Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed number.

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

P is greater than 8/7

PilotLPTM [1.2K]3 years ago

4 0

Answer:

p> $\frac{8}{7}$

Step-by-step explanation:

The equation is 6(2 P-1) > 5 P +2

6(2 P-1)> 5 P+2

6×2 P-6×1> 5 P+2

12 P-6> 5 P+2

12 P - 5 P > 2+6

7 P > 8

P > $\frac{8}{7}$

P is greater than $\frac{8}{7}$

Hence, the correct answer is p greater than $\frac{8}{7}$

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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:

$\mu = 162, \sigma = 8$