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professor190 [17]

3 years ago

13

The area of a square mirror is 256 in2. A rectangular mirror has a width the same as the square mirror's width. Its length is tw

o inches longer than its width. What is the area of the rectangular mirror?

2 answers:

aliina [53]3 years ago

7 0

256 in2 = s2
sqrt(256) = 16 → side length = 16
rectangle width = 16, length = 16+2 → 18
18 x 16 = 288 in2

larisa86 [58]3 years ago

6 0

288 in squared

hope it helped!!!

lol

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neonofarm [45]

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Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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In this problem

The electonic product contains 40 integrated circuits, so $n = 40$ .

The probability that any integrated circuit is defective is 0.01, so $\pi = 0.01$

What is the probability that there is at least one defective integrated circuit?

Either there is at least one defective integrated circuit, that is probability $P(X > 0)$ , or there are no defective integrated circuits, that is probability $P(X = 0)$ . The sum of these probabilities is decimal 1. We want to find $P(X>0)$ .

$P(X > 0) + P(X = 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{40,0}.(0.01)^{0}.(0.99)^{40} = 0.6690$

$P(X > 0) = 1 - P(X = 0) = 1 - 0.6690 = 0.3310$

There is a 33.10% probability that there is at least one defective integrated circuit.

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