...What is, -7=z/2+1

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:

If a quadrilateral is a figure, then it has four sides.

Answer:

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

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:

Step-by-step explanation:

convert 3.9 kg to grams

3.9×1000=3900 g

density = mass/ volume

= 3900/ 200

=19.5 g/cm3

Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

Answer:

dont we all

Step-by-step explanation:

did u figure it out by now? comment down

Step-by-step explanation:

Answer:

A

Step-by-step explanation: plz mark brainliest

If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC

Answer:

an extra comment so the other guy gets brainlist:)

Step-by-step explanation:

Answer:

m= -2

Step-by-step explanation:

Answer:

936 quarts

Step-by-step explanation:

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

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:

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:

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:

D.

Step-by-step explanation:

it is right

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

try using the app Photomath for numbers 1-3!

Answer:

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

Answer:

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

Step-by-step explanation:

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

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

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:

yes

Step-by-step explanation:

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:

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

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:

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:

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