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ololo11 [35]
3 years ago
10

Hey Siri Council consist of eight Democrats and five Republicans if a committee of five people are selected find the probability

of selecting two Democrat and three Republicans
Mathematics
1 answer:
Flura [38]3 years ago
6 0

Answer:

55/2574 ≈ 2.18%

Step-by-step explanation:

There are a total of 13 people on the council.

The probability that the first person is a Democrat is 8/13.

The probability that the second person is a Democrat is 7/12.

The probability that the third person is a Republican is 5/11.

The probability that the fourth person is a Republican is 4/10.

The probability that the fifth person is a Republican is 3/9.

The total probability is:

P = (8/13) (7/12) (5/11) (4/10) (3/9)

P = 56/2574

P ≈ 0.0218

There is a 2.18% probability of selecting two Democrats and three Republicans.

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Kenyl covers the front of a circular bulletin board with fabric that costs 1.48 per square foot. The bulletin board has a radius
Gnoma [55]

Answer:

29

Step-by-step explanation:

In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.

To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.

Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.

mathematically A = 2.5^2 * pi = 19.63 sq. feet

The cost of the fabric per square feet is 1.48.

now the cost for this area that we have will be 1.48 * 19.63 = 29.0524

This is nearest to 29

7 0
3 years ago
Can someone help me with this question ?
damaskus [11]
Tan52° = x/29

The angle of elevation is 52°, so that must be inside the tan function.

Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.
8 0
2 years ago
Identify the question that is NOT statistical
motikmotik
I’m not sure but I need points
8 0
2 years ago
Plz Helppp meeee assapppp
Gwar [14]

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = \sqrt{5}

In a right angle triangle,

\cos \theta = \dfrac{Base}{Hypotenuse}

For the given triangle,

\cos 45^\circ= \dfrac{x}{\sqrt{5}}

\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}

Multiply both sides by \sqrt{5}.

\dfrac{\sqrt{5}}{\sqrt{2}}= x

\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x

\dfrac{\sqrt{10}}{2}= x

Therefore, the required value of x is \dfrac{\sqrt{10}}{2}.

8 0
2 years ago
A square park has an area of 6561 square meters. If you walk around the park what is the distance that you would have walked?
Paraphin [41]
First we have to find length of 1 side of the square. We can use formula for area of the square. A=a*a   ==>  A=a^2 where a is length of the side.
From this formula we can find
a= \sqrt{A}
a=\sqrt{6561} =81 - 1 side
Now we just have to multiply it by 4, because there are 4 sides.
81*4=324 - its the answer
4 0
3 years ago
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