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Mashutka [201]
3 years ago
8

32.5% of what is 12.48?

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0
Percent is the amount of something in a whole per amount of the whole times 100. To solve for this problem, we write an expression and assign x as the number that represents the number where 32.5% is equal to 12.48.

(32.5/100)x = 12.48
x = 38.4
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Answer:

C. Probability is 0.90, which is inconsistent with the Empirical Rule.

Step-by-step explanation:

We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.

First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:

z=\frac{x-\mu}{\sigma}

z=\frac{87.5-97.5}{6.1}

z=\frac{-10}{6.1}

z=-1.6393

z\approx-1.64

z=\frac{x-\mu}{\sigma}

z=\frac{107.5-97.5}{6.1}

z=\frac{10}{6.1}

z=1.6393

z\approx 1.64

Now, we need to find the probability P(-1.64.

Using property P(a, we will get:

P(-1.64

From normal distribution table, we will get:

P(-1.64

P(-1.64

P(-1.64

Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.

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Step-by-step explanation:

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