Answer: Simplify the expression.
6.1b − 4.9
What is x + y when x = 4 and y = -5
Answer:
x + y = -1
Step-by-step explanation:
4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1
What is the sum of the first thirteen terms in a geometric series with a1=−3 and r=4?
Answer:
The sum of the first 13 terms of the sequence is -67,108,863.
Step-by-step explanation:
Sum of the first n terms of a geometric sequence:
The sum of the first n terms of a geometric sequence, with first term [tex]a_1[/tex] and ratio r, is given by:
[tex]S_n = \frac{a_1(1-r^n)}{1-r}[/tex]
In this question:
[tex]a_1 = -3, r = 4[/tex]
Sum of the first 13 terms:
[tex]S_{13} = \frac{-3(1 - 4^13)}{1-4} = -67108863[/tex]
The sum of the first 13 terms of the sequence is -67,108,863.
What is the circumference of this circle? Use π = 3.14
The circumference of this circle is equal to 50.24 centimeters.
What is a circle?In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.
Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = 2 × 3.14 × 8
Circumference of circle, C = 50.24 centimeters.
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Use the drop-down menus to complete each equation so the statement about its solution is true PLS ANSWER NOW
Answer:
4x + 4
Step-by-step explanation:
Not sure if I understand the question but I think that's what the answer is for all 3 drop downs. :)
John bought 25 apples for $3. Jane bought the same apples at the same price but only needed 10.
How much should Jane have to pay?
$
Answer:
3 ÷ 25 = 0.2
0.2 × 10
= $ 10
............
Plz help me well mark brainliest if correct
Answer:
C.11
Step-by-step explanation:
yellow fur and green eyes =19 students
brown fur and brown eyes= 8 students
subtract them
19-8=11 students
Find the area of the trapezoid
Answer:
The area of this trapezoid is equal to 240 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a trapezoid can be found by using the following formula...
[tex]Area = \frac{(a + b)h}{2}[/tex] (in this formula a and b are the bases of the trapezoid and h is
the height of the trapezoid).
Now we just substitute the values and get...
[tex]Area = \frac{(a + b)h}{2} = \frac{(9 + 15)(20)}{2} = \frac{480}{2} = 240m^{2}[/tex]
harry has a poster that is 3 feet wide he wants to draw 1/6 of a foot wide how many columns can gerry draw
The area of the base of a cylindrical container is defined by b(x) = x*2 - x + 12. Find
the volume of water that can be stored inside the container if the height is defined
by h(x) = x - 1.
Answer: [tex]V=x^3-2x^2+13x-12[/tex]
Step-by-step explanation:
Given
The area of the base is given by [tex]b(x)=x^2-x+12[/tex]
The height of the container is [tex]h(x)=x-1[/tex]
The volume of the cylindrical container is
[tex]V=Area\times height[/tex]
Insert the values
[tex]\Rightarrow V=\left( x^2-x+12\right)\cdot \left(x-1\right)\\\Rightarrow V=x^3-x^2+12x-x^2+x-12\\\Rightarrow V=x^3-2x^2+13x-12[/tex]
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
Step-by-step explanation:
0.25 x 0.044 = 0.011
a. Changing 0.25 to 25 moves the decimal 2 places to the right, and changing 0.044 to 44 moves the decimal 3 places to the right, so once we solve 25 x 44, we have to move the decimal a total of 5 places to the left.
25 x 44 = 1100, then move the decimal 5 places to the left to get 0.01100...but we don't add the zeros at the end.
b. multiplying 1/4 times 0.044 = 0.044/4 = 0.011
Hope this helps.
Unit 11 homework 1 area of plane figures number 12
Answer:
wth
Step-by-step explanation:
give us the god dang question and stop being lazy
Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 50 vehicles enter this intersection from the east, use technology and the normal approximation to the binomial distribution to find the exact and approximate probabilities of the following. (Round your answers to four decimal places.)
a. 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
Answer:
a)
0.3632 = 36.32% approximate probability that 15 or fewer turn right.
0.369 = 36.9% exact probability that 15 or fewer turn right.
b)
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.
This means that [tex]p = \frac{1}{3}[/tex]
50 vehicles
This means that [tex]n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50\frac{1}{3} = 16.67[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50\frac{1}{3}\frac{2}{3}} = 3.33[/tex]
a. 15 or fewer turn right.
Using continuity correction, this is [tex]P(X \leq 15 + 0.5) = P(X \leq 15.5)[/tex], which is the pvalue of Z when X = 15.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.5 - 16.67}{3.33}[/tex]
[tex]Z = -0.35[/tex]
[tex]Z = -0.35[/tex] has a pvalue of 0.3632
0.3632= 36.32% approximate probability that 15 or fewer turn right.
Using a binomial probability calculator, to find the exact probability, we get a 0.369 = 36.9% exact probability that 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
Turn either left or right, so:
[tex]p = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex]
The standard deviation remains the same, while the mean will be:
[tex]\mu = E(X) = np = 50\frac{2}{3} = 33.33[/tex]
Two thirds of the sample is 33.33, so at least 34 turning, which, using continuity correction, is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 33.33}{3.33}[/tex]
[tex]Z = 0.05[/tex]
[tex]Z = 0.05[/tex] has a pvalue of 0.5199
1 - 0.5199 = 0.4801
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
Using a binomial probability calculator, we find a 0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
x = 20
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
add expressions for each angle then combine 'like terms':
6x - 5 + 2x - 3 + x + 8 = 180
9x - 8 + 8 = 180
9x = 180
x = 180/9
x = 20
why is 2^3x 5^4x 9^4 not a prime factorization? what is the prime factorization of the number?
Can y’all help me on question 16?!
Answer and Step-by-step explanation:
The answer is D. z = x + 6
This is because the values for x, when plugged in for x, correlates to the values of y shown in the table.
#TeamTrees #PAW (Plant And Water)
What are the features of the function f(x)=−2log3 (x+4) graphed below?
Answer:
Step-by-step explanation:
The function f(x) is a logarithmic function with a vertical asymptote of x = -4. The range of the function is (-∞, ∞), and it is decreasing on its domain of (-4, ∞). The end behavior on the LEFT side is as x → -4 (from the right), y → ∞, and the end behavior on the RIGHT side is as x → ∞, y → -∞.
The characteristics of the logarithmic function are described below:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.Analysis of a logarithmic function
The graph of the function is attached below. After a quick analysis, we conclude the following characteristics of the given function:
Domain of the function is [tex](-4, +\infty)[/tex]Range of the function is the set of all real numbers.The component [tex]x+4[/tex] indicates the existence of a vertical asymptote at [tex]x=-4[/tex].The constant [tex]-2[/tex] reflects the logarithm about the x-axis.To learn more on logarithm, we kindly invite to check this verified question: https://brainly.com/question/7302008
Can someone help me? It would mean the world if u helped me have a nice day! <3
Answer:
4500 ml kkkkkkkkkkkkkkkkkk
Select the correct answer. What is this equation rewritten in exponential form? log7 343 = 3 A. 37 = 343 B. 73 = 343 C. 343x = 7 D. 343x = 3
The solution to the equation log₇343 = 3 is 7³ = 343
What is an equation?An equation is used to show the relationship between numbers and variables.
The logarithm can be defined as the exponent that raises a base to get a particular number. The law of logarithm states:
logₓm = n is the same as xⁿ = m
Given the equation:
log₇343 = 3
Applying the law of logarithm gives:
7³ = 343
The solution to the equation is 7³ = 343
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nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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A bicycle shop is selling $500.00 bikes at 10% off. If the sales tax is 13% how much will the
bike cost?
Find the product 1 1/4 x 5 3/5
In JKL, KL = 14, LJ = 3, and JK =12. Which statement about the angles of JKL must be true?
Answer:
D. [tex]L > J > K[/tex]
Step-by-step explanation:
Givenwe are given the vertecies (angles) of the trianglewe are given the side lengths of the triangleWhat to UtilizeThus, we have to utilize the angle relationships in a triangle.
Angle Relationships in a Triangle⭐The largest side is always opposite of the largest angle
⭐The smallest side is always opposite of the smallest angle
Application1. Identify the side lengths of triangle JKL
KL = 14LJ = 3JK = 122. Determine which vertecies are opposite of each side length (draw the figure)
Angle L is opposite of JK (14)Angle K is opposite of LJ (3)Angle J is opposite of KL (12)3. Determine which angles are the greatest, smallest, and in-between
Angle L is the LARGEST angle because it is opposite of the LARGEST side lengthAngle K is the SMALLEST angle because it is opposite of the SMALLEST side lengthWe know that angle J isn't the LARGEST or SMALLEST, but is in the middle4. Write what you found in #3 in terms of inequalities
∠L > ∠J > ∠K
angle L is greater than angle J, and angle J is greater than angle Kif this response helped you, please mark it the "brainliest"!
Find the measure of the missing angle
Help plss
Answer: [tex]150^{\circ}[/tex]
Step-by-step explanation:
By the exterior angle theorem,
[tex]m\angle BQR=50^{\circ}+100^{\circ}=\boxed{150^{\circ}}[/tex]
Can y’all help me on question 29?!
Answer:
D
Step-by-step explanation:
If the necklace must cost less than $12.75, then it would be shown either $12.75 > p (being greater than p) or p < $12.75 ( meaning that P is worth less than $12.75. And with that, the cost must have a maximum of $12.75 making D the answer.
Tests of older baseballs showed that when dropped 24 ft onto a concrete surface, they bounced an average of 235.8 cm. In a test of 40 new baseballs, the bounce had a mean of 235.4 cm. Assume the standard deviation of baseball bounce heights is 4.5 cm. At α=0.05, are the new baseballs different?
A. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
B. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
C. There is sufficient evidence to support the claim that the new baseballs have bounce heights with a mean matching 235.8 cm
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
Answer:
D. There is not sufficient evidence to support the claim that the new baseballs have bounce heights with a mean different from 235.8 cm
for a sample size n = 24 and a population parameter of p = 0.4, a normal curve can be used to approximate the sampling distribution.
A. True
B. False
Answer:False
Step-by-step explanation:
PLSS I NEED THIS! Number 4
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
-50 POINTS- if you guess you’ll be reported.
If P=(4,7) Find D2 (P)
You will be reported if you guess. The result is -1 if P=(4,7)on D2 (P). Consequently, P=(4,7) in D2 reports -1. (P).
What is the value of D2 (P)?Given p= (4,7)
The answer to 4 p+7 is 4(-2)+7=-8+7=-1
The value of the denominator (d2), a weighting factor, is depends on the control chart's subgroup size, n. Based on a subgroup size of 5, the value of d2 in the case is 2.326. Following is a brief list of the d2 values for other subgroup sizes.
The table of constants below contains the d2 value, which is determined by the subgroup size. The average moving range, or MR-bar, will be used if your subgroup size is one. Model No. The average range is 0.220, and the mean is 0.8057 (X-bar). The D2 function gives the sample range of n independent, normally distributed random variables with the same mean and a standard deviation of 1 the anticipated value.
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helppppppp pleassseeeeeeeeeeeeeee
Answer:
D
Step-by-step explanation:
The absolute value means its just not negative, So If you see a number inbeteen the absolute value, just forget about the negative sign and make it positive
Ex: |-1| = 1
|-423242| = 423242
its that easy, then you just find which one is in the right order
How do I solve this system of equations using the elimination method.(I don't just want the answer, I want an explanation on how to get the answer.)
y=3x+13
2x=y-9
Answer:
y=3x+13
2x=y-9
Step-by-step explanation:
i need to know :(
Answer:
Step-by-step explanation:
Substitute 1 in 2 and solve for x.
2x=y-9
2x=3x+13-9
2x = 3x+4
-x = 4
x = -4
Then use equation 1 to solve for x.
y = 3x+13
y = -12+13
y= 1