Explain why the equation (x-4)2-28=8

Mathematics

1 answer:

Alex17521 [72]3 years ago

8 0

Answer:

x=10 or x=-2

Step-by-step explanation:

add 28 to both sides

(x-4)^2=36

sqrt both sides

remember to get positive and negative roots

x-4=+/-6

add 4 to both sides

x=4+/-6

x=4+6 or x=4-6

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The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

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:

$\mu = 28, \sigma = 6$