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3 years ago

Is 31 prime or composite

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Answer:

The answer is prime

Lina20 [59]3 years ago

4 0

Answer:

It is Prime

Step-by-step explanation:

It is prime because you cannot multiply anything besides 31×1 or 1×31

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Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0

3 years ago

The midpoint of AB is M(-3, 0). If the coordinates of A are (1,-4), what are the coordinates of B?

zimovet [89]

Using the given information, the coordinates of B are (-7, 4)

<h3>Midpoint of a Line </h3>

From the question, we are to determine the coordinates of B.

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of AB is M(-3, 0)

and

The coordinates of A are (1,-4)

Let the coordinates of B be (x₁, y₁)

Then,

-3 = (1 + x₁)/2

-6 = 1 + x₁

x₁ = -6 -1

x₁ = -7

Also,

0 = (-4 + y₁)/2

0 = -4 + y₁

y₁ = 0 + 4

y₁ = 4

Hence, the coordinates of B are (-7, 4)

Learn more on Midpoint of a line here: brainly.com/question/18315903

#SPJ1

7 0

2 years ago

Determine the coordinates of the point shown. A coordinate grid shown. There are increments of 0.5 for each grid line on each of

Leni [432]

Grid lines to the right represent positive numbers for the first coordinate. 3 of them will put you on a grid line with a value of 3×0.5 = 1.5.

You now know enough to select the correct answer, ...

... (1.5, -2.5)

_____

You can confirm this is the correct answer by figuring the second coordinate. Down represents negative numbers, so down 5 units is -(5×0.5) = -2.5. This matches the second coordinate of the chosen answer.

3 0

3 years ago

Aanand earns Rs 80 in 7 hours and pramode earns Rs 90 in 12 hours. find their ratio

My name is Ann [436]

Answer:

1.671:1

Step-by-step explanation:

80/7=11.99(9) or ~12

90/12= 7.177(7)

11.99(9)/7.177(7)=1.671

1.671:1

6 0

4 years ago

If Julie needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?

Gwar [14]

The answer is thirteen
1 cup=4 one fourths
3 cups=12 one fourths
Add one more one fourth

6 0

3 years ago

Read 2 more answers