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3 years ago

Someone help me out please

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

33 ft.

Step-by-step explanation:

First, you would put the x at the opposite side, because that's what the problem is asking for, the distance between the ground and the top of the ladder. Then, because it is opposite and adjacent, you use tangent to solve the problem. Equation: tan(70)=x/12, tan=opp/adj. Then, cross multiply and get x=12(tan(70)), and then multiply to get 32.97 and round up to 33 ft.

(hope this helps!!)

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So, n = 30 candies are randomly selected.

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It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

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Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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