State if the scenario involves a permutation or a combination. Then find the number of possibilities.

The student body of 290 students wants to elect a president and vice president.

Permutation/Combination:

Answer:

Answers

Answer 1

Answer:

Permutation. ; 83810 ways

Step-by-step explanation:

Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.

Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.

Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;

Recall :

nPr = n! ÷ (n - r)!

Hence,

290P2 = 290! ÷ (290 - 2)!

290P2 = 290! ÷ 288!

290P2 = (290 * 289) = 83810 ways


Related Questions

What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?

Answers

Answer:

y = -3

Step-by-step explanation:

3x + 4y = 3

2x - 4y = 12

5x       = 15       Add the two equation together because the y terms are

                       opposite each other and goes out when you add the equations

x = 5

Substitute into the first equation and solve for y when x = 5

 3x + 4y = 3

3(5) + 4y = 3

 15 + 4y = 3

    4y = 3 - 15

    4y =  -12

      y = -3  

Explanation:
Step 1) Solve the second equation for
y
2
x
+
y
=

8

2
x
+
2
x
+
y
=

2
x

8
0
+
y
=

2
x

8
y
=

2
x

8
Step 2) Substitute
(

2
x

8
)
for
y
in the first equation and solve for
x
:

3
x
+
4
y
=
12
becomes:

3
x
+
4
(

2
x

8
)
=
12

3
x
+
(
4
×

2
x
)
+
(
4
×

8
)
=
12

3
x
+
(

8
x
)
+
(

32
)
=
12

3
x

8
x

32
=
12
(

3

8
)
x

32
=
12

11
x

32
=
12

11
x

32
+
32
=
12
+
32

11
x

0
=
44

11
x
=
44

11
x

11
=
44

11

11
x

11
=

4
x
=

4
Step 3) Substitute

4
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=

2
x

8
becomes:
y
=
(

2
×

4
)

8
y
=
8

8
y
=
0
The Solution Is:
x
=

4
and
y
=
0
Or
(

4
,
0
)


mZLOM= 3x – 15°
mZMON = 5x – 23°
Find mZMON:

Answers

Answer:

57

Step-by-step explanation:

Together both angles equal 90

(3x - 15) + (5x -23) = 90

Combine like terms

8x - 38 = 90

Add 38 to both sides

8x = 128

Divide by 8

x = 16

You can check by replacing x with 16 and seeing if it still equals 90.

To find angle MON... replace x with 16

5(16) - 23

Angle MON = 57

I hope this helps!!

How do you divide 35 and 97.3

Answers

Answer:

To divide a decimal number by a decimal number, multiply the divisor by as many tens as necessary until we get a whole number, and remember to multiply the dividend by the same number of tens. For example, 13.8 ÷ 0.6 becomes 138 ÷ 6 = 23.

Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list

Answers

Answer:36 is this 2nd grade?

Step-by-step explanation:

If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.​

Answers

Given that

(2a+b,11) and (1,a-3b) are equal ordered pair

⇛(2a+b,11) = (1,a-3b)

On comparing both sides then

2a+b = 1 ----------Eqn(1)

11 = a-3b

⇛ a-3b = 11 ------Eqn(2)

⇛ a = 11+3b-------Eqn(3)

On substituting the value of a in Eqn(1) then

⇛ 2(11+3b) + b = 1

⇛(2×11)+(2×3b) + b = 1

⇛ 22 +6b+b = 1

⇛ 22+7b = 1

⇛ 7b = 1-22

⇛ 7b = -21

⇛ b = -21/7

⇛ b = -3

On substituting the value of b in Eqn(3) then

⇛ a = 11+3(-3)

⇛ a = 11-9

a = 2

Therefore, a = -3 and b = 2

Answer:-The value of (a,b) for the given problem is (-3,2).

Pleaseeeee help ASAP thank youuu!!!!!!!

Answers

Solve the equation for x

Substitute the given value of x into the equation 3x+2y+z=13

Substitute the given value of x into the equation 2x+y+3z=9

Simplify the expression

Substitute the given value of x into the equation -y+9z=1

Solve the equation for y

Substitute the given value of y

Simplify the expression

(x,y,z) = (5,-1,0)

If a line crosses the y-axis at (0, -3), what is the y-intercept?

Answers

Answer:

Isnt it -3?

Step-by-step explanation:

72 is 45% of what number?

Answers

Answer:

160

Step-by-step explanation:

we have, 45%×x = 72

or, 45÷100×x = 72

multiplying both side by 100 and diving both side by 45,

we have x= 72×100÷45

x= 160 ANSWER

which coasts the most per disk a 10 pack for 5.99 , a 25 pack for 12.50 or 50 pack for 18.75

Answers

Answer:

25 disc for 12.50 is the most.

Step-by-step explanation:

You would have see how much each cost for one.

1. 10 for 5.99.

5.99 ÷ 10 is 0.599. So basically .60 cents.

2. 25 for 12.50.

12.50 ÷ 25 is 2. So basically 2 dollars per disc.

3. 50 for 18.75

18.75 ÷ 50 is 0.375. So basically .38 cent.

Now compare them.

1. 0.60

2. 2

3. 0.38

25 disc for 12.50 is the most.

Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Use pencil and paper. Explain how you can use mental math to find the slope of the line. (please show how to do on pencil and paper)

Answers

Answer:

[tex]m = 2[/tex]

Step-by-step explanation:

Using mental math to find the slope of the line:

If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:

(0, 0)

(4, 8)

As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)

2cosAcosB =

• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)

Answers

Answer:

2cosAcosB = cos( A + B ) + cos( A - B )

The following system of linear equations is solved by graphing them on the coordinate plane.

y=3x−2y=−35x−1

Which ordered pair is the best approximation of the solution to the system?


(0,−1)

(−1,0)

(−1,−1)

(1,1)

Math lol

Answers

Answer:

  (0, -1)

Step-by-step explanation:

Maybe you're graphing ...

y = 3x -2y = -3/5x -1

These lines meet in the 4th quadrant. The closest point among the answer choices is on the negative y-axis: (0, -1).

here what one is right?

Answers

Answer:

B.

Step-by-step explanation:

solve the equation 0.35(x + 4) 0.2

Answers

Answer:

7 • (x + 4)

 ———————————

 100    

Step-by-step explanation:

0.2" was replaced by "(2/10)". 2 more similar replacement(s)

STEP1:        1

Simplify    1

                 -

                5

Equation at the end of step1:

   35              1

 (——— • (x + 4)) • —

  100              5

STEP2:

                 7

Simplify   ——

                 20

Equation at the end of step2:

   7              1

 (—— • (x + 4)) • —

  20              5

STEP3:

Equation at the end of step 3

 7 • (x + 4)   1

 ——————————— • —

  20            5

STEP4:

Final result :

 7 • (x + 4)

 ———————————

 100    

Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the infinite and finite geometric series.

9. The first 9 terms of 12, – 6 ,+ 3, - …

10. The first 15 terms of -1, + 1, -…

11. The first 6 terms of 1, + 3, + …

12. The first 10 terms of 2, – 4, + …

Answers

Answer: 11

Step-by-step explanation:

9. The Sum of 9 terms is 513/64.

10. The sum of 15 terms is -1.

11. The sum of 6 terms is 364

12. The sum of 10 terms is -682.

We have,

Sn =a (1 - [tex]r^n[/tex] ) ÷ (1 – r)

9. 12, -6, 3, .....

Here, r=  -6/ 12= -1/2

So, S(9)

= 12 (1- [tex](-1/2)^9[/tex])/ (1 - (-1/2))

= 513/ 64

10.-1, +1, -.....

Here, r= 1/ (-1)= -1

So, S(15) = 1 (1- [tex](-1)^{15[/tex])/ (1 - (-1))

              = -1

11. 1, 3, .....

Here, r = 3/1 = 3

So, S(6) = 1 (1- [tex](3)^{6[/tex])/ (1 - 3)

              = 364

12. 2, -4, ...

Here, r= (-4)/ 2= -2

So, S(10) = -682

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Complete the following sentence (select all that apply). The expected count of females who are not pierced is what we would expect to see in the sample if ___________________________. Group of answer choices gender and piercing were significantly related. gender and piercing are independent. the null hypothesis is true. the null hypothesis is not true.

Answers

The statement that completes the blank is (c) the null hypothesis is true.

In sampling techniques, the expected count of a variable is dependent on the null hypothesis.

This means that, if the null hypothesis is true, then the expected count is what is expected to be seen in the sample.

This in other words, means that the complete statement is:

The expected count of females who are not pierced is what we would expect to see in the sample if the null hypothesis is true.

Read more about null hypothesis at:

https://brainly.com/question/25339965

the sum of three consecutive odd integers is 129. find the integers​

Answers

Answer:

[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]

Step-by-step explanation:

Let the three consecutive integers be x, x + 2 and x + 4

So, the given condition is:

x + x + 2 + x + 4 = 129

3x + 6 = 129

Subtract 6 to both sides

3x = 129 - 6

3x = 123

Divide 3 to both sides

x = 123/3

x = 41

So, the integers are:

x = 41

x + 2 = 41 + 2 = 43

x + 4 = 41 + 4 = 45

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same. Please select the best answer from the choices provided A B C D

Answers

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

2
The triangle is reflected across the w-axis and then reflected across the r-axis.
What are the coordinates of p' the image of P after the reflections?
OA (3)
OB (3,4)
O a. 3.
O D. (4, -3)

Answers

Answer:

Step-by-step explanation:

P = (-4, 3)

Reflecting across the y axis negates the x value

P₁ = (4, 3)

Reflecting across the x axis negates the y value

P' = (4, -3)

option D

Question 1

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.


a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.


b. What does the coefficient of the expression in part (a) represent?

Answers

Answer:

1a. 195x

1b. 195

Step-by-step explanation:

1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.

1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient

hope this helps!

Mark me as brainiest if you can

Pls help me find the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

2x+6=x+9 subtract x in both sides

x +6 =9 subtract 6 in both sides

x = 3

what is the answer to the following?

9+(60x8)-120?

80(50-24)+20?

Answers

Answer:9+(60x8)-120= 369

             80(50-24)+20= 126

Step-by-step explanation:

A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 

Answers

there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles

there are 18 marbles in total

8/18

Answer:

1/9 or 11.1%

Step-by-step explanation:

16 out of 18 are red

1/8 are red plastic

16/18 x 1/8 = 16/144 or 1/9

Cheyenne is on her school swim team.
She has won 6 of her 15 events so far
this year. Which equation can be used
to determine how many events she will
need to win in a row to have an overall
win rate of 75%?

Answers

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

Learn more about Equation:

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Ignore blue circles pls help guys!!

Answers

Answer:

y = 40 , 32 , 56 , -32 , -72

Step-by-step explanation:

Plug your x into your equation for the answer.

Brainliest would be appreciated. :-)

Does each relation represent a function? Choose Yes or No.
(1, 3), (2, 5), (2, 7), (4, 9)


(1, 3), (2, 5), (3, 7), (4, 9)


(1, 3), (1, 5), (1, 7), (1, 9)


(1, 3), (2, 3), (3, 3), (4, 3)

Answers

Answer:

No, Yes, No, Yes

Step-by-step explanation:

A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)

1.

List of inputs: 1, 2, 2, 7

List of outputs: 3, 5, 7, 9

For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function

2.

Inputs: 1, 2, 3, 4

Outputs: 3, 5, 7, 9

Each input only has one output, so this is a function

3.

Inputs: 1, 1, 1, 1

Outputs: 3, 5, 7, 9

For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function

4.

Inputs: 1, 2, 3, 4

Outputs: 3, 3, 3, 3

Each input is only mapped to one output, so this is a function

please help me do this question​

Answers

Answer:

hope you understand my answer:)

If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?​

Answers

The three consecutive terms in an AP are (k+1) ,3k and (4k+2)

We know that

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

now ,

Let a = k+1 , b = 3k and c = 4k+2

⇛3k = (k+1+4k+2)/2

⇛3k = (5k+3)/2

⇛2×3k = 5k+3

⇛6k = 5k+3

⇛ 6k-5k = 3

⇛ k = 3

The value of k = 3

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the first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?...

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What’s the answer to the equation


Answers

Answer:

To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!

X- y = -7 slope intercept form

Answers

Answer:

[tex]y=x+7[/tex]

Step-by-step explanation:

Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:

[tex]x+7=y \rightarrow y=x+7[/tex]

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