2 square root 32 - 5 square root 128

1 answer:

4 0

$2 \sqrt{32} -5 \sqrt{128} =2 \sqrt{16 \times 2} -5 \sqrt{64 \times 2} \\ =2 \times \sqrt{16} \times \sqrt{2} -2 \times \sqrt{64} \times \sqrt{2} \\ =2(4) \sqrt{2} -2(8) \sqrt{2} =8 \sqrt{2} -16 \sqrt{2} \\ =-8 \sqrt{2}$

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Step-by-step explanation:

There are 24 compact fluorescent lightbulbs in the box, of which:

8 are rated 13-watt

9 are rated 18-watt

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(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

There are 7 rated 23-watt among 23. There are no replacements(so the denominators in the multiplication decrease). Then can be chosen in different orders, so we have to permutate.

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