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Elza [17]
3 years ago
6

3.We-Haul rents a moving truck for 20.00$.and 0.45$.per mile. You-Haul rents the same size moving truck for 1.00$.per mile but w

ith no upfront charge.
Part A:Write two equations to represent the situation.

Part B:What is the rate of change for each? What do they represent?

Part C: Whatdo the -intercepts of each line represent?

Part D: Use the substitution method to help the renter determine when the two truck rentals will cost the same amount.
Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

$20.45

Step-by-step explanation:

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If (-9, 2) is on the graph of Flx), which point must be on the graph of the
dmitriy555 [2]

Answer:

(2, - 9 )

Step-by-step explanation:

Since 2 is the output when - 9 is input to f(x)

Then reversing the procedure, that is the inverse gives an output of - 9 for an input of 2.

(- 9, 2) is a point on the graph of f(x), then

(2, - 9) is a point on the graph o the inverse function f^{-1}(x)

7 0
3 years ago
Abby can buy bottles of water in packages of 6 for $8.22 or in packages of 4 for $8.52. How much money does she save by buying 1
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She would save $9.12 by using the better sale! I hope this helped!:)
7 0
4 years ago
Which statement about the slope of the line is true?
givi [52]

Answer:

A

Step-by-step explanation:

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3 0
3 years ago
ASAP!<br> find the slope of a line that is perpendicular to y=-1/2x+4
aliya0001 [1]

We know that :

Ф  Product of the slopes of two lines perpendicular to each other should be equal to -1

Let the slope of the line perpendicular to given line be : M

Given equation of the line : y = -1/2x + 4

This line is in the form : y = mx + c, where m is the slope and c is the y intercept

Comparing with y = mx + c :

we can notice that slope of the given line is -1/2

⇒   M × -1/2 = -1

⇒   M × 1/2 = 1

⇒   M = 2

<u>Answer</u> : Slope of the line perpendicular to given line is 2

8 0
3 years ago
Starting in the 1970s, medical technology allowed babies with very low birth weight (VLBW, less than 1500 grams, about 3.3 pound
cluponka [151]

Answer:

The test statistic value using the VLBW babies as group 1 is z=-2.76±0.01 and the P-value for the test (±0.0001) is 0.0030.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (VLBW group), of size n1=244 has a proportion of p1=0.77049.

p_1=X_1/n_1=188/244=0.77049

The sample 2 (control group), of size n2=247 has a proportion of p2=0.79757.

p_2=X_2/n_2=197/247=0.79757

The difference between proportions is (p1-p2)=-0.02708.

p_d=p_1-p_2=0.77049-0.79757=-0.02708

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{188+197}{244+247}=\dfrac{385}{491}=0.988

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.988*0.012}{244}+\dfrac{0.988*0.012}{247}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00005}=\sqrt{0.0001}=0.0098

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.02708-0}{0.0098}=\dfrac{-0.02708}{0.0098}=-2.76

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=P(t

As the P-value (0.0030) is smaller than the significance level (0.05), the effect issignificant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of persons with normal birth weight that graduates from high school is significantly greater than the proportion of persons with very low birth weight that graduates from high school.

3 0
3 years ago
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