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Elena-2011 [213]
2 years ago
9

Including the bus driver, there are 15 people on a bus. During the bus ride, each person produces 750 BTUs (British Thermal Unit

s). The interior of the bus measures 38 feet by 8.5 feet by 6.25 feet. How many BTUs per cubic foot are produced?
Mathematics
1 answer:
Alecsey [184]2 years ago
5 0
This is the concept of applications of volume. We are required to calculate BTUs per cubic foot. This will be given by the formula:
(BTU)/volume
Total BTU=15*750=11,250
(assuming the bus is a perfect cuboid) volume of the bus will be;
volume=length*width*height
=38*8.5*6.25
=2018.75 ft^2
Thus the BTUs per foot will be:
11250/2018.75
5.57 BTUs/ft
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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 ki
Lena [83]
Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

 by the pythagorean theorem:

MS= \sqrt{ 7^{2} + 11^{2} }= \sqrt{49+121}= \sqrt{170}=  13 (km)


Answer: 13 km

3 0
1 year ago
Read 2 more answers
Which equation represents a line that passes through (–2, 4) and has a slope of 2/5? y – 4 = 2/5 (x 2) y 4 = 2/5 (x – 2) y 2 = 1
Natali5045456 [20]
Equation of a line is given by y - y1 = m(x - x1); where m is the slope.
y - 4 = 2/5 (x - (-2))
y - 4 = 2/5 (x + 2)
7 0
2 years ago
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There were 200 members at a skating club. After some new members went in, there were 256 members altogether at the skating club.
mojhsa [17]
If I think I’m understanding it, the new members out of the 200 original would be adding 28% to the mix
4 0
1 year ago
Find the standard deviation of the following data. Answers are rounded to the nearest tenth. 5, 5, 6, 12, 13, 26, 37, 49, 51, 56
kogti [31]

Answer:

24.2(to the nearest tenth)

Step-by-step explanation:

The question is ungrouped data type

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

           = \frac{5+5+6+12+13+26+37+49+51+56+56+84}{12}

          =33.3

x-μ   for data 5, 5, 6, 12, 13, 26, 37, 49, 51, 56, 56, 84 will be

                   -28.3, -28.3, -27.3, -21.3, -7.3, 3.7, 15.7,17.7, 22.7,22.7,50.7

(x-μ)² will be 800.89, 800.89,745.29,453.69,53.29,13.69,246.49,313.29,515.29,515.29,2570.49

∑ (x-μ)² will be = 7028.59

standard deviation = √(7028.59 / 12)

                      =24.2

     

6 0
2 years ago
N 2004, the General Social Survey (which uses a method similar to simple random sampling) asked, "Do you consider yourself athle
zmey [24]

<u>Answer-</u>

The standard error of the confidence interval is 0.63%

<u>Solution-</u>

Given,

n = 2373 (sample size)

x = 255 (number of people who bought)

The mean of the sample M will be,

M=\frac{x}{n} =\frac{255}{2373} =0.1075

Then the standard error SE will be,

SE=\sqrt{\frac{M\times (1-M)}{n}}

SE=\sqrt{\frac{0.1075\times (1-0.1075)}{2373}}=\sqrt{\frac{0.0959}{2373}}=0.0063=0.63\%

Therefore, the standard error of the confidence interval is 0.63%




6 0
2 years ago
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