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Firlakuza [10]
3 years ago
9

The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0
Sine they are equal and a complement means add up to 90, they are 45.
45+45 =90
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The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi
kondaur [170]

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

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P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

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P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

3 0
3 years ago
Find the factors that multiply to give you -42 and add to give you -1.
Schach [20]
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3 0
3 years ago
there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the prob
ivanzaharov [21]

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

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The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

3 0
3 years ago
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