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tia_tia [17]
2 years ago
11

A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momm

a bird is 18 feet from the base of the tree, how high is the bird's nest off the ground? Question 2 options: 28 ft 25 ft 15 ft 11 ft
Mathematics
1 answer:
dmitriy555 [2]2 years ago
5 0

Answer:

  • B. 25 ft

Step-by-step explanation:

<u>We have the following points:</u>

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

<u>Given:</u>

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

<u>Find the value of x:</u>

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that 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}

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

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An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

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This is P(X = 0). So

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

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This is how you would find the area of one slice of pizza.
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I hope this helps you.
Have a great day! :)
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38 quarts because four quart equals  one gallon.
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