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lozanna [386]
3 years ago
12

Your friend’s swimming pool is in the shape of a rectangular prism , with a length of 25 feet , and a width of 8 feet, and the h

eight of 5 feet . A.) what is the volume of your friends swimming pool? B.)your swimming pool is in the shape of a cylinder with a diameter of 16 feet and had the same volume of your friend’s pool. What is the height of your pool ? Round your answer to your nearest whole number C.) while you were on vacation, 6 inches of water evaporated from your pool . About how many gallons of water evaporated from your pool? (1 ft x3 = 7.5 gallons)
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

a. 1,000

b. 4.976 rounded its 5

c. 1.25 gallons

Step-by-step explanation:

a. V = B x W x H

25 x 8 x 5 = 1,000

b. V = H x \pi x radius squared      

diameter = 16    radius = 1/2 the diameter       lets say \pi = 3.14

16/2=8     8 x 8 = 64     3.14 x 64 = 200.96

I forgot what its called but basically you do the equation backwards.    1,000 divided by 200.96 = 4.976  

check your work:   4.976 x 200.96 = 999.9 which rounded is 1,000

4.976 rounded is 5

c. assuming the equation is 1ft times 3 = 7.5 gallons

then 7.5 gallons divided by 3 = 1ft     7.5 / 3 = 2.5     2.5 = 1ft

1ft = 12inches  12in/2=6in  that means  2.5/2 = 6in   or   1.25 gallons = 6in

assuming the equation is 1ft x3 = 7.5gallons  and that x is the variable

I don't quite understand what to do and need more conext

I hope this helps at least a small bit

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Answer:

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2 years ago
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
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Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

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Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

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We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

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Degrees of freedom, df = n - 1 = 7 - 1 = 6

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Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

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3 years ago
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Answer:

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Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

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