Answer:

And we can find the individual probabilities like this:
And replacing we got:

Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter
represent the average ocurrence rate per unit of time.
Solution to the problem
For this case the batch would be rejected if we found more than 3 defects, so then the probability of accept the batch would be given by:

And we can find the individual probabilities like this:
And replacing we got:

Answer:
x^2 - x - 12 (this is the second answer choice)
Step-by-step explanation:
Multiply (x + 3)(x - 4) and simplify the result:
x^2 - 4x + 3x - 12, or x^2 - x - 12 (this is the second answer choice)
Answer: S = 8
Step-by-step explanation:
If the bus begins its route with no passengers, that is P = 0
P = –2(S – 4)2 + 32 = 0
(- 2S + 8)4 = - 32
-8S + 32 = - 32
-8S = - 64
S = 64/8 = 8
The value of S when the bus has its greatest number of passengers?
Answer:
Step-by-step explanation:
Given a parallelogram with points
X(4, 0)
W(0, -1)
Y(3, -2)
Z(-1, -3)
We want to find the perimeter, perimeter is the total sum of the lengths
So, we need to find the length of the sides using distance between two points
D = √(x2-x1)² + (y2-y1)²
So, applying this
WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17
XY = √(4-3)² + (0--2)² = √(1+4) = √5
Since the opposite sides of a parallelogram are equal, we don't need to find the other length
Then,
Perimeter = 2(WX + XY)
Perimeter = 2(√17 + √5)
Perimeter = 2√17 + 2√5
The correct answer is B.
PQ is bisected by line <em>L</em>.
so the answer is C
PQ=14
Step-by-step explanation:
5x-3=11-2x
5x+2x=11+3
7x=14
x=2
replace X in any of the given distance equation then multiply by 2 since the distance Pm=Qm
PQ=2(11-2x)
2(11-2(2))
2(7)
Therefore PQ=14