There are 11 students in a high school senior class. In how many ways could the yearbook choose the winners of Most Athletic, Class Clown, Best School Spirit, and Best Looking?​

Answers

Answer 1
We have 11 items and 4 choices

Using the formula for 11C4

We can work out that the amount of ways to choose 4 things from 11 is equal to

11!/(7!)(4!) = 330 ways
Answer 2

The number of ways the yearbook chooses the winners of Most Athletic, Class Clown, Best School Spirit, and Best Looking is 330 ways.

What are permutation and combination?

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Given that there are 11 students in a high school senior class. The number of ways will be calculated as,

The formula for arrangement,

¹¹C₄ = 11!/(7!)(4!)

¹¹C₄ = 330 ways

To know more about permutation and combination follow

https://brainly.com/question/4658834

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Related Questions

20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.


Fill in Line 4 and give the property.


Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem

Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property

Line 3: -2x − 30 = 2x − 26 Collect Like Terms

Line 4: _______________ _______________

Answers

The value of x from the given equation is -1

Given the equation expressed as:

[tex]3(x - 10) - 5x = 2x - 26[/tex]

Expand using the distributive law as shown:

3x - 3(10) - 5x = 2x - 26

3x - 30 - 5x = 2x - 26

Collect the like terms to have:

3x - 5x - 2x = -26 + 30

-2x - 2x = -26 + 30

Simplify the result by addition and subtraction:

-4x = 4

Divide both sides by -4 (Division property of equality)

-4x/-4 = 4/-4

x = -1

Hence the value of x from the given equation is -1

Learn more equations here: https://brainly.com/question/22688504

Tyrone works in a grocery store and he puts boxes on shelves. There are 4 shelves in the cereal section of the store. All shelves hold the same number of boxes of cereal. If there are 80 boxes of cereal on the shelves, how many boxes are on each shelf? In complete sentence

Answers

Divide 80 (the number of boxes) by 4 (the number of shelves) and you’ll get 20. There are 20 boxes of cereal on each shelf.

please solve this quick
9 times 11 = 0.818181...
Explain?

Answers

doesnt it equal 99?

Josie owns 21 books. She buys 6 books every week. Write the recursive sequence to describe how number books she has.

Answers

Answer:

a1=21

an=an-1+6

Step-by-step explanation:

What is the equation of the line passing through the point (2, 3) and perpendicular to the line y=2x+7?

Answers

Answer:

[tex] -\frac{1}{2}x + 4[/tex]

estimate a 15 tip on a restaurant bill of $24.55

Answers

Answer:

39.55

Step-by-step explanation:

24.99+15=39.55

That is how you get your answer :)

Answer:

1.89

Step-by-step explanation:

.15 x 24.55=1.89

find the slope
a line that passes between (-5, 8) and (2,4)

Answers

Answer:

Step-by-step explanation:

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

(4 - 8) / (2 - - 5)

-4 / 7

m = -4 / 7 = -0.57143

1 22.8 ÷ 0. 92 =
2 34.08 ÷ 0.24 =
3 28.9 ÷ 0.85 =
4 7. 15 ÷ 0.05 =
5 210.21 ÷ 0.91 =




Please answer it​

Answers

Answer:

1. 24.7826087

2. 142

3. 34

4. 143

5. 231

if the answer wants number 1. rounded in tenths, put 24.8

if they want it rounded in hundreths, put 24.78

hope this helps

1) 24.78

2) 142

3) 34

4) 143

5) 231

hope u liked this answer

#keep learning

If a triangle has a base of 6' and a height of 4' its third side would be what?

Answers

Answer:

≈7.2

Step-by-step explanation:

hope this helps

Answer: ≈7.2

Explanation: a^2+b^2=c^2
6^2+4^2=c^2
36+16=c^2
52=c^2
c= 7.211102550927979…
c≈7.2

The sum of two consecutive integers is -11. Find the number

Answers

Answer:

-5 and -6

Step-by-step explanation:

Lets do the equation: x+x+1=-11

Add: 2x+1=-11

Subtract: 2x=-12

Divide: x=-6

The smaller integer is -6

The larger integer is -5

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

A' = (4,0)
B' = (4,4)

Helpppp pleaseeee ????

Answers

Answer:

LQ = 54

Median = 69

UQ = 94

Step-by-step explanation:

This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.

Solve the equation algebraically show work to support the answer
2/3x + 4 = 2

Answers

Answer:

2/3x + 4 = 2

or,3x+2+4=2

or,3x+6=2

or,3x=2-6

or,3x=-4

or,x=-4/3

x=-1.33

how would i plot this on a graph??

Answers

Step-by-step explanation:

This is in the form of

[tex]h(x) = y[/tex]

in this case, x is 1 and y is 7. So ourbpoint would be (1,7.)

Question:
Goofy Unlimited Lighting sells a 12 pack of lightbulbs for $8.40. Daisy Luminous Lighting sells a pack of 19 lightbulbs for
$15.35. Which store has the better deal. (3 points - 1 point showing the correct proportional relationship, 1 point
showing the unit rate, 1 point for identifying the store name)
es 0)
balo

Answers

Answer:

Goofy unlimited lighting 12 pack of light bulbs

Step-by-step explanation:

12 = 8.40/12 = .70 cents

19 = 15.35 = .81 cents

10. In a recent season, the San Francisco Giants
won 75 out of 162 games. What percent of their
games did they win? Round to the nearest tenth if
necessary.

Answers

Using the percentage concept, it is found that the San Francisco Giants won 46.3% of their games.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem:

The Giants played a total of 162 games, hence b = 162.They won 75 games, hence a = 75.

Then:

[tex]P = \frac{75}{162} \times 100\% = 46.3\%[/tex]

The San Francisco Giants won 46.3% of their games.

You can learn more about the percentage concept at https://brainly.com/question/10491646


At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.

Answers

Answer:

what is the question?

Step-by-step explanation:

A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?

Answers

Answer:

1272 feet²

Step-by-step explanation:

Breadth (Width) =  24 feet

Length = (24 × 2) + 5

            = 48 + 5

            = 53 feet

Area = Length × Breadth

Area = 53 × 24

        = 1272 feet²

basically how to write y-3=4(x+2) in slope intercept form

Answers

Answer: y = 4x + 11

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Rewrite in slope-intercept form.

Simplify the right side.

Simplify 4(x + 2).

y - 3 = 4x + 8

Move all terms not containing y to the right side of the equation.

Add 3 to both sides of the equation.

y = 4x + 8 + 3

Add 8 and 3.

y = 4x + 11

Your Welcome! :)

Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)

a
4 to the tenth power over 5 to the fifth power

b
4 to the fourth power over 5

c
4 to the twenty-first power over 5 to the sixth power

d
12 to the seventh power over 15 squared

Answers

The answer is C, 4 to the 21st over 5 to the 6th power.

If the mean of five values is 8.2 and four of the valuesare 6, 10, 7, and12, find the fifth value.​

Answers

Answer:

6

Step-by-step explanation:

→ Do the 8.2 × 5

41

→ Minus the answer from the sum of the values

41 - ( 6 + 10 + 7 + 12 ) = 6

A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80

Answers

Answer:

0.80

Step-by-step explanation:

its the farthest away from 0.60

QUESTION 22 PLEASE HELP ME!!!!

Answers

Answer:

the answer is infinite

Step-by-step explanation:

would u like me to explain?

Which of the following is a geometric sequence with a common ratio of 2?

A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...

Answers

Answer:

A

Step-by-step explanation:

Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.

Find the allowable height for the hypotenuse if the hypotenuse catheters are 4 cm and 9 cm

Answers

Answer:

L = 9.85 cm

Step-by-step explanation:

I guess you meant length for the hypotenuse. We just apply the pythagorean theorem:

L = [tex]\sqrt{(4 cm)^2 + (9 cm)^2} = \sqrt{16 cm^2 + 81 cm^2} = \sqrt{97 cm^2} = (circa) 9.85 cm[/tex]

Answer:

solutions given;

base:9 cm

perpendicular: 4 cm

hypotenuse:?

By using pythagorus law

hypotenuse^2: perpendicular^2+base^2

hypotenuse:[tex]\sqrt {4^2+9^2}[/tex]

hypotenuse:9.84cm

Please look for the question in the picture.

Answers

Answer:

C and B

Step-by-step explanation:

20%=1/5 so D+1/5D

1.2 = 120%

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]

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

Explanation:

Multiply each coordinate by 0.5, which is the same as the fraction 1/2.

This causes the preimage to shrink to a smaller image.

The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5


7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Area of quarter = 1/4 × Area of whole circle

that is ~

[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex]

[tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex]

[tex] \sf \dfrac{153.86}{4} [/tex]

[tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]

Find the number that makes the ratio equivalent to 9:1

Answer has to end with :8

Answers

the answer is 72 : 8

Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=

Answers

Answer:

x = -2.

y = 3.

Step-by-step explanation:

If y = 3x + 9

Substitute this value for y in the first equation.

4x + 5(3x + 9) = 7

4x + 15x + 45 = 7

19x = 7 - 45

19x = -38

x = -38/19

x = -2.

with this value of x, substitute -2 in the second equation

y = 3(-2) + 9

y = -6+9

y = 3.

check if your values are all correct

4(-2) + 5(3) = 7

-8 + 15 = 15 - 8 = 7

Correct!

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