1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.
You might be interested in
What is the value of b in the equation (y)*
KonstantinChe [14]

Answer:

b = -6

Step-by-step explanation:

Apply the exponent rule that   \frac{1}{x^{n}} = x^{-n}

In this case, \frac{1}{y^{24}}  = y^{-24}

Set that equal to (y^{b})^{4}:

(y^{b})^{4} = y^{-24}

Apply the exponent rule that (x^{m})^{n} = x^{mn} so now you get:

y^{4b} = y^{-24}

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.

4b = -24

divide each side by 4 to get:

b = -6

6 0
3 years ago
How many solutions does 5x-y=2 5x-y=-2 have?
alekssr [168]

Answer:

No Solution.

Step-by-step explanation:

5x-y=2

5x-y=-2

-------------

-(5x-y)=-2

5x-y=-2

----------------

-5x+y=-2

5x-y=-2

-------------

0=-4

no solution

7 0
3 years ago
1. Marcus can type 40 words in half a minute. Rhys can type 100 words in one and a half minutes. Which student can type at a gre
Bingel [31]
If Marcus can type 40 words in half a minute, then 40 times 2 equals 80. 80 words a minute for Marcus. If Rhys can type 100 words in 1 1/2 minute, 100/ 1.5 = 66.66 and 80>66.66 so Marcus can type a greater rate of words per minute.
5 0
3 years ago
find the value of the trigonometric function sin (t) if sec t = -4/3 and the terminal side of angle t lies in quadrant II
kodGreya [7K]

Answer:

sin(t) =\frac{\sqrt{7}}{4}

Step-by-step explanation:

By definition we know that

sec(t) = \frac{1}{cos(t)}

and

cos ^ 2(t) = 1-sin ^ 2(t)

As sec(t) = -\frac{4}{3}

Then

sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}

Now square both sides of the equation:

cos^2(t) = (-\frac{3}{4})^2

cos^2(t) = \frac{9}{16}\\\\

1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}

In the second quadrant sin (t) is positive. Then we take the positive root

sin(t) =\sqrt{\frac{7}{16}}

sin(t) =\frac{\sqrt{7}}{4}

8 0
3 years ago
Convert to the given unit.
kondor19780726 [428]
Using the relation 1 in = 0.0277778 yd:

324 in * (0.0277778 yd) = 9 yd.

Among the choices, the correct answer would be A. 9 yd.
8 0
4 years ago
Other questions:
  • What is the distance from the Egypt river to Euphrates river
    7·1 answer
  • Greatest common factor in 8 and 14
    10·1 answer
  • How to convert 68.75% into a decimal in lowest form
    7·2 answers
  • I really need help with my take home test. The problem is f(x)=(x-7)/2, what is the value of (f°f^-1)(3). Really struggled with
    15·2 answers
  • A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
    14·2 answers
  • Find the value of x. If necessary, round to the nearest tenth.
    11·1 answer
  • PLEASE HELP GONNA FAIL WILL GIVE BRAINLESS
    14·1 answer
  • Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
    9·2 answers
  • When would you need to use a small standard deviation?
    10·1 answer
  • Can somebody help me?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!