There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15

Answers

Answer 1

Answer:

B. Combination; number of ways = 15

Step-by-step explanation:

Since order doesn't matter, this is a combination:

6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15

Therefore, there are 15 possible ways to choose 2 co-captains out of 6.

Answer 2

Combination; the number of ways = 15.

Option B is the correct answer.

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.

The number of ways to choose two seniors out of six seniors is given by the formula:

C(6,2) = 6! / (2! * 4!) = 15

Therefore,

Combination; the number of ways = 15.

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Related Questions

What is the value of y?
please hellpp!!!

Answers

Answer:

C=54°

Step-by-step explanation:

If u add each angle of a triangle should ways add up to 180°

Please I need help for this..


Kelly works in a grocery store stocking shelves. The graph below shows the money Kelly earns stocking shelves.




Write an equation to represent the money Kelly earns in relationship to the hours she works. Let m represent the money she earns, and let h represent the number of hours she works.

Answers

Answer: m=1/8h

Step-by-step explanation:

When writing a linear equation, the slope is always rise over run. When it rises (goes up) 1, it runs (goes to the side 8. So the slope is 1/8. There is no y intercept because the line passes through (0, 0). The equation is m= because the amount of money earned equals 1/8h.

Which sentence has the quotation marks placed correctly ?

1.) “Mother ," I cut my finger , said Jane.

2.) "Mother, I cut my finger," said Jane.

3.) Mother, I cut my finger, "said Jane."

4.) "Mother, I cut my finger, said Jane."

Answers

“Mother”, I cut my finger, said Jane.
Option 2 is correct.

Right Triangles

Solve the right triangle shown in the figure
BC = 2.7cm, AC = 1.1cm, ∠C = 90°

a. ∠A = 68°, ∠B = 22°. AB = 2.9cm
b. ∠A = 22°, ∠B = 68°, AB = 2.9cm
c. ∠A = 63°, ∠B = 27°, AB = 2.9cm
d. ∠A = 24°, ∠B = 66°, AB 3.8cm

Please select the best answer from choices provided

Answers

Answer:

A. ∠A = 68°, ∠B = 22°, AB = 2.9cm

Step-by-step explanation:

I calculated it logically

Simplify this please.

Answers

Answer:

The answer is in the picture I couldn't type it sorry.

Step-by-step explanation:

Last year a farm produced 6.2 - 10^6soybeans and 7.8. 10^6 onions.
a.) What was the total number of vegetables produced by the farm last year?

Answers

Answer:

Yessir

Step-by-step explanation:

What does it mean to restate using scientific notion

Answers

Restating into scientific notation means, making a super big or a super small number, more understandable to read. For example,

5,972,000,000,000,000,000,000,000.0012 is a big number. I don't think you even tried to read that. There is a solution to this problem. This is the exact number but in scientific notation. 5.972 × 10^24. Isn't that easier to read?

Solve for each unknown angle measure...


Please help! This a a test btw so please give me the right answer!​

Answers

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

f
Solve the equation + 22 = 17.
3

Answers

Answer: subtract 22 on both sides

Step-by-step explanation:

Now you would have -5 to solve take 3 and multiply on both sides to get f=-15

Hope this helps

Answer: -5

Step-by-step explanation:

Can someone help me please because I really don’t understand

Answers

Answer:

All skelts have at least one right angle.

Step-by-step explanation:

All skelts have 5 sides. (false, one have 6 sides)

All skelts are convex figures = outline curved like the exterior of a circle (false, none of them have curvy outline like a circle)

All skelts have an odd number of sides. (false, one have 6 sides, which is an even number)

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 9 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration Is 3 m/s? What is the mass of this
object?


Answers

Answer:

Constant Force F= ?

A= 5m/s²

M=9kg

According to the Question

A

[tex] \alpha [/tex]

1/m

A=F/m

So F=ma

F=5×9

F=45N

we look for m using the formula A=F/m

m=F/A

where A=3

F=45

M=?

So M=45/3

M=15kg

Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find the median.

Round to the nearest TENTH.

Answers

Answer:

70

Step-by-step explanation:

First put it to least to greatest- 64, 64, 66, 67, 70, 75, 80

Then find the median which is the number in the middle

Round it so it gives us are answer of 70

What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.

Answers

Answer:

I think it's A but I'm not sure

A circle has a diameter of 12cm. Find the arc length if the central angle is 37°.
Round to the nearest tenth.

Answers

Answer:

40

Step-by-step explanation:

37 is greater than five and the next number with a zero would be 40

Solve for x. 3(x+2)=2(2-x)

Answers

Answer: -2/5

1. Multiply out like using distributive property

3x+6 = 4-2x

2. Now just simplify

5x+6=4

5x=-2

x=-2/5

Answer:

Heyaa!!! Im Pinky! Im here to inform you that your answer is....

Step-by-step explanation:

               

                   

                       

1st. We need to Distribute:  

      3(+2)=2(2−)

      3+6=2(2−)

Just like That!

2nd. We have to Rearrange terms:

    3+6=2(2−)

   3+6=2(−+2)

3rd. Distribute One Last Time:

       3+6=2(−+2)

      3+6= −2+4

4th. Simplify:

    3=−2−2

5th. Add 2 to both sides of the equation:

      3=−2−2

      3+2=−2−2+2

6th. Simplify:

    5=−2  

7th. Divide both sides of the equation by the same term:

       5=−2

      5/5 = -2/5

8th. Solve:

  x = -2/5

        Have an Amazing day!!

~Pinky~

Consider A TUV in the figure below.
The perpendicular bisectors of its sides are AD, BD, and CD. They meet at a single point D.
(In other words, D is the circumcenter of A TUV.)
Suppose CD= 36, BV=58, and UD = 60.
Find UV, VD, and TC.
Note that the figure is not drawn to scale.
U
V
UV - 10
D
VD = 0
TC -
Х
?

Answers

Answer:

Step-by-step explanation:

8

Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.

Answers

Answer:

4

Step-by-step explanation:

Helpppp plzzzzzzzzz !!!!!!

Answers

Answer:

the 3rd box

Step-by-step explanation:

Answer:

[tex]5^{-1}[/tex]

Step-by-step explanation:

5⁻⁴ ÷ 5³

Since they have the same base we can combine the exponents. Since we have a division sign, we add the exponents

5⁻⁴⁻³

5⁻¹


What is the total surface area of this cube?

Answers

Answer:

54 (also include units squared as the picture isn't clear)

Step-by-step explanation:

3×3=9 (area of square =l×b)

9×6= 54cm² (since a cube has 6 faces)


Help plzzzzz hurry

Answers

Answer:

-9, -5, -4.1, -4

[tex]\\q\leq -4[/tex]

Step-by-step explanation:

I think what you're missing here is that there is a negative sign in front of the q. This means that whatever number you put in for q will be multiplied by negative 1. Positive numbers will become negative, and negative numbers will become positive.

If you substitute 9 for q you will get [tex]-9\geq 4[/tex], which is clearly not true, because -9 is way less than 4.

For writing the equation you divide both sides by -1. When you do this however, you must flip the inequality sign

[tex]-q\geq 4\\q\leq -4[/tex]

the > sign turned into <, and the q and 4 switched signs.

Evaluate the expression for x^2×x^1 for x=9​

Answers

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7

Answers

Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

The braking ability of two types of automobiles was compared. Random samples of 64 auto mobiles were tested for each type. The recorded measurement was the distance required to stop when the brakes were applied at 40 miles per hour. The computed sample means and variances were as follows:
y¯¯¯1=118,y¯¯¯2=109 s21=102,s22=87
. Do the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles? Give the attained significance level.

Answers

Answer:

The data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

Step-by-step explanation:

Formulate the null and alternate hypothesis as

H0: u1= u2  against the claim Ha: u1≠ u2

The data given is

y`1=118,    y`2=109     s21=102,   s22=87

The test statistic used is t= y1`- y2`/ Sp√1/n1+ 1/n2

n1= n2= 64

And

Sp² = (n1-1) s12 + (n2-1) s22 / n1+n2-2

Sp² = 63*102+6*87/64+64-2

Sp² = 94.5

Sp= 9.7211

Putting the values in the test statistic

t= 118-108/9.7211√1/64+1/64

t= 5.237

Now finding the value of t at ∝=0.01 for two tailed test

t( 126,0.005)= ±2.6154

At alpha= 0.01  the null hypothesis is rejected.

Now finding the value of t at ∝=0.05 for two tailed test

t( 126,0.025)= ±1.979

Even at alpha= 0.05 the null hypothesis is rejected.

Also at alpha= 0.05 the null hypothesis is rejected because the critical value is  ±1.657

Hence it is concluded that the data provide sufficient evidence to indicate a difference in the mean stopping distances of the two types of automobiles

I need help to find the value of X?

Answers

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

HELP!! 5) Which number is IRRATIONAL?

A) V9

B) V27

C) V36

D) V81

Answers

I think it’s B) V27 i could me wrong


Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 19 years

Answers

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

What is the exponential regression equation for the data set?

yˆ=1.08⋅32.11x

yˆ=(1.08⋅32.11)x

yˆ=32.11⋅0.08x

yˆ=32.11⋅1.08x

Answers

Answer:

yˆ=32.11⋅1.08x

Step-by-step explanation:

just took the test

Option: A is the correct answer.

The quadratic regression equation for the data set is:

   A. y = 0.056x²+1.278x-0.886

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We are given a set of data value as:

        x                y

        3             3.45

        5              6.9

        6             8.79  

        8             12.91

        10            17.48

        12            22.49

        15            30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

y = 0.056x²+1.278x-0.886

                 

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FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.

Answers

Answer: 3 x 5²= 75

Step-by-step explanation:

How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75

Find the equation of the line below.
10
(4,8)
(1/2)
H10
10

Answers

Answer:

y=1/2x

Step-by-step explanation:

Find the y-int (0) and get the slope : 1/2.

Answer:

Letter B .................

5x+3x+2y+4y (simplify)

Answers

8x + 6y is your answer.

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

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