Answer:
P(X=5)=0.1032
Step-by-step explanation:
This variable can be modeled by a binomial distribution, with parameters n=15 (sample size) and p=0.2 (the individual probability that the company use a consultant).
The probability that k companies that outsource overseas use a consultant can be written as:

Then, the probability that exactly five companies that outsource overseas use a consultant is:

Answer:
If we have a function f(x) that has an inverse g(x), we have the relations:
f( g(x)) = x
g( f(x)) = x
Then if the coordinates for the function f(x) are points like (x₁, y₁)
The coordinates for the inverse, g(x), will be (y₁, x₁)
Now let's look at the table, here we can see that the coordinates for f(x) are:
(0, 650)
(100, 550)
(200, 450)
(340, 310)
(650, 0)
Then the coordinates of the inverse function will be:
(650, 0)
(550, 100)
(450, 200)
(340, 310)
(0, 650)
Answer:
The models have tiles corresponding to x+8 and x+1
Step-by-step explanation:
We want to find the model that represents factors of

We split the middle term to get:

We factor by grouping to obtain:

We collect common factors again to get:

The models have tiles corresponding to x+8 and x+1
2x + y = 3
x = 2y - 1
solve for y in the first equation;
2x + y = 3
y = 3 - 2x
x = 2y - 1
x = 2(3 - 2x) - 1
x = -4x + 5
solve for x;
x = -4x + 5
x + 4x = 5
5x = 5
x = 1
solve for y;
y = 3 - 2x
y = 3 - 2(1)
y = 1
the answer is: x = 1, y = 1
hope this helps, God bless!