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GaryK [48]
3 years ago
13

There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su

ch committees are possible? a. 120 b. 720 c. 1,060 d. 1,520 e. 1,980
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = \frac{n!}{k!(n-k)!}

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Each side of a square is increased by 3 inches. The perimeter of the new square is 40 inches more than twice the length of the s
RUDIKE [14]

Length of side of new square is 17 inches

Step-by-step explanation:

  • Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x

Perimeter of a square = 4 × side

⇒ 4(x + 3) = 40 + 2x

⇒ 4x + 12 = 40 + 2x

⇒ 2x = 28

⇒ x = 14 inches

  • Step 2: Find length of side of the new square

⇒ x + 3 = 17 inches

6 0
3 years ago
1. Determine the following set of adjustments to the equation then draw the graph !!
suter [353]

Answer:

y = -1 and u = 3.333

Step-by-step explanation:

The given equations are :

3u + y = 9 ...(1)

3u-5y = 15 ...(2)

Subtract equation (2) from (1).

3u + y-( 3u-5y)= 9 -15

y+5y = -6

6y = -6

y = -1

Put the value of y in equation (1).

3u + (-1) = 9

3u-1 = 9

3u = 10

u = 10/3

u = 3.333

The attached figure shows the graph for the above equations.

4 0
3 years ago
Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163
larisa86 [58]
To solve this we are going to use the average rate of change formula: A(x)= \frac{f(b)-f(a)}{b-a}
where
A(x) is the average rate of change of the function
f(a) is the position function evaluated at a
f(b) is the position function evaluated at b
a is the first point in the interval
b is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so a=3 and b=6. Lets replace those values in our formula:
A(x)= \frac{f(b)-f(a)}{b-a}
A(x)= \frac{f(6)-f(3)}{6-3}
A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}
A(x)= \frac{-32-(-8)}{3}
A(x)= \frac{-32+8}{3}
A(x)= \frac{-24}{3}
A(x)=-8

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
3 0
3 years ago
Read 2 more answers
Please help (Will make brainliest!!) <br> Solve and explain steps
vlada-n [284]
If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.
4 0
4 years ago
Sandy says the graph could represent a person's walk from home to school. Why is Sandy's analysis incorrect?
Free_Kalibri [48]

Answer:

C

Step-by-step explanation:

C:  The graph shows that there is no movement for the first few minutes, and then the distance from home decreases (rather than increases).

7 0
2 years ago
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