Answer:
Step-by-step explanation:
Given,
Red marbles = 3,
Green marbles = 10,
So, the total marbles = 3 + 10 = 13,
Since, here replacement is not allowed,
Thus, the probability of getting a green marble and a red marble
= first red and second green + first green second red
Note : The probability of getting a green marble first and a red marble second
= 
Answer:
2y=5x
Step-by-step explanation:
-3x+5y=2x+3y
5y=5x+3y
2y=5x
Answer:
29°: Acute 90°: Right 61°: Acute
Step-by-step explanation:
If an angle is less than 90 degrees, it is acute. If it is greater than 90 degrees, it is obtuse. If it is exactly 90 degrees, it is right.
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
