Answer:
(x^2+3)(3x-4)
Step-by-step explanation:
To answer this question we can employ a technique called factor by grouping. This strategy has us factor out values from the first two numbers and last two numbers to simplify the expression.
3x^3-4x^2+9x-12
x^2(3x-4)+3(3x-4)
(x^2+3)(3x-4)
Therefore, the answer is the second option.
Select "Growth" or "Decay" to classify each function.
y=200(0.5)2t = DECAY
y=12(2.5)t6 = GROWTH
y=(0.65)t4 = DECAY
just took the test
y=200(0.5)2t this functiοn represents decay, y=12(2.5)t6 this functiοn represents grοwth and y=(0.65)t4 this functiοn represents decay.
What is functiοn?In mathematics, a functiοn is a relatiοnship between twο sets οf elements, called the dοmain and the range, such that each element in the dοmain is assοciated with a unique element in the range.
In general, we can determine whether a functiοn represents grοwth οr decay by examining the base οf the expοnential term.
If the base is greater than 1, the functiοn represents grοwth.
If the base is between 0 and 1, the functiοn represents decay.
Here are the classificatiοns fοr each οf the given functiοns:
y=200(0.5)2t
The base οf the expοnential term is 0.5, which is between 0 and 1. Therefοre, this functiοn represents decay.
y=12(2.5)t6
The base οf the expοnential term is 2.5, which is greater than 1. Therefοre, this functiοn represents grοwth.
y=(0.65)t4
The base οf the expοnential term is 0.65, which is between 0 and 1. Therefοre, this functiοn represents decay.
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Complete Question:
Select "Growth" or "Decay" to classify each function.
Function Which ones are growth or decay
f(x)=(1.05)t4
y=100(0.4)t
f(x)=14(10)t12
Match each sum or difference with the correct simplified expression.
(x-5)-(x + 1)
(x-5)+ (x + 1)
(x-5)+ (x-1)
(x-5)-(x-1)
Intro
-4
2x-6
-6
2x-4
Answer:
Step-by-step explanation:
[tex](x-5)-(x + 1)=x-5-x-1=-6[/tex]
[tex](x-5)+ (x + 1)=x-5+x+1=2x-4[/tex]
[tex](x-5)+ (x-1)=x-5+x-1=2x-6[/tex]
[tex](x-5)-(x-1)=x-5-x+1=-4[/tex]
If you divide a positive number that is larger than 36 by a positive number that is less than 9, what can you definitely say about the relative value of the quotient?
It must be equal to 5
It must be greater than 4
It must be between 9 and 36
It must be less than 4
Answer:
It must be greater than 4
Step-by-step explanation:
We know that 36 ÷ 9 = 4.
Therefore, if the denominator is less than 9 and the numerator is greater than 36, the quotient would only increase since the numerator increases while the denominator decreases.
Therefore, it must be greater than 4.
To the nearest whole number, what is the mean of the
number of stamps for these four friends?
F. 92
G. 124
H. 203
J. 217
K. 234
To find the mean of the number of stamps for these four friends, we need to add up the total number of stamps and divide by 4 (the number of friends).
Samir has 60 stamps. Lisa has 2 1/2 times as many stamps as Samir, which can be calculated as follows: 2 1/2 * 60 = 150
Kwame has 443 stamps.
Jake has 159 fewer stamps than Kwame, which can be calculated as follows: 443 - 159 = 284 To find the total number of stamps, we add up the number of stamps each friend has: 60 + 150 + 443 + 284 = 937
To find the mean, we divide by 4: 937 / 4 = 234.25
Therefore, to the nearest whole number, the mean of the number of stamps for these four friends is 234.
Therefore, the answer is K. 234.
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ASAAPP ONE QUESTION ONLY
Answer:
mWX = 106°-------------------------------
Angles at vertex V and Y are of same measure since they intercept same arc WX:
6x - 7 = 10x - 4710x - 6x = 47 - 74x = 40x = 10Angle measure of V and Y is:
6*10 - 7 = 60 - 7 = 53°Arc measure of WX is double the inscribed angle:
mWX = 2*53° = 106°What was the age distribution of prehistoric Native Americans? Suppose an extensive anthropological studies in the southwestern United States gave the following information about a prehistoric extended family group of 84 members on what is now a Native American reservation.
Age range (years) 1-10 11-20 21-30 31 and over
Number of individuals 35 22 20 7
For this community, estimate the mean age expressed in years, the sample variance, and the sample standard deviation. For the class 31 and over, use 35.5 as the class midpoint. (Round your answers to one decimal place.)
x =
years
s2 =
s =
years
Mean age: 16.1 years, Sample variance: 50.47 square years and Sample standard deviation: 7.10 years for the given problem.
To estimate the mean age, we need to find the midpoint of each age range and multiply it by the number of individuals in that range. Then we add up these products and divide by the total number of individuals:
Mean age = [(1+10)/2 x 35 + (11+20)/2 x 22 + (21+30)/2 x 20 + 35.5 x 7] / 84
= (5.5 x 35 + 15.5 x 22 + 25.5 x 20 + 35.5 x 7) / 84
= 16.1
Therefore, the estimated mean age of this extended family group is 16.1 years.
To calculate the sample variance, we need to find the deviation of each age from the mean, square each deviation, and add up these squared deviations. Then we divide this sum by the total number of individuals minus one:
s2 = [(1-16.1)2 x 35 + (11-16.1)2 x 22 + (21-16.1)2 x 20 + (35.5-16.1)2 x 7] / (84-1)
= (2254.05 + 537.08 + 220.89 + 253.68) / 83
= 50.47
Therefore, the estimated sample variance is 50.47 square years.
We simply take the square root of the sample variance to calculate the sample standard deviation:
s = [tex]\sqrt{s2}[/tex]
= s[tex]\sqrt{50.47}[/tex]
= 7.10
Therefore, the estimated sample standard deviation is 7.10 years.
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Solve using the substitution method
2x -y = 7 and -6x + 3y = 21
There is no solution to the given system of equations. Therefore, the system is inconsistent.
How to solve the equation using substitution method?
To solve this system of equations using the substitution method, we need to solve one of the equations for one of the variables, and then substitute that expression into the other equation. Let's solve the first equation for y:
2x - y = 7
-y = -2x + 7
y = 2x - 7
Now we substitute this expression for y into the second equation:
-6x + 3y = 21
-6x + 3(2x - 7) = 21
-6x + 6x - 21 = 21
-21 = 21
This is a contradiction, and there is no solution to the system of equations. Therefore, the system is inconsistent.
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4) Two Truths and a Lie. Use what you know about the patterns in area models to determine which two area models correctly represent a factorable polynomial in the form of ax^2 + bx + c where c = 40. The middle “b” term is unknown
The correct area models are 4e and none of the given models for 4d and 4c.
What is the quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The area model of 4c is incorrect because the last term of the polynomial, which is 40, is represented by the bottom right box of the area model. However, in the given area model, the box representing 40 is in the upper row.
The area model of 4e is correct because it represents the polynomial as the product of two binomials, where the factors are (x-5) and (x-8).
When multiplied using the distributive property, the resulting polynomial is x² - 13x + 40, which matches the given polynomial form.
The area model of 4d is incorrect because it does not properly represent a factorable polynomial.
It only includes three boxes, representing the three terms of the polynomial, but it does not show how the terms can be factored into binomials.
Therefore, the correct area models are 4e and none of the given models for 4d and 4c.
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I NEED THIS ANSWER TO THIS QUESTION
You should invest $139.07 each month to end up with $17,000 in 8 years, assuming a guaranteed APR of 4.5%.
What is annual interest rate?The annual interest rate (also known as the annual percentage rate or APR) is the amount of interest that is charged on a loan or investment over the course of one year.
According to question:To calculate the monthly deposit needed to reach the target amount of $17,000 in 8 years at a guaranteed APR of 4.5%, we can use the formula for future value of an annuity:
FV = P * ([tex](1 + r/n)^(n*t)[/tex] - 1) / (r/n)
where FV is the future value, P is the monthly payment, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we want to find the monthly payment (P), and we know that:
FV = $17,000
r = 4.5% = 0.045 (decimal)
n = 12 (since we are making monthly deposits)
t = 8
When these values are added to the formula, we obtain:
$17,000 = P * ([tex](1 + 0.045/12)^(12*8)[/tex] - 1) / (0.045/12)
Simplifying and solving for P, we get:
P = $139.07
Therefore, you should invest $139.07 each month to end up with $17,000 in 8 years, assuming a guaranteed APR of 4.5%.
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Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
the product of 6 less than a number and 2 more than the number
The complete verbal phrase translates to
(Do not perform the calculation.)
The expression represents the product of two terms = (x - 6) × (x + 2)
What do you mean by Linear Equation ?An equation in mathematics that is linear has a variable whose maximum power is 1. Alternatively said, it is an algebraic equation of the following form:
ax+ b = 0
where an is a constant that cannot equal zero, b is a constant, and x is a variable. Another way to express a linear equation in its general form is as follows:
y = mx + b
where the y variable is the dependent variable, the independent variable is x, the slope is m, and the y-intercept is b.
The product of 6 less than a number and 2 more than the number can be translated into the mathematical expression:
(x - 6) × (x + 2)
Here, x represents the unknown number, and the expression represents the product of two terms: "6 less than a number" (x - 6) and "2 more than the number" (x + 2).
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2. You check 50 cartons of eggs. Eight of the cartons have at least one
cracked egg. What is the experimental probability that a carton of ega
has no cracked eggs?
Answer: 3/20 and 15%
Step-by-step explanation:
Find the two -intercepts of the function and
show that at some point between the two -intercepts.
The x intercept of the function f(x) = x√(x + 4) is at
(-4, 0) and (0, 0)
What is x-intercept?The x-intercept is the point where a graph or a line crosses the x-axis. In other words, it is the point where the value of the dependent variable (usually represented on the y-axis) is zero.
In an equation, the x-intercept is the value of x when y is equal to zero. It is often denoted by the point (x, 0) on a graph.
The plotted graph shows that the x intercept is at
(-4, 0) and (0, 0)
Graph is attached
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pls help lol it’s due tomorrow
An artist built a wooden sculpture in the shape shown below.
Rectangular prism with length as 9 feet, breadth as 7 feet and height as 8 feet is given. A rectangular prism with length as 7 feet, breadth as 7 feet and height as 4 feet is cut from the right top end of the bigger prism.
Part A
Which expressions could be used to find the volume of the sculpture?
Select all that apply.
A. (7 × 8 × 2) + (7 × 7 × 4)
B. (8 × 2 × 7) + (9 × 4 × 7)
C. (2 × 4 × 7) + (7 × 4 × 7)
D. (9 × 4 × 7) + (2 × 7 × 4)
PartB
What is the volume of the sculpture?
Enter your answer in the box.
cubic feet
the expressions that could be used to find the volume of the sculpture are A and B and the volume of the sculpture is 364 cubic feet.
Part A:
To find the volume of the sculpture, we need to add the volumes of the two rectangular prisms: the original one and the one that was cut from it. We can express the volume of the original prism as:
9 × 7 × 8
And the volume of the cut prism can be expressed as:
7 × 7 × 4
So, the expressions that could be used to find the volume of the sculpture are A and B:
A. (7 × 8 × 2) + (7 × 7 × 4)
B. (8 × 2 × 7) + (9 × 4 × 7)
Part B:
Using expression A, we get:
(7 × 8 × 2) + (7 × 7 × 4) = 112 + 196 = 308 cubic feet
Using expression B, we get:
(8 × 2 × 7) + (9 × 4 × 7) = 112 + 252 = 364 cubic feet
Therefore, the volume of the sculpture is 364 cubic feet.
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Use substitution to determine whether the given number is a zero of the given
polynomial.
3; f(x) = -x^4 -8x²-x-5
also
As f(3) is not equal to zero, 3 is not a zero of the polynomial f(x) = -x⁴ -8x²-x-5.
How to determine whether a given number is a zero of the a polynomial?Given the polynomial in the question;
f(x) = -x⁴ -8x²-x-5
Given number: 3
To check if 3 is a zero of the polynomial f(x) = -x⁴ -8x²-x-5, we need to substitute x = 3 into the polynomial and see if the result will give zero.
f(x) = -x⁴ -8x²-x-5
plug i x = 3
f(3) = -3⁴ - 8(3)² - 3 - 5
= -81 - 72 - 3 - 5
= -161
Therefore, 3 is not a zero of the polynomial f(x) = -x⁴ -8x²-x-5.
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By what number must row 2 in the matrix be multiplied for the matrix to be change to ___
The number that must row 2 in the matrix be multiplied for the matrix to be changed to B. -2.
What are row operations?
Row operations are mathematical operations that can be performed on the rows of a matrix to manipulate its properties or solve systems of linear equations.
To solve this problem, we need to perform row operations on the matrix until row 2 is transformed into the desired row. Each row operation involves multiplying a row by a scalar, adding or subtracting one row from another, or swapping two rows.
Starting with the given matrix:
20 -2
1 1 1 1 1 6 -14
We can perform the following row operations:
Subtract row 1 from row 2:
20 -2
1 1 1 -19 -19 4 -6
Multiply row 2 by -3:
20 -2
-3 -3 -3 57 57 -12 18
Subtract 2 times row 2 from row 1:
26 4
-3 -3 -3 57 57 -12 18
Divide row 1 by 13:
2 4/13
-3 -3 -3 57 57 -12 18
Therefore, we see that row 2 in the matrix must be multiplied by -3 to transform it into the desired row.
So the answer is: B. -2
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1. Solve the following system of equations graphically. Make sure to check the solution.
y = 1/2x - 3
y = 3/4x + 2
Answer:
Step-by-step explanation:
How many different committees can be formed from 12 teachers and 43 students if the committee consists of 2 teachers and 2 students
Answer: 59598
Step-by-step explanation:
It would be 12C2 for the teachers
and 43C2 for the students
12C2=66
43C2=903
66*903=59598
HELP PLS THIS IS DUE TOMORROW PLSSSSSSSS
Are ARST and ANSP similar? Use pencil and paper. Find the
measure of the angles in each triangle.
Which two angles must be congruent? What type of angles are they? (1 point)
The measure of the angles in triangle ARST are: 28 degrees, 28 degrees, 124 degrees, 124 degrees. The measure of the angles in triangle ANSP are: 28 degrees, 51 degrees, 101 degrees, 129 degrees.
What is angle?An angle is a geοmetric figure fοrmed by twο rays οr lines with a cοmmοn endpοint, called the vertex. Angles are typically measured in degrees οr radians and are used tο describe the amοunt οf turn οr rοtatiοn between twο intersecting lines οr οbjects. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), οbtuse (greater than 90 degrees), straight (exactly 180 degrees), οr reflex (greater than 180 degrees).
Here,
To find the measure of the angles in each triangle, we need to solve for the value of x in both equations.
For the first equation, we can simplify it as follows:
x + 14 = 2x
Subtracting x from both sides, we get:
14 = x
For the second equation, we can simplify it as follows:
3x + 9 = 2x + 23
Subtracting 2x and 9 from both sides, we get:
x = 14
Now that we know x = 14, we can find the measure of the angles in each triangle.
In triangle ARST, we have:
angle A = x + 14
= 14 + 14
= 28 degrees
angle R = 2x
= 2(14)
= 28 degrees
angle S = 180 - (angle A + angle R)
= 180 - (28 + 28)
= 124 degrees
angle T = 180 - (angle A + angle R)
= 180 - (28 + 28)
= 124 degrees
In triangle ANSP, we have:
angle A = x + 14
= 14 + 14
= 28 degrees
angle N = 3x + 9
= 3(14) + 9
= 51 degrees
angle S = 180 - (angle A + angle N)
= 180 - (28 + 51)
= 101 degrees
angle P = 180 - (angle N)
= 180 - 51 = 129 degrees
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cadens savings account had $70 in its first year. each year since the , his account accumulated interest amounting to 10% of the valance in the previous year.
let f(n) be cadens account balance at the nth year of the saving
f is a sequence what kind of sequence is it
The supplied question's response based on the savings account is A geometric sequence is the sequence f.
What is Geometric sequence?A geometric sequence is a set of numbers where each term is obtained by multiplying the one before it by a predetermined quantity known as the common ratio. The following is the generic formula for a geometric sequence:
[tex]a, ar, ar^2,ar^3,ar^4,...[/tex]
There are two types of geometric sequences: finite and endless. While an infinite geometric sequence has no end, a finite geometric sequence has a set number of terms.
Because each term is created by multiplying the term that came before by a constant ratio of 1.1, the sequence f is a geometric sequence. (which accounts for the interest that has accrued on the preceding balance using the formula 1 + 0.1).
The first term is for $70, and each succeeding term is equal to the first term times 1.1. As a result, the nth term of the series can be
written as: [tex]f(n)=\$ \times 1.1^{n-1}[/tex]
where n is how long it has been since the first year of saving.
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How do you solve this?
Answer:
[tex]100\pi \text{ in}^3[/tex]
Step-by-step explanation:
Volume of a Cone Equation:
[tex]v = \frac{1}{3}\times \pi \times r^2 \times h[/tex]
1) Find h
Use the Pythagorean Theorem to find h
[tex]a^2 \times b^2 = c^2[/tex]
Change diameter to radius. (10 in ---> 5in)
a = 5
[tex]1) 5^2 + b^2 = 13^2\\\\2) 25 + b^2 = 169\\\\3) b^2 =144\\\\4) 12[/tex]
Step 2) Subtract 25 on both sides so [tex]b^2[/tex] is alone
Step 3) Square root both sides
Step 4) h = 12
2) Plug in known variables:
h = 12 in
r = 5 in;
Equation now:
[tex]v = \frac{1}{3} \times \pi \times 5^2 \times 12[/tex]
3) Solve:
[tex]1) \frac{1}{3} \times \pi \times 5^2 \times 12\\\\2) \frac{\pi}{3} \times 5^2 \times 12\\\\3) \frac{\pi}{3} \times 25 \times 12 \\\\4) \frac{\pi}{3} \times 300\\\\5) \frac{300\pi}{3} \\\\\text{Simplify:}\\100\pi[/tex]
Please help with this
The probability that a passenger is traveling for business is 67.1%.
The probability of a passenger bringing a laptop on a flight if the passenger is traveling for business is 0.352 or approximately 35.2%.
How to calculate the probabilityThe probability that a passenger is traveling for business can be calculated by adding the number of passengers traveling for business and dividing by the total number of passengers:
P(traveling for business) = (274 + 397) / 1000 = 0.671
Therefore, the probability that a passenger is traveling for business is 0.671 or approximately 67.1%.
b. The probability of a passenger bringing a laptop on a flight if the passenger is traveling for business can be calculated as follows:
P(laptop | traveling for business) = number of passengers with a laptop and traveling for business / number of passengers traveling for business
P(laptop | traveling for business) = 236 / 671 = 0.352
Therefore, the probability of a passenger bringing a laptop on a flight if the passenger is traveling for business is 0.352 or approximately 35.2%.
c. It should be noted that to determine if there is an association between bringing a laptop on a flight and traveling for business, we can compare the proportion of passengers who bring a laptop when traveling for business versus when not traveling for business. If the proportions are different, it suggests an association.
P(laptop | traveling for business) = 0.352
P(laptop | not traveling for business) = 0.093
The proportions are different, which suggests an association between bringing a laptop on a flight and traveling for business.
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Pls help, Micheal tracked the value of his boat each year after he purchased it. Determine whether the data are linear, quadratic, or exponential. Use regression to the function that models the data.
This means that after two years since the purchase, the boat was worth $24.57.
What is worth?In general, worth refers to the value or monetary equivalent of something. It can be used to describe the financial value of assets such as property, stocks, or commodities, or to describe the value of something in terms of its usefulness, importance, or significance.
Michael tracked the value of his boat each year after he purchased it. Determine whether the data are linear, quadratic, or exponential. Use regression to find the function that models the data.
16.75
19.5
4
3
22.9
27.25
2
1
32
0
Years Since Purchase
To better understand the exponential function that models the data, let's break it down:
y = 10.92 * 1.50ˣ
The constant "10.92" represents the initial value of the boat when it was purchased. This means that the boat was worth $10.92 when Michael first bought it.
The constant "1.50" represents the growth factor of the boat's value. This means that each year, the value of the boat increases by a factor of 1.50.
The variable "x" represents the number of years since the boat was purchased. The function takes this input and returns the value of the boat at that time.
For example, if we plug in x=1 into the function, we get:
y = 10.92 * 1.50¹
y = 16.38
This means that after one year since the purchase, the boat was worth $16.38. Similarly, if we plug in x=2 into the function, we get:
y = 10.92 * 1.50²
y = 24.57
This means that after two years since the purchase, the boat was worth $24.57.
It's important to note that the exponential function assumes that the growth rate remains constant over time. In reality, the value of the boat may be affected by other factors such as wear and tear, maintenance, and market fluctuations. Nevertheless, the exponential function provides a useful model for understanding the trend in the data and making predictions about the future value of the boat.
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PLEASE I REALLY NEED HELP PLEASE
A car was valued at $45,000 in the year 1991. The value depreciated to $12,000 by the year 2000.
A) What was the annual rate of change between 1991 and 2000?
r=-------------Round the rate of decrease to 4 decimal places.
B) What is the correct answer to part A written in percentage form?
r=------------%
C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2003 ?
value = $----------------Round to the nearest 50 dollars.
A) The annual rate of change or APR between 1991 and 2000 is approximately -0.1091.
B) The correct answer to part A in percentage form is approximately -10.91%.
C) The value of the car in 2003 is $7,750.
What is annual rate?
The car depreciated from $45,000 to $12,000 in 9 years. Using the formula for annual rate of change or annual percentage rate (APR):
r = [tex](Vf/Vi)^{1/n}[/tex] - 1
where Vf is the final value, Vi is the initial value, n is the number of years, and r is the annual rate of change or APR.
Substituting the given values:
r = [tex]($12,000/$45,000)^{1/9}[/tex] - 1
r ≈ -0.1091
Therefore, the annual rate of change or APR between 1991 and 2000 is approximately -0.1091.
B) The correct answer to part A in percentage form is approximately -10.91%.
What is APR?
To express the answer as a percentage, multiply the annual rate of change by 100 and round to the nearest 0.01%:
r = -0.1091 × 100
r ≈ -10.91%
Therefore, the correct answer to part A in percentage form is approximately -10.91%.
C) The value of the car in 2003 is $7,750.
What is the value?
To find the value of the car in 2003, we need to use the same percentage rate of decrease from 2000 to 2003. Since 2003 is 3 years after 2000, the value will be:
value = $12,000 × (1 + r)³
value ≈ $7,729.18
Rounding to the nearest 50 dollars, the value of the car in 2003 is $7,750.
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Estimate the cost of painting a concrete patio if it is a 12 foot by 14 foot rectangle, and a quart of paint that covers 53 square feet costs $10.99
Answer:
$43.96
Step-by-step explanation:
We first need to find the area of the patio which is 12-foot by 14-foot
12 ft * 14 ft = 168 sq ft
next, we need to know how many quarts are needed to cover the entire area of the patio, and we know a quart cover 53 square feet, so we divide the total area of the patio by 53:
168 sq ft ÷ 53 sq ft/quart ≈ 3.17 quarts
We'll need to buy 4 quarts of paint to cover the entire patio.
The cost of 1 quart of paint is $10.99, so the total cost of 4 quarts will be:
4 quarts x $10.99/quart = $43.96
Therefore, the estimated cost of painting the concrete patio will be around $43.96.
what function is equivalent to the following:
the cofunction of sin
Trigonometric ratios connect angles and sides of right triangle. The cofunction of sinθ = cosecθ.
What is trigonometric ratios?Trigonometric ratios are mathematical proportions that connect the angles and sides of a right triangle. The hypotenuse, adjacent, and opposing sides are the three sides of a right triangle, which is a triangle having one angle of 90 degrees.
For example, imagine a triangle made up of wires of length L.
The same wire can be used to create a square if all sides are the same length.
The length covered by the perimeter of the shape is called the perimeter. Therefore, the units of circumference are the same as the units of length.
As we can say, the surroundings are one-dimensinal. As a result, you can measure in meters, kilometers, millimeters, etc.
Inches, feet, yards, and miles are other globally recognized units of circumference measurement.
Hence, The function equivalent to sinθ = cosecθ.
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how many degrees is a obtuce angel
A, B & C form the vertices of a triangle.
∠
CAB = 90°,
∠
ABC = 59° and AC = 9.3.
Calculate the length of AB rounded to 3 SF.
The average retail price of gasoline (all types) for the first half of 2005 was 212.2 cents. What would the standard deviation have to be in order for a 11% probability that a gallon of gas costs less than $1.80? Round z-value calculations to two decimal places and final answer to the nearest cent.
According to the line plot, what is the total weight of the dog toys that weighed
1
8
of a pound or
3
8
of a pound?
3
4
of a pound
1
1
2
pounds
3 pounds
7
8
of a pound
The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound is 1 3/8 pounds.
What is line plot?A line plot is a graphical representation of data that involves placing X's or other symbols above a number line to show the frequency of each value in a data set.
Each X represents one occurrence of the data value on the number line. Line plots are useful for quickly visualizing the distribution of a data set, especially when there are only a few unique values in the data set.
Based on the line plot, we can see that there are 2 dog toys that weigh 1/8 of a pound and 3 dog toys that weigh 3/8 of a pound.
To find the total weight of the dog toys that weigh 1/8 of a pound or 3/8 of a pound, we need to add the weights of these toys.
The total weight of the dog toys that weigh 1/8 of a pound is 2/8 of a pound, which simplifies to 1/4 of a pound.
The total weight of the dog toys that weigh 3/8 of a pound is 3 x 3/8 = 9/8 of a pound.
Adding these weights together, we get:
1/4 + 9/8 = 11/8 of a pound
This simplifies to 1 3/8 pounds.
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