Help please thanks in advance

Mathematics

1 answer:

astra-53 [7]3 years ago

5 0

You didn’t put any question or picture here its useless

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Please help! I know it's probably simple, but I don't understand...

kifflom [539]

For the reciprocal, you swap numerator and denominator.

a. The reciprocal of $\frac{\sqrt{2}}{2}$ is $\frac{2}{\sqrt{2}}$
To rationalize the irrational denominator, multiply numerator and denominator by the radical, then simplify.
$=\frac{2 \times \sqrt{2}}{\sqrt{2} \times \sqrt{2}} = \frac{2 \sqrt{2}}{2} = \sqrt{2}$

b. $\frac{-2}{\sqrt{3}} = \frac{-2 \sqrt{3}}{3}$

7 0

4 years ago

A bag contains 6 red marbles, 3 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probabi

ale4655 [162]

This is a 4 step problem.

Find the probability of drawing a green marble the first time

8 green marbles ÷ 17 total marbles

Next, we find the probability of drawing a green marble the second time

7 green marbles ÷ 16 total marbles

Find the probability of drawing a green marble the third time

6 green marbles ÷ 15 total marbles

We take away one from the total marbles and green marbles each time because we are finding the probability that we draw a green marble all three times

Last step:

Multiply all the probabilities

$\frac{8}{17}$ × $\frac{7}{16}$ × $\frac{6}{15}$