What two numbers multiply to get -140 but add to get -4

1 answer:

4 0

In order to get -140, one number has to be negative and one number has to be positive. And these two numbers when added together give you a -4, which means the greater of these numbers has to be negative.

Try guess and check strategy by listing possible factor combinations for -140 and see which one works!

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$\begin{array}{cccccc}X&0&1&2&3&4\\Pr&\dfrac{1}{16}&\dfrac{1}{4}&\dfrac{3}{8}&\dfrac{1}{4}&\dfrac{1}{16}\end{array}$

Step-by-step explanation:

A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible outcomes: BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG.

Let X represent the number of children that are girls. Then

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$Pr(X=0)=\dfrac{1}{16}$