Two sides of a triangle have lengths 10 and 30. The third side has a length that is

Answer: 4

Step-by-step explanation:

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:

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:

Personaly i would say kirby. but zelda is better than any other game series

Step-by-step explanation:

My Answer: B O T H .

Reason:

They're both my childhood

Answer:

V = 32

Step-by-step explanation:

V = b^2(h)

V= (4)^2 (2)

V = 32

Answer:

7/25. then do 25-7. take that answer and divide by seven

Step-by-step explanation:

also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator

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:

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:

The mean, median and mode are all estimates of where the "middle" of a set of data is. These values are useful when creating groups or bins to organize larger sets of data. The standard deviation is the average distance between the actual data and the mean.

Step-by-step explanation:

Please Mark Brainliest!

Answer:

59 plain donuts

Step-by-step explanation:

17 chocolate+23 maple=40 in total

89-40=59

59 plain donuts

Answer:

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

Answer:

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

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:

40/3

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

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.

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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:

this is the answer to your question x=73/4; 4/73=1/x

Answer:

dont we all

Step-by-step explanation:

did u figure it out by now? comment down

Step-by-step explanation:

Answer:123456789igfdsdfyuio

Step-by-step explanation:

Answer:

16/20

Step-by-step explanation:

4 x 4 =16

5 x 4 =20

   16/20

Answer:

yes

Step-by-step explanation:

Answer: 500/700

Step-by-step explanation:

Multiply the numerator and denominator by 100.

Answer:

500/7

Step-by-step explanation:

5/7 × 100 =

5/7 × 100/1

5 × 100 / 7 × 1

= 500/7

Answer:  6,6.         12,18.     18,6

Step-by-step explanation:

cause I got it right..

The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph has a triangle ABC.

The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)

We have to find the coordinates of triangle ABC after a dilation with scale factor 3.

Dilation is the scaling of an object, where it gets bigger or smaller

Now the coordinates after dilation are A'(6,6)

B'(12, 18)

C'(18, 6)

Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)

To learn more on Graph click:

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Answer:

I gotchu its 1/12

Step-by-step explanation:

I think the answer is 1/12 bc...

Keep change flip so

1/4÷3=?

is now...

1/4 keep

÷ is now x (division changes to multiplication)

3 is a whole number an that can turn into 3/1 which flipped is 1/3

The equation is 1/4 x 1/3

1/4 x 1/3 = 1/12

The answer is 1/12

Hope this helped :)

Posted on: 2-24-2021 at 8:37am

Positive quote of the day:

“Every day may not be good... but there's something good in every day.”

Answer:

creo que es 15

Step-by-step explanation:

Answer:

can u translate for english?

Step-by-step explanation:

I can't understand

Answer:

it is 5 units

Step-by-step explanation:

All you have to do for this one is subtract 6-1 which equal 5 units. This only works in this one because is says at the end -2 on both the numbers.

Answer:

Step-by-step explanation:

2g + h = 2 --------------(I)

g - h = -5------------(II)

   g = -5 + h

Plugin g = -5 + h in equation (I)

  2(-5 + h) + h = 2              {Distributive property:a(b+c) = a*b +a*c}

(-5)*2 + h *2 + h= 2

-10 + 2h  + h    = 2

             3h = 2 + 10

       3h = 12

         h = 12/3

h = 4

Substitute h= 6 in equation (I)  

2g + 4 = 2

    2g = 2 - 4

    2g = -2

      g = -2/2

g = -1

Answer:

Step-by-step explanation: