100 POINTS!! NEED ANSWER WITH WORK ASAP!!
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
How many different groups of three players are possible for Coach Bennet to select?

100 POINTS!! NEED ANSWER WITH WORK ASAP!!Coach Bennets High School Basketball Team Has 14 Players, Consisting

Answers

Answer 1

Answer:

See below ~

Step-by-step explanation:

This is a combination because the order in which the players are selected is not important.

Number of ways

14! / 11! 3!14 x 13 x 12 x 11! / 11! x 3 x 214 x 13 x 2364 ways
Answer 2

Apply combination

[tex]\\ \rm\Rrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So

[tex]\\ \rm\Rrightarrow ^{14}C_3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14!}{3!(14-3)!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11!)}{3!11!}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{14(13)(12)(11)}{6}[/tex]

[tex]\\ \rm\Rrightarrow 14(13)(2)(11)[/tex]

[tex]\\ \rm\Rrightarrow 4004[/tex]


Related Questions

If r is directly proportional to the
square of s and r = 72 when
= 12, find r when s = 8.?

Answers

Answer:

r2=48

Step-by-step explanation:

r1=72

s1=12

s2=8

[tex]r \alpha s \\ \frac{r1}{s1} = \frac{r2}{s2} \\ \frac{72}{12} = \frac{r2}{8} \\ r2 = 8 \times \frac{72}{12} = 48[/tex]

what is the greatest common factor of 25,65 and 100

Answers

Answer:

5

Step-by-step explanation:

List out the factors of each number (25,65,100) and get the largest common number which is 5 in this case.

Answer:

Five

Step-by-step explanation:

Prime factorize the three of them to find the answer

25 = 5 x 5

65 = 5 x 13

100 = 5 x 5 x 2 x 2  

The volume of a cone is 735 pi cubic millimeters and the height is 5 millimeters. What is the radius of the cone.

Answers

Answer:

7 mm

Step-by-step explanation:

735pi=1/3*5*pi*r^2

735pi/1/3pi

147=5*r^2

49=r

If you have any questions please comment them!

Need help with this quick.

Answers

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

What is Trapezium?

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:

KL is parallel to JM∠J is supplementary ∠K∠J is congruent to ∠M (Valid only for isoceles trapezium).

Hence, the option that is true for the trapezium is A, D, and E.

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Helpppp pleaseeeeeeee

Answers

A compound event is where there are more than 1 ways of something happening. A coin only has 1 head so therefore it is not a compound event.
Hope that helps

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000
(pie symbol) in3
. One day, her
3
sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is
completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa scoop out
of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must she scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
WORTH 20 POINTS

Answers

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Your company obtains a score of 105 out of 115 on a customer satisfaction
survey. What was the percentage score obtained on the survey by the company?
(1) 94,25%;
(2) 109,52%;
(3) 91,30%;
(4) 95,24%.

Answers

Answer:

(3)

Step-by-step explanation:

Simply divide 105/115

Answer:

(3)  91.30%

Step-by-step explanation:

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

[tex]\begin{aligned}\implies \sf Percentage\:score & = \sf \left(\dfrac{105}{115}\right) \times 100\\& = \sf 0.91304347...\times 100\\& = \sf 91.30\%\:(nearest\:hundredth)\end{aligned}[/tex]

Find the volume. Show work!!

Answers

Step-by-step explanation:

this is a combined object :

there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.

so, we need to calculate the volume of both parts and add them for the total volume.

the volume of the block is, as mentioned :

21 × 21 × 17 (length×width×height) = 7,497 ft³

the volume of a pyramid is

length×width×height/3

which is in our case

21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³

so, the total volume is

7,497 + 1,323 = 8,820 ft³

help please i really need help asap

Answers

Answer:

answer is 60

Step-by-step explanation:

80+40+y=180 reason (co-interior angles supplementary)

y=180-80-40

y=60

please solve the equation: -2x(-3x2^y)(2y)=?

Answers

Answer:

6x^2yx2^1+y

Step-by-step explanation:

i need help with a math problem

Answers

Answer:

52 square meters

Step-by-step explanation:

» Concepts

The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.

» Application

We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!

» Solution

[tex]2(3*4+2*4+2*3)[/tex] [tex]2(12+8+6)[/tex] [tex]2(26)[/tex] [tex]52[/tex]

Is 6 pints and 60 fluid ounces greater than, less than, or equal to? Explain.

Answers

If it doesn’t equal two one gallon it would be greater than. So it’s less than.

Is the sequence 2, 4, 8, 16, ... arithmetic? If so, find the common difference.

Answers

Answer:

First of all it's a geometric sequence and it is multiplying 2 every time

Step-by-step explanation:

2*2=4

4*2=8

8*2=16

Which phrase is the best description of a scatter plot in which the variables are correlated with r = 0.16?
O weak negative correlation
O weak positive correlation
O strong negative correlation
O strong positive correlation

Answers

Answer:

C.) Strong negative correlation

Step-by-step explanation:

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years

Answers

6500 because if you take 3% of 5000 you get 150, so that’s 150 more people in the population per year. So you multiply 150 times 10 and you get 1500 and then you add your 5000 and get 6500.

The population at the end of the 10 years is 6,500.

Given that,

A town with a population of 5,000 grows 3% per year.

We need to find the population at the end of 10 years.

Based on the above information, the calculation is as follows:

= 5,000 + 1,500

= 6,500

Therefore we can conclude that the population at the end of the 10 years is 6,500.

Find the minimum value of the function f(x) = 1.5x2 + 10x + 12 to the nearest
hundredth.

Answers

Answer:

-14/3

Step-by-step explanation:

Use derivative = 0 to find turning point(S)

D f(x) = 3x + 10 = 0

3x = - 10

X = - 10/3

When X = - 10/3

F(x) = 1.5(10/3)^2 - 10(10/3) + 12

= (3*10*10) / (2*3*3) - 100/3 +12

= 50/3 - 100/3 + 36/3

= - 14/3

Plsss I need it urgently!!!

Answers

Answer:

x = 7

y = 37

Step-by-step explanation:

congruent triangle LMN == PQR

Angle NLM = Angle RPQ

3x + 24 = 7x - 4

28 = 4x

x = 7

Angle LNM = Angle PRQ

2x + y = 180 - 84 - (7x - 4)

14 + y = 96 - (49 - 4)

14 + y = 51

y = 37

check answer

Angle LNM = 14 + 37 = 51

Angle NLM = 21 + 24 = 45

Angle LMN = 84

3 angles get a sum of 180

can someone please help me please

Answers

Answer:

1. 48

2. 4

3. 12

Step-by-step explanation:

1) 17
2) 4
3) 12
These are the answers

A rectangular garden is 5ft longer than it is wide. It’s area is 6800ft2. What are its dimensions

Answers

Answer:

Width = 80 ft and length = 85 ft.

Step-by-step explanation:

Let the width be x ft then the length is x+5 ft.

width * length = area, so

x * (x + 5) = 6800

x^2 + 5x - 6800 = 0

( x - 80)(x + 85) = 0

x = 80, -85

We ignore the negative so x = 80 ft.

Width = 80 and length = 80+5 = 85 ft.

find the diameter of the object

Answers

Answer:

4

Step-by-step explanation:

The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in  the circle, to one directly across)

In this case, the radius is 2.

So, 2 x 2 = 4.

The diameter is 4.

Answer:-

4 in

Explanation:-

The diameter of a circle is twice its radius. Here the given radius is 2 in.

So diameter = 2 in × 2 in = 4 in

______________

Radius = Diameter/2

Diameter = Radius × Radius

A box contains several of Mrs. Spencer's new pamphlets. The box weighs 2,000 grams. This chart shows the effect of
adding a pamphlet
Pamphlets Added to the box (x) Effect on the Box's Weight, in grams (1)
0
0
1
6
2
12
3
18
Which statement is true about a proportional relationship such as the one illustrated in this table?
o As the value of x decreases. Increases.
As the value of x increases, y increases
The unit rate that describes the relationship of y to x is 3.
Weight is the independent variable, and the number of pamphlets is the dependent variable

Answers

Answer: 20,042

Step-by-step explanation: addion

1/2x +4y=-4 and 3y=0.25x-8

Answers

Answer:

because 9 I 5x1 *

Step-by-step explanation:

do multiply 5 *1

PLEASE HELP
Write an equation for the function graphed above.

Answers

The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

How to determine the equation of the graph?

The graph is a secant graph, and it has the following form

[tex]y = a\sec(bx) + c[/tex]


From the graph, we have the following parameters:

Local minimum = 5 i.e. the minimum y value in the upper quadrantsLocal maximum = -1 i.e. the maximum y value in the lower quadrantTime, T = 6 i.e. the difference between corresponding points on the curve

The amplitude (a) is calculated using:

a = 0.5 *(Local minimum - Local maximum)

a = 0.5 *(5 + 1) = 3

The vertical shift (c) is calculated using:

a = 0.5 *(Local minimum + Local maximum)

a = 0.5 *(5 - 1) = 2

The period (b) is calculated using:

[tex]b = \frac{2\pi}{T}[/tex]

This gives

[tex]b = \frac{2\pi}{6}[/tex]

Evaluate

[tex]b = \frac{\pi}{3}[/tex]

Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]

[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

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The solution set for the equation of a circle is all the_____ on the circle.

Answers

The answer to your question is ( points ).

There are 30 dogs staying in some boarding kennels.
12 of the dogs are brown.
What fraction of the dogs in the boarding kennels are not brown?

Answers

Answer: 3/5 or 18/30

Step-by-step explanation: You have to find how many in total are not brown, which is 30 - 12 = 18

18/30 are not brown, or simplified is 3/5

what expression is equivalent to -7(y-2)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex] \sf - 7(y - 2)[/tex]

[tex] \sf - (7 \cdot y) -(7 \cdot 2)[/tex]

[tex] \sf - 7 y-( - 14)[/tex]

[tex] \sf - 7 y + 14[/tex]

The equivalent expression will be ~

[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]

Please calculate the size of Č please.​

Answers

Edit: It seems you want to find the measure of the angle at vertex C.

Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then

x • y = ||x|| ||y|| cos(γ)

Translating these vectors so that they start at the origin O, we get

C to B : x = (-2, 2) - (6, -2) = (-8, 4)

C to A : y = (6, 4) - (6, -2) = (0, 6)

Compute the dot product of x and y :

x • y = (-8, 4) • (0, 6) = 24

Compute their magnitudes:

||x|| = √((-8)² + 4²) = 4√5

||y|| = √(0² + 6²) = 6

Solve for γ :

cos(γ) = (x • y) / (||x|| ||y||)

cos(γ) = 24/(24√5)

cos(γ) = 1/√5

γ = arccos(1/√5) ≈ 63.4349°

Which expression represents the perimeter, in units, of this trapezoid? (45 points)

Answers

Answer:

A.  7x + 3

Step-by-step explanation:

The perimeter of a 2D shape is the distance all the way around the outside.

⇒ perimeter = (2x + 1) + (x + 1) + (3x - 1) + (x + 2)

                     = 2x + 1 + x + 1 + 3x - 1 + x + 2

                     = 2x + x + 3x + x + 1 + 1 - 1 + 2

                     = 7x + 3

A certain population has been shown to have a 2% annual growth rate. The
initial population is 75,000. What will the population be after 10 years

Answers

Answer:

The population after 10 years will be 90,000.

Explanation:

2% of 75,000 is 1,500

the population will grow by 1,500 each year.

so 1,500 times 10 is 15,000

so than we add 75,000 + 15,000

we get the answer of 90,000.

Please mark me brainliest. Thank you.

Answer:

91425 population

Step-by-step explanation:

2% = .02    10 years    75 000 start

75 000 (1+.02)^10 = 91425

Jennifer is flying a kite. She is looking up at the kite at an angle of elevation of 39º. If the hand that is holding the kite string is 5.5 feet above the ground, what is the kite's vertical distance from the ground ?

Answers

See attachment for answer.

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