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3 years ago

A rectangle pool has an area of 880 square feet. the length is 10 feet longer than the width. Find the dimensions of the pool

1 answer:

3 0

A=LW, and we are told that L=W+10

Using L=W+10 in A=LW you have:

A=(W+10)W

A=W^2+10W

W^2+10W=880, we are told that A=880 so

W^2+10W=880 now we can complete the square...

W^2+10W+25=905

(W+5)^2=905

W+5=±√905

W=-5±√905, since W>0

W=-5+√905 and since L=W+10

L=5+√905

W=-5+√905 ft and L=5+√905 ft

If we want an approximation:

W≈25.08 ft and L≈35.08 ft (both dimensions to the nearest hundredth)

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2 years ago

21 is 42% of what number

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2 years ago

Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler at

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Step-by-step explanation:

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2 years ago

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

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Answer:

A) 68.33%

B) (234, 298)

Step-by-step explanation:

We have that the mean is 266 days (m) and the standard deviation is 16 days (sd), so we are asked:

A. P (250 x < 282)

P ((x1 - m) / sd < x < (x2 - m) / sd)

P ((250 - 266) / 16 < x < (282 - 266) / 16)

P (- 1 < z < 1)

P (z < 1) - P (-1 < z)

If we look in the normal distribution table we have to:

P (-1 < z) = 0.1587

P (z < 1) = 0.8413

replacing

0.8413 - 0.1587 = 0.6833

The percentage of pregnancies last between 250 and 282 days is 68.33%

B. We apply the experimental formula of 68-95-99.7

For middle 95% it is:

(m - 2 * sd, m + 2 * sd)

Thus,

m - 2 * sd <x <m + 2 * sd

we replace

266 - 2 * 16 <x <266 + 2 * 16

234 <x <298

That is, the interval would be (234, 298)

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2 years ago

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2 years ago