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sergij07 [2.7K]
3 years ago
6

A 51-foot ladder is leaning up against a building . The top of the ladder reaches the wall at a height of 50 feet . How far is t

he bottom of the ladder from the building ?
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
You would have a right triangle where the hypotenuse is 51. To figure out this problem we can use the Pythagorean theorem- a^2 + b^2 = c^<span>2. so the equation should be 50^2+b^2=51^2

</span>50^2+b^2=51^2
2500+b^2=2601
b^2=101
b=10.049875621121xx
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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a
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72.69% probability that between 4 and 6 (including endpoints) have a laptop.

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Binomial probability distribution

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And p is the probability of X happening.

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This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

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