All categories

3 years ago

Please explain your answer as well. THX!!

Mathematics

2 answers:

telo118 [61]3 years ago

8 0

Answer:

The correct option is the first one.

Step-by-step explanation:

We know that 14 men and 24 women applied for a job. So a total of 38 persons applied for that job.

But there are 4 ways a man can be chosen. It can be the first person chosen, the second, the third of the fourth one.

So we know that the number of ways that four people can be selected out of 38 people is 38C4=73,815.

Also the number of ways 3 woman can be selected is 14*24C3 =14*2024 = 28,336.

Then, the probability of randomly selecting a group with 3 women is 28,336/73,815=0.3838

The correct option is the first one.

murzikaleks [220]3 years ago

3 0

Answer:

The correct answer is first option, 0.384

Step-by-step explanation:

It is given that, there are 14 men and 24 women apply for job.

4 are selected random

To find the probability

total people = 14 + 24 = 38

The number people selected in 38C₄ = 38 * 37 * 36 * 35

number of ways 1 men selected in 14C₁ ways

Number of ways 3 women selected is 24C₃ ways

Total number of ways select only 1 men and 3 women = 14C₁ * 24C₃

Required probability = (14C₁ * 24C₃)/(38 * 37 * 36 * 35)

= 0.3837 ≈ 0.384

The correct answer is first option

You might be interested in

Complete the page for 15 points.

sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

So the answer is 15, 16, 17

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

The numbers are 21, 23, and 25

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

The numbers are 44, 46, and 48.

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

The numbers are -4, -3, and -2.

3 0

3 years ago

The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and the

Dvinal [7]

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

$6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}$

So, a = 5.

Thank you.

7 0

3 years ago

:):):):):):):):):):):):))

lina2011 [118]

The answer for this question is B because - -e/-f is the same as - -e/f

5 0

3 years ago

Find the mean, mode and median of 3, 4, 5, 4, 6, 4, 7.

Luda [366]

Mode = is the number with the highest frequency so the answer is 4.
Mean = the average so the answer is 3+4+5+4+6+4+7=33 so 33/7=4.7 (rounded to the nearest one decimal).
Median = the middle number, so the answer is 4.

5 0

2 years ago

Is this a reasonable estimate? Why?

Vedmedyk [2.9K]

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

3 0

2 years ago