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Afina-wow [57]
3 years ago
8

A box contains 6 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen

at random. What is the probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.

please help :(
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer: The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

Step-by-step explanation:

What is the probability of choosing a pen from the first box? It is 5/8.

 

What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

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Substitute both f(x) and g(x) in.

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Évaluate/Combine like terms.

\large{f(x)  + g(x) = 2 {x}^{2}  - 2x - 2}

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

\large{(f + g)(x) = 2 {x}^{2}  -2x -2}

<u>Alternative</u>

\large{(f + g)(x) = 2({x}^{2}  -x - 1)}

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  • (f+g)(x) = 2x²-2x-2
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Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

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