Use a combination to answer the following question.

The track coach needs to higher three managers for the track team. If ten students applied for the positions,

How many ways can the coach select three managers from 10 students?

n=
r=

Answer:

(answer with no comas or decimals)

Answers

Answer 1

Answer:

   120 possible combinations

Step-by-step explanation:

We have to find the combination of 10 students in 3 positions, where the order does not matter.

[tex]n=10\\r=3\\[/tex]

Then, the combination can be calculated as :

[tex]C(n.r)= \frac{n!}{(n-r)!r!} \\C(10,3)=\frac{10!}{10-3)!3!} =\frac{10!}{7!.3!} = \frac{10.9.8}{3.2} =\frac{720}{6} =120[/tex]

Answer : 120 possible combinations

PLEASE MARK ME AS BRAINLIEST


Related Questions

Down the Babbling River
Some family and friends have asked you to plan an end-of-the-summer getaway. A
rafting company has agreed to take your group down the Babbling River. (It's actually a
little smaller than a river, more like a brook.) The rafting company has given you specific
details as to how much weight each raft can hold. A raft can safely carry the weight of 24
babies. As everyone knows, the weight of 12 babies is exactly equal to the weight of 4
kids; the weight of 6 kids is equal to the weight of 3 adults.
What is the fewest number of rafts needed for a trip with 11 adults, 5 kids, and 21
babies?

Answers

ANSWER; 200 cause it 100+200


1. True/False: A structure is a form, arrangement or built
2. Function is what its job is, what it's work is, what is it used for, etc.?
True/False?
3. Level of Organisms starts with cells. True /False?
4. Cell form tissues- tissues form organs-organs form organisms. True/
False?
5. There are External and Internal structures. True or False?

Answers

Answer:i know number one its true

Step-by-step explanation: thats all i know


Please please help me

Answers

D shows the correct dot plot because the dots are correctly placed for each given number.

$18 for 3 bracelets; $30 for 5 bracelets

Answers

Step-by-step explanation:

I don't have my wallet on me. Tho could you further explain?

Please help me with the question

Answers

Answer:

4/5

Step-by-step explanation:

For cosB you do adjacent / hypotenuse so : 12 / 15 and then reduced = 4/5

7x + 12 = 6 solve for x

Answers

Answer:

-6/7

Step-by-step explanation:

math

Answer:

[tex]x = - \frac{6}{7} [/tex]

Step-by-step explanation:

7x + 12 = 6

7x = 6 - 12

7x = -6

[tex]x = - \frac{6}{7} [/tex]

Please help this is due today and. I need to get it done fast!!!

I will mark Brainliest if there are multiple answers!!!


These shapes (in the photo attached) are similar. Find the value of x.

Answers

Answer:

x = 16.5

Step-by-step explanation:

The best way to solve this is to use cross multiplication.

[tex]\frac{3}{x} = \frac{4}{22}[/tex]

4 * x = 4x

22 * 3 = 66

Your equation is 66 = 4x.

Divide both sides by 4.

66/4 = 16.5

4x/4 = x.

16.5 = x.

Therefore, your answer is 16.5.

I hope this is helpful!

Yx÷2;use x=7,and y=2

Answers

Answer:

7

Step-by-step explanation:

yx ÷ 2

(2)(7) ÷ 2

14 ÷ 2

7

PLEASE HELP WITH #7, #8, AND #9

EXTRA POINTS AND I WILL VOTE BRAINLIEST

Answers

Answer:

number 8 is below

Step-by-step explanation:

Let integers be:

x, x + 2 (since they are even)

Hope this helps:)

16 + ( - 4 1/2 ) show your work

Answers

Answer:

[tex]13 \frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16 + ( - 4 \frac{1}{2} ) = 16 - 4 \frac{1}{2} [/tex]

Here is a table giving the thousands of commuters in Alabama in 2015 by transportation method and one-
way length of commute:
Commute duration (one-way)
Private vehicle
Public transportation
Other
Total
< 15 minutes
498
1
27
526
15-29 minutes
-748
2
8
758
30-44 minutes
387
2
4
393
45-59 minutes
145
1
0
146
> 60 minutes
109
3
3
115
Total
1887
9
42
1938
Find the relative frequency marginal distribution of transportation method.
Round to the nearest whole percent.

Answers

Answer:

526

758

393

146

115

Step-by-step explanation:

The relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.

What is a relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

We know the formula for the relative frequency:

[tex]\rm Rf = \frac{Frequency}{Total \ frequency}[/tex]

From the data given the Rf value for the private vehicle:

[tex]\rm Rf = \frac{1887}{1928} \times100[/tex]

Rf = 0.97×100 = 97%

For public transport:

= 0.005×100

= 0.5

= 0  (whole value)

For other:

= 0.022×100

= 2.2

=2 (whole value)

Thus, the relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.

Learn more about the relative frequency here:

brainly.com/question/8358304

#SPJ2

ted can rope a calf in 15 and 30 hundredths of a second randy can rope in his calf in 15 and 5 tenths of a second who was faster?
1. ted
2. randy

Answers

Ted was faster by .2 seconds.

I will add two pictures for context for this question. I'll give brainliest


Her budget is $65 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes C(x)=65 and solves for x. What value of x makes this equation true?

Remember the function is C(x)=30x+5.

Answers

Answer:

Consider all the info you are given:

The monthly allowance is 2 GB...this is basically how much data is included in the the plan so that the monthly pymt is the same every month. When the GBs used goes pass 2GB...there is a cost to that.

You're given C(x) = 30x + 50, the monthly cost of the plan

'x' is the GB of data used OVER the allowance (2GB.)

They put over in italics to give you a hint to the solution.

(a) C(0.7) is the cost when the data used goes over 2GB by 0.7 GB. C(0.7) = 30(0.7) + 5 = 26

The college student would pay $26 when they use an extra 0.7GBs (pass the allowance.)

(b) This part to the problem wants you to figure out how much the overage, pass the 2GBs, the college student can go and only end up paying $50 (the set budget)

So you the solve for x by setting C(x) = 50

30x + 5 = 50

30x = 50 - 5 = 45

x = 45/30

x = 1.5

Remember x is the overage (the GBs over the allowances), so to stay at budget, the college student can use 3.5 GBs of data (2GBs + 1.5 GBs) only pay $50 that month.

Hope this helps...

Higher Order Thinking Lemmy walked 3 1/2 miles on Saturday and miles 4 3/4 on Sunday. Ronnie walked 5 3/8 miles on Saturday. Who walked farther? How much farther?

Answers

Answer:

Lemmy ; 2 7/8 miles

Step-by-step explanation:

Given that :

Distance walked by Lemmy:

Saturday = 3 1/2 miles

Sunday = 4 3/4 miles

Total distance walked by Lemmy:

3 1/2 + 4 3/4

7/2 + 19/4

(14 + 19) / 4

33 / 4

= 8 1/4

Miles walked by Ronnie : 5 3/8

Lemmy walked farther because : 8 1/4 > 5 3/8

Number of distance walked farther than Ronnie :

8 1/4 - 5 3/8

33/4 - 43/8

(66 - 43) / 8

= 23/ 8

= 2 7/8 miles

Andre's dad wants to buy a used car to give to Andre for his birthday. The car costs $7,500 to
purchase and $0.15 per mile for gas and maintenance. After how many miles will the total cost
equal $15,000?

A.
500

B.
1,125

C.
14,333

D.
50,000

[Will give brainliest]

Answers

Answer:

The answer is D

Step-by-step explanation:

50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$

HELP ME PLEASE 30 POINTS ON THE LINE

Answers

Answer:

88

Step-by-step explanation:

First we do what is inside the parenthesis:

(6+2)=8

Then we do:

[tex]8^{2}[/tex]=64

So:

[tex]14+[64 + 10][/tex]

Then we do brackets:

14+{74}

Then we add:

88

Answer: 88

Step-by-step explanation:

    14 + ((6 + 2^)2 + 10)

Remove parentheses.

    14 + (6 + 2)^2 + 10

Simplify each term.

Add 6 and 2.

    14 + 8^2 + 10

Raise 8 to the power of 2.

    14 + 64 + 10

Simplify by adding numbers.

Add 14 and 64.

    78 + 10

Add 78 and 10.

    88

Plz help.......................​

Answers

Answer:

perpendicular

Step-by-step explanation:

4*(-1/4)=-1, so lines are perpendicular

(1/2) to the second power time 24.0

Answers

Answer:

6

Step-by-step explanation:

James is purchasing a new pair of AirPods for $199.99. If the tax rate is 9%, how much will he spend?

Answers

Given:

Price of new AirPods = $199.99

Tax rate = 9%

To find:

How much will he spend?

Solution:

We have,

Price of new AirPods = $199.99

Tax rate = 9%

Tax value = 9% of $199.99

                = [tex]\dfrac{9}{100}\times 199.99[/tex]

                = [tex]17.9991[/tex]

Now,

Total money spend = Price of AirPods + Tax

                                = [tex]199.99+17.9991[/tex]

                                = [tex]217.9891[/tex]

                                [tex]\approx 217.99[/tex]

Therefore, the total money spend by James is $217.99.

What is the volume of this cone -radius 4ft, height of 8?

Answers

Answer:

V= 134.04 ft³

Step-by-step explanation:

If AC = 52, AB = 8x + 8, and BC = 2x + 4, then the length BC is

Answers

Answer:

12

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

52 = 8X + 8 + 2X + 4

Combining like terms:

52 = 10X + 12

Subtract 12 from both sides:

40 = 10X

Divide by 10:

X = 4

Now that we know X, we can figure out BC

BC = 2(4) + 4

BC = 8 + 4

BC = 12

Therefore BC is 12.

what is the value of | 7 |?​

Answers

Answer:

7 the brackets just makes any number in there positive

Step-by-step explanation:

Answer: for pozitive numbers its just the number in this case 7

Step-by-step explanation: if it was | -7 | it wood be 7

Each side length of the parallelogram at the right is multiplied by 4. Describe the change in the parameter. Justify your answer.

Answers

side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

help please urgent don't have much points 10 points

Answers

Answer:

Y=70

X=110

Step-by-step explanation:

if the inside of a triangle equals 180, than 70 plus 40 equals 110 which mean Y =70. if a straight line eguals 180 as well 180-70= 110 X= 110

Ok so the answer to the question is Y= 70 X=110

Solve the problem 7 divided by $6.93

Answers

Answer:

1.01010101 U.S. dollars-1

Step-by-step explanation:

Answer:

$0.99

Step-by-step explanation:

Can you please show you work?

Answers

Answer:

8

Step-by-step explanation:

If you replace x with the given answers, the only one that would make both answers the same is 8

Answer:

8

Step-by-step explanation:

7x - 4 = 5x + 12

7x - 5x - 4 = 5x - 5x + 12

2x - 4 = 12

2x - 4 + 4 = 12 + 4

2x = 16

2x/2 = 16/2

x = 8

Find the value of y.
26

Answers

So in finding the value of y we are actually finding the adjacent.

Formula: b^2 = c^2 - a^2

y^2 = 26^2 - 18^2
y^2 = 676 - 324
y^2 = 352

Now we are gonna find the square root of both sides.

y^2 (square root) = 352 (square root)
y = 19

Value of y = 18.76 or 19

Lisa has $55 to spend on basketball cards.
NBA pro cards cost $4 each and college
cards cost $2 each. What equation in
standard form determines the number x of
NBA pro cards and the number y of college
cards she can buy?

I need help asap plz

Answers

Answer:

The answer is $55 =$4x * $2y

Step-by-step explanation:

Kevin earned $18 for babysitting 6 hours. Which equation below represents the relationship between dollars earned (d) and hours worked (h)?
1. d = 3h
2. d = 3/h
3. d = h/3
4. d = h + 12

Answers

I think it’s number 1

Answer:

B

Step-by-step explanation:

The answer is B

I did it and got 100%

hope it helped LOL = )

Which is cheaper? Buying 3 cans of bake beans at 1.50 each or a triple pack for $5

Answers

Answer:

Buying 3 cans individually.

Step-by-step explanation:

If you bought 3 cans for 1.50 it would be 4.50.

If you bought a triple pack it would be 5 dollars.

So 4.50 is less than 5 dollars.

Hope this helps!

Answer:

The 3 cans of beans at 1.50 each would be cheaper than the triple pack for $5.

Step-by-step explanation:

1.50 x 3 = 4.50, which is less than (<) 5.

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