Write an equation. Let x be the unknown number.
Subtract four times a number from 14 is negative 3.

Answer:

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

To solve this question, we need to know the combinations formula and conditional probability.

Combinations formula:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

Event A: Contains both men and woman

Event B: Consists of two men and 1 woman.

Probability of containing both men and woman:

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So

[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]

Intersection of events A and B:

Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9).

[tex]D = C_{6,2}*C_{9,1} = 135[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Answer:

Step-by-step explanation:

A ≤ B ≤ C

C = 90°

B = A+42°

A+B = 90°

A+(A+42) = 90°

A = 24°

B = A+42° = 66°

24, 66, 90 are the measure of all three angles of the right angle triangle

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.

Let "x" be the smallest angle in a right angle triangle.

So, biggest angle in the triangle will be x +42

Since, sum of the all the angles in a triangle = 180

x + x+ 42 +90 = 180

2x + 42 = 90

2x = 48

x = 24

Measure of the smallest triangle =x = 24

Measure of the biggest angle = 24 + 42

Measure of the biggest angle = 66

therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.

Learn more about right-angle triangle here:

https://brainly.com/question/3770177

#SPJ2

Answer:

Step-by-step explanation:

- A cylindrical fish tank can hold approximately 502.40

cubic inches of water. If the height of the fish tank is

10 inches, what is the radius of the tank? Use 3.14 for

the answer, 6.86

Answer:

936 quarts

Step-by-step explanation:

[tex]n=24*39=936quarts[/tex]

Answer:

I feel like there is more to that question can you put the whole question

Answer:

Number of candies with Ian = 4

Step-by-step explanation:

Let Ian has [tex]x[/tex] candies.

Number of candies with Jason = [tex]3x[/tex]

Number of candies with Shawn = [tex]4(3x)=12x[/tex]

Total number of candies = 64

So,

[tex]x+3x+12x=64\\16x=64\\x=4[/tex]

Therefore,

Number of candies with Ian = 4

Answer:

M: (-12,-19) N:(20,5)

Step-by-step explanation:

M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.

20-(-3)= 23

Use the distance to find the coordinates.

-4+23= 19

N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.

-12-(-3)=-9

Use the distance to find the coordinates.

-4+9= 5

Answer:

N=(20,5)

M=(-12,19)

Step-by-step explanation:

Rectangular Coordinates

The diagram shows two identical and rotated triangles (assumed as right triangles).

We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.

The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.

The coordinates of M are (-12,y), where y = -4+23 = 19.

M=(-12,19)

The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.

The coordinates of N are (20,-4+9) = (20,5)

N=(20,5)

Hi there!

x=8

1.Subtract the answer with the 3 / subtract the terms:

[tex]2995-3=2992[/tex]

2.Divide the two terms:

[tex]2992*374=x[/tex]

Therefore, x=8

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

Answer:

(x, y) → (x + 5, y – 3)

Step-by-step explanation:

Refer to a graph. It helps.

Up = +

Down = -

Right = +

Left = -

Answer:

actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)

Step-by-step explanation:

got 100% on my e2020 unit test! ;D

Answer:

3/6+2/6=5/6is not improper fraction

Answer:

The third choice:  0.091

Step-by-step explanation:

There are only 9 cards with numbers that add up to 10:

19, 28, 37, 46, 55, 64, 73, 82, & 91

9/99 = 0.090909 or 0.091

Step-by-step explanation:

just subtract everything

Answer:

x^2(x-9)(x+3) lmk if u need steps

Answer:

x^2 (x+3) (x-9)

Step-by-step explanation:

...............

Answer:

No se perdon nesesito puntos

Answer:

3rd one down is the answer

Answer:

[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

68 revolutions per minute

Step 2: Identify Conversions

2π rad per revolution

60 seconds = 1 minute

Step 2: Convert

Answer: Becuase of the communitive property

Step-by-step explanation:

For example say you have 5 + 6

5 + 6 = 11

6 + 5 =11

no matter how you flip it, it's always the same

Answer:

Let the no. of students be X.

Boys = 60% of X .

So Boys = (60/100)*X.

So left 40% of students are girls and it is given they are 14.

So total students X= total boys + total girls.

X = (60/100)*X+14.

(40/100)*X = 14.

X = (14*100)/40.

X = 35.

X - (60/100)*X = 14.

Step-by-step explanation:

Answer:

d. 11050

Step-by-step explanation:

1. you're dividing to see how much one costs, 4420 divided by 4 = 1105

2. multiply by 10, 1105 x 10 = 11050 (add a zero)

Answer:

i dont know the exact answer but i can give you the instuctions on how to do do it.

Step-by-step explanation:

1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.

2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)

3. Add the answers you got from 1 and 2 to get your answer.

And there you have it.

Hope this helps!  

-Alex

Answer:

D.

Step-by-step explanation:

it is right

Answer:

498

Step-by-step explanation:

so first multiply -100 by -5 to get 500

the word "by" indicates multiplication

Next subtract -4 and 6 by 500

so 500 - 6 - (-4) = 498

Answer:

x is greater or equal to 5.5

Step-by-step explanation:

try using the app Photomath for numbers 1-3!