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Lilit [14]
2 years ago
14

A rectangular swimming pool has a volume of 1750 ft.³ water is being added to the pool at a rate of about 20 ft.³ per minute. us

e an equation in point slope form to determine about how long will it take to fill the pool completely if there were already 1125 gallons of water in the pool use the fact that one cubic foot of space holds about 7.5 gallons of water round the answer to the nearest integer if necessary
Mathematics
1 answer:
Korolek [52]2 years ago
3 0

Answer:

You have a rectangular pool 15 X 30 X 5 feet

The floor of the pool is 15X30 = 450 ft2

Two sides are 5X15 = 2(75) = 150 ft2

Two sides are 5X30 = 2(150) = 300 ft2

Total area to be painted: 900 ft2

(900 ft2)/(250 ft2/gal) = 3.6 gallons

Since we can't purchase .6 gallons we

must purchase 4 gallons of paint

The volume of the pool is 15X30X5 = 2250 ft3

1 ft3 = 7.48 gallons

2250(7.48) = 16,830 gallons of water

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fredd [130]

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

<u><em>Step(i):</em></u>-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

       0.02 = \frac{1.96 X S.D}{\sqrt{1600} }

      0.02 X √1600 = 1.96 X S.D

       S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

5 0
3 years ago
Given that pentagon, ABCDE pentagon FGHIJ find the measure of &lt;1
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Answer:

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Step-by-step explanation:


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A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.
umka21 [38]

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3 0
2 years ago
2.5 m<br> 9 m<br> 1<br> 24 m<br> Work out the perimeter.
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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Please help me I have been stuck on this question for ages
Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is P(g)=\frac{4}{9}

and P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}

Thus \frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}

\frac{g}{g+r}=\frac{4}{9}

\Rightarrow 9g=4g+4r

\Rightarrow 5g=4r\quad \ldots(i)

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}

\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}

\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}

\Rightarrow 10g+10r+60=23g+46

\Rightarrow 10r+14=13g\ quad \ldots(ii)

Substitute the value of g in equation (ii)[/tex]

\Rightarrow 10\times \frac{5}{4}g+14=13g

\Rightarrow \frac{25}{2}g+14=13g

\Rightarrow g=28

Therefore r=35

Thus there 28 green counter and 35 red counter

6 0
3 years ago
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