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kvasek [131]
2 years ago
12

A certain airplane has two independent alternators to provide electrical power. the probability that a given alternator will fai

l on a one-hour flight is 0.045. (a) what is the probability that both will fail? (round your answer to 4 decimal places.) probability .0020 (b) what is the probability that neither will fail? (round your answer to 4 decimal places.) probability .998 (c) what is the probability that at least one fails?
Mathematics
1 answer:
Bess [88]2 years ago
8 0
P(fail)=p=0.045
Given the two alternators are independent.

(A)P(Both fail) = 0.045^2= 0.002025
(B)P(None fails) = (1-0.045)^2=0.912025
(C)P(at least one fails)
=1-P(non fails)
=1-0.912025
=0.087975
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160 cups of milk

Step-by-step explanation:

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The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
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Answer:

P(t) = 200\cdot 0.95^t

Step-by-step explanation:

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

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Each year, the population drops to 95% of its previous value. (100 - 5)%

That is, the population is multiplied by 0.95 each year.

Repeated multiplication is signified by an exponent.

Here, that exponent is the number of years from today (t).

<h3>There fore, The population function can be written as ...</h3><h3 /><h3>  P(t) = 200·0.95^t</h3><h3>P(t) = 200\cdot 0.95^t</h3>
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2 years ago
A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of LaTeX: \b
Blababa [14]

Answer:

b.75

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem:

Mean of the population is 75.

By the Central Limit Theorem,

The mean of the sample, \bar{x}, is expected to be also 75.

So the correct answer is:

b.75

5 0
2 years ago
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A triangular playground is to be enclosed using two pieces of fencing and the wall of a building. The wall of the building is 14
Greeley [361]

Answer:

12

Step-by-step explanation:

hope this helps

5 0
2 years ago
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Mekhanik [1.2K]

Answer:

Volume of shaded portion = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded portion = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of base of pyramid = 15 units

w = width of base of pyramid = 10 units

h = height of pyramid = 12 units

Plug in the values to find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded portion = (600 - 36π) units³

3 0
2 years ago
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