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3 years ago

Which of the following correctly uses absolute value to show the distance between -60 and 11? (5 points)

1 answer:

8 0

The correct answer for this question is this one: "<span>|-60 - 11| = |-71| = 71 units"

The statement says that "the </span><span>absolute value that show the distance between -60 and 11"

Absolute value is the distance of that specific number from zero in a straight number line. The selected answer is the correct one.</span>

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My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago

Subtract. 7 4/10−1 2/10 Write your answer in simplest terms.

Stolb23 [73]

The answer is 6 1/5.

7 0

2 years ago

Read 2 more answers

A scaled factor of 2 is used to increase the triangle. What is the new area?

lesya [120]

Answer:b

Step-by-step explanation:b

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3 years ago

How do you transpose a number

Mrac [35]

Answer:

Transposing a number is a type of error where two digits swap position in the sequence. An example would be to enter 13 instead of the desired 31. It could also be the error of dropping a needed zero as in writing 15 instead of the desired 150.

Step-by-step explanation:

Unless by "number" you mean musical score. Then transposing is rewriting the score in a new key.

7 0

2 years ago

It costs a general admission fee of $6 to get into the fair and then $1 for each ride. Which of the following equations would re

joja [24]

Answer:

6+1x=y

Step-by-step explanation:

-just add 6 because you will only pay it once to enter the fair

-place x for the number of rides the person gets on and 1 next to it to multiply

- place Y at the end because we don't know how much the person spent

5 0

3 years ago