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Svetlanka [38]
3 years ago
6

A basketball team has 8 players. In how many different ways can the coach select 2 players to be the captains for tonight's game

? A.16. B.28. C.56. D.64
Mathematics
2 answers:
Basile [38]3 years ago
3 0
Since the problem is not concerned about the order of choosing the captain, the concept used is the combination. From 8 players, 2 are to be chosen,
                                  8C2 
The numerical value of the combination is 28. Thus, the answer is letter B. 
soldier1979 [14.2K]3 years ago
3 0
<h2>Answer:</h2>

Option: B is the correct answer.

                   B.  28

<h2>Step-by-step explanation:</h2>

It is given that the total number of players in a basketball team are: 8

Now in order to select two players out of the total 8 players we need to use the method of combination since the objective is just to chose them and not to arrange.

Hence, the number of ways of doing so is calculated as:

                    8_C_2

which is solved as:

8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\\\8_C_2=\dfrac{8\times 7\times 6!}{2\times 6!}\\\\\\8_C_2=\dfrac{8\times 7}{2}\\\\\\8_C_2=28

Hence, the number of ways of doing so is:

                             28

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Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?
Svetach [21]

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ

6 0
2 years ago
A circle mirror has a diameter of 12 inches.<br> What is the area,in square inches, of the mirror?
12345 [234]
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radius=diameter/2
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pi times r&+^2
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5 0
3 years ago
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4 -cup measuring cup.
Allisa [31]
(1/2) / (1/4) =
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7 0
3 years ago
What percentage of the people liked Rocky the most ?
Ede4ka [16]

Answer:

15%

Step-by-step explanation:

The amount of people who likes Titanic is 25%, because there are 360° in a circle and 90° is used for Titanic. Hence

\frac{90}{360}  =  \frac{25}{100}

To find the percentage of people who liked Rocky the most, we subtract the rest from the total (100%)

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7 0
3 years ago
Solve for m 0.6m +3=2m+0.2
DaniilM [7]
So in equations you want to do the same thing to both sides so that the equation will stay equal

when dealing with one unknown number (m) try to get them all on the same side

0.6m+3=2m+0.2
I usually like positive unknowns so
subtract 0.6m from both sides
3=1.4m+0.2
subtract 0.2 from both sides
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divide both sides by 1.4
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if dividing by decimals move the decimal either round the decimals up or down then divide. or multiply them by the 10 to the same power then divide.

x=2
7 0
3 years ago
Read 2 more answers
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