for the previous example, which statements are accurate conclusions? group of answer choices the proportion of drinkers in the population of ca college students is not 0.60. there is a statistically significant difference between the proportion of drinkers in the american adult population (0.60) and the proportion of drinkers in the population of ca college students. a larger proportion of ca college students drink alcohol compared to the adults nationwide. when we compare the american adult population to the population of ca college students, there is a 0.06 difference in the proportion of drinkers.
Answers
The following statements are accurate conclusions:
The proportion of drinkers in the population of California college students is not 0.60.There is a statistically significant difference between the proportion of drinkers in the American adult population (0.60) and the proportion of drinkers in the population of California college students.A larger proportion of California college students drink alcohol compared to adults nationwide.The null hypothesis is: The proportion of California college students who currently drink alcohol is the same as the proportion nationwide (p = 0.60).
The alternative hypothesis is: The proportion of California college students who currently drink alcohol is different from the proportion nationwide (p ≠ 0.60).
p in the hypotheses represents the proportion of college students who currently drink alcohol.
The Z-score is calculated as:
Z = (0.66 - 0.60) / 0.023 = 2.61
The P value can be obtained from a standard normal distribution table or calculator:
P = 0.0045 (for a two-tailed test)
We reject the null hypothesis and come to the conclusion that there is a statistically significant difference between the proportion of drinkers in the population of California college students and the proportion of drinkers in the American adult population because the P value (0.0045) is less than the significance level (which is not stated in the question) (0.66).
For the given question:
The following statements are accurate conclusions:
The proportion of drinkers in the population of California college students is not 0.60.There is a statistically significant difference between the proportion of drinkers in the American adult population (0.60) and the proportion of drinkers in the population of California college students.A larger proportion of California college students drink alcohol compared to adults nationwide.The result that "There is a 0.06 difference in the proportion of drinkers when we compare the US adult population to the population of CA college students" is untrue since the hypothesis test is not concerned with proportional differences.
The complete question is:-
Normal Distribution Calculator Drag the orange flag left or right to change the Z-score Alternatively, enter a Z-score into the textbox and click enter. Enter 8 -1 Z-score: -1.000 0 Z-score The area to the left of the Z value is 0.1587 The area to the right of the Z value is 0.9413 Question 1 6 pts California College Students Who Drink According to the Centers for Disease Control and Prevention, 60% of all American adults ages 18 to 24 currently drink alcohol. Is the proportion of California college students who currently drink alcohol different from the proportion nationwide? A survey of 450 California college students indicates that 66% currently drink alcohol. The null hypothesis is (Select] The alternative hypothesis is Select] p in the hypotheses represents [Select) The standard error is 0.60(1-0.60) 450 = 0.023 The Z-score is (Select] The P value is Select) The conclusion is Select Question 2 4 pts For the previous example, which statements are accurate conclusions? The proportion of drinkers in the population of CA college students is not 0.60. There is a statistically significant difference between the proportion of drinkers in the American adult population (0.60) and the proportion of drinknes in the population of CA college students A larger proportion of CA college students drink alcohol compared to the adults nationwide When we compare the American adult population to the population of CA college students, there is a 0.06 difference in the proportion of drinkers
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Related Questions
The net of a right rectangular prism is shown.
2.6
3.9
3.9
5.2
3.9
5.2
2.6
What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box.
unit²
Answers
The surface area of the right rectangular prism is 87.88 square units.
The surface area of a rectangle is the total area or area of six faces. A prism is a solid with straight parallelogram sides and a base of the same polygon. There are many types of prisms such as triangular prism, square prism, cartesian prism, penta prism, and hexagonal prism.
Given that:
from the set of information :
Length(l) = 5.2
Breadth (b) = 2.6
Height(h) = 3.9
Area of the rectangular prism = 2(lb + bh + lh)
= 2(5.2×2.6 + 2.6×3.9 + 3.9×5.2)
= 2(43.94)
= 87.88
Therefore, the surface area of the right rectangular prism is 87.88 square units.
Complete Question:
The net of a right rectangular prism is shown 2.6 3.9 5.2
What is the surface area of the right rectangular prism? Enter the answer as a decimal in the box unit².
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6 - (5 divided by a)^3 + 8 a=5
Answers
Answer:
13
Step-by-step explanation:
Evaluate the expression:
[tex]6-(5 \div a)^3 +8[/tex]
a = 5, plug in the value
[tex]6-(5\div 5)^3 + 8[/tex]
Divide in parentheses
[tex]6-1^3+8[/tex]
1^3 = 1, then subtract 6 and 1
[tex]5+8[/tex]
Add
[tex]13[/tex]
2.quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used? construct a control chart with 3-sigma control limits.
Answers
The type of control chart should be used here is equals to C-chart. So, the right answer is option (c). The upper and lower control limits are 10 and 0 respectively.
We have a quality style manufactures self-assembling furniture.
Average Defect rate = 4 per day
Now, here we are checking the number of defective packages per day which is independent day to day and have a mean or average of 4 per day. So, we use here the C- chart one of type of control chart. Also, we have to draw control chart with 3-sigma control limits. Average defect Rate, c' = 4
We determine the control limits,
CL = 3 ( 3-sigma )
The upper control limit , UCL = c' + 3 √c'
= 4 + 3 √4 = 10
The lower limit, LCL= max ( 0, c' - 3 √c')
c' - 3 √c' = 4 - 3√4 = -2, as it is less than zero, So, lower control limit, LCL= 0.00.
The construction of control chart always consists,
First, we have to determine the mean of the observed data.Secondly, we have to determine the variance of the set.Third, calculate the standard deviation, which means the square root of the variance.Fourth, we have to determine the three-sigma, which means three standard deviations above the mean. a central line for the average, an upper line for the upper control limit, and a lower line for the lower control limit.For more information about Control chart , refer :
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Complete question:
quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used?
i) R chart
ii) p chart
iii) c chart
construct a control chart with 3-sigma control limits.
Amy is ordering a triangular shaped window for the house that she is building.
The area of the window is 24 ft2, and the base of the window measures 6 ft. What is the height of the window?
Answers
The height of the triangular window is 8 feet.
To find the height of Amy's triangular window, we need to use the formula for the area of a triangle:
Area = (1/2) × base × height.
From the student question, we know the area of the window is 24 ft², and the base of the window measures 6 ft.
We can plug these values into the formula:
24 = (1/2) × 6 × height
Now, let's solve for the height:
First, simplify the equation: 24 = 3 × height
Next, divide both sides by 3: height = 24 / 3
Finally, calculate the height: height = 8 ft.
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motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. assume a production process produces items with a mean weight of 11 ounces. a. the process standard deviation is , and the process control is set at plus or minus standard deviations. units with weights less than or greater than ounces will be classified as defects. what is the probability of a defect (to 4 decimals)? 0.3173 in a production run of parts, how many defects would be found (to the nearest whole number)? 16 b. through process design improvements, the process standard deviation can be reduced to . assume the process control remains the same, with weights less than or greater than ounces being classified as defects. what is the probability of a defect (to 4 decimals)? in a production run of parts, how many defects would be found (to the nearest whole number)? c. what is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard deviations from the mean?
Answers
(a) (i) 0.3174 = 31.74% probability of a defect
(ii) The expected number of defects for a 1,000-unit production run is 317.
(b) (i) 0.0026 = 0.26% probability of a defect
(ii) The expected number of defects for a 1,000-unit production run is 3.
(C) Reduces the process standard deviation and causes no change in the number of defects.
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation, the score of a measure X is given by:
Z = X-μ /σ
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Question a:
We have that: μ = 10 and σ = 0.12
(i). Calculate the probability of a defect.
Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.
Probability of less than 9.88:
This is the p-value of Z when X = 9.88. Thus,
Z = X-μ /σ
⇒ Z = 9.88 - 10/0.12
⇒ Z = -1, has a p-value of 0.1587
⇒ 2× 0.1587 = 0.3174
This means 0.3174 = 31.74% probability of a defect
(ii) Calculate the expected number of defects for a 1,000-unit production run.
The expected number of defects is 31.74% of 1000. So
0.3174*1000 = 317.4
Rounding to the nearest integer
The expected number of defects for a 1,000-unit production run is 317.
Question (b):
The mean remains the same, but the standard deviation is now
(i) Calculate the probability of a defect.
Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.
Probability of less than 9.88:
This is the p-value of Z when X = 9.88. Thus,
Z = X-μ /σ
⇒ Z = 9.88 -10/0.04
⇒ Z = -3
⇒ Z = -3, has a p-value of 0.0013
which means 2× 0.0013 = 0.0026
from which 0.0026 = 0.26% probability of a defect
(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,
⇒ 0.0026*1000 = 2.6
Rounding to the nearest integer
The expected number of defects for a 1,000-unit production run is 3.
(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.
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the basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 23 items and made a profit of $ 246 $246. they made a profit of $ 10 $10 for every t-shirt they sold and $ 12 $12 for every hat they sold. determine the number of t-shirts and the number of hats the basketball team sold.
Answers
If basketball team sold total of 23, t-shirts and hats as a fund-raiser, then the number of hats sold is 8 and number of T-Shirts sold is 15.
Let us denote the number of t-shirts sold = "x', and
let the number of hats sold be = "y".
So, a system of two equations to represent the information is written as:
The total-items sold at fund-raiser is = 23,
So,
⇒ x + y = 23 ...equation(1),
The total profit is = $246,
So,
⇒ 10x + 12y = 246 ...equation(2)
Solving equation(1) for x,
We get,
⇒ x = 23 - y
Substituting value of "x" into equation 2,
We get,
⇒ 10 × (23 - y) + 12y = 246,
⇒ 230 - 10y + 12y = 246
⇒ 2y = 16
⇒ y = 8
So, the basketball team sold 8 hats.
Substituting this value into equation(1);
We get,
⇒ x + 8 = 23
⇒ x = 15
Therefore, the basketball team sold 15 t-shirts and 8 hats.
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The given question is incomplete, the complete question is
The basketball team sold t-shirts and hats as a fund-raiser. they sold a total of 23 items and made a profit of $246. they made a profit of $10 for every t-shirt they sold and $12 for every hat they sold.
Determine the number of t-shirts and the number of hats the basketball team sold.
14
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the f
If p-1 is a factor of p*+p²+p-k, the value of kis
Reset
Next
Answers
To test if p - 1 is a factor of p^2 + p + p - k, we can use synthetic division.
Place the coefficients of p^2 + p + p - k in the top row of the division table, and write (p - 1) to the left, outside of the table:
| 1 1 1 -k
1 |__________
|
Bring down the first coefficient of 1:
| 1 1 1 -k
1 |__________
| 1
Multiply the 1 by (p - 1) to get p - 1:
| 1 1 1 -k
1 |__________
| 1
|__________
Add the entries diagonally (1 and 1) to get 2 and write the result under the next coefficient of 1:
| 1 1 1 -k
1 |__________
| 1
|__________
2
Multiply the 2 by (p - 1) to get 2p - 2:
| 1 1 1 -k
1 |__________
| 1
|__________
2
-2p+2
Add the entries diagonally (2 and 1) to get 3 and write the result under the next coefficient of 1:
| 1 1 1 -k
1 |__________
| 1
|__________
2
-2p+2
________
3
Multiply the 3 by (p - 1) to get 3p - 3:
| 1 1 1 -k
1 |__________
| 1
|__________
2
-2p+2
________
3
-3p+3
Add the entries diagonally (3 and 1) to get 4 and write the result under the next coefficient of -k:
| 1 1 1 -k
1 |__________
| 1
|__________
2
-2p+2
________
3
-3p+3
________
4
The remainder is 4, which means that p - 1 is a factor of p^2 + p + p - k if k = 4.
Therefore, the value of k is 4.
Kim receives 4 stickers more than Jim. If Kim receives 20 stickers, What is the ratio of Kim’s stickers to Kim’s stickers? How many stickers must Kim receive if Jim gets 60 stickers?
Answers
Kim must receive 75 stickers if Jim gets 60 stickers.
1. Since Kim receives 4 stickers more than Jim, and Kim receives 20 stickers,
we can determine the number of stickers Jim receives:
Jim's stickers = Kim's stickers - 4
Jim's stickers = 20 - 4
Jim's stickers = 16
2. The ratio of Kim's stickers to Jim's stickers is:
Kim's stickers : Jim's stickers
20 : 16
3. To simplify the ratio, divide both numbers by their greatest common divisor (4):
(20/4) : (16/4)
5 : 4
So, the ratio of Kim's stickers to Jim's stickers is 5:4.
4. If Jim receives 60 stickers, we can determine how many stickers Kim must receive using the ratio 5:4:
4 units = 60 stickers (Jim's)
1 unit = 60 stickers / 4
1 unit = 15 stickers
Since Kim has 5 units in the ratio:
Kim's stickers = 5 units * 15 stickers/unit
Kim's stickers = 75 stickers.
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GEOMETRY HELP!!!! WILL GIVE BRAINLIEST!!!
Answers
Geometry is the branch of mathematics that deals with shapes, sizes, positions, and properties of space. It involves concepts such as points, lines, angles, and shapes such as triangles, circles, and polygons.
To excel in geometry, it is important to have a good grasp of the basic concepts and formulas. You should understand the properties of different shapes and know how to calculate their areas and volumes.
One important formula in geometry is the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Another important concept is trigonometry, which deals with the relationships between the sides and angles of triangles.
Overall, geometry is a fascinating subject that is essential for a wide range of applications, from architecture and engineering to computer graphics and art. If you need more specific help or have any questions, feel free to ask!
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for the following situations, would you collect information using a sample or a population? a. to find how many books are published in one week by a famous publishing company. multiple choice 1 sample population b. to test a new drug produced by a biotech company. multiple choice 2 sample population c. to find the number of men and women working in an it company with 600 people. multiple choice 3 population sample d. to estimate the average salary of doctors in california. multiple choice 4 population sample
Answers
We have to solve all of the parts of the given problem using our understanding of a sample and a population. It is given below.
A sample is taken when you want to take data from a specific set and then make observations based on that. A population is, on the other hand, the complete set that you want to make your observations from.
In the given problem -
A. To find how many books are published in one week by a famous publishing company - We are going to use a sample because we need to observe under s set category - one week.
B. To test a new drug produced by a biotech company - We are going to use a population because we need to monitor all individuals who take this drug.
C. To find the number of men and women working in an IT company with 600 people - We use a population here because we are going to use the data of all the people in the company.
D. To estimate the average salary of doctors in California - We use a sample here because the set category is California.
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What is the measure of angle L? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠L= °. LMN is a right triangle. M is a right angle. LM is equal to 18 inches, and LN is the hypotenuse and is equal to 60 inches.
Answers
The measure of angle L is approximately 48.59 degrees.
What is Pythagoras' Theorem?
Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
We can use trigonometry to solve for angle L. Using the Pythagorean theorem, we can find that the length of side MN is:
MN = sqrt(LN² - LM²) = √(60² - 18²) = √(3444) ≈ 58.66 inches
Now, using the definition of sine, we have:
sin(L) = MN / LN = 58.66 / 60
Taking the inverse sine (sin⁻¹) of both sides, we get:
L = sin⁻¹(58.66/60) ≈ 48.59 degrees
Therefore, the measure of angle L is approximately 48.59 degrees.
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Find the sum.
(3g^2-g) + (3g^2-8g+4)
Answers
The sum of the given algebraic expression is =6g²-9g +4
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
The given expression is
=3g²-g+(3g²-8g+4)
=3g²-g + 3g² -8g +4
=6g²-9g +4
The sum of the given algebraic expression is =6g²-9g +4
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Select the correct answer. Solve the following quadratic equation. (x + 4)² = 25 A. B. C. D. x = 9 and x = − 1 9 and r -9 and r I= 9 and x = 1 x= 3665 -1 2
Answers
Hence, After solving this quadratic equation D is the right response x = -9 or x = 1,
How to solve quadratic equation?Three fundamental approaches can be used to resolve quadratic equations:
Factoring, first
2. Applying the quadratic equation
3. Finish the square.
To factor an equation with a quadratic term:
1. Place the equal sign with zero on the other side and all terms on one side.
2. Aspect.
3. Define each factor as zero.
4. Handle the equations in order.
5. Verify by entering your solution into the initial equation.
In order to use the quadratic formula to solve a quadratic equation:
1. Type the quadratic formula into your calculator: x = (-b (b2 - 4ac)) / (2a).
2. Determine the quadratic equation's values for the variables a, b, and c.
3. Enter these numbers as replacements in the quadratic formula, then simplify.
(x + 4)² = 25 is the quadratic version of the given equation.
By taking the square root of each side of the equation and then figuring out x,
we can solve this equation.
(x + 4)² = 25
Square roots of both sides result in x + 4 = 5 and x = -4 5.
Because of this, x = -9 or x = 1.
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Answer:
x=-9 and x=1
Step-by-step explanation:
It was correct for me
(y+4)^2 * (y-4)^2
Pls help, will mark brainliest
(Use factoring)
Answers
Answer:
Step-by-step explanation:
How answer this question
Answers
Answer:
[tex]54 \: {ft}^{2} [/tex]
Step-by-step explanation:
The surface area is the sum of the lateral and base areas
Since the given figure is a cube (all sides and walls of a cube are equal), instead of finding its surface area the harder way, we can find the area of one side and multiply it by the number of sides a cube has (which is 6):
[tex]a(surface) = 3 \times 3 \times 6 = 54 \: {ft}^{2} [/tex]
Answer: 54 ft²
Step-by-step explanation: The side of a cube is given to be 3ft
We know the formula of the surface area of a cube is: 6A²
putting the value of side in the formula gives
6x(3)²=54 ft²
11. Matt brings twelve basketballs to the park for practice. The diameter of the basketball is 9.5
inches. How much cubic inches of air will you need to fill all the basketballs?
(Round to the nearest hundredth.)
Answers
Answer: 5387.05 [tex]in^3[/tex]
Step-by-step explanation:
9.5 / 2 = 4.75 (Radius of 1 Basketball)
V = [tex]\frac{4}{3} \pi r^3[/tex]
V = (4 x π x 4.75^3) / 3
V = 1346.761 / 3
V = 448.92
Thus we need 448.92 [tex]in^3[/tex] to fill 1 basketball
12 Basketballs = 449.92 * 12
12 Basketballs = 5387.046 ≈ 5387.05
g if a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.
Answers
The diameter decrease rate is approximately 0.041 cm/min when the diameter is 11 cm.
The surface of a sphere of diameter d is given by
[tex]A = 4πr^2 = πd^2[/tex]
where r is the radius of the sphere.
the rate of decrease in diameter (d) when the diameter is 11 cm.
We can start by deriving the formula for the surface area over time.
[tex]dA/dt = d/dt(πd^2)[/tex]
With chain rules it looks like this:
dA/dt = 2πd (dd/dt)
where dd/dt is the rate at which the diameter decreases.
Knowing that dA/dt is given as [tex]-9 cm^2/min[/tex] (unfavorable due to reduced surface area), look for dd/dt at d = 11 cm.
Substituting these values into the above formula yields:
-9 = 2π(11) (dd/dt)
Simplified, it looks like this:
dd/dt = -9/(22π)
dd/dt ≈ -0.041 cm/min (rounded to three decimal places)
So for a diameter of 11 cm, the diameter decrease rate is approximately 0.041 cm/min.
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The answer of this question bc it showing me the answer is D
Answers
Answer:
You're right -- it's B!
Step-by-step explanation:
When raising a power to a power, multiply exponents. The answer would be D if it were 4^6 times 4^3, but it's (4^6)^3, so I'm not sure what is happening to the computer.
$495 is 55% of what number?
Percent Proportion -
Percent Equation -
Answers
To find the number that 495 is 55% of, we can use the percent proportion or percent equation.
Using the percent proportion:
Part/Whole = Percent/100
Let x be the whole (or total) number we are looking for. Then:
495/x = 55/100
We can cross-multiply to solve for x:
49500 = 55x
Dividing both sides by 55:
x = 900
Therefore, 495 is 55% of 900.
Using the percent equation:
Percent * Whole = Part
Let x be the whole (or total) number we are looking for. Then:
55% * x = 495
We can divide both sides by 0.55 to solve for x:
x = 495 / 0.55
Simplifying:
x = 900
Therefore, 495 is 55% of 900.
Answer: 55 %
Step-by-step explanation:
To find the number that $495 is 55% of, we can use the following proportion:
part/whole = percent/100
Let x be the number we are trying to find, then we can write:
495/x = 55/100
To solve for x, we can cross-multiply:
55x = 49500
Dividing both sides by 55, we get:
x = 900
Therefore, $495 is 55% of 900.
Anderson bought 3 posters for his bedroom.
Answers
Answer:
Anderson bought 3 posters for his bedroom? What's the actual question.
suppose George has three pieces of wood to use for a triangular frame for his art piece the pieces of wood have length of 16 inch 14 inch 30-in can George use these pieces of wood to make a triangular frame
Answers
The given wood length does not satisfied the property of triangle through which it unable to create a triangle.
What about length of triangle?
The length of a triangle depends on the specific triangle you are referring to and the measurements of its sides. A triangle is a three-sided polygon, and its length is typically measured as the length of its sides.
There are different types of triangles based on their side lengths, such as equilateral triangles with three equal sides, isosceles triangles with two equal sides, and scalene triangles with no equal sides. The length of each side in these triangles can be determined using various methods, such as the Pythagorean theorem, the Law of Cosines, or trigonometric functions.
Define triangle property:
A triangle is a polygon with three sides and three angles. The properties of a triangle include:
Three sides: A triangle has three sides that can have different lengths.Three angles: A triangle has three angles that add up to 180 degrees.Interior angles: The interior angles of a triangle can be acute (less than 90 degrees), right (exactly 90 degrees), or obtuse (greater than 90 degrees).Exterior angles: The exterior angles of a triangle are formed by extending one of the sides of the triangle and measuring the angle between it and the adjacent side. The sum of the measures of the exterior angles of a triangle is always 360 degrees.According to the given information:
As, we know the property of triangle that sum of two side always greater than third side of the triangle. But when add 16 inch and 14 inch we get 30 inch as a result that is same length of the third side.
Hence, it is not greater than third side so, through the given length we can't create a triangle.
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Explain this question help me?
Answers
Answer:
D. y = 1.5[tex](4)^{x}[/tex]
Step-by-step explanation:
There are a lot of ways to solve this, but here we will just use the simplest way is to put the number in for x and y to see if it is true or not, and that will be the correct answer.
Let's use the point (4, 384)
A. y = 4[tex](2)^{x}[/tex]
384 = 4[tex](2)^{4}[/tex]
384 = 64
This is not true, so A is wrong.
B. y = 3[tex](2)^{x}[/tex]
384 = 3[tex](2)^{4}[/tex]
384 = 48
This is not true, so B is wrong.
C. y = 4[tex](1.5)^{x}[/tex]
384 = 4[tex](1.5)^{4}[/tex]
384 = 20.25
This is not true, so C is wrong.
D. y = 1.5[tex](4)^{x}[/tex]
384 = 1.5[tex](4)^{4}[/tex]
384 = 384
This is true, so D is the answer.
PLEASE HELP I WILL GIVE BRAINLYIEST
Write a linear polynomial (degree of 1) to represent the length of a rectangle. Write another linear
polynomial (degree of 1) to represent the width of a rectangle.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: For your answer for the area of the reaction in Part A, explain its degree and classification and why it
has that degree and classification? (3 points)
Part C: Explain how closure under multiplication applies to your your dimension and area in Part A. (7 points)
Answers
Therefore, the expression that represents the area of the rectangle is A(x) = mnx² + (mc + bn)x + bc.
What is polynomial?In mathematics, a polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, which are combined using only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Here,
Part A:
Let's assume that the length of the rectangle is represented by the linear polynomial L(x) = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, let's represent the width of the rectangle by the linear polynomial W(x) = nx + c, where n is the slope of the line and c is the y-intercept.
The area of the rectangle is given by multiplying the length and width of the rectangle, so we can express the area A(x) as:
A(x) = L(x) * W(x)
= (mx + b) * (nx + c)
= mnx² + (mc + bn)x + bc
Part B:
The degree of the polynomial A(x) is 2, which makes it a quadratic polynomial. The classification of the polynomial A(x) is that of a concave upward parabola. The degree of the polynomial is 2 because of the presence of the quadratic term mnx² in the expression for the area. The classification of the polynomial as a concave upward parabola is because the coefficient of the x² term is positive (i.e., mn > 0), and this causes the graph of the polynomial to curve upwards.
Part C:
Closure under multiplication means that if we multiply two numbers in a certain set, the result is always within that same set. In the context of the dimensions and area of a rectangle, closure under multiplication applies because if we multiply the length and width (which are both represented by linear polynomials), the resulting area (which is represented by a quadratic polynomial) is still within the same set of polynomial functions. Specifically, multiplying two linear polynomials results in a quadratic polynomial, and since polynomial functions are closed under multiplication, the resulting area polynomial is still a polynomial function. This means that the area of the rectangle can be represented by a single polynomial function, which is useful for various mathematical computations and applications.
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(HEY I HAVE KNOW IDEA IF YOU COULD HELP THAT WOULD BE GREAT HIGH POINTS!!!!!)
Answers
11. The relation is given by the set of ordered pairs: {(0.5, 2), (3, 2), (1, 3), (5, -5)}. To graph this relation, plot each point on a coordinate plane and connect them with a smooth curve.
12. The relation is given by the set of ordered pairs: {(-1, -4), (0, -1), (1, 2), (2, 5)}. To graph this relation, plot each point on a coordinate plane and connect them with a smooth curve.
13. The relation graphed below is a straight line with slope -2 and y-intercept 0.
14. This is a linear function with slope -2.
15.
x y
-5 -8
3 0
7 4
16.
x y
-10 16
-5 11
0 6
2 2
17.
x y
-3 9
-1 7
3 3
18.
x y
-3 1
0 -5
3 -11
What is function?In mathematics, a function is a relationship between two variables in which one variable (the independent variable) determines the value of the other variable (the dependent variable). It assigns a unique output value to each input value. Functions are commonly denoted as f(x), where x is the independent variable and f(x) is the dependent variable.
Here,
The relation ((0.5), (3-1), (1,3), (5,-5)) has three pairs of values: (0.5, 3-1), (1, 3), and (5, -5).
To plot this relation, you can plot each point on a coordinate plane. The first value in each pair represents the x-coordinate, and the second value represents the y-coordinate.
The relation ((-1,-4), (0, -1), (1, 2), (2, 5)) has four pairs of values: (-1, -4), (0, -1), (1, 2), and (2, 5).
To plot this relation, you can plot each point on a coordinate plane. The first value in each pair represents the x-coordinate, and the second value represents the y-coordinate.
The equation y = -2x represents a linear function with a slope of -2 and a y-intercept of 0.
To graph this function, you can plot any two points that satisfy the equation and draw a line passing through those points. For example, you can use the points (0, 0) and (1, -2).
To complete the function table for y = x - 3, you can substitute each value of x in the equation and solve for y.
For example, when x = -5, y = -5 - 3 = -8. Repeat the process for the other values of x.
To complete the function table for y = 4x + 4, you can substitute each value of x in the equation and solve for y.
For example, when x = -2, y = 4(-2) + 4 = -4. Repeat the process for the other values of x.
To complete the function table for y = -x + 6, you can substitute each value of x in the equation and solve for y.
For example, when x = -10, y = -(-10) + 6 = 16. Repeat the process for the other values of x.
To complete the function table for y = -2x - 5, you can substitute each value of x in the equation and solve for y.
For example, when x = -3, y = -2(-3) - 5 = 1. Repeat the process for the other values of x.
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2x + 8y = 6
5x + 20y = 15
Answers
Answer: 0=0
Step-by-step explanation:
In cyclic quadrilateral PQRS,
[tex]\frac{\ \textless \ P}{3} =\frac{\ \textless \ Q}{4}=\frac{\ \textless \ R}{5}[/tex]
Find the largest angle in quadrilateral PQRS, in degrees. ("<" =angle and the answer isn't 120)
Answers
So, the largest angle in quadrilateral PQRS is < 120 degrees.
A cyclic quadrilateral is what?
A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.
Considering that,<P=3x , <Q=4x and <R=5x
∠P + ∠R = 180º ∠Q + ∠S = 180º
Then we can write
3x+4x+5x+<S=360
12x+<S=360
<S=360-12x
We are aware that in a cyclic quadrilateral, the largest angle lies opposite the smallest angle.
Hence, in order to determine the largest angle, we must first determine the smallest angle.
P being the smallest angle leads us to believe that it is equal to x.
Therefore:
x+4x+5x+<s=360
10x+<s=360
<S=360-10x
therefore, Largest angle
- 10x < 360 - (10 * 24) = 120
So, the largest angle in quadrilateral PQRS is less than 120 degrees.
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30 points to whoever solves
Answers
Answer: 24,500 ways
Step-by-step explanation:
The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70. Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.
To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.
Therefore, the total number of ways to select the full meal is given:
70 x 10 x 35 = 24,500
Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.
Answer:
Step-by-step explanation:
The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70.
Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.
To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.
Therefore, the total number of ways to select the full meal is given:70 x 10 x 35 = 24,500.
Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.
Please help me with these two questions this is due today
Answers
The second one is: y= x^2 - 6x + 45
1. Given the table of values, the inequality shows that the following x-values and their corresponding y-values will be used in the equation.
x_1 = 2, x_2 = 13
ROC: (y_2 - y_1)/(x_2 - x_1)
Substitute values from the table into this equation.
(10-1)/(13-2) = 9/11
2.
Then for the second question, standard form means it is written starting with the highest exponent and descending, finally ending with a constant (a # without a variable attached).
y=(x-3)^2 + 36
Expanded, this looks like:
y=(x-3)(x-3) + 36
Now FOIL the terms in the parentheses:
y = x^2 -3x -3x + 9 + 36
Finally, add the like terms (the ones of the same degree, and the constants).
y= x^2 - 6x + 45
) how many ways can the letters of the word mailbox be arranged in a row? since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. so the answer is . (b) how many ways can the letters of the word mailbox be arranged in a row if m and a must remain together (in order) as a unit? (c) how many ways can the letters of the word mailbox be arranged in a row if the letters ilb must remain together (in order) as a unit?
Answers
Solving the question with the laws of combinatorics, specifically permutation problems.(a) 5,040 (b) 1,440. (c) 4,320.
(a) The word "mailbox" has 7 distinct letters. Therefore, the number of ways the letters can be arranged in a row is 7! = 5,040.
(b) If m and a must remain together (in order) as a unit, we can think of them as a single letter "ma". Now we have 6 letters to arrange in a row, which can be done in 6! ways. However, within the "ma" unit, the letters can be arranged in 2! ways. Therefore, the total number of arrangements is 6! × 2! = 1,440.
(c) If the letters ilb must remain together (in order) as a unit, we can think of them as a single letter "ilb". Now we have 5 letters to arrange in a row, which can be done in 5! ways. However, within the "ilb" unit, the letters can be arranged in 3! ways. Therefore, the total number of probable arrangements is 5! × 3! = 720 × 6 = 4,320.
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For each of the parabolas, identify the following properties:
Be sure to lable the:
Vertex
Max/min value
Axis of symmetry
Zero(s)
Direction of opening
Y-intercept
Answers
Parabola 1 :
Vertex: (-1,2)
Min: -2
AOS: x=-1
DoO: downwards
y-Int.: -4
parabola 2:
Vertex; (0,0)
Min: 0
AOS: x=0
DoO:upwards
Parabola 3:
Vertex: (2,1)
Min: 1
AOS: x=2
DoO.:upwards
i left some stuff out because I do not know it k think it’s pretty correct