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aivan3 [116]
3 years ago
10

Which equation can be used to solve for x in the following diagram ?

Mathematics
1 answer:
Sliva [168]3 years ago
4 0
C 35+5x=90
5x=90-35
x=55/5
x=11
Hope this helped
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Answer:

(a) See Explanation

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Given

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\sigma = \$20 --- standard deviation

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The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

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The sample mean estimates the population mean

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\sigma_x = 0.8944

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We have:

n = 500 --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

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Solving (d): P(\bar x \ge 55)

Calculate the test statistic (t)

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t = \frac{55 - 50}{0.8945}

t = \frac{5}{0.8945}

t = 5.590

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P(\bar x > 55) = P(t > 5.590)

Referencing the z table, we have:

P(t > 5.590) = 0

Hence:

P(\bar x > 55) = 0

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