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2 years ago

Suppose that 10% of people own dogs. If you pick two people at random what is the probability that they both own a dog?

Mathematics

1 answer:

son4ous [18]2 years ago

5 0

Answer: probability 0.01 %

Step-by-step explanation:

P(A) = 10% = 10/100 = 0.10

pick two people -

= P(A).P(A)

= 0.10 times 0.10

= 0.01

probability = 0.01

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3 years ago

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How do I solve for x?

notka56 [123]

Solving:
$\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}$
Make the Least Common Multiple (2,3,6)
$2,3,6\:|2$
$1,3,3\:|3$
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Replace denominators and resolve:
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$\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}$
Cancel the dominators
$\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}$
$3(3+4x) + 2(5-x) = 29$
$9 + 12x + 10 - 2x = 29$
$12x - 2x = 29 - 9 - 10$
$10x = 20 - 10$
$10x = 10$
$x = \frac{10}{10}$
$\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark$

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3 years ago