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MariettaO [177]
3 years ago
5

A. x ≥ 0

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p
garik1379 [7]

Answer:

  • <em>m</em> = \frac{1}{20}
  • <em>μ</em> = 20
  • <em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

f(x)=me^{-mx}\ ;\ m>0, x>0

<u>Given</u>: The decay parameter is, \frac{1}{20}

<em>X</em> is defined as the distance people are willing to commute in miles.

  • The decay parameter is <em>m</em> = \frac{1}{20}.
  • The mean of the distribution is: \mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20.
  • The standard deviation is: \sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20

Compute the probability that a person is willing to commute more than 25 miles as follows:

P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0
3 years ago
Tom's age is 5 more than twice Dic's age.
kvasek [131]
If we break the answer down, we can solve this pretty easily.
We can represent Dic's age with x.
Tom's age is 5 MORE (+5) than TWICE (2x) Dic's age (x)
Therefore, our answer is 5+2x (Five more than twice Dic's age)

The correct answer is C: 5+2x
4 0
3 years ago
ILL GIVE YOU ALL MY POINTS FOR THIS EASY QUESTION!!!!!!
frutty [35]

Answer:

  • h = (S- 2πr²)/(2πr)

Step-by-step explanation:

<u>Given</u>

  • Formula S = 2πr² + 2πrh

<u>Solve for h</u>

  • S = 2πr² + 2πrh
  • 2πrh = S - 2πr²
  • h = (S- 2πr²)/(2πr)
4 0
3 years ago
Please help I need help
qaws [65]

The first answer of part A is 32

So 4y means you have to multiply 4 by y, which is 20 since 4x5=20

And then you add 12, which is 32.

The second answer to part A is 40

With the second question of part a, the expression is basically saying 4 times whatever 5+3 is. So 5+3= 8, and 4(8) is 40

For part B, they are equivalent because let’s pretend y=2. 12+4y= 20. And then 4(y+3) would equal 20 because 4(2)=8 and 4(3)=12 and 8+12=20. This might not be the answer that your teacher is looking for, but it’s still a right answer so technically they can’t say it’s wrong unless you have a super unfair teacher

3 0
3 years ago
Find the value of y picture *****
77julia77 [94]
I think its 54 too soo
3 0
3 years ago
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