Answer:
The expectation of the policy until the person reaches 61 is of -$4.
Step-by-step explanation:
We have these following probabilities:
0.954 probability of a loss of $50.
1 - 0.954 = 0.046 probability of "earning" 1000 - 50 = $950.
Find the expectation of the policy until the person reaches 61.
Each outcome multiplied by it's probability, so:

The expectation of the policy until the person reaches 61 is of -$4.
Carmen simplifies the expression and gets the coefficient of y is 10. Thus, the correct option is C.
<h3>What is simplification?</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
Given
Carmen simplifies the expression
.
We can add x term with x, y term with y, and constant with constant.
On simplifying, we have

Thus, the coefficeint of y is 10.
More about the simplification link is given below.
brainly.com/question/12616840
49c^2 - 25d^6
(7c)^2 - (5d^3)^2
(7c + 5d^3)(7c - 5d^3)
The answer is: (7c + 5d^3)(7c - 5d^3).
Answer:

Step-by-step explanation:
The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1
So for this problem we need to find a number z such that
(3 - 2i) ( z ) = 1
If we take z = 
We have that
would be the multiplicative inverse of 3 - 2i
But remember that 2i = √-2 so we can rationalize the denominator of this complex number

Thus, the multiplicative inverse would be 
The problem asks us to verify this by multiplying both numbers to see that the answer is 1:
Let's multiplicate this number by 3 - 2i to confirm:

Thus, the number we found is indeed the multiplicative inverse of 3 - 2i
Sometimes true, depends on d. ex: -8 + -8 is negative, but -8 + 9 is positive