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OleMash [197]
3 years ago
7

Which is the quotient if 3/5 and 1/10?

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

6

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

\frac{3*10}{5*1}

30/5

Simplify by dividing the numerator and denominator by 5 :

\frac{30/5}{5/5} = \frac{6}{1}

Divide the numerator by denominator :

\frac{6}{1} = 6

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Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m
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Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be \sqrt{\sigma_1^2+\sigma_2^2}

Therefore,

μ = 130-120=10

\sigma = \sqrt{8^2+10^2}=12.806

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

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

z=\frac{5-10}{12.806}\approx-0.39

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

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3 years ago
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Answer:

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Step-by-step explanation:

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