Answer:
The first one
Step-by-step explanation:
g(x) = ax² + bx + c
Point (0,0):
0 = a.0² + b.0 + c
c = 0
Point (2,1):
1 = a.2² + b.2 + c
4a + 2b + c = 1
But c = 0. Then:
4a + 2b = 1
Another point: (- 2, 1):
1 = a.(- 2)² + b.(- 2) + c
4a - 2b = 1
{4a + 2b = 1
{4a - 2b = 1
4a + 2b = 4a - 2b
4a - 4a = - 2b - 2b
- 4b = 0
b = 0
4a + 2b = 1
4a + 2.0 = 1
4a = 1
a = 1/4
The formula is:
g(x) = (1/4)x²
I hope I've helped you.
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
Answer:
Step-by-step explanation:
For this case we have the following profit function:
And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:
The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.
7/8 pizza. pizza.pizza.pizza.pizza.pizza.pizza.pizza.
