Simplify each expression by filling in the box.

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]

Total outcomes:

4 students from a set of 24, hence:

[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]

0.0417 = 4.17% probability that Nia is chosen as president.

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Answer:The answer is 23 P 3/ 24 P 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(6-8)

m=(2+4)/-2

m=6/-2

m=-3

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

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Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

Answer:

x = -5/2, (5+5i√3)/4, (5-5i√3)/4

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

Answer:

i belive it is 46.2

Step-by-step explanation:

Alma was definitely correct to say that the tickets are $14 each.

The total amount in dollars the class have for tickets to the science museum

is $140.

The teacher writes as follows:

Alma says the tickets are $14 each.

Mohammed says that 14 students are going for the trip

The teacher divided 140 by 10. This means the number of student in the class is 10 not 14 as Mohammed enunciated.

The teacher divided the total amount available for the ticket($140) by the number of student in the class(10). Then the quotient ($14) is the amount in dollars which each student will pay for the ticket to the science museum.

Therefore, Alma was definitely correct.

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Answer: many solutions

Step-by-step explanation:

Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

D10W has a concentration 10%

So

Dextrose amount=

[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]

[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]

[tex]\\ \sf\Rrightarrow 75.6ml[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

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Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

Answer:

16x + 12

Step-by-step explanation:

20x + 12 - 4x

20x - 4x = 16x

16x + 12

Answer: 15x + 12

Step-by-step explanation:

(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

Answer:

It is the second answer.

Step-by-step explanation:

Answer:

[tex]\frac{11}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]

so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]

since all the denominators are the same we simply add the numerators to find x

x would be 8 +3 = 11

so [tex]\frac{11}{10}[/tex] is the answer

Answer:

regan ate more than maggie

Answer:

Step-by-step explanation:

Given:

s = b + 7

=> 11 = b + 7

=> b = 4

a = 15 + b

=> a = 15 + 4

=> a = 19

Therefore, the equation is 'a = 15 + 4' and the answer is 'a = 19'.

Hoped this helped.

I apologize if this was incorrect or un-helpful.

So

As z=11

[tex]\\ \rm\Rrightarrow y+7=11[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

My age=

Answer:

y = 3.2

Step-by-step explanation:

8/y = 10/4

10y = 32

y = 32 / 10

y = 3.2

Answer:

The answer is 9 ( C on edge)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

C on edge

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