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kipiarov [429]
3 years ago
9

PLZZZZZ HELP ME! The volume of a suitcase is 4,331.25 inches. The length of the suitcase is 22.5 inches inches and the width is

19.25 inches. What is the height? Show your work.
Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer: 10 inches.

Step-by-step explanation:

v=l*w*h

Let’s plug in your numbers:

4,331.25=22.5*19.25*h

Let’s simplify it.

4,331.25=433.125*h

Then divide both sides by 433.125 (.125=1/8 by the way).

10=h

The height is 10 inches.

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Given a sample of 35, what is the sample standard deviation of a pair of jeans if the 90% confidence interval is [37.14, 42.86]
DENIUS [597]

Answer:

<h2>10.295</h2>

Step-by-step explanation:

Using the value for calculating the confidence interval as given;

CI = xbar + Z*σ/√n

xbar  is the mean = 37.14+42.86/2

xbar= 80/2

xbar = 40

Z is the z-score at the 90% confidence = 1.645

σ is the standard deviation

n is the sample size = 35

Given the confidence interval CI as [37.14, 42.86]

Using  the maximum value of the confidence interval to get the value of the standard deviation, we will have;

42.86 =  xbar + Z*σ/√n

42.86 = 40 + 1.645* σ/√35

42.86-40 = 1.645*σ/√35

2.86 = 1.645*σ/√35

2.86/1.645 = σ/√35

1.739 = σ/√35

1.739 = σ/5.92

σ= 1.739*5.92

σ = 10.295

Hence, the sample standard deviation of a pair of jeans is 10.295

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