Answer:
Trapezoid
Step-by-step explanation:
Answer:
1.c
2.A
3.E
4.B
5.D
Step-by-step explanation:
hope my answer are correct .
5.) (part 1) is 5x^3, part 2 is 0.25x^2
6.) part 1.) D^2. Part 2.) T^2
7.) part 1.) x^9, part 2.) y^10
9.) part 1.) 15x^2y^3, part 2.) 5ab
Answer:
Expected value = 190
Variance = 4000
Step-by-step explanation:
Let X be the number of the trials until the third success of the bad pump.
This implies that X is a negative binomial distribution
having θ = 20% = 0.2.
Now, if for example it will take X trials to use up the three pumps, then the total time is 10 min/trials + extra 10 minutes for the 3 bad pumps
This means the total time is written as;
T = 10X + (10 + 10 + 20)
T = 10X + 40
Mean which is also expected value of X is;
μ_x = 3/0.2 = 15
Variance of X is; σ²_x = 40
Thus;
Mean of T will be;
μ_T = 10μ_x + 40
μ_T = 10(15) + 40
μ_T = 190
Also, variance of T will be;
σ²_T = 10²•σ²_x
σ²_T = 100 × 40
σ²_T = 4000