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german
3 years ago
11

How many oz. of a metal containing 40%

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

3 oz

Step-by-step explanation:

Let x represent the number of oz. of the medal with 40% gold:

Set up an equation and solve for x:

0.4x + 7(0.9) = 0.75(x + 7)

0.4x + 6.3 = 0.75x + 5.25

6.3 = 0.35x + 5.25

1.05 = 0.35x

3 = x

So, you will need 3 oz. of the metal with 40% gold

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3 years ago
A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to hig
olya-2409 [2.1K]

Answer:

The minimum score a person must have to qualify for the society is 162.05

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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}

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In this problem, we have that:

Test scores are normally distributed with a mean of 140 and a standard deviation of 15. This means that \mu = 140, \sigma = 15.

What is the minimum score a person must have to qualify for the society?

Since the person must score in the upper 7% of the population, this is the X when Z has a pvalue of 0.93.

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The minimum score a person must have to qualify for the society is 162.05

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