Which choices are equivalent to the expression below √16 • √9

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D.

yKpoI14uk [10]

The correct statement is:

There are four ways to choose the committee.
There are three ways to form the committee if person D must be on it.
If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1) There are four ways to choose the committee.

This statement is true.

Since we have to choose 3 members out of the 4 members so we can use the method of combination.

2) There are three ways to form the committee if person D must be on it.

This statement is also true.

Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3) If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

There are 35 combinations possible.

4) If persons B and C must be on the committee, there are two ways to form the committee.

If B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5) If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.

So possible number of ways is 2.

Hence, the statement is false.

Learn more about committee here: brainly.com/question/425830

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Your question is incomplete. Please read below to find the missing content.

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If seven members are eligible next year, then there will be fewer combinations.

If persons B and C must be on the committee, there are two ways to form the committee.

If persons A and C must be on the committee, then there is only one way to form the committee.

8 0

2 years ago

(8,-7)m=-3/4 write an equation in point slope form of the line that passes through the given point and has the given slope

Paladinen [302]

Answer:

Equation of the straight line in point-slope form

y -(-7) = $\frac{-3}{4}$ (x-8)

Equation of the straight line

3x +4y +4=0

Step-by-step explanation:

Explanation:-

Given that the point ( 8,-7) and $m = \frac{-3}{4}$

Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'

y - y₁ = m (x-x₁)

y -(-7) = $\frac{-3}{4}$ (x-8)

4( y+7) = -3(x-8)

4y +28 = -3x +24

3x +4y +28 -24 =0

3x +4y +4=0

6 0

3 years ago

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.0.05m + 12

Sergio039 [100]

The question is

What is the constant in the expression?

we know that

$c=0.05m+12$

where

c---------> the cost of Janelle’s cell phone bill

m-------> represents the number of minutes of use

$0.05$ -------> represent the cost per minute (slope of the linear equation)

$12$ -------> represent the constant in the expression

therefore

the answer is

The constant is 12

4 0

3 years ago

Read 2 more answers

The graphs below have the same shape. What is the equation of the blue graph?

postnew [5]

Answer:

Step-by-step explanation:

f(x) + n - shift the graph of f(x) n units up

f(x) - n - shift the graph of f(x) n units down

f(x - n) - shift the graph of f(x) n units to the right

f(x + n) - shift the graph of f(x) n units to the left

===================================

Look at the picture.

The graph of F(x) shifted 1 unit to the right and 3 units down.

Therefore the equation of the function G(x) is

$G(x)=(x-1)^2-3$

4 0

4 years ago

Regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries alloca

Rzqust [24]

Answer:

$15750 and $6750

Step-by-step explanation:

Revenue share of Dept. 1:

182000/260000*100% = 70%

Revenue share of Dept. 2:

100% - 70% = 30%

Allocate the indirect salary with same ratio.

Dept. 1:

22500*70/100 = 15750

Dept. 2:

22500 - 15750 = 6750

6 0

3 years ago