All categories

3 years ago

Can someone help me with this math homework please!

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

(A, B, D)

Step-by-step explanation:

Let's evaluate each answer choice:

"The independent variable is the number of people"

Correct. The number of people is independent and DOESN'T depend on the total cost to change.

"The initial value (initial fee) for the pinic is $40"

Correct. In this table, every 3 people increases the cost by $6. So that means 6 people would increase the cost by $12. From the first row of 6 people and $52, if we "subtracted" 6 people and "subtracted" $12, we would get a value of 0 people with a total cost of $40.

"The rate of change is $8.67 per person"

Wrong. To find the rate of change (also called slope), use this method below:

(y_2 - y_1)/(x_2 - x_1)

(6, 52) (9, 58)

x_1 = 6

x_2 = 9

y_1 = 52

y_2 = 58

(58 - 52)/(9-6)

6/3 = 2

The rate of change is 2, not 8.67.

"As the number of people increases, the total cost of the picnic increases."

Correct. As you can see in the table, as the number of people increase (6, 9, 12, 15), the total cost increases as well (52, 58, 64, 70).

"If 4 people attended the picnic, the total cost would be $46."

Wrong. In one of the previous answer choices, we found out that the rate of change, or the cost per person at picnic, is $2, and the intial fee is $40. From this info, we can form this equation:

y = 2x + 40

And if we plug in 4 people into this equation, we DON'T end up with total cost of $46:

2(4) + 40

8 + 40 = 48

The total cost for 4 people is $48, NOT $46

Hope this helps (●'◡'●)

You might be interested in

Ford and GM pick up trucks are being tested for fuel efficiency, which is commonly measured in miles per gallon (mpg). The fuel

lina2011 [118]

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that $\mu_{F} = 20, \sigma_{F} = 3$

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that $\mu_{G} = 24, \sigma_{G} = 4$

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

$\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4$

$\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5$

This probability is the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - (-4)}{5}$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

7 0

3 years ago

The figure below shows part of a stained-glass window depicting the rising sun. Which function can be used to find the area of t

Kryger [21]

Answer:

$A(w) = w^2 + 5w - \frac{1}{8}\pi w^2$

Step-by-step explanation:

A = the area of the region outside the semicircle but inside the rectangle

w = the width of the rectangle or diameter of the semicircle

Since "A" is determined by "w", therefore, "A" is a function of "w" = A(w).

A(w) = (area of rectangle) - (area of semicircle)

$A(w) = (l*w) - (\frac{1}{2} \pi r^2)$

Where,

lenght of rectangle (l) = w + 5

width of rectangle (w) = w

r = ½*w = $\frac{w}{2}$

Plug in the values:

$A(w) = ((w + 5)*w) - (\frac{1}{2} \pi (\frac{w}{2})^2)$

Simplify

$A(w) = (w^2 + 5w) - (\frac{1}{2} \pi (\frac{w^2}{4})$

$A(w) = w^2 + 5w - \frac{1}{2}*\pi*\frac{w^2}{4}* \pi$

$A(w) = w^2 + 5w - \frac{1*\pi*w^2}{2*4}$

$A(w) = w^2 + 5w - \frac{1*\pi w^2}{8}$

$A(w) = w^2 + 5w - \frac{1}{8}\pi w^2$

3 0

3 years ago

28 ft2 at $3.89 per square foot $71.98 $111.44 $108.92 $106.40

Alinara [238K]

The answer would be $108.92. You can solve this by multiplying @* by 3.89, getting 108.92.

4 0

3 years ago

All of the following relations are functions, except A) y = x2. B) x = y2. C) y = |x|. D) y = x .

elena-s [515]

B) x = y^2 because it fails the vertical line test making it not a function

7 0

3 years ago

Read 2 more answers

Pythagoras theorems Question 7

Bas_tet [7]

Answer:

i think the answer is 16/3

4 0

3 years ago