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3 years ago

Which is equivalent to 5(a + 6)? 1. a+30 2. 5a-30 3. 5a+6 4. 5a+30

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer: the answer is number four.

Step-by-step explanation:

<h2>because when you take five multiply by A (5*a) you will get 5a and when you take five multiply by six (5*6) you will get 30 and there is positive sign so the plus (+) stays the same and your will be (5a+30) that is your answer. good luck.</h2>

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At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence level

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

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

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

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

2 years ago

If your test increased by 14 points, what percent did you increase if there were 50 questions in total? show work

solmaris [256]

Increase = 14
Total =50
Percentage increase = 14/50 x 100 = 28%

8 0

3 years ago

∠1 and ∠2 are vertical angles. If m 1=3x-12 and m2=72°, find the value of x

inessss [21]

Answer:

x=28

Step-by-step explanation:

vertical angles are congruent

3x-12=72

3x=84

x=28

6 0

2 years ago

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prisoha [69]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the sum to n terms of the series 0.6+0.66+0.666+.....................

RSB [31]

<span>We have
</span> $0.6+0.66+0.666+0.6666$

Let's take 6 out from the series
$6(0.1+0.11+0.111+0.1111+....$

<span>Now multiply and divide by 9
</span> $\frac{6}{9}(0.9+0.99+0.999+0.9999+....$

$\frac{6}{9}(1-0.1+1-0.01+1-0.001+1-0.0001+....
\\
\\\frac{6}{9}(1-10^{-1}+1-10^{-2}+1-10^{-3}+...$

<span>all 1s add up to n
</span> $\frac{6}{9}(n-\frac{1}{10}\times \frac{1-(\frac{1}{10})^{n+1}}{1-\frac{1}{10}})$

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3 years ago