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4 years ago

Suppose a, b, and c are all negative numbers. How do you find the distance between the points (a,b) and (a,c)?

Mathematics

1 answer:

Illusion [34]4 years ago

6 0

Add the (a,b) and then add (a,c). Find out the number between these two after being added

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An icicle is in the shape of an inverted cone with a diameter of 11 mm and a height of 90 mm. How much frozen water is in the ic

postnew [5]

C - 2,849.6

Just took the test and got it right

8 0

3 years ago

90% of runners who started a marathon completed it. Of those, 30% are men. If 270 men completed the marathon, then how many tota

il63 [147K]

Given- 90% of runner completed the marathon.

out of which 30% are man.

To proof - let the total number of runner be y.

the men completed the marathon be 30% of the 90%.

thus we have

30% of 90% of y = 270

$\frac{30}{100}$ × $\frac{90}{100}$ ×y = 270

now solving the above equation

we get

$\\y=\frac{270\times 100\times 100}{90\times 30}$

Thus solving the equation

y = 1000

Thus the total runners of men who completed marathon be 1000.

Hence proved

7 0

3 years ago

Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of resi

Ymorist [56]

Answer:

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.

This means that $p = 0.18, n = 100$