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Pepsi [2]
2 years ago
8

20 people have volunteered for a 5-person neighborhood advocacy committee. 11 of them are homeowners and the rest are local busi

ness owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?
Mathematics
1 answer:
Anvisha [2.4K]2 years ago
8 0

We have that the ways 5-person committee such that exactly 2 local <em>business </em>owners are represented is mathematically given as

N=5940

<h3>Probability</h3>

The Probability that 2 local business owners are represented on the committee is given by finding the ways the can be seated amongst the 5

Generally 2 local business owners are represented is mathematically given as

N=11C3*9C2

Therefore

N=165*36

N=5940

For more information on Probability visit

brainly.com/question/795909

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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9
AnnZ [28]

Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

g(x)=3x-9\\=3(x-3)

Thus, we have

(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}

On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

5 0
3 years ago
A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your a
horsena [70]

The box of 10 is a better buy because each bar of soap is worth $1.08 instead of $1.26 that you would pay for the box of 14.

7 0
3 years ago
*<br> HELP: Find the indicated angle measure.<br> Find m2NLM<br> A. 10<br> B.60<br> C.120<br> D.30
Debora [2.8K]
The answer is easy
So we need to fund m2NLM
The answer is c
5 0
2 years ago
9x+6-4x-2x+1-15 simplify plz
erik [133]

Answer:

3x-8

Step-by-step explanation:

8 0
2 years ago
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