Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 5 choices

Answers

Answer 1

Answer:

95,040 ways

Step-by-step explanation:

The first position has 12 choices

The second has 11 choices (since first is filled)

The third has 10 choices

The fourth has 9 choices

The fifth has 8 choices

So the number of ways they can make the ranking will be;

12 * 11 * 10 * 9 * 8 = 95,040 ways

Answer 2

The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

Calculation of the number of ways:

Since Last year at a certain high school, 12 students sought the nomination for president of the student body.

So, here

we use the combination here

[tex]= 12!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\times 7!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\div 5\times 4\times 3\times 2[/tex]

= 792 ways

Therefore, The number of ways could the voters (student body) rank their first 5 choices is 792 ways.

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Related Questions

A total of $72,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $9,000, how much will be invested
in each type of investment?

Answers

Let amount in Cd be x dollars. So amount in bonds would be x + 9000.
Given that tots amount is 72000. That is x + x + 9000 = 72000.
So x = CD = $31500
And bonds = 31500 + 9000 = $40500

Florence had already read 13 books this year before joining a book club, I and she plans to read i book every month now that she has joined. If Florence has read 23 books so far, how many months has she been with her book club?​

Answers

Answer:

10 months

Step-by-step explanation:

What are proper units for measuring leanth in the u. S system of units

Answers

Answer:

Yard, foot, inch

Answer:

metres

Step-by-step explanation:

length is distance from one point to another an according to the standard units which are the same all along the world the length should be measured in metres

13 1/3% as a fraction

Answers

Answer:

1,333/100

Step-by-step explanation:

The reason is because a fraction can be divided. A fraction is out of a hundred. 13 by itself is equal to 1300/1000 by itself.

You spend $25 to buy supplies for making gloves, and plan on
selling them for $5 each pair. Find the minimum number of
gloves you have to sell in order to make a profit.

Answers

Answer:

You need to sell 6 gloves

Step-by-step explanation:

If you sell 5 gloves you will get 25$ because 5x5 is 25. So you need to sell 6 gloves in order to make a profit.

What percent of 16 is 50% of 50% of 48?

Answers

Answer:

150

Step-by-step explanation:

x %* 16 = 50% * 48

[tex]\frac{x}{100} = \frac{0.5 *48}{16} = \frac{24}{16} = \frac{6}{4} = \frac{3}{2} \\x = \frac{300}{2} = 150\\[/tex]

I guessed 50% is typed wrongly twice so I solved once with 50%

75% of 16 is equal to 50% of 50% of 48.

Percentage of 16 equivalent to 50% of 50% of 48 to be evaluate.

What are percentage?

Percentage is the matter of composition per unit whole composition.

Let x% of 16 = 50% of 50% of 48
x/100 *16 = 1/2*1/2*48
x/100*16 = 12
x = 12/16 * 100
x = 75%

Thus, 75% of 16 is equal to 50% of 50% of 48.

Learn more about percentage here:

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Write a quadratic equation in standard form with intergral coefficeints that has the roots 4 and -5.

Answers

Answer:

[tex]the \: quadratic \: equation \: is \to \: \\ \boxed{{x}^{2} + \: x \: -20 = 0}.[/tex]

Step-by-step explanation:

[tex]the \: general \: sandard \: form \: is \: given \: by : \\ ax {}^{2} + bx + c = 0 \to \\ since \: the \: roots \: are : \\ 4 \: and \: - 5 \\ we \: apply \: the \: rule \to \\ {x}^{2} - ( \alpha + \beta )x \: + \alpha \beta = 0 \\ therefore \: \to \\ {x}^{2} - ( 4+ ( - 5) )x \: + 4( - 5) = 0 \\ {x}^{2} + \: x \: -20 = 0.[/tex]

♨Rage♨

To qualify for a police academy, applicants are given a test of physical fitness

Answers

71.65 i believe is the answer

Simplify the following expression.
11x^2+9–2x–8x^2 - 6x

Answers

Answer:

3x^2-8x+9

Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Hope this helps! :) Plz mark as brainliest

Answer:   3x^2-8x+9 Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Thank you :)

Help please algebra one ten points !!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A

If 4(n−3)+2n=12, what is the value of n?

Answers

Answer:

n=4

Step-by-step explanation:

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[tex]4(n - 3) + 2n = 12[/tex]

[tex]4n - 12 + 2n = 12[/tex]

[tex]6n - 12 = 12[/tex]

Add sides 12

[tex]6n - 12 + 12 = 12 + 12[/tex]

[tex]6n = 24[/tex]

Divide sides by 6

[tex] \frac{6}{6} n = \frac{24}{6} \\ [/tex]

[tex]n = 4[/tex]

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The student in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the student sold x tickets to the dance.

Y=4x-500


What does the 4 represent in the equation?

A. The price per ticket

B. The cost of the band

C. The number of tickets sold.

D. The profit made from selling x tickets.

Answers

Answer:

A

Step-by-step explanation:

Price per ticket

A bag contains 8 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?

Answers

2/17 because thier is only 2 green marbles and the total of all the marbles is 17

Plz answer the question ASAP i reposted it since the last answer I got was weird

Answers

Use the image I added to see where I got the letters from.

Use the proper coordinates from each side to calculate each length:

A= -7-8
A=15

B=3-(-8)
B=11

C=2-8
C=6

D=-1-(-8)
D=7

E=-7-2
E=9

F=3-(-1)
F=4

Add all of these values together:
15+11+6+7+9+4=
46

So, the perimeter is 46 units.

Answer:

46

Step-by-step explanation:

46 I believe. I think it's 46. Don't count the units on the corners

A 5 ounce container of Greek yogurt contains 135 calories find the unit rate of calories per ounce

Answers

Answer:

27 calories per ounce

Step-by-step explanation:

just divide 135 by 5

f(x) = 2x3 + 3x2 – 7x + 2
g(x) = 2x – 5
Find (f + g)(x).

Answers

Answer:

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

(f + g)(x) = 2x³ + 3x² - 5x - 3

Please help me!
what is $1500; 4%; 4 years?
a) $240
b) $120
c) $150

Answers

C because you are going to divide 1500 by each 4 years

Evaluate the double integral. 4y2 dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

Answers

Answer:

44/3

Step-by-step explanation:

Let A be the line joining the vertices (0, 1) and (1,2) while B be the equation of the line joining (1, 2) and (4, 1).

The equation of a line joining points [tex](x_1,y_1) \ and\ (x_2,y_2)\ is:\\\\[/tex]

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

The equation of line A joining (0, 1) and (1,2) is:

[tex]y-1=\frac{2-1}{1-0} (x-0)\\\\y-1=x\\\\x=y-1[/tex]

The equation of line D joining (1, 2) and (4,1) is:

[tex]y-2=\frac{1-2}{4-1} (x-1)\\\\y-2=-\frac{1}{3} (x-1)\\\\3y-6=-x+1\\\\x=-3y+7[/tex]

Therefore the change in y is: 1 ≤ y ≤ 2, while change in x is: y-1 ≤ x ≤ -3y + 7. Hence the double integral is:

[tex]\int\limits^2_1\int\limits^{-3y+7}_{y-1} {4y^2} \, dx dy\\\\=4\int\limits^2_1\int\limits^{-3y+7}_{y-1} {y^2} \, dx dy\\\\=4\int\limits^2_1y^2dy[x]^{-3y+7}_{y-1} \\\\=4\int\limits^2_1y^2dy(-3y+7-(y-1))\\\\=4\int\limits^2_1y^2dy(-4y+8)\\\\=4\int\limits^2_1(-4y^3+8y^2)dy\\\\=4[-y^4+\frac{8}{3}y^3 ]^2_1\\\\=4(\frac{11}{3} )\\\\=\frac{44}{3 }[/tex]

To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits obtained from these equations give.

The solution is:

A = 44/3 square units  

Let´s call points:

P ( 0 , 1 )    Q ( 1 , 2 ) and R ( 4 , 1 )

The equation for the line between, P and R is:

y = 1

The equation for the line between, P and Q is:

Slope-intercept equation is  y = m×x + b

The slope   m₁ = ( 2 - 1 ) / ( 1 - 0 )    m₁ = 1

and the line passes over the point  x = 0  y = 1   ; then

1 = 0 +b           b = 1

y = x + 1            ⇒    x = y - 1  

The equation  for the line between Q and R is:

m₂ = ( 1 - 2 ) / ( 4 - 1)    m₂ = - 1/3

y = ( -1/3)× x + b

when x = 1    y = 2

2 = ( - 1/3)×(1) + b

2 + 1/3 = b

b = 7/3

y = - (x/3) + 7/3           ⇒  x = 7 - 3×y

The double  integral becomes:

A = 4×∫∫ y² dx dy          ⇒   A = 4 ×∫₁² y²dy ∫dx  | (y - 1 ) y ( 7 - 3y)

A = 4×∫₁² y²dy  × x |  ( y - 1 ) y ( 7 - 3y)

A = 4 ×∫₁² y²dy  × [ 7 - 3×y - ( y - 1 )]

A = 4 ×∫₁² y²dy  × (8 - 4×y )      ⇒     A = 4 ×∫₁² (8×y² - 4×y³ ) dy

A = 4 × [ (8/3)×y³ - y⁴ | ₁²

A = 4 × [ 64/3 - 16 - (8/3) + 1 ]

A = 4  × ( 56/3 - 15 )

A = 4  × ( 56 - 45 /3)

A = 4 × 11/3

A = 44/3 square units

Related Link :brainly.com/question/9825328

Please help I will put brainliest

Answers

Answer:

=−3125x^10y^25

Step-by-step explanation:

Please help!!
Mrs. Peterson makes ceramic figurines. She recently made 25 figurines. Of those figurines, 16 are animals. What percent of the figurines are NOT animals?

Answers

Answer:

Depends on how many digits the question wants. If rounded, 38%. Or just 37%

Step-by-step explanation:

She made 25 in all.

16 of them are animal figures. The question is asking what percent is NOT animal figure, so we need to subtract 25 by 16. That gives us 9. To find the percent, we need to divide 9 by the whole, which is 24. 9/24=0.375

The answer is 37% or 37.5% (It depends on how many digits the question is asking for. Also try rounding (38%).

Answer:

B-

Step-by-step explanation:

Bacon egg and cheeseeeeeeee

I don't have a big brain

Find the quotient.
77/-11 =

Answers

Should be -7 !!!!!!!

Solve the following equation algebraically. Show your work.

17=−13−8x

Answers

Answer:

x=-15/4 or -3.75

Step-by-step explanation:

17=−13−8x

30=-8x

x=30/-8 --> -15/4 or -3.75

Answer:

0.5

Step-by-step explanation:

It's simple really,

What you do is first add -13 from 17 and you get 4

17+-13=4

then you divide by 8 and you get 0.5.

4(divided by)8=0.5

Hope that helps you!

(If that's not the answer then do -0.5)

Can someone help me with this problem

Sonya has $595 in her savings account and she has to pay $45 each month to her parents
for her cell phone. Cameron has $55 and he saves $15 each month from his job walking
dogs for his neighbor. At this rate, when will Sonya and Cameron have the same amount of
money? How much will they each have?

Answers

Answer: They'll have the same amount of money in 9 months. They'll have $190

Step-by-step explanation:

Make a chart showing each month, with how much they have. Every time you add a month, subtract 45 to Sonya's amount of add 15 to Cameron's amount. Eventually, you'll get that they will both have $190 in 9 months. Hope this helped!

need help asap!!! if you could please give me the answer

Answers

Answer:

x = 20

Step-by-step explanation:

x-10 / x = 1/2

2*(x-10) = x

2x - 20 = x

x = 20

The car you just bought keeps breaking down. The parts you need to buy cost $408.97. Your mechanic also charges $53 per hour for labor. Which of these equations best shows the cost to fix your car?

Answers

Answer:

repair charge = 53 * hours of labor + 408.97

Step-by-step explanation:

I got this right on TTM/ Imagine Math :)

Is the equation y = 7.9x a linear or nonlinear function? Explain.​

Answers

Answer:

Linear

Step-by-step explanation:

If its linear it fits into the y=mx+b, and this on does so its linear

Deshawn has 850 pennies to put into 50 bags. He wants to put an equal number of pennies in each bag. He can use the expression below to find how many to put into each bag.

850/50

Which expression below could also be used to find the number of pennies in each bag?

Answers

Answer:

it can be 50x=850

x=850/50

x=17

Based on the density graph below, what is the probability of a value in the sample space being anywhere from 40 to 60? A. 75% B. 50% C. 25% D. 100%

Answers

Make a new question and actually add the graph.

Answer:

A.  ap3x quiz!

Step-by-step explanation:

What is an equation for a line perpendicular to y=1/3x+3 that contains (6,16)

Answers

Answer: J (y=3x-2)

Step-by-step explanation: In perpendicular equations, opposite reciprocals are required. This means that a slope of 3 is perpendicular to -1/3, thusly J is corret

What is the length of the diagonal of the rectangle?

Answers

Answer:

the diagonal of the rectangle is 5

Step-by-step explanation:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

[tex]c=\sqrt{3^{2} +4^{2} }[/tex]

[tex]c=\sqrt{9+16}[/tex]

[tex]c=\sqrt{25}[/tex]

[tex]c=5[/tex]

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