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GenaCL600 [577]
3 years ago
12

Complete the inequality to describe the range. −2 y 5

Mathematics
2 answers:
Nat2105 [25]3 years ago
5 0

We can describe the range by flipping the equation.

-2 > y > 5

That is your answer to the question.

zalisa [80]3 years ago
5 0

Answer:

-2>y>5

Hope this helps

               

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A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with
serious [3.7K]

Answer:

a) 0.0062 = 0.62% probability that the return will exceed 55%.

b) 0.3085 = 30.85% probability that the return will be less than 25%

c) 30%.

d) The 75th percentile of returns is 36.75%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

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.

Mean 30% and standard deviation 10%.

This means that \mu = 30, \sigma = 10

(a) Find the probability that the return will exceed 55%.

This is 1 subtracted by the p-value of Z when X = 55. So

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

Z = \frac{55 - 30}{10}

Z = 2.5

Z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability that the return will exceed 55%.

(b) Find the probability that the return will be less than 25%

p-value of Z when X = 25. So

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

Z = \frac{25 - 30}{10}

Z = -0.5

Z = -0.5 has a p-value of 0.3085

0.3085 = 30.85% probability that the return will be less than 25%.

(c) What is the expected value of the return?

The mean, that is, 30%.

(d) Find the 75th percentile of returns.

X when Z has a p-value of 0.75, so X when Z = 0.675.

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

0.675 = \frac{X - 30}{10}

X - 30 = 0.675*10

X = 36.75

The 75th percentile of returns is 36.75%.

7 0
3 years ago
Which statement is the correct interpretation of the inequality −3 > −4?
alukav5142 [94]

Answer:

Most number lines have left be negative and right be positive. Hence, -3, which is more positive than -4, would be to the right of -4.

Step-by-step explanation:

4 0
3 years ago
9y - 3 (if y = 10)..
podryga [215]

Step-by-step explanation:

9y-3=?

9(10)-3

=90-3

=87

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Answer:

Marieka will be 3 years younger that David

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she'll be 29 years old ...

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