The midpoint of the segment as an ordered pair (-1,2) (9,2)

Mathematics

1 answer:

Harrizon [31]2 years ago

3 0

Answer: (4, 2)

Step-by-step explanation:

$\left(\frac{-1+9}{2}, \frac{2+2}{2} \right)=\boxed{(4, 2)}$

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Write an equation of a line which is passing through the point (8, −6) and is parallel to another line, whose slope is −2

AlekseyPX

-6=-2(8)+b
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3 years ago

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Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o

AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that $\mu = 490, \sigma = \sqrt{400} = 20$