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3 years ago

Please help me:////.

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

The absolute value of a number is its distance from 0. An easy way to think about this is that the absolute value turns a negative number positive, and has no effect on positive numbers. In this case, we are taking the absolute value of a negative number. This means we should simply make the number positive. Therefore, the answer is $\frac{1}{3}$

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Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle

diamong [38]

The answer would be 6 weeks.

First, you do 44 divided by 4 to get 11 kg per week. Now you divide 66 by 11 to get 6 weeks.

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2 years ago

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

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2 years ago

What is the height of an equilateral triangle with side lengths of 15? round to tenths?

Vinil7 [7]

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iogann1982 [59]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Identify the initial amount a and the growth factor b in the exponential function.

alina1380 [7]

Given the equation A (x) = 30 x 8.3 ^x, we can get the initial amount of A when x is equal to zero. Therefore:

A (0) = 30 * 8.3^0

A (0) = 30

In this case the equation grows by 8.3 times as x increases. Therefore the growth factor is 8.3.

Answers:

initial amount = 30

growth factor = 8.3

The answers are not in the given choices. I believe you are giving the wrong equation. If the correct equation here is:

A (x) = 680 x 4.3 ^x

Then the answers are:

initial amount = 680

growth factor = 4.3

The answers are now in the choices given.

7 0

3 years ago