A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 6 granola bars and each large box has 24 granola bars. The camp bought 4 times as many small boxes as large boxes, which altogether had 96 granola bars. Graphically solve a system of equations in order to determine the number of small boxes purchased, x,x, and the number of large boxes purchased, yy.

Answers

Answer 1

Answer:

Let's define the variables:

x = number of small boxes bought.

y = number of large boxes bought.

Then the total number of granola bars is:

x*6 + y*24

We also know that "The camp bought 4 times as many small boxes as large boxes"

Then:

x = 4*y

and "...which altogether had 96 granola bars."

The total number of granola bars is 96, then:

x*6 + y*24 = 96

Then the system of equations is:

x = 4*y

x*6 + y*24 = 96

We want to solve this graphically.

Then we first need to isolate the same variable in both equations.

We can see that in the first one x is already isolated, so let's isolate x in the second equation:

x*6 = 96 - y*24

x = (96 - y*24)/6

x = 16 - y*4

Now we have the equations:

x = 4*y

x = 16 - y*4

To solve this graphically we need to graph both fo these lines and see in which point the lines do intersect.

The point where the lines intersect is the solution of the system.

The graph can be seen below.

We can see that the lines do intersect at the point (2, 8)

This means that the camp bought 2 large boxes and 8 small boxes.

A Summer Camp Is Organizing A Hike And Needs To Buy Granola Bars For The Campers. The Granola Bars Come

Related Questions

I am the number that is 5,000 greater than the smallest number u can make using six of the digits what number am I?——————————————
Only can use 1 8 3 4 9 6 2 7 I think..

Answers

12,351,789

ignore this ------

12346789

+      5000

----------------

12351789

HELPPPP

Diane draws an obtuse, isosceles triangle with two of the angles measuring 25° each.
What is the measure of the obtuse angle in her triangle?

Answers

Answer:

130⁰. unsure. angle sum, 25+25+x =180, so x=180-25-25

Creating a discrete probability distribution: A venture capitalist, willing to invest $1,000,000, has three investments to choose from.

The first investment, a social media company, has a 20% chance of returning $7,000,000 profit, a 30% chance of returning no profit, and a 50% chance of losing the million dollars.

The second company, an advertising firm has a 10% chance of returning $3,000,000 profit, a 60% chance of returning a $2,000,000 profit, and a 30% chance of losing the million dollars.

The third company, a chemical company has a 40% chance of returning $3,000,000 profit, a 50% chance of no profit, and a 10% chance of losing the million dollars.

a. Construct a Probability Distribution for each investment. This should be 3 separate tables (See the instructors video for how this is done) In your table the X column is the net amount of profit/loss for the venture capitalist and the P(X) column uses the decimal form of the likelihoods given above.

b. Find the expected value for each investment.

c. Which investment has the highest expected return?

d. Which is the safest investment and why?

e. Which is the riskiest investment and why?

Answers

a)  the venture capitalist has three investment options: a social media company, an advertising firm, and a chemical company.

b) The advertising firm has the highest expected return, making it the most profitable choice.

c) The investment with the highest expected return is Investment 2 (the advertising firm) with an expected value of $1,200,000.

d) The safest investment is Investment 3 (the chemical company) because it has the highest probability (50%) of not incurring any loss (no profit, but no loss either).

e) The riskiest investment is Investment 1 (the social media company) because it has a 50% chance of losing the entire $1,000,000 investment, which is the highest probability of loss among the three investments.

a. Probability Distribution for each investment:

Investment 1 (Social Media Company):

X (Profit/Loss) P(X)

$7,000,000 0.20

$0 0.30

-$1,000,000 0.50

Investment 2 (Advertising Firm):

X (Profit/Loss) P(X)

$3,000,000 0.10

$2,000,000 0.60

-$1,000,000 0.30

Investment 3 (Chemical Company):

X (Profit/Loss) P(X)

$3,000,000 0.40

$0 0.50

-$1,000,000 0.10

b. Expected value for each investment:

Expected value (Investment 1):

E(X) = ($7,000,000 × 0.20) + ($0 × 0.30) + (-$1,000,000 × 0.50)

= $1,400,000 + $0 - $500,000

= $900,000

Expected value (Investment 2):

E(X) = ($3,000,000 × 0.10) + ($2,000,000 × 0.60) + (-$1,000,000 × 0.30)

= $300,000 + $1,200,000 - $300,000

= $1,200,000

Expected value (Investment 3):

E(X) = ($3,000,000 × 0.40) + ($0 × 0.50) + (-$1,000,000 × 0.10)

= $1,200,000 + $0 - $100,000

= $1,100,000

c. Investment with the highest expected return:

The investment with the highest expected return is Investment 2 (the advertising firm) with an expected value of $1,200,000.

d. Safest investment:

The safest investment is Investment 3 (the chemical company) because it has the highest probability (50%) of not incurring any loss (no profit, but no loss either).

e. Riskiest investment:

The riskiest investment is Investment 1 (the social media company) because it has a 50% chance of losing the entire $1,000,000 investment, which is the highest probability of loss among the three investments.

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I don’t understand this

Answers

Answer:

It is plugging it the 36pye

Step-by-step explanation:

h = 36pye

what it wants you to do is plug that into all the numbers

so it be

2 x 36pye (you get it for the next one)

for the fraction ones it would

be divding 36pye by the number on the bottom

An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be?

Answers

Answer:

7 minutes

Step-by-step explanation:

From the question :

Descent = ascent

Initial height * descent rate = initial position * ascent rate

Plane on ground is at an initial position or height of 0

42000 - 3300t = 0 + 2700t

Where, t = time

-3300t - 2700t = 0 - 42000

-6000t = - 42000

t = 42000 / 6000

t = 7 minutes

can you help me solve this?

6 ÷ 2(1+2) = ?

Answers

Answer:

9

Step-by-step explanation:

it just is

Tea costs £1.40 and coffee
costs 65p how much will 5
coffees and 2 teas cost?​

Answers

Answer:

£6.05

Step-by-step explanation:

Multiply the number of coffees by the cost of coffee:

5 × 65p

325p

Multiply the number of teas by the cost of tea:

2 × £1.40

£2.80

Add the two answers together:

325p + £2.80

Convert p to £

£3.25 + £2.80

£6.05

I WILL GIVE U BRAINLYEST!! PLSS HELP!

The graph below represents the number of siblings each student in a class has.

what was the mean number of siblings?

Answers

The mean number of students in the class is 2.4 siblings.

What is the mean number of students?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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Determine the area between the curve y = x² + 3x - 28 and the x-axis, from x = -8 to x=0.

Answers

The area between the curve y = x² + 3x - 28 and the x-axis, from x = -8 to x=0 is 64/3 square units.

We want to calculate the integral of the absolute value of the function over the given interval:

Area = ∫[from -8 to 0] |x² + 3x - 28| dx

Since the curve lies below the x-axis between x = -7 and x = 4, we need to split the integral into two parts and change the sign of the function for the interval [-7, 4]

Area = ∫[from -8 to -7] -(x² + 3x - 28) dx + ∫[from -7 to 4] (x² + 3x - 28) dx + ∫[from 4 to 0] -(x² + 3x - 28) dx

We can now integrate each part separately:

Area = -∫[from -8 to -7] (x² + 3x - 28) dx + ∫[from -7 to 4] (x² + 3x - 28) dx - ∫[from 4 to 0] (x² + 3x - 28) dx

Simplifying, we get:

Area = [-1/3 x³ - 3/2 x² + 28x] [from -8 to -7] + [1/3 x³ + 3/2 x² - 28x] [from -7 to 4] - [-1/3 x³ - 3/2 x² + 28x] [from 4 to 0]

Area = [(-1/3(-7)³ - 3/2(-7)² + 28(-7)) - (-1/3(-8)³ - 3/2(-8)² + 28(-8))] + [(1/3(4)³ + 3/2(4)² - 28(4)) - (1/3(-7)³ - 3/2(-7)² + 28(-7))] - [(-1/3(0)³ - 3/2(0)² + 28(0)) - (-1/3(4)³ - 3/2(4)² + 28(4))]

Area = [(343/3 + 147 - 196) - (-512/3 + 96 - 224)] + [(64/3 + 24 - 112) - (-343/3 + 147 - 196)] - [0 - (-64/3 + 24 - 112)]

Area = [(343/3 + 147 - 196) - (-512/3 + 96 - 224)] + [(64/3 + 24 - 112) - (-343/3 + 147 - 196)] - (-64/3 + 24 - 112)

Area = (64/3)

Therefore, the area between the curve y = x² + 3x - 28 and the x-axis from x = -8 to x = 0 is 64/3 square units.

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The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
effect of this change on the perimeter?

Answers

Answer:

The option that describe the effect of the change is;

The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

Answer:

The perimeter is multiplied by 5/4.

Step-by-step explanation:

If n = 240 and p (p-hat) = 0.55, construct a 90% confidence interval. Give your answers to three decimals кр

Answers

The formula for calculating confidence interval is: $\overline{X} \pm Z_{\alpha/2}\frac{σ}{\sqrt{n}}$,

where $\overline{X}$ is the sample mean,

$σ$ is the population standard deviation,

$n$ is the sample size, and $Z_{\alpha/2}$ is the critical value of the standard normal distribution at $\alpha/2$ and $(1-\alpha/2)$ levels of significance respectively. To construct the 90% confidence interval for the given data: n = 240p-hat = 0.55The sample mean is equal to p-hat which is 0.55. Therefore, the margin of error is given by;

ME = Z_{α/2} × √{p-hat(1 - p-hat) / n}α = 0.10, thus α/2 = 0.05, so the area to the right of the critical value is equal to 0.05.

Using the standard normal distribution table, the critical value for α/2 = 0.05 is: Z_{α/2} = 1.64

Therefore, the confidence interval is given by; CI = p-hat ± Z_{α/2} × √{p-hat(1 - p-hat) / n}CI = 0.55 ± 1.64 × √{0.55(1 - 0.55) / 240}CI = 0.55 ± 0.077

Therefore, the confidence interval is (0.473, 0.627) (rounded to three decimal places).

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HELP ME PLEASE! its very hard and i need it for tonight!!

Answers

Answer:

288 cm

Step-by-step explanation:

The formula to solve this polygon is: area = 1/2 x perimeter x apothem

To find the perimeter all you have to is find the sum of all sides together: 12+12+6+6+6+6= 48

Then the Apothem is, the "segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side." To find this you find the point from the middle to the edge which is 12cm.

Then you plug in this information into the polygon. 1/2 x 48 x 12= 288!

The polygon is 288 cm!

Hope this helps! :) Please let me know if it does, and mark as brainliest!

determine the normal and shear stresses at point d that act perpendicular and parallel, respectively, to the grains. the grains at this point make an angle of 35 ∘ with the horizontal as shown.

Answers

To determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively, we require additional information such as the applied forces or loadings at that point.

The given question mentions the need to determine the normal and shear stresses at point D, which act perpendicular and parallel to the grains, respectively. However, to accurately calculate these stresses, we need more information about the system under consideration. Key details include the applied forces or loadings on the system, the material properties, and the specific orientation and arrangement of the grains at point D.

Normal stress, also known as axial stress, refers to the force per unit area acting perpendicular to the surface. Shear stress, on the other hand, represents the force per unit area acting parallel to the surface. The magnitudes and directions of these stresses depend on the applied forces, the geometry of the system, and the material properties.

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3 7 of the total computer files were infected by a virus. A engineer later managed to restore 2 15 of the infected files. What fraction of the total files were restored?

Answers

Answer:

2/35

Step-by-step explanation:

[tex]\frac{3}{7}[/tex] × [tex]\frac{2}{15}[/tex]

[tex]\frac{1}{7}[/tex] x [tex]\frac{2}{5}[/tex]

= 2/35

Please help me if you want brianleist! :(

Answers

Answer:

2ft

Step-by-step explanation:

16^3 ft

4 * 2=8

16/8 =2

Answer:

2 ft

Step-by-step explanation:

V = lwh

16 = 4(2)w

16 = 8w

w = 2 ft

Roxie plans on purchasing a new desktop computer for $1250. Which loan description would result in the smallest amount of interest she would have to pay?

12 months at 6.25% annual simple interest rate

18 months at 6.75% annual simple interest rate

24 months at 6.5% annual simple interest rate


30 months at 6.00% annual simple interest rate

Answers

Answer:

12 months at 6.25%

Step-by-step explanation:

You deposit $1250 into a bank account paying 6.25% simple interest per month. You left the money in for 12 months. Find the interest earned and the amount at the end of those 12 months?

Result:

The interest is $937.5 and the amount is $2187.5.

Explanation:

STEP 1: Convert interest rate of 6.25% per month into rate per year.

STEP 2: Convert 12 months into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $1250, i = 75% and t = 1 years, so

STEP 4: Find an amount by using the formula .

Since P = $1250 and I = $937.5 we have

Can someone help me with this question. Need answer and explanation/work. Thank you. Will make brainliest.

Answers

Answer:

y = - 3 x - 5

Step-by-step explanation:

find the negative reciprocal of the slope of the original line use the point slope formula y - y 1 = m ( x - x 1 ) to find the line perpendicular to 3 y = x + 6

hope this helps

Which expression has a solution of 6, if r = 4?

1. r + 2
2. 4 - r
3. 10 + r
4. r - 10

Answers

Answer:

1.

Step-by-step explanation:

1. 4 + 2 = 6

2. 4 - 4 = 0

3. 10 + 4 = 14

4. 4 - 10 = -6

number 1 is the right answer

Answer:

1.

Step-by-step explanation:

The null hypothesis is that the laptop produced by HP can run on an average 120 minutes without recharge and the standard deviation is 25 minutes. In a sample of 50 laptops, the sample mean is 125 minutes. Test this hypothesis with the alternative hypothesis that average time is not equal to 120 minutes. What is the p-value?

Answers

The p-value for testing the hypothesis that the average runtime of HP laptops is not equal to 120 minutes, based on a sample mean of 125 minutes from a sample of 50 laptops, cannot be determined without additional information.

To calculate the p-value, we need the population standard deviation or the t-value associated with the sample mean and the degrees of freedom. The p-value represents the probability of observing a sample mean as extreme or more extreme than the observed sample mean, assuming the null hypothesis is true.

However, since the population standard deviation is not provided in the question, we cannot directly calculate the p-value. Similarly, the degrees of freedom for the t-distribution depend on the sample size and are not given.

To determine the p-value, we would need either the population standard deviation or the t-value associated with the sample mean and the degrees of freedom. With this information, we could look up the p-value from the t-distribution table or use statistical software to obtain the p-value.

Therefore, without the necessary information, the p-value for the hypothesis test cannot be determined.

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Solve this please!!!!!

Answers

328 hope this helps

Pls mark brainliest!

For a random sample of 60 overweight men, the mean of the number of pounds that they were overweight was 32. The standard deviation of the population is 3.9 pounds.The best point estimate of the mean is pounds.

Answers

The most accurate estimate of the population mean is 32 pounds, based on the sample data.

The best point estimate of the mean can be obtained by using the sample mean as an estimate for the population mean.

Given that the sample mean of the number of pounds that the 60 overweight men were overweight is 32, the best point estimate of the mean is also 32 pounds.

Therefore, the best point estimate of the mean is 32 pounds.

Mean: The term "mean" refers to a measure of central tendency. It is often referred to as the average of a set of numbers. The mean is calculated by adding up all the values in the set and dividing the sum by the total number of values.

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Solve the following differential equation:

dV/dθ= V cotθ + V^3cosecθ

Answers

Comparing this with the left-hand side expression -V cosec^2θ - 3V^2cosec^2θcotθ, we can see that both sides are equal.

To prove the given equation, we will differentiate both sides with respect to θ and simplify the expression.

Differentiating V cotθ + V^3cosecθ with respect to θ:

d/dθ(V cotθ + V^3cosecθ) = d/dθ(V cotθ) + d/dθ(V^3cosecθ)

Applying the differentiation rules:

= V (-cosec^2θ) + 3V^2cosecθ(-cosecθcotθ)

= -V cosec^2θ - 3V^2cosec^2θcotθ

Now, we need to express the right-hand side of the original equation in terms of dV/dθ:

V cotθ + V^3cosecθ = V(cotθ + V^2cosecθ)

                      = V(cotθ + cotθV^2)

                      = Vcotθ(1 + V^2)

Taking the derivative of the right-hand side with respect to θ:

d/dθ(Vcotθ(1 + V^2)) = V(−cosec^2θ)(1 + V^2) + Vcotθ(0)

                           = -Vcosec^2θ(1 + V^2)

Comparing this with the left-hand side expression -V cosec^2θ - 3V^2cosec^2θcotθ, we can see that both sides are equal. Therefore, we have proved that dV/dθ = V cotθ + V^3cosecθ.

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SAT Scores the national average for mathematics on a standardized test in 2011 was 518. Suppose that the distribution of scores was approximately bell- shaped and that the standard deviation was approximately 48. Round your answers to at least one decimal place as needed.

Answers

The national average for mathematics on a standardized test in 2011 was 518, with a standard deviation of approximately 48.

In statistics, the bell-shaped distribution is known as the normal distribution or the Gaussian distribution. It is characterized by its symmetry and the majority of the data falling within a certain range.

The national average score of 518 represents the central tendency of the distribution. This means that a large number of students scored around this average score.

The standard deviation of approximately 48 measures the variability or spread of the scores. It indicates how much the scores deviate from the average. In a normal distribution, about 68% of the data falls within one standard deviation of the mean.

By knowing the average score and the standard deviation, we can determine the proportion of students who scored above or below a certain score, as well as calculate percentiles and compare individual scores to the national average.

Understanding the characteristics of the distribution, such as the average and standard deviation, helps in interpreting and analyzing the scores, making meaningful comparisons, and identifying students' performance relative to the national average.

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During basketball practice, you make 8 free throws out of 20 shots taken. Using
experimental probability, how many free throws would you score out of 50
shots taken?

Answers

Answer:

if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws

Step-by-step explanation:

Using your calculator, construct a normal probability plot for the octane data from problem 1, and make a sketch of that plot below. From the plot you sketched, does it seem reasonable to assume that octane rating is normally distributed?

Answers

Based on the normal probability plot constructed for the octane data, it does not appear reasonable to assume that the octane rating is normally distributed. The plot deviates significantly from a straight line, indicating a departure from normality.

A normal probability plot is a graphical tool used to assess whether a dataset follows a normal distribution. In a normal plot, the observed data points are plotted against the corresponding quantiles of a theoretical normal distribution. If the data points fall approximately along a straight line, it suggests that the data can be reasonably modeled as normally distributed.

In this case, when constructing the normal probability plot for the octane data, if the plot deviates significantly from a straight line, it indicates a departure from normality. If the points on the plot show a distinct curvature or exhibit systematic patterns, it suggests that the data does not follow a normal distribution.

By examining the sketch of the normal probability plot for the octane data, if it shows substantial deviations from a straight line, with points deviating from the expected pattern, it implies that the octane rating is not normally distributed. This departure from normality could be due to various factors, such as skewness, outliers, or a different underlying distribution that better fits the data. Therefore, based on the sketch of the plot, it is reasonable to conclude that the octane rating is not normally distributed.

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Ricky wants a carrier so that he can take his pet to the veterinarian. He chooses one in the shape of a right rectangular prism that is 4 feet deep, 3 feet tall, and 2 feet wide. What is the surface area of the carrier?
A. 26ft^2
B. 36ft^2
C. 40ft^2
D.52ft^2

Answers

Answer:

its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

great job mate

Use convolution notation with * and set up the integral to write the final answer of the following initial value ODE. There is no need to evaluate the integral. x" - 8x' + 12x = f(t)

Answers

The equation in integral form by taking the inverse Laplace transform: x(t) = L^-1((s^2 - 9s + 20)X(s)) + L^-1(F(s) + sx(0) + x'(0) - 8x(0)), where L^-1 represents the inverse Laplace transform.

To express the given initial value ordinary differential equation (ODE) using convolution notation with *, we can rewrite it as:

(x'' - 8x' + 12x) = f(t)

Taking the Laplace transform of both sides, we have:

s^2X(s) - sx(0) - x'(0) - 8(sX(s) - x(0)) + 12X(s) = F(s)

where X(s) is the Laplace transform of x(t), x'(0) is the initial condition of the derivative of x(t), x(0) is the initial condition of x(t), and F(s) is the Laplace transform of f(t).

Simplifying the equation, we get:

(s^2 - 8s + 12)X(s) - sx(0) - x'(0) + 8x(0) = F(s)

Now, let's express the left-hand side of the equation using convolution notation. Using the property that the Laplace transform of the derivative of a function f(t) is sF(s) - f(0), we can rewrite the equation as:

((s^2 - 8s + 12) - s + 8)X(s) = F(s) + sx(0) + x'(0) - 8x(0)

Simplifying further, we have:

(s^2 - 9s + 20)X(s) = F(s) + sx(0) + x'(0) - 8x(0)

Finally, we can express the equation in integral form by taking the inverse Laplace transform:

x(t) = L^-1((s^2 - 9s + 20)X(s)) + L^-1(F(s) + sx(0) + x'(0) - 8x(0))

where L^-1 represents the inverse Laplace transform.

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PLEASE HELP!!!!!! I WILL MARK!!!

Answers

the answer to this is 36.7

Given that a is in Quadrant 2 and cos(a) = give an exact answer for the following: a sin(20) b. cos(2a) c. tan(20) = 2. Given that B is in Quadrant 4 and sin(B) = give an exact answer for the following: a sin(25) = b.cos(2B) c. tan(28) . Decimal approximations are not allowed for this problem, • Enter your answer in exact form. • Use "sqrt()" to represent.

Answers

a) In Quadrant 2, a sin(20) is equal to -sin(20).

b) In Quadrant 2, cos(2a) is equal to -cos(2a).

c) In Quadrant 2, tan(20) is equal to -tan(20).

In Quadrant 2, the angle 'a' is between 90 degrees and 180 degrees, or π/2 and π radians. Knowing that cos(a) is a negative value, we can determine the exact values for the given trigonometric expressions.

a) a sin(20) = -sin(20):

The sine function (sin) is positive in Quadrant 1 and negative in Quadrant 2. Therefore, the value of a sin(20) in Quadrant 2 is equal to the negative of sin(20). This means that the answer for a sin(20) is -sin(20).

b) cos(2a) = -cos(2a):

The cosine function (cos) is negative in Quadrant 2. Since we are given that a is in Quadrant 2, the angle 2a will also be in Quadrant 2. Therefore, cos(2a) in Quadrant 2 is equal to the negative of cos(2a). Thus, the answer for cos(2a) is -cos(2a).

c) tan(20) = -tan(20):

The tangent function (tan) is negative in Quadrant 2. Hence, the tangent of any angle in Quadrant 2 will be equal to the negative of its positive counterpart. Consequently, the answer for tan(20) in Quadrant 2 is -tan(20).

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Fill in the blank using a term found in the vocabulary list. The ratio of the value of a subtotal to the value of the total is called _________________.

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Answer:

Relative frequency

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