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VladimirAG [237]
3 years ago
5

How many distinct committees of 6 people can be formed if the people are drawn from a pool of 17 people? Use factorials to expre

ss the answer
Mathematics
1 answer:
ella [17]3 years ago
3 0
There are several information's already given in the question. Based on those given information's the answer to the question can be easily deduced.
Number of people in each committee = 6
Then
Number of <span>distinct committees of 6 people = 17/[(17 - 6) * 6]
                                                                    = 17/(11 * 6)
                                                                    = 17</span><span>!/11!6!
I hope that this is the answer that you were looking for and the answer has actually come to your desired help.</span>
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2 angles are complementary. One angle measure is 79 degrees. What is the measure of the other angle?
lawyer [7]

Answer: 11 degrees

Step-by-step explanation:

Complementary means 2 angles that add up to 90 degrees.

90 degrees - 79 degrees = 11 degrees

Double Check: 79+11 = 90 degrees

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Based on a random sample of 500 people, 45 reported they have more than one
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Answer:

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Step-by-step explanation:

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8 0
4 years ago
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The point (2, 1) is a solution to which of the following systems of equations?
Snezhnost [94]

\huge\boxed{\left \{ {{x+y=3} \atop {3x-y=5}} \right.}

We can solve this problem by testing the solution against each system of equations. We'll do this by substituting the point into each equation for each system.

<h2>System 1 - \Large\textbf{X}</h2>

\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}2x+y&=5\\2(2)+1&=5\\4+1&=5\\5&=5\\&\checkmark\end{aligned}&\begin{aligned}-2x+y&=2\\-2(2)+1&=2\\-4+1&=2\\-3&=2\\&\text{X}\end{aligned}\end{array}

<h2>System 2 - \Large\textbf{X}</h2>

\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-2x-y&=-5\\-2(2)-1&=-5\\-4-1&=-5\\-5&=-5\\&\checkmark\end{aligned}&\begin{aligned}2x-y&=2\\2(2)-1&=2\\4-1&=2\\3&=2\\&\text{X}\end{aligned}\end{array}

<h2>System 3 - \Large\textbf{X}</h2>

\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}-x+y&=3\\-2+1&=3\\-1&=3\\&\text{X}\end{aligned}&\begin{aligned}-3x+y&=-5\\-3(2)+1&=-5\\-6+1&=-5\\-5&=-5\\&\checkmark\end{aligned}\end{array}

<h2>System 4 - \Large\checkmark</h2>

\begin{array}{c|c}\textbf{First Equation}&\textbf{Second Equation}\\\cline{1-2}\begin{aligned}x+y&=3\\2+1&=3\\3&=3\\&\checkmark\end{aligned}&\begin{aligned}3x-y&=5\\3(2)-1&=5\\6-1&=5\\5&=5\\&\checkmark\end{aligned}\end{array}

Since both equations in the final system are true when solved with (2, 1), the answer is the last system.

3 0
3 years ago
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guapka [62]

Answer: The acceleration is zero between seconds 3 and 4.

Step-by-step explanation: The velocity is the same, 6 m/sec. The slope is flat here. Acceleration is the change in velocity. There is no change here.

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