3(a+10)=3a+10 find the solution

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%.

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

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

Sorting an excel table

Lana71 [14]

Sort data in a table

Select a cell within the data.

Select Home > Sort & Filter. Or, select Data > Sort.

Select an option: Sort A to Z - sorts the selected column in an ascending order. Sort Z to A - sorts the selected column in a descending order. Custom Sort - sorts data in multiple columns by applying different sort criteria.

6 0

3 years ago

The distance between the library and town hall is 735 ft the actual distance is 612 ft what is the percent error. Round your ans

tatyana61 [14]

well, we know the actual distance is 612, however the estimate is 735, is off by 735 - 612 = 123.

now if we take 612 to be the 100%, what is 123 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 612&100\\ 123&x \end{array}\implies \cfrac{612}{123}=\cfrac{100}{x}\implies \cfrac{204}{41}=\cfrac{100}{x}\implies 204x=4100 \\\\\\ x = \cfrac{4100}{204}\implies x = \cfrac{1025}{51}\implies x \approx 20.098$

5 0

3 years ago

I don't know whats wrong, please help. It is the exact formula.

const2013 [10]

The formula for circumference is 2 $\pi$ r, where r is equal to radius.
It states to use 3.142 for pi
It also provides you with the diameter, not the radius, so you have to divide it by two to get 4.5
2*3.142*4.5= approximately 28.278 or 28.3

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4 years ago

Read 2 more answers

A local deli sells 4-inch sub sandwiches for $2.95. It has decided to sell a "family sub" that is 50

liubo4ka [24]

Answer:

36.875

Step-by-step explanation:

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3 years ago