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Kay [80]
3 years ago
12

The human body generates about 400 BTUs of body heat per hour while active. If an office that is 18 ft × 38 ft × 12 ft has 12 wo

rkers, how many BTUs per cubic foot do they produce in 5 hours? (to the nearest tenth)
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0
You would put # of people x BTUs x # of hours over cubic feet
12 x 400 x 5 / 18 x 38 x 12
the answer is 2.9 BTUs/ft^3
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Please help! I don't understand how to solve this problem
Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

M = z\frac{\sigma}{\sqrt{n}}

0.006 = 1.96\frac{1.1547}{\sqrt{n}}

0.006\sqrt{n} = 1.96 \times 1.1547

\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}

(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2

n =  142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
1 year ago
Madison buys supplies so she can make and sell wind chimes. She begins
Studentka2010 [4]
<h3>Explanation:</h3>

In the graph x-coordinate represents the number of wind chimes sold and y-coordinate represents the profit Madison earned. If a point is below the x-axis, means it has negative y-coordinate than it represents loss. Points above x-axis should have x-coordinate more than 6 as stated in the question that she started earning profit after selling her first 6 wind chimes. All the points having x-coordinate less than 6 should lie on or below the x-axis.

By the above statement point B is completely wrong. Point C and Point A are also wrong as they both x-coordinate more than 6 but still they are below x-axis.

Point D is the makes most sense here as it has x-coordinate more than 6 and it is above x-axis. This means that when Madison sold 7 wind chimes she was in a profit of $3.75.

5 0
3 years ago
Read 2 more answers
What is a symmetry? In math terms
Dmitriy789 [7]

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

7 0
3 years ago
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you
kondaur [170]
7 is the most

Hope this helped :)
7 0
3 years ago
Don’t understand please help asap
IceJOKER [234]

First you have to solve both inequalities,

3x-1>8

3x>9

x>3

and the other one

2x≤4

x≤2

then you graph each one on the number line

the graph says or, so the solution can satisfy either equation

the solution would be all real numbers except three

the way to write it is x≠3

3 0
3 years ago
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