Answer:
Option B) The additive inverse of -3 is +3, so
Step-by-step explanation:
We are given the following expression in the question:
Additive Inverse:
- The additive inverse of a number a is the number when added to the original numbers it gives a sum of zero.
- Let x be a number, then additive inverse of x is -x
Additive Inverse of -3 is 3
Option B) correctly explains the given statement.
Opion B)
The additive inverse of -3 is +3, so
Answer + Step-by-step explanation:
GRASS method is an acronym for Given, Required, Analysis, Solution, and Statement.
<u>G</u><u>iven:</u>
- Charles has $50.00 (total)
- Charles spent 1 / 4 on a gift card (spent means subtract from total)
- Charles spent 5 / 8 on a new wallet (spent means subtract from total)
<u>R</u><u>equired:</u>
- The question asks: “How much money is leftover?” From this we know we have to find the leftover amount. Find: x = ?
<u>A</u><u>nalysis:</u>
50 (total) = x + 1/4 + 5/8 than solve for x
how much money leftover (x)
= total - spent on gif card - spent on new wallet
x = 50 - 1 / 4 - 5 / 8
<u>S</u><u>olution:</u>
x = 50 - 1/4 - 5/8
- 1/4 of 50 is 50 / 4 = 12.5
x = 50 - 12.5 - 5/8
- 5/8 of 50 is 50/8 = 6.25 <em>this is 1/8 of the price</em>
- than multiply by 5 to get 5/8, 6.25 x 5 = 31.25
x = 50 - 12.5 - 31.25
x = 6.25
<u>S</u><u>tatement:</u>
We found that the leftover amount is $6.25.
Therefore, the leftover amount of money with a starting amount of $50.00 and purchasing a gift card and new wallet is in fact $6.25.
Answer:
Step-by-step explanation:
For this case we assume that we have two random variable X and Y continuous, and we define the conditional density of X given Y like this:
Where is the joint density function. And we can define the conditional probability like this:
In order to find the expected value of X given Y=y we just need to find this:
And if we assume that the random variable is discrete then the conditional expectation would be given by:
And as we can se just change the integral by a sum over the values defined for X, and with this we have the general formulas in order to find the conditional expectation of X given Y=y for the possible cases for a random variable.
Answer:
A is the answer I go with although Im not that sure