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krek1111 [17]
3 years ago
5

Out of five men and five women, we form a committee consisting of four different people. Assuming that each committee of size fo

ur is equally likely, find the probabilities of the following events:
1. The committee consists of two men and two women.
2. The committee has more women than men.
3. The committee has at least one man. For the remainder of the problem, assume that Alice and Bob are among the ten people being considered.
4. Both Alice and Bob are members of the committee.
Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

An44swer:

Step-by-step explanation:

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X^2 + 4y^2 =100; 4y - x^2 = -20
deff fn [24]
x^2+4y^2=100\implies x^2=100-4y^2
\implies 4y-(100-4y^2)=-20
\implies 4y^2+4y-80=0
\implies y^2+y-20=0
\implies (y-4)(y+5)=0
\implies y=4,y=-5

When y=4, you have

4(4)-x^2=-20\implies x^2=36\implies x=\pm6

When y=-5,

4(-5)-x^2=-20\implies x^2=0\implies x=0

So there are three solutions, (x,y)\in\{(6,4),(-6,4),(0,-5)\}.
7 0
3 years ago
A bird was perched on a tree at a height of 19 feet. The bird then saw food on a branch below and dropped down 7 1/2 feet. What
solmaris [256]

Answer:

11 1/2 feet

Step-by-step explanation:

You simply subtract 19 and 7 1/2 because the bird dropped down which means it is closer to the ground, therefore, subtracting its original height at 19 feet. Hope that helped.

8 0
3 years ago
Read 2 more answers
Solve: (x + 5)^2 + 15 = 64
Anna [14]
(x + 5)^{2} + 15 = 64   Subtract 15 from both sides
<span>(x + 5)^{2} = 49   Find the square root of both sides to cancel out the </span>(x + 5) ^{2}
x + 5 = 7   Subtract 5 from both sides
x = 2
<span>
</span>

3 0
4 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
lutik1710 [3]

Answer:

What is the question?

Step-by-step explanation:

7 0
4 years ago
Here is a map of a town.
gtnhenbr [62]

Answer:

The distance between park and museum is 12km.

Step-by-step explanation:

Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :

1cm = 3km

4cm = 3km \times 4

4cm = 12km

7 0
3 years ago
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