Which ordered pair names point G? A. (4,4) B. (-4,-4) C. (4,-4) D. (-4,4)

What are the 10th and 90th percentiles of the distribution of sample proportion for the population proportion below?

levacccp [35]

Answer:

The 10th percentile is 0.0784.

The 90th percentile is 0.1616.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$\mu = 0.12, \sigma = \sqrt{\frac{0.12*0.88}{100}} = 0.0325$

10th percentile:

X when Z has a pvalue of 0.1. So X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 0.12}{0.0325}$

$X - 0.12 = -1.28*0.0325$

$X = 0.0784$

The 10th percentile is 0.0784.

90th percentile:

X when Z has a pvalue of 0.9. So X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 0.12}{0.0325}$

$X - 0.12 = 1.28*0.0325$

$X = 0.1616$

The 90th percentile is 0.1616.

4 0

3 years ago

You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu

Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

$y = 3x$

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

$x \geq 0$

Assume $x = 1$

$y = 3 * 1 = 3$

Assume x = 4

$y=3*4 = 12$

Assume x = 6

$y=3*6 = 18$

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0

3 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Margaret [11]

Answer: Complementary angles. x = 60

How I got it.

x - 30 + x = 90

then solve for x

Hope this helps!

5 0

2 years ago

To assess the precision of a laboratory scale, we measure a block known to have a mass of 1 gram. we measure the block n times a

vlada-n [284]

n = 5 The formula for the confidence interval (CI) is CI = m Â± z*d/sqrt(n) where CI = confidence interval m = mean z = z value in standard normal table for desired confidence n = number of samples Since we want a 95% confidence interval, we need to divide that in half to get 95/2 = 47.5 Looking up 0.475 in a standard normal table gives us a z value of 1.96 Since we want the margin of error to be Â± 0.0001, we want the expression Â± z*d/sqrt(n) to also be Â± 0.0001. And to simplify things, we can omit the Â± and use the formula 0.0001 = z*d/sqrt(n) Substitute the value z that we looked up, and get 0.0001 = 1.96*d/sqrt(n) Substitute the standard deviation that we were given and 0.0001 = 1.96*0.001/sqrt(n) 0.0001 = 0.00196/sqrt(n) Solve for n 0.0001*sqrt(n) = 0.00196 sqrt(n) = 19.6 n = 4.427188724 Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.

8 0

2 years ago

–6 + (–12) Evaluate the expression

Elanso [62]

Answer:

-18.

Step-by-step explanation:

They're both negative numbers being added to each other, so you'd add 6 and 12 (which is 18) and then put a negative sign before the 18. Therefore, your answer is -18.

I hope this helps, have a nice day.

3 0

2 years ago