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svetlana [45]
3 years ago
11

A bowling alley usually rents out between 22 and 25 pairs of bowling shoes during each of the 9 hours they are open. Which of th

e following is the best estimate of the number of pairs of bowling shoes the bowling alley would rent out in 3 days?
A.702
B. 648
C.540
D. 567
Mathematics
1 answer:
Dmitry [639]3 years ago
4 0

Answer:

B

Step-by-step explanation:

22+25=47

47/2=23.5 Average shoes rented per hour

23.5*9=211.5 shoes rented per 9 hours

211.5*3=634.5 Shoes rented per 9 hours for 3 days

634 closest answer is B

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A small business owner estimates his mean daily profit as $970 with a standard deviation of $129. His shop is open 102 days a ye
Katena32 [7]

Answer:

The probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we select appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sum of values of <em>X</em>, i.e ∑<em>X</em>, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{x}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

 \sigma_{x}=\sqrt{n}\sigma

The information provided is:

<em>μ</em> = $970

<em>σ</em> = $129

<em>n</em> = 102

Since the sample size is quite large, i.e. <em>n</em> = 102 > 30, the Central Limit Theorem can be used to approximate the distribution of the shopkeeper's annual profit.

Then,

\sum X\sim N(\mu_{x}=98940,\ \sigma_{x}=1302.84)

Compute the probability that the shopkeeper's annual profit will not exceed $100,000 as follows:

P (\sum X \leq  100,000) =P(\frac{\sum X-\mu_{x}}{\sigma_{x}}

                              =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the shopkeeper's annual profit will not exceed $100,000 is 0.2090.

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2 years ago
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Ierofanga [76]

Answer:

see explanation

Step-by-step explanation:

Under a translation < 5, - 9 >

5 is added to the original x- coordinate and 9 is subtracted from the original y- coordinate, that is

A(1, 4 ) → A'(1 + 5, 4 - 9 ) → A'(6, - 5 )

B(2, - 2 ) → B'(2 + 5, - 2 - 9 ) → B'(7, - 11 )

C(- 3, 2 ) → C'(- 3 + 5, 2 - 9 ) → C'(2, - 7 )

7 0
3 years ago
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