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3 years ago

How much does a customer at David's

Mathematics

1 answer:

alina1380 [7]3 years ago

4 0

Answer:

The solution as an ordered pair is (3,21)

Step-by-step explanation:

The complete question is

At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.

How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?

Write your answer as an ordered pair (h,C)

we know that

The linear equation in slope intercept form is equal to

$C=mh+b$

where

C is the total cost to rent a skateboard

h is the number of hours

m is the slope or unit rate

b is the initial value (the C-intercept)

In this problem we have

The slope is equal to

$m=\$3\ per\ hour$

The C-intercept or initial value is

$b=\$12$

substitute

$C=3h+12$

For h=3 hours

substitute in the linear equation

$C=3(3)+12=\$21$

therefore

The solution as an ordered pair is (3,21)

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ExtremeBDS [4]

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size$

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

$z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62$

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Find out more on z score at: brainly.com/question/25638875

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2 years ago

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zalisa [80]

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2 years ago

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3 years ago

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AnnZ [28]

Answer:

C. $\frac{5}{4}$

D. $\frac{6}{7}$

Step-by-step explanation:

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Step-by-step explanation:

.............................

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