Answer to 0.08x+(x-200)

Reagan surveyed a number of her classmates about what time they usually go to bed. Of the fifteen classmates she asked, nine sai

sleet_krkn [62]

9 out of Reagan's 15 classmates go to bed at 10 p.m.

As a fraction, this would be 9/15.

To convert a fraction to a decimal, you just divide the numerator by the denominator.

Thus, 9 ÷ 15 = 0.6

To turn a decimal into a percentage, you multiply the decimal by 100, and then add a percentage sign.

0.6 * 100 = 60%

Therefore, 60% of Reagan's classmates go to bed at 10 p.m.

Hope this helps!

8 0

3 years ago

PLEASE ANSWER PICTURE SHOWN

bonufazy [111]

The sum of the angles of a triangle is equal to 180°.

x+65+79 = 180

x = 180 - 65 - 79

x = 36°

5 0

3 years ago

Please answer questions 3 and 4 :))

Gnoma [55]

1.) D
2.) A................

6 0

2 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard

avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean \mu and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that $\mu = 33208, \sigma = 2503$ .

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when $X = 33208+633 = 33841$ subtracted by the pvalue of Z when $X = 33208 - 633 = 32575$

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

$s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57$

So

X = 33841

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

$Z = \frac{33841 - 33208}{357.57}$

$Z = 1.77$

$Z = 1.77$ has a pvalue of 0.9616

X = 32575

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

$Z = \frac{32575- 33208}{357.57}$

$Z = -1.77$

$Z = -1.77$ has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0

3 years ago

A tumor in a rat responds to a new radiation treatment by shrinking 5% with each treatment. How many treatments before the tumor

Nuetrik [128]

A quarter of its original size would be 25% of 100%, right? Therefore, the tumor would have to shrink 75%. If each treatment, the tumor shrinks 5% that would mean it takes 15 treatments to shrink 75 percent.

If this helped, please thank, rate, and give brainliest answer!

8 0

3 years ago