Translate the equation into written algebraic sentence 8x=4x-7

Mathematics

1 answer:

Rzqust [24]2 years ago

7 0

Answer:

x = -7/4

Step-by-step explanation:

"Eight times a number equals 4 times that number less 7."

Subtracting 4x from both sides of this equation, we get:

4x = -7

Dividing both sides of this result by 4 yields

x = -7/4

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The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 28, \sigma = 7$