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Oxana [17]
3 years ago
9

A committee has thirteen members. There are three members that currently serve as the​ board's chairman, ranking member, and tre

asurer. Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman, ranking member, and treasurer.
What is the probability of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions?
Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer: Probability P = 1/1716

Step-by-step explanation:

Definition

For permutation ( order is important)

nPr = n!/(n-r)!

Given;

Total number of members in the committee = 13

Total number of members to be selected = 3

Since order is important in this case.

The total number (Tt) of possible ways of selecting three executives from the committee members is given as

Tt = 13P3 (since order is important)

Tt = 13!/(13-3)!

Tt = 13!/10!

Tt = 1716

The probability P of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions is equal to

P = number of favourable outcomes/ number of possible outcomes

Number of favourable outcomes = 1 (i.e 1×1×1 = 1) one option for each post.

Number of possible outcomes = Tt = 1716

P = 1/1716

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A plant grows the same amount every week. Which graph matches the situation described? b e .​
dem82 [27]

Answer:

Option A

Step-by-step explanation:

Let the height of plant is 'b' units.

Graph representing the height of the plant will have y-intercept = b units

Since, the plant is growing at the same rate every week,

And growth of the plant is continuous.

Therefore, graph will be a straight line and continuous.

Since, the height of the plant is always increasing,

Slope of the line will be positive.

Option A will be the answer.

8 0
3 years ago
Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8
olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0
3 years ago
1 - 121000<br> What is the slope of a line that is parallel to the line y = 3/4x + 2
OleMash [197]

Answer:

3/4

Step-by-step explanation:

Parallel lines have same slopes.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need help with this question: Label: Coefficients, variables, terms, and constant. −2x2 + 9x − 3
iVinArrow [24]

Answer:

  coefficients: {-2, +9, -3}

  variables: {x}

  terms: {-2x^2, 9x, -3}

  constant: {-3}

Step-by-step explanation:

It is difficult to "label" here, so we'll list each, separated by commas.

<u>Coefficients</u>

Coefficients are the multiplicative factor of an expression. Depending on the expression of interest, it may consist of numbers, variables, or expressions. Here, we consider the expression of interest to be powers of x, so the coefficients are as listed. The last one (-3) is sometimes called a "constant coefficient." It multiplies x^0.

  coefficients: {-2, +9, -3}

<u>Variables</u>

A variable is usually a letter, symbol, or sequence of letters and symbols, that stands for something else--usually an unknown quantity. Its meaning and value will depend on the context. Generic variables are usually taken from the end of the alphabet: x, y, z. Their capitalization, font, or face may give special meaning. For example bold-face capital letters may be used to represent vectors or matrices.

  variables: {x}

<u>Terms</u>

A term is a product of coefficients and variables. Terms in a polynomial are separated by addition or subtraction symbols.

  terms: {-2x^2, 9x, -3}

<u>Constant</u>

"Constant" usually refers to a term containing no variables. It generally refers to a value that doesn't change.

  constant: {-3}

8 0
3 years ago
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