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Mathematics

1 answer:

m_a_m_a [10]2 years ago

7 0

Lets check the first point (0,6)

3*0+4=4 no good

0+6 =6 good

0^2+6 =6 good

6 * (7/6) ^0 =6 good

Lets check the second point (1,7)

3*1+4= we don't care since it didn't work for (0,6)

1+6 =7

1^2+6 =7

6 * (7/6) ^1 =7

Lets check the third point (2,10)

3x+4= we still don't care

2+6 = 8 no good

2^2+6 =10 good

6 * (7/6) ^2 =6 * 49/36 =49/6 no good

f(x) = x^2 +6

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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:

$\mu = 28, \sigma = 6$