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Wewaii [24]
3 years ago
7

What is the length of BC? If your answer is not an integer, leave it in simplest radical form.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0

Answer: BC = 16√2 ft

Step-by-step explanation:

Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.

With m∠W as the reference angle,

AB represents the adjacent side of the right angle triangle.

AC represents the opposite side of the right angle triangle.

To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 45 = 16/BC

√2/2 = 16/BC

BC = 16/(√2/2) = 16 × 2/√2

BC = 32/√2

Rationalizing the denominator, it becomes

BC = 32/√2 × √2/√2

BC = 32√2/2

BC = 16√2 ft

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Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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This means that p = 0.17

Among seven randomly selected goblets, how likely is it that only one is a second

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3 years ago
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Answer:

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Step-by-step explanation:

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