What are the solution

Mathematics

1 answer:

AleksandrR [38]2 years ago

3 0

Answer:

Step-by-step explanation:

We can get two equations from the inequality:

$3x+2>9\\3x+2>-9$

We just need to simplify both equations to get our answers:

$3x+2>9\\3x>7\\x>\frac{7}{3}$

$3x+2>-9\\3x>-11\\x>\frac{-11}{3}$

The two answers we get are:

$x\frac{7}{3}$

Which is also B.

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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

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.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$