Answer:

So then the best answer for this case would be:
C. 2.78
Step-by-step explanation:
For this case we have the following probabability distribution function given:
Score P(X)
A= 4.0 0.2
B= 3.0 0.5
C= 2.0 0.2
D= 1.0 0.08
F= 0.0 0.02
______________
Total 1.00
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
If we use the definition of expected value given by:

And if we replace the values that we have we got:

So then the best answer for this case would be:
C. 2.78
Answer:
G. 7
Explanation:
The longest side must be less than the sum of the two shorter sides.
The difference between the longest and shortest sides must be less than the middle side.
l+a = 11
l < (a + 4) ... l < (11 - l + 4)
... 2 l < 15 ... l < 7.5
--Variables
l = 7 (Longest Side/Answer)
a = 4 (Other Missing Length)
m = 4 (Side Given)
The answer is definitely 30 :) thanks for the points!
No, the given point does not satisfy the inequality
<em><u>Solution:</u></em>
Given inequality is 6x + y > -11
We have to find whether the point (-2, 1) satisfies the inequality
When we subsitute the given point into given inequality, values in both sides of inequality must satisfy the condition
Let us substitute the given point (x, y) = (-2, 1) in given inequality
6(-2) + 1 > -11
-12 + 1 > -11
-11 > -11 which is not true, Since -11 is equal to -11
So the given point does not satisfy the inequality