Answer:the hardest questiom
Step-by-step explanation:
Answer: (-29,7) and(19,7)
Step-by-step explanation:
Answer:
0.3678
Step-by-step explanation:
Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with parameter 1/20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it?
Given that the total number of thousands of miles(X) that an auto can be driven
before it would need to be junked is an exponential random variable with parameter 1/20.
=> X ≅ Exponential(λ= 1/20)
=> f(x) = 1/20 * e^(-x/20) , 0 < x < ∞
=> F(X) = P{X < x} = 1 - e^(-x/20)
The probability that she would get at least 20,000 additional miles out of it.
P{X > 20} = 1-P{X < 20}
P{X > 20} = 1-(1 - e^(-20/20))
= e^(-1)
= 0.3678
Answer:
25
Step-by-step explanation:
The daughter is ten which means the wife is 30 (10*3) and the man is 5 years older than the wife (30+5). The man is 35 and the daughter is ten, so subtract ten years from the man (35-10) which means the man is 25 years old
Apply a law of exponents. When multiplying you add the exponents:-
2^-3 * 2^x * 2^(x+2)
= 2 ^(-3 + x + x + 2)
= 2^(2x - 1) Answer