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Goshia [24]
3 years ago
7

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long, and 1 7/8 feet wide. John has a storage room that is 8 feet wid

e, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. a. What is the maximum number of boxes that he may stack on top of one another? b. How much room will there be left between the top of the stack of boxes and the ceiling?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0
A) (12 ft)/(2 3/8 ft) = 5 1/19

The maximum height of a stack of boxes is 5 boxes.


b) (1/19)*(2 3/8 ft) = 1/8 ft is the room left at the top of the stack.
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Answer:

Follows are the solution to this question:

Step-by-step explanation:

95 \% \ the confidence level for z:

\alpha = 1 - 95 \% \\\\

   = 1 - 0.95 \\\\        = 0.05

\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \  \frac{\alpha}{2} = Z_{0.025} = 1.96

Calculating the Margin of error:

E =   Z\  \frac{\alpha}{2}  \times ( \frac{\sigma}{\sqrt{n}})

   = 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980

The population means estimate a 95 % confidence interval is:

\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980

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Need help for 16) and 19) Solve each equation and check. Show all work please
Paladinen [302]

Step-by-step explanation:

You said the other one would be the last haha just kidding I'm glad to help.

16. \frac{k}{2}=(-5)^2

First, get rid of that parenthesis.

\frac{k}{2}=25

Now multiply both sides by 2 so that you can isolate k

2(\frac{k}{2})=25*2

k=50

19. \frac{r}{3}=\frac{121}{11}

This is a pretty easy one. If you didn't know, 121/11 is actually 11 :)

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Answer: 15x+12

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Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo
Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

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The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

        df = 12

The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

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The test statistics  is evaluated as

      t =  \frac{r }{SE}

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The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

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3 years ago
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