Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
- 50
Applying cross multiplication:
What is the probability that an order of 50 units will have one or more faulty units?
This is:
In which
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Answer:
real numbers
Step-by-step explanation:
Answer:
The left end goes up and the right end goes down.
Step-by-step explanation:
Lets solve the function first and then find out the end behavior of the polynomial:
The given function is f(x)=-x^3+x^2-4x+2
First step is: Identify the degree of the polynomial. For this we have to find out the variable with the largest exponent.
The variable with the largest exponent in the given function is -x³
The degree of the polynomial is the largest exponent on the variable.
3 is the degree of the polynomial.
Since the degree is Odd, the ends of the function will point in the opposite direction.
Now find out the leading coefficient of the polynomial which is -1.
Since the leading coefficient is negative the graph falls to the right.
To find the behavior we have to use the degree of the polynomial as well as the sign of leading coefficient.
If it is ODD and NEGATIVE then the the left end goes up and the right end goes down.
Therefore the end behavior of the given function will be described as "the the left end goes up and the right end goes down"....
Answer:
y = -x +1
Step-by-step explanation:
p1 (-3,4)
p2 ( 3, -2)
line equation y = mx + b
The slope m equals
y = - x + b
from any point
-2 = -3 + b
b = 1
line equation = y = -x +1
Answer:
A
Step-by-step explanation:
The equation is in the standard form of a circle:
(x – h)^2 + (y – k)^2 = r^2
where (h,k) is the center, and r is the radius.
If we compare the 2 equations:
(x – h)^2 + (y – k)^2 = r^2
(x + 10)^2 + (y + 9)^2 = 100
We can see that the center is (-10, -9).
This is because (x- -10) will become (x+10), and (y- -9) will become (x+9).
So, choice A is correct