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3 years ago

If M is the midpoint of segment CD with CM = 3x + 1 and MD = 8x - 24, find CD.

Mathematics

1 answer:

ra1l [238]3 years ago

8 0

X = 5 so that would mean if you plug it into both equations, segment CD would be 32 units long.

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Which strategy best explains how to solve this problem? Apples cost $1.25 per pound. Oranges cost $1.49 per pound. Krystal wants

ValentinkaMS [17]

The best strategy is to use the tables in this example. The tables will give an exact cost for an exact number of apples or oranges. You can then use these pieces of information to determine which number of apples and oranges will get you closest to $10.

The diagram strategy is not accurate based on the information.

The double bar graph is also not going to work because the two pieces of information are related, so you would not create a separate bar for the price and the number of apples.

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3 years ago

Randomly selecting four person committee consisting entirely of women from a pool of 12 men and 15 women. The event of selecting

marta [7]

Solution: We have to find the probability of randomly selecting four person committee consisting entirely of women from a pool of 12 men and 15 women.

The number of ways 4 women can be selected from 15 women is:

15C4 $=\binom{15}{4}=\frac{15!}{(15-4)!4!} =\frac{15!}{11! \times 4!} =\frac{15\times 14\times 13 \times 12\times11!}{11! \times 4\times 3 \times2 \times1}$

$=\frac{15\times14\times13\times12}{24} =1365$

The number of ways 4 persons can be selected from total 12+15 = 27 persons is:

27C4 $=\binom{27}{4}=\frac{27!}{(27-4)!4!}=\frac{27!}{23! \times 4!} =\frac{27\times26\times25\times24\times23!}{23! \times 4\times3\times2\times1}$

$=\frac{27\times26\times25\times24}{24} =17550$

Therefore, the probability of randomly selecting four person committee consisting entirely of women from a pool of 12 men and 15 women is:

$\frac{\binom{15}{4}}{\binom{27}{4}} =\frac{1365}{17550}=0.0778$

The event of selecting a woman and the event of selecting a woman the next time are dependent because the probability of selecting a woman at first draw is not same as the probability of selecting a woman at second draw.

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4 years ago

Read 2 more answers

A cube has a volume of 1/512 cubic meter.What is the length of each side of the cube?Explain your thinking.

Sonja [21]

The volume of a cube is equal to V = s^3.
Given a volume of 1/512, using the formula.
V = s^3
1/512 = s^3
s = cuberoot of 1/512
<span>s = 1/8 meter</span>

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3 years ago

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vovangra [49]

F^-1= positive or negative x square root

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3 years ago

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Shalnov [3]

Answer:

....

Step-by-step explanation:

so basically idk how to type it on a computer but 4 dots then under those four dots, 2 dots and a line under it

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3 years ago