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Morgarella [4.7K]

3 years ago

5

Write the LCD (Least Common Denominator I think) for each pair of fractions.

1 answer:

gtnhenbr [62]3 years ago

7 0

The LCD for all of the above would be 1. but other than that i got 2 , dose this help?

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

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 of the interval 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 $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

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

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

3 years ago

Read 2 more answers

An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard devia

Tems11 [23]

Answer:

The value is $\sigma_{\= x} = 1.789$

Step-by-step explanation:

From the question we are told that

The sample size is n = 20

The sample mean is $\= x = 122.5$

The standard deviation is $s = 8$

Generally the standard error of the mean is mathematically represented as

$\sigma_{\= x} = \frac{s}{\sqrt{n} }$

=> $\sigma_{\= x} = \frac{8}{\sqrt{20 } }$

=> $\sigma_{\= x} = 1.789$

8 0

3 years ago

A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does he need to run to finish the race?

Marianna [84]

Answer is 8.08 kilometers

4 0

3 years ago

Read 2 more answers

The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount?

Fantom [35]

$16.25. You do 30% of $12.50 and then add it on

4 0

3 years ago

Read 2 more answers

Variables x and y are in direct proportion, and y = 12.5 when x = 25. If x = 40, then y =

BabaBlast [244]

25/12.5 = 40/y
cross multiply
(25)(y) = (12.5)(40)
25y = 500
y = 500/25
y = 20 <====

6 0

3 years ago