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3 years ago

Please help. I’ll mark you as brainliest if correct!

Mathematics

1 answer:

mezya [45]3 years ago

4 0

Answer:

x = -1

Step-by-step explanation:

2x - 7 = 9x

Subtract 2x from both sides: -7 = 7x

Divide both sides by 7: -1 = x

Now plug in 7 for every value of x in the original equation to make sure you are correct:

2(-1) - 7 = 9(-1)

-2 - 7 = -9

-9 = -9

I hope this helps!

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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

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.

5 0

4 years ago

A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

$nCr = \frac{n!}{(n-r)!r!}$

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

5 0

3 years ago

HELP ME ITS MATH PLEASE

Andrei [34K]

Answer:

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3 years ago

Find the radius of the sphere with a volume of 32/81π cubic yards. Write your answer as a fraction in simplest form.

alexdok [17]

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4 years ago

Round 23.23 to the nearest whole number

Hunter-Best [27]

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23.0

4 0

3 years ago

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