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3 years ago

PLEASE HELP ME!

Mathematics

2 answers:

marysya [2.9K]3 years ago

8 0

Answer: A. $28.26\text{ units}^2$

Step-by-step explanation:

From the given figure , it can be seen that the distance from the center of the circle to its boundary is 3 units.

Then, Radius of circle = 3 units

Area of circle is given by :-

$A=\pi r^2$ , where r is the radius of the circle.

Put r = 3 and $\pi=3.14$ , we get

$A=(3.14) (3)^2=28.26\text{ units}^2$

Hence, the area of the given circle = $28.26\text{ units}^2$

alina1380 [7]3 years ago

5 0

The answer would be b

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$_{20} C _3=\frac{20!}{3!(20-3)!}=\frac{20!}{3! \times 17!}=\frac{17! \times 18 \times 19 \times 20}{6 \times 17!}=\frac{18 \times 19 \times 20}{6}=3 \times 19 \times 20= \\
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There are 6 yellow m&m's.
Calculate in how many ways you can choose 3 m&m's from 6:
$_6 C _3 = \frac{6!}{3!(6-3)!}=\frac{6!}{3! \times 3!}=\frac{3! \times 4 \times 5 \times 6}{3! \times 6}=\frac{4 \times 5 \times 6}{6}=4 \times 5=20$

The probability is the number of ways of choosing 3 m&m's from 6 m&m's divided by the number of ways of choosing 3 m&m's from 20 m&m's.
$P=
\frac{20}{1140}=\frac{20 \div 20}{1140 \div 20}=\frac{1}{57}$

The probability is 1/57.

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