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lesya692 [45]
2 years ago
7

How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Mathematics
1 answer:
Marina86 [1]2 years ago
7 0
A group of k elements can be chosen from a group of n elements in \frac{n!}{k!(n-k)!} ways.

(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495

The answer is B. 495.
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Help me please if you can
tekilochka [14]

Answer:

<D=<J

Step-by-step explanation:

The first answer is the only correct statement. In geometry, congruent angles are shown through the number of arcs on the vertex of an angle. For example, if two different angles both had three arcs on the vertex, then those two angles are congruent. In this figure, both <D and <J have 4 arcs, which means they are congruent. Additionally, both angles are opposite of a line that measures 25 inches. If two angles are opposite of congruent lines, then the angles are also congruent.

3 0
2 years ago
$3000 deposit that earns 6% annual interest compounded quarterly ​
Lostsunrise [7]
Your interest would be $184.9 for 1 year so your total amount would be $3184.09
7 0
3 years ago
Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph
nadya68 [22]

Answer:

D) 360

Step-by-step explanation:

The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.

We can write a linear function to model this situation.

This will be of the form

y = mx

because it passes through the origin , where m is the slope.

The slope is

m =  \frac{12 - 0}{1 - 0}  = 12

Hence the equation is

y = 12x

To find the number of likes on the 30th day, we put x=30 into the equation to get:

y = 12 \times 30 = 360

The correct choice is D

5 0
2 years ago
A printer prints 75 pages in 5 minutes. At the same rate, how many pages does the printer print in 7 minutes? Solve and show you
Bingel [31]

Answer:

105

Step-by-step explanation:

first, the printer print 15  (75/5) pages per minutes,

next, 7×15=105

8 0
3 years ago
Neeeeed helpppppp please
MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = \frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}

                    = \frac{\text{Length of CD}}{\text{Length of GH}}

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                       = \sqrt{(-7-0)^2+(0+7)^2}

                       = \sqrt{98}

                       = 7\sqrt{2}

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = \sqrt{(-1-0)^2+(0+1)^2}

                       = \sqrt{2}

Scale factor = \frac{7\sqrt{2} }{\sqrt{2} }

                    = 7

6 0
3 years ago
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