Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
<h3>Exponential distribution</h3>
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
In this problem, the mean and the decay parameter are, respectively, given by:
.
The probability that a randomly selected part will <u>fail in less than 20 hours</u> is given by:
0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
More can be learned about the exponential distribution at brainly.com/question/18596455
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Answer:
There will be 26 centimeters of pipe left.
Step-by-step explanation:
1 meter = 100 centimeter
Two 37 centimeter pipes = Total of 74 centimeters used
100 - 74 = 26 centimeters of pipe left
Answer: x = 7
Step-by-step explanation:
do opposites to both sides. what is the opposite of -5? it would be plus 5.
add 5 to both sides
3x = 21
now what is the opposite of 3 times x? 3 divided by.
divide 3 to both sides
x = 7
Answer:
I think it would be B.
Sorry if im wrong
Step-by-step explanation:
Have a great day!
