What two numbers multiply to 56 and add to - 18?

1 answer:

6 0

You can use prime factorization to figure this out.
<span>

4 x 14 = 56
4 + (14) = 18

Final answer: </span>4 and 14

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Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)

klasskru [66]

Answer:

(b) $\frac{7}{30}$

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05

In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.

In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

$P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}$

In the second ballot box there are 10 balls, 7 white and 3 yellow.

Then the probability of obtaining a white ball from the second ballot box is:

$P (W_{u_2}) = \frac{7}{10}$

We want to know the probability of obtaining a white ball in both urns. This is: P( $W_{u_1}$ and $W_{u_2}$ )

As the events are independent:

P( $W_{u_1}$ and $W_{u_2}$ ) = P ( $W_{u_1}$ ) * P ( $W_{u_2}$ )

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{1}{3}* \frac{7}{10}$

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{7}{30}$

Finally the correct option is (b) $\frac{7}{30}$

3 0

2 years ago

What is 33 percent of 400

Eduardwww [97]

<h2>QUESTION</h2>

What is 33% of 400?

<h2>ANSWER AND EXPLANATION</h2>

To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.

<h3>DECIMAL</h3>

To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.

$33 \% \rightarrow 0.33$

Now that you have your decimal, multiply by 400:

$0.33 \times 400 = 132$

ANSWER = 132

<h3>FRACTION</h3>

To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.

$33 \% \rightarrow \frac{33}{100}$