Rational formulas and variations

Mathematics

1 answer:

Zanzabum3 years ago

7 0

Answer:

Direct to running

Joint to apples

Direct to meat

I hope this is good enough:

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Need a lil help please

Georgia [21]

Answer:

B(2, 4)

Step-by-step explanation:

<u>Given points:</u>

A(-1, -9) and M(0.5, -2.5)

Let the coordinates of B are (x, y)

<u>Use midpoint formula to determine the point B:</u>

0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2
-2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

3 0

3 years ago

Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

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.

In this question, we have that:

$\mu = 60, \sigma = 16$