Answer:
The probability is 0.971032
Step-by-step explanation:
The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.
The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:
(eq. 1)
So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:
P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)
We can also calculated that as:
P(x ≥ 5) = 1 - P(x ≤ 4)
Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)
Then, if we calculate every probability using eq. 1, we get:
P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765
P(x ≤ 4) = 0.028968
Finally, P(x ≥ 5) is:
P(x ≥ 5) = 1 - 0.028968
P(x ≥ 5) = 0.971032
10.20 x 9 = 91.8
( It's William and nine/eight friends, since they're dividing it among ALL people we count William in. )
A: William and nine friends <span>divided the bill evenly. If each person paid $10.20, what was the total bill?
</span>
10.20 x 10 = 102
B: <span>At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill?
10.20 x 9 = 91.8
C: </span><span>At a restaurant, William and nine friends divided the bill evenly. If the total bill was $91.80, what did each person pay?
91.80 x 10 = 918
D: </span><span>At a restaurant, William and eight friends divided the bill evenly. If the total bill was $91.80, what did each person pay?
</span>91.80 x 9 = 826.2
So, your answer is B
Answer:
38.13 m^2
Step-by-step explanation:
the area of a triangle =b*h/2
b=base
h=height
area triangle=(4m*3m)/2=(12m^2)/2=6m^2
the area of a rectangle =b*h
b=base
h=height
area of a rectangle=6m*3m=18m^2
area of a semi circle=(pi*r^2)/2
r=radius
area of a semi circle==(3.14*(3m)^2)/2=14.13m^2
area of the figure=6m^2+18m^2+14.13m^2=38.13m^2
the answer is 38.13m^2
Answer:
C
Step-by-step explanation:
D is missing 2 ideas.
- An angle can be formed by a mixture of the types of figures quoted.
- An angle has common or shared endpoint.
B: to me is unclear. A line does not have an endpoint. A ray does.
A: you need to mention that the lines are coplanar.
I think, brief though it is, C is the most complete and at the same time simplest choice.
Answer:
-7
Step-by-step explanation: