Answer:
(a) The probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.
(b) The probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.
Step-by-step explanation:
Let's denote the events as follows:
<em>A</em> = Fell short of expectations
<em>B</em> = Met expectations
<em>C</em> = Surpassed expectations
<em>N</em> = no response
<u>Given:</u>
P (N) = 0.04
P (A) = 0.26
P (B) = 0.65
(a)
Compute the probability that a randomly selected alumnus would say their experience surpassed expectations as follows:
![P(C) = 1 - [P(A) + P(B) + P(N)]\\= 1 - [0.26 + 0.65 + 0.04]\\= 1 - 0.95\\= 0.05](https://tex.z-dn.net/?f=P%28C%29%20%3D%201%20-%20%5BP%28A%29%20%2B%20P%28B%29%20%2B%20P%28N%29%5D%5C%5C%3D%201%20-%20%5B0.26%20%2B%200.65%20%2B%200.04%5D%5C%5C%3D%201%20-%200.95%5C%5C%3D%200.05)
Thus, the probability that a randomly selected alumnus would say their experience surpassed expectations is 0.05.
(b)
The response of all individuals are independent.
Compute the probability that a randomly selected alumnus would say their experience met or surpassed expectations as follows:

Thus, the probability that a randomly selected alumnus would say their experience met or surpassed expectations is 0.67.
Answer:
Option C is correct.
Step-by-step explanation:
y = x^2+4x+5
We need to find the vertex of the above equation.
The above equation represents the parabola.
The slope of parabola can be found by taking derivative of the given equation
dy/dx = 2x+4
The slope of the parabola at the vertex is zero SO,
2x+4 = 0
2x = -4
x = -4/2
x = -2
Putting value of x =-2 to find the value of y
y = x^2+4x+5
y =(-2)^2+4(-2)+5
y = 4-8+5
y =9-8
y = 1
So, the vertex is (-2,1)
Option C is correct.
X=-2y+1
x=y-5
so, both are equal
-2y+1=y-5
-3y=-6
so y=2
and x= -3
Answer: cone: volume is 1/3 base * height
cylinder: volume is base * height
Step-by-step explanation: I think so sorry if I'm wrong, good luck!
Answer: A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.
Step-by-step explanation:
Given equation: 
To find x, divide 0.6 on both sides, we get

Also 
Thus, 
So the best scenario modeled by the above equation is
"A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10."