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muminat
3 years ago
11

The sigh of the product of two integers with the same sign is positive. What is the sigh of the product of three integers with t

he same sign? Explain your thinking.
Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

There are two possibilities

a) If the integers are positives the product will be positive.

b) If the integers are negatives the product will be negative.

Step-by-step explanation:

We need to use rule of signs to explain the answers

for answer "a"

We have (+)(+)( + )  equals positive

for answer "b"

We have  (-)(-) = + then this multiply by the last integer which has negative sign

                (+)(-) = -

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Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
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Vladimir79 [104]

Answer: first box: 1/8

second box: 4

Step-by-step explanation:

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