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Gnom [1K]
3 years ago
7

Simplify the expression.

Mathematics
1 answer:
Doss [256]3 years ago
5 0
Distribute 6 thru the parenthesis=

198 pie plus 6 pie

Factor out the perfect square=
Pie 3 to the second power times 22 plus 7 pie 6

Calculate the square root =

3 pie 22 plus 7 pie 6

Which equals to 31.2177

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What's the difference quotient: <br> F(x)=x^3
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\dfrac{F(x+h)-F(x)}h=\dfrac{(x+h)^3-x^3}h=\dfrac{x^3+3x^2h+3xh^2+h^3-x^3}h=3x^2+3xh
5 0
3 years ago
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

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}.

The margin of error is of:

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

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

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

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

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3 years ago
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The answer is A7 or A14 because the are the same
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% of 50 shirts is 35 shirts
Nitella [24]

the answer is 70% your welcome

4 0
3 years ago
10. Identify the pronoun in this sentence.
brilliants [131]

Answer:

The answer is we. Pronouns are I, you, he/she/it, we, you, they.

4 0
3 years ago
Read 2 more answers
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