Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Answer:
d = 5
Step-by-step explanation:
We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: 
. On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: 
. We know that 
= 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!
Answer:
your answer is C.
Step-by-step explanation:
Answer:
15 percent of 90 hours = 13.5 hours
What is 15% of 90?
Y is 15% of 90
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 15% * 90
Converting percent to decimal:
p = 15%/100 = 0.15
Y = 0.15 * 90
Y = 13.5
Answer:
<em>Pizza eaten together: 5/6,</em>
<em>Pizza left over: 1/6</em>
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = <em>Pizza eaten together: 5/6</em>
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the <em>Partition Postulate. </em>In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = <em>Pizza left over: 1/6</em>
