In how many different ways can a ski club consisting of 15 people selected a team for national championship? There are 4 spots available on the team going to national championship.

Answers

Answer 1

Answer:

Step-by-step explanation:

Combination has to selection. When selecting 4 people out of a pool of  15 people, this can be done as thus according to combination formuka:

15C4 = 15!/(15-4)!4!

15C4 = 15!/11!4!

15C4 = 15*14*13*12*11!/11!*4*3*2

15C4 =  15*14*13*12/24

15C4 = 32760/24

15C4 = 1365 different ways.

Hence this can be done in 1365 different ways


Related Questions

Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)

Answers

Answer:

-3 = -12

Step-by-step explanation:

Have a great day

I hope that is the answer you are looking for :)

over a two hours time period, a snail moved 108 inches . how far is this in yards?​

Answers

Answer:3 yards

Step-by-step explanation:

36 inches equals a yard so 36 Multiplied by 3 is 108 Therefore 3 yards

Two trains leave a station, one headed due west and the other headed due south. How fast is the southern bound train moving if the west bound train is 15 miles from the station traveling at a constant speed of 35 mph, the distance between the trains is 24 miles, and the distance between them is increasing at a rate of 25 mph.

Answers

Answer:

dx/dt = 4 mph

Step-by-step explanation:

The two trains, with the station ( origin of the coordinates system) all, form a right triangle when we considered the distance between the two trains.

In that triangle:

distance between trains  D = 24 miles

leg (1 ) distance of train going west to origin  y = 15 miles

leg (2) distance of train going south x = ??

When d = 24 and y = 15

D² = y² + x²      ⇒   x² = D² - y²

x = √ (24)² - (15)²

x = √351

x = 18,73 miles

Now according to Pythagoras theorem

D² = x² + y²

Taking derivatives (respect to time) on both sides of the equation we get

2*D*dD/dt = 2*y*dy/dt  + 2*x*dx/dt

In this expression we are looking for dx/dt, all the rest of variables are known

2*24*25 = 2* 15*35  +  2*(18,73)* dx/dt

(1200 - 1050 )/37,46 = dx/dt

dx/dt = 4 mph

|x |-8= -5
what's the answer​

Answers

Answer:

|x |-7 = -5     ( x = -3 )

Step-by-step explanation:

3 :::::::::::::::::::

A square is removed from the right hand corner

Answers

Answer:

C im pretty sure

Step-by-step explanation:

Because the square taken out has a 4x4 area which is 16 and the area of the whole square used to be 14x14 which is 196 and if u subtract 16 from that you get 180

Kerry takes up a delivery consignment. He delivers a few packages and one-fourth of
the packages remains in the truck. This excludes 5 packages that were returned. If
the truck contains 65 packages now, how many packages were there in Kerry's
original consignment?

Answers

Answer:

multiply 65 by 5 and divide by 1 fourth

Step-by-step explanation:

2.685
x 102
Expanded form

Answers

Answer:

2.685 + 2.685 + 2.685 + 2.685 + 2.685 + 2.685. . . . . 102 times.

Step-by-step explanation:

Think of this as 102 times of 2.685.

So you would add 2.685 together 102 times.

(I didn't want to type out 2.685 that many times)

Hope I helped :)

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What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
O A. The slope of the line is
(Type an integer or a simplified fraction.)
O B. The slope of the line is undefined.

Answers

[tex]\tt Step-by-step~explanation:[/tex]

Slope = rise/run

[tex]\tt Steps:[/tex]

Rise: The line travels 5 units vertically (up) from the first point to the second.

Run: The line goes 6 units horizontally (left) from the first point to the second.

Slope = rise/run; Slope = 5/6

[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]

Answer:

Slope = rise/run

Step-by-step explanation:

The monthly cost of running a small business consists of retail space rental at $2400, wages at $1800 and utilities at $480. If the retail space rental and wages are decreased by 5% and 6% respectively, while utilities are increased by 7%, find the percentage increase or decrease in the monthly cost of running the business.

Answers

Answer:

5.8%

Step-by-step explanation:

For the business,

retail space rental = $2400

wages = $1800

utilities = $480

Total running cost = $4680

But,

retail space rental decreased by 5%, so that;

5% of $2400 = 0.05 x $2400 = $125

The new retail space rental = $2400 - $125

                                             = $2275

wages decreased by 6%, so that;

6% of $1800 = 0.06 x $1800 = $108

The new wages = $1800 - $108

                           = $1620

Utilities increased by 7%, so that;

7% of $480 = 0.07 x $480 = $33.6

The new amount on utilities = $480 + $33.6

                                               = $513.6

New total running cost = $2275 + $1620 + $513.6

                             = $4408.6

The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%

                                    = [tex]\frac{271.4}{4680}[/tex] x 100%

                                   = 5.8%

The sum 51 + (-37) is equal to what? -14 88 88 14

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 and it's postive

Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.

Answers

Answer:

-Equations:

AA=75+2x

AA=75+2x

-Company A would be cheaper.

Step-by-step explanation:

-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

AA=75+2x

AA=75+2(45)

AA=75+90

AA=165

-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

BB=35+3x

BB=35+3(45)

BB=35+135

BB=170

According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.

List 5 significant advances in architecture Eastern Indians made

Answers

Answer:

Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.

Step-by-step explanation:

Which complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i)

Answers

Answer: -4 - 32i                  

i just took this test

The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

The given expression is (2+i)(8-3i)-(23+34i).

What is a complex number?

A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.

Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.

That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)

Now, 2i+11-23-34i=-32i-12

Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.

To learn more about the complex numbers visit:

https://brainly.com/question/28007020.

#SPJ2

What is the multiplicative identity of the complex number –4 + 8i

Answers

the complex number-4 + 8i is 1

Answer:

B, 1

Step-by-step explanation:

EDGE 2020

During the 2011-12 NBA season, LeBron James had an average of 30.3 points per game. The mean and standard deviation for the league were 7.65 points per game and 6.64 points per game, respectively. That same season the WNBA was led by Diana Taurasi who averaged 21.6 points per game. The mean and standard deviation for the entire WNBA that year were 8.13 points per game and 4.77 points per game, respectively. Who had the more remarkable performance compared to the rest of their league

Answers

Answer:

LeBron James had the more remarkable season

Step-by-step explanation:

Given that:

LeBron James:

Average point per Game = 30.3

Mean of the league (m) = 7.65

Standard deviation (s) = 6.64

WNBA:

Taurasi:

Average point = 21.6

Mean = 8.13

Standard deviation =4.77

Taking the Zscore for each:

LeBron :

Zscore = (x - m) / s

Zscore = (30.3 - 7.65) / 6.64

Zscore = 22.65 / 6.64 = 3.411

P(z < 3.411) = 0.99968

Taurasi :

Zscore = (x - m) / s

Zscore = (21.6 - 8.13) / 4.77

Zscore = 13.47 / 4.77

Zscore = 2.82

P( Z < 2.82) = 0.9976

LeBron's average has more standard deviations above the mean than Taurasi

Please help me............

Answers

Answer:

85°

Step-by-step explanation:

180° - (67°+28°) =p

180°- 95° = p

P = 85°

What is the reciprocal of 4/12?​

Answers

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

Answer:

12/4 = 3/1 = 3

Step-by-step explanation:

To find the reciprocal of a fraction, flip it.

The reciprocal of 4/12 is 12/4 which reduces to 3.

Solve for x: 4/9 x + 36 = 1/3

Answers

Answer:

x = -321/4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

PLEASE ANSWER IMMEDIATELY!!!

Answers

Answer:

C.

Step-by-step explanation:

Point lines A and B are pointed in the same each direction.

Point line straight C and G.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

B and C

Step-by-step explanation:

Both do not intersect AB and are not parralel to AB.

Plz answer fast! Thank you to whoever answers❤️

Answers

sunday she ran the fastest
Answer: Sunday that’s the answer I believe

evaluate. express your answer in simplest form. 7/9 - 2/8 x 4/9
A 20/9
B 5/9
C 2/3
D 48/72

Answers

Answer:

2/3

Step-by-step explanation:

[tex] \frac{7}{9} - \frac{2}{8} \times \frac{4}{9} \\after \: simlifying \\ \frac{7}{9} - \frac{1}{9} = \frac{6}{9} = \frac{2}{3} [/tex]

the nth term of a sequence is 20-n^2
a) find the third term of the sequence
b) which term in the sequence is the first to have a negative value ​

Answers

Answer:

a) 20 - 3^2 = 11

b) 5th, 20 - 5^2 = -5

Step-by-step explanation:

The answer assumes your terms begin at 1. If the terms begin at zero

a) 16

b) 6th term

if you chose to be extremely technical you would take the square root of 20.1 or 20.00000009 but I'm assuming they want whole numbers

Answer:

a)11

b)5th term

Step-by-step explanation:

Help!!!!!!! solve the inequality

Answers

Answer:

25≥ w

i dont have the inquality sign

Step-by-step explanation:

multiply both sides by 5/4

A coin is biased such that a is times as likely to occur as a tail. Find the expected number of when this coin is tossed twice.

Answers

Complete question:

A coin is biased such that a head is three times as likely to occur as a tail. Find the expected number of tails when this coin is tossed twice.

Answer:

1/2

Step-by-step explanation:

Head is 3 times as likely to occur as tail;

Hence,

Sample space for 2 tosses :

{HH, HH, HH, HH, HH, HH, HH, HH, HH, HT, HT, HT, HT, HT, HT, TT}

Expected probability (E(x)) = Σx*p(x)

P(x) = required outcome / Total possible outcomes

x : __________ 0 ______ 1 _______ 2

p(x) : ________9/16_____6/16_____1/16

Σx*p(x) : 0(9/16) + 1(6/16) + 2(1/16)

= 0 + 6/16 + 2/16

= 0 + 3/8 + 1/8

= 4/8

= 1/2

The correct Standard Form of the equation y=−2/7x−11/7:

Answers

Answer:

y=-(2)/(7)x-5

Step-by-step explanation:

Is this a function or not a function? (Picture)

Answers

Answer:

Not a Function

Step-by-step explanation:




Which travels faster: a car that travels 6 miles in 10 minutes at a constant speed, or a train that travels 6 miles in 8 minutes at a constant speed? Explain how
you

Answers

Answer: 29 :)

Step-by-step explanation:

the polynomial p(x) has factors of x-5 and x-8. Which must be correct ?

Answers

Answer:

Find an answer to your question The polynomial p(x) has factors of x – 5 and x + 8. Which MUST be correct?

Step-by-step explanation:

If x – a is indeed a factor of p(x), then the remainder after division by x – a will be ... the polynomial (courtesy of the Remainder Theorem), but x – a is also a factor ... completed division: 2 2 5 0 7 ... x + 4 is a factor of 5x4 + 16x3 – 15x2 + 8x + 16.

4 x 12 = 6 x n.

4
6
8
12

Answers

Answer:

The answer is 8

Step-by-step explanation:

Because 4x12 is 48 and so is 6x8

Answer:

C. 8

Step-by-step explanation:

4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)

Multiply 4 ⋅ 12.

48 = 6n

Divide both sides by 6

n = 8

Hope I helped :)

Please consider Brainliest :)

Can someone help me answer these please?

Answers

G and c map to -3,-1

Answer: I think that the person above me is right so you should mark her/him brainliest.

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