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KengaRu [80]
3 years ago
7

Twelve girls try out for the hockey team. Two play goal, four play defence, and the rest play forward. How many different starti

ng lineups could the coach choose if she needs 1 goalie, 2 defence, and 3 forwards?
Mathematics
1 answer:
Leto [7]3 years ago
4 0
There are 2 choices for 1 goalie, 4C2 possible combinations for the 2 defence and 6C3 combinations for the 3 forward. Therefore the total number of different lineups is found from:
2\times4C2\times6C3=240
There are 240 possible different lineups.
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Please help and answer
Lubov Fominskaja [6]

Answer:

so the answer is B,D,E,F

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3 years ago
Help with 19,20,21,23 please i don't understand geometry at all
Murrr4er [49]
19.  What you know is that HK+KJ = HJ.  If HJ = 25, the sum of the two equations will equal this length.  

x-5+5x-12=25  First, combine your like terms.  You will end up with 6x-17=25.  Add the opposite of -17 to both sides.  6x = 42  Divide both sides by 6.  x = 7.  Substitute x=7 for your original expression of x-5, 7-5=2

20.  (5x-6)/2 = x+6  Multiply each side by 2.  5x-6 = 2x +12  Add 6 to each side 5x = 2x + 18 then subtract 2x from both sides as well.  3x = 18 Finally divide each side by 3.  x=6   To find the length of the remaining segment, substitute this value into (5x-6)/2.  This results in each side equaling a distance of 12.

21.  On the number line, the distance of FG is 16 units.  If the distance of FP is 1/4 of FG, you would simply divide 16 by 4.  The distance of FP is 4 and P lies at 8 on your number line.

23. The distance of SP is x+4 and ST=4x.  Since P is the midpoint, you only have one half of the line as x+4, if you were to double it, you would find that 2x+8 = 4x.  Balance and solve for x, subtract 2x from both sides. 8=2x  Divide each side by 4, 8/4 = 4x/4 resulting in x=2.  If ST equals 4x, substitute and solve, 4(2) = 8
8 0
3 years ago
Una bolsa contiene 4 canicas azules, 4 canicas rojas y 4 canicas verdes. Sacas aleatoriamente una canica y luego otra (sin reemp
sveticcg [70]

Answer:

la probabilidad es 1/11

Step-by-step explanation:

Hay 4+4+4 = 12 canicas en total en la bolsa.

Pues la posibilidad de sacar una canica azul en el principio es 4/12 o 1/3.

Y luego, no reemplaces la canica, y hay 11 canicas en total.

Por eso la posibilidad de sacar otra canica azul después es 3/11.

Son eventos independientes, y tenemos que multiplicarlos para tener la respuesta.

1/3 * 3/11 = 1/11

8 0
3 years ago
Read 2 more answers
A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
kifflom [539]

Answer:

p(x) = -0.01x + 15

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

(x_1,p_1) = (500,10)

A reduction of 50c gives an increment of 50 tickets.

This gives:

(x_2,p_2) = (500+50,10-0,5) ---- 50c = \$0.5

(x_2,p_2) = (550,9.5)

Required

Determine the demand function

First, calculate the slope:

m = \frac{p_2 - p_1}{x_2 - x_1}

m = \frac{9.5 - 10}{550-500}

m = \frac{-0.5}{50}

m = -0.01

So, the equation is:

p = m(x - x_1) + y_1

p = -0.01(x - 500) +10

p = -0.01x + 5 +10

p = -0.01x + 15

Hence, the function is:

p(x) = -0.01x + 15

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