Answer:
C) Uniform distribution
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.
We can calculate the probability.
Uniform probability distribution
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
For this problem, we have that:
Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so
and
.
We want to find ![P(X \leq 15) = \frac{15-0}{90-0} = 0.167](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2015%29%20%3D%20%5Cfrac%7B15-0%7D%7B90-0%7D%20%3D%200.167)
Answer:
the measure of angle 7 is 95 degrees
Step-by-step explanation:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
N is parallel to P
measurement of angle 10 is 85 degree
angle 10 and angle 7 are consecutive interior angles
consecutive interior angles are supplementary
![](https://tex.z-dn.net/?f=%3C10%20%2B%3C7%20%3D%20180)
![85 +](https://tex.z-dn.net/?f=85%20%2B%20%3C7%20%3D%20180)
Subtract 85 on both sides
So <7 = 180- 85 = 95
the measure of angle 7 is 95 degrees
Answer:
4%
Step-by-step explanation:
Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.
48 increases by 4% o get 50.
.75x+5 ≤ 12
Explanation:you need to spend the 5 dollars to get in and the x is the number of games you play so all of that needs to be less than or equal to 12
I solved it for you. hopefully this helps