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Vikentia [17]
2 years ago
13

3p -3= 8p+5 need help please

Mathematics
2 answers:
lys-0071 [83]2 years ago
6 0

Answer:

\frac{8}{5} -= p

Step-by-step explanation: 3p -3 =8p + 5                                                              3 +5 =8p -3p                                                                                                                                    8=5p                                                                                                                                   \frac {8}{5}- = p

dybincka [34]2 years ago
4 0

Answer:p=-8/5

Step-by-step explanation:simplify

subtract -8p from both sides

simplify

divide by -5

p=-8/5

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2 years ago
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Fynjy0 [20]

Answer:

0.02% probability that the average amount billed on the sample bills is greater than $500.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using 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 problem, we have that:

\mu = 465, \sigma = 300, n = 900, s = \frac{300}{\sqrt{900}} = 10.

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This probability is 1 subtracted by the pvalue of Z when X = 500. So

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

Z = \frac{500 - 465}{10}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998.

So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.

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