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tresset_1 [31]
3 years ago
8

What is a^{-5} simplified?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0
1/a^5 there is the answer
BARSIC [14]3 years ago
5 0

Answer:

1/a^5

Step-by-step explanation:

a^-5=1/a^5

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A researcher would like to estimate the proportion of all children that have been diagnosed with Autism Spectrum Disorder (ASD)
aliina [53]

Answer:

The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

M = z\sqrt{\frac{\pi(1-\pi)}{n}} is the margin of error.

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

We have that:

M = 0.02, \pi = 0.0147

So

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

0.02 = 1.96\sqrt{\frac{0.0147*(1-0.0147)}{n}}

0.02\sqrt{n} = 0.2359

\sqrt{n} = 11.79

n = 139.1

The researcher should use a sample size of at least 140 children to get a margin of error to be within 2%.

4 0
4 years ago
Read 2 more answers
A 2-column table with 5 rows. Column 1 is labeled Robin's Scores with entries 99, 108, 102, 107, 119. Column 2 is labeled Distan
IRISSAK [1]

Answer:

X= 5

Y=0

Z=12

Step-by-step explanation:

Subtract each number from 107

Jus did it as well

5 0
3 years ago
Read 2 more answers
Schuyler spent $208 on a sewing machine to make purses. They spend a total of $10 on thread, fabric, and accessories for each pu
Molodets [167]

Answer:

The answer is 8 purses

Step-by-step explanation:

If we multiply 36 by 8, we get $288. If we multiplied 36 by 8 we must also multiply 10 by 8 because it cost 10 dollars on one purse. So y=10(8)+208, y=288

4 0
3 years ago
Read 2 more answers
What is the quotient of the rational expression below?
ss7ja [257]

Answer:

first answer

Step-by-step explanation:

Hello, you know that

\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\cdot \dfrac{d}{c}

So, the quotient we need to estimate is

\begin{aligned}\dfrac{x^2-36}{x+8}\cdot\dfrac{4x+32}{x^2+12x+36}&=\dfrac{x^2-6^2}{x+8}\cdot \dfrac{4(x+8)}{(x+6)^2}\\\\&=\dfrac{4(x-6)(x+6)}{(x+6)^2}\\\\&=\dfrac{4(x-6)}{x+6}\end{aligned}

Thank you

6 0
3 years ago
Mrs. Wilson wants to buy a portable TV for her kitchen. She has space on her counter for a TV that is 18 inches high by 15 inche
ira [324]
Leg^2+leg^2= hypotenuse^2
18^2+15^2=x^2
324+225=x^2
549=x^2
Find the square root of 549
Your answer is approximately 23.43 inches.
7 0
3 years ago
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