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Semenov [28]
3 years ago
13

EASY 20 points! Please Solve this Algebra 1 question.

Mathematics
2 answers:
Andrei [34K]3 years ago
5 0
Let W = width of the pool

area of back yard = (3W +5)^2

 area of pool = W(W+10)

 area around pool = (3W+5)^2 - W(W+10)

enyata [817]3 years ago
4 0

length of pool, L = 10 + W
width of pool, W

pool area = W(10+W)

backyard is square shaped.. sides are equal
backyard side length, S = 5 + 3W

Area backyard = (5+3W)(5+3W)
subtract pool area

Area surrounding pool
= (5+3W)(5+3W) - W(10+W)
simplify the expression, foil
= 25 + 30W + 9W^2 - 10W - W^2
combine like terms
A = 8W^2 + 20W + 25
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3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0
3 years ago
Can someone please help me?
Maurinko [17]
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3 years ago
Pls answer as soon as possible what is 5.3 rounded?
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Answer:

5

Step-by-step explanation:

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3 years ago
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Which expression is equivalent
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the answer is 1/27. C :))

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