Answer:
a) X ~ ![e(0.03)](https://tex.z-dn.net/?f=e%280.03%29)
b) μ = 100/3
c) ![\sigma = 100/3](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%20100%2F3%20)
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~ ![e(0.03)](https://tex.z-dn.net/?f=e%280.03%29)
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is ![\sigma = 1/0.03 = 100/3](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%201%2F0.03%20%3D%20100%2F3%20)
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
Answer: The domain is all real numbers greater than or equal to
4, and the range is all real numbers
Step-by-step explanation:
Answer:
is the answer.
Step-by-step explanation:
According to the power rule, we have:
![$ (a^b)^c = a^{b.c} $](https://tex.z-dn.net/?f=%24%20%28a%5Eb%29%5Ec%20%3D%20a%5E%7Bb.c%7D%20%24)
We use the power rule to solve the problem.
Therefore,
which is the required answer.
Answer:
The slope is -0.048/2.000 or -0.024
Step-by-step explanation:
52/107= .486 so there’s a 48.6% that they are in 10th grade