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3 years ago

Which of the following is the prime factorization of 42? Choose the correct answer.

Mathematics

2 answers:

aev [14]3 years ago

8 0

Answer:

7×2×3

Step-by-step explanation:

horrorfan [7]3 years ago

6 0

Answer:

2x3x7

Step-by-step explanation:

Because that's what you have to multiply giving you 42

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An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

3 years ago

I got 16/63 but i am not sure if its correct or not .

QveST [7]

Answer:

i think i got

sin x =16/65 not 16/63

3 0

2 years ago

Find the area of the following shape. You must show all work to receive credit.

Artist 52 [7]

By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.

<h3>How to simplify the shape.</h3>

So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.

Remember that:

A triangle of height H and base B has an area = B*H/2
A rectangle of length L and width W has an area = L*W.

Then the area of the given shape is:

A = 8*4/2 - 3*2 - 2*2/2

A = 16 - 6 - 2

A = 8

So the given shape has an area of 8 square units.

If you want to learn more about areas, you can read:

brainly.com/question/14137384

5 0

2 years ago

A group of friends are going to a cottage for the weekend and you look at the road map to see how far away it is.

ioda

8.5 x 250,000 = 2,125,000
2,125,000 x .00001 = 21.25km
1cm = .00001km

7 0

3 years ago

Which could be a conditional relative frequency table ???

user100 [1]

Answer:

The table that represents the conditional relative frequency is:

A B Total

C 0.25 0.75 1.0

D 0.35 0.65 1.0

Total 0.30 0.70 1.0

Step-by-step explanation:

We know that a conditional relative frequency table is one:

In which the entries in each row is divided by the row total .

In which the entries in each column is divided by the column total.

i.e. the frequency or quantity of an item is being compared either to row or to the column total.

Hence, from the given options, the table that represent the conditional relative frequency is:

A B Total

C 0.25 0.75 1.0

D 0.35 0.65 1.0

Total 0.30 0.70 1.0

8 0

3 years ago

Read 2 more answers