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tresset_1 [31]
3 years ago
12

Simplify the expression-3(b-7)

Mathematics
2 answers:
oee [108]3 years ago
8 0
-3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.
Slav-nsk [51]3 years ago
7 0
Multiply -3 to each term in the parentheses:
-3(b)= -3b
-3(-7)= 21
These are not like terms, so write them as an expression:
-3b + 21 or 21 - 3b
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5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.
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Problems of normal distributions can be solved using the z-score formula.

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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.

SAT score that is in the 95th percentile

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

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The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

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X = 29.49

The equivalent ACT score is 29.49.

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