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3 years ago

Evaluate 6+4/a +b/3 when a = 4and b=3

Mathematics

1 answer:

tester [92]3 years ago

6 0

If , a = 4 and b = 3

Then :-

$= 6 + \frac{4}{4} + \frac{3}{3}$

$= 6 + \frac{(4 \times 3)}{12} + \frac{(3 \times 4)}{12}$

$= 6 + \frac{(12 + 12)}{12}$

$= 6 + \frac{2}{1}$

$= 6 + 2 \\$

$= 8$

$∴6 + \frac{4}{4} + \frac{3}{3} =8$

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Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

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Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that $\mu = 1.25, \sigma = 0.07$

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.95 - 1.25}{0.07}$

$Z = -4.29$

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 1.25}{0.07}$

$Z = -3.57$

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1.35 - 1.25}{0.07}$

$Z = 1.43$

For the restaurant that charges $1.35, the z-score is 1.43

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