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3 years ago

Find the area of the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

Crank3 years ago

8 0

Answer:

c. 165.6 cm²

Step-by-step explanation:

We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:

Area = ½*b*c*Sin(A)

b = 25 cm

c = 25 cm

A = 32°

Area = ½*25*25*Sin(32)

Area = 165.59977

Area ≈ 165.6 cm² (nearest tenth)

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loris [4]

The exponential distribution is:
$\lambda e^{- \lambda x}$
where $\lambda = \frac{1}{mean}=\frac{1}{5}$

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
$P(A|B) = \frac{P(A and B)}{P(B)}$
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
$P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}$

Sub into conditional probability formula:

$P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549$

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%

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3 years ago

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marissa [1.9K]

Answer:

2 and 3

Step-by-step explanation:

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3 years ago

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alukav5142 [94]

Answer:

Technician A is correct.

Step-by-step explanation:

Technician A says that a cylinder leakage test fills the cylinder with compressed air, and the gauge indicates the percentage of leakage.

This is correct.

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3 years ago

If a function is periodic, with period c, then so is its derivative?

Ulleksa [173]

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Triss [41]

Answer:

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3 years ago

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