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3 years ago

Can someone please help?? I don’t understand this

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Answer:

When y = 5; x = 2

Step-by-step explanation:

What we have to do here is to first go to the point y = 5 on the y-axis

Now, the next thing is to trace this to the plot

The tracing will meet the plot at a point

At this point, we can now drop a line to the x-axis

By this, we can get that at y = 5; then x = 2

Now, we want to check the validity from the linear equation given

That would be;

y = -x + 7

y = -2 + 7

y = 5

This holds according to the linear equation given

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3 years ago

Ms. Caswell deposits $450 into an account earning 8% simple interest per year. How

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Answer:

$144

Step-by-step explanation:

Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.

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3 years ago

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

Trava [24]

Answer:

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

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

Step-by-step explanation:

Let the random variable X represent the scores on a Psychology exam.

The random variable X follows a Normal distribution with mean, μ = 67 and standard deviation, σ = 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 z-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 z-table.

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

(c)

It is provided n = 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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4 years ago