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crimeas [40]
2 years ago
6

A number y cubed plus x squared decreased by 7

Mathematics
1 answer:
agasfer [191]2 years ago
5 0

Step-by-step explanation:

It is read thus Y^3+X^2-7

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The scores on a Psychology exam were normally distributed with a mean of 67 and a standard deviation of 8. Create a normal distr
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Answer:

(a) The percentage of the scores were less than 59% is 16%.

(b) The percentage of the scores were over 83% is 2%.

(c) The number of students who received a score over 75% is 26.

Step-by-step explanation:

Let the random variable <em>X</em> represent the scores on a Psychology exam.

The random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 67 and standard deviation, <em>σ</em> = 8.

Assume that the maximum score is 100.

(a)

Compute the probability of the scores that were less than 59% as follows:

P(X

                =P(Z

*Use a <em>z</em>-table.

Thus, the percentage of the scores were less than 59% is 16%.

(b)

Compute the probability of the scores that were over 83% as follows:

P(X>83)=P(\frac{X-\mu}{\sigma}>\frac{83-67}{8})

                =P(Z>2)\\\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the percentage of the scores were over 83% is 2%.

(c)

It is provided <em>n</em> = 160 students took the exam.

Compute the probability of the scores that were over 75% as follows:

P(X>75)=P(\frac{X-\mu}{\sigma}>\frac{75-67}{8})

                =P(Z>1)\\\\=1-P(Z

The percentage of students who received a score over 75% is 16%.

Compute the number of students who received a score over 75% as follows:

\text{Number of Students}=0.16\times 160=25.6\approx 26

Thus, the number of students who received a score over 75% is 26.

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3 years ago
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Answer:

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3x+15=4x-5

20=x

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