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3 years ago

Change these percentages to decimals. 30% 45% 60% 5% 1% 55% 80% 10%

1 answer:

4 0

.30
.45
.60
.05
.01
.55
.80
.10

Percentages are just a number out of 100, so to find the percentage you but the number over 100. An example is 30%, to find the decimal you first put it over 100. 30/100, now we divide and make it a decimal. 30/100’s decimal is .30.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

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If Croakie trains really hard, he has a new routine, 8s + 7 + s that he would like to do. If each somersault is 6 feet long, how

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Answer:

He will go 61 feet.

Step by Step Explanation:

You fill in variables for 6 them combine your like terms.

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2 years ago

A company printed 10,398 flyers for its sales people. Each sales person received the same

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2 years ago

Read 2 more answers

Solve the inequality for u. 55 > 4u + 15 Simplify your answer as much as possible.

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Step-by-step explanation:

55 > 4u + 15

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2 years ago

You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600

adoni [48]

Answer:

θ = $30^{0}$

Step-by-step explanation:

Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;

Sin θ = $\frac{opposite}{hypotenuse}$

Sin θ = $\frac{800}{1600}$

= 0.5

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Thus, the angle of elevation from the base to the top of the mountain is $30^{0}$ .

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3 years ago

Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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".

Solution to the problem

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

Part a

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)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

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3 years ago