Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

This is equivalent to:

So, evaluating f(-1) first, we acquire:

Then by substitution:

So:

Therefore:

Your answer is indeed correct.
Answer:
0.025
Step-by-step explanation:
Hello!
Given that the classes are uniformly distributed between 45.0 and 55.0 minutes, the propability distribution will be:

Now, we are looking for a probability P(51.5<x<51.75) which can be computed as:

Therefore:
P(51.5<x<51.75) = 0.025
or
P(51.5<x<51.75) = 2.5%
<em><u>I strongly believe that the answer for both questions have the same answer, I believe this because there is no additional info for a given class or selecting a class. I think both probabilities are the same.</u></em>
Answer: Let us assume that our income is $X.
In the first case:
1) We received a raise and our income increased to 135% of its previous amount.
"increased to" denotes that we will multiply our original income by the percentage given.
Therefore our income would be = $X * 1.35 = $1.35
X
In the second case:
2) We received a raise and our income increased by 135%.
"increased by" denotes that we have to add the given percentage of our income to our original income.
<em><u>Therefore our income would be $X + $X*1.35= $2.35X</u></em>
Hey, so basically just plug in the x values for x in the equation. First table the first x value is -1 so just plug it in to 3x so: 3(-1)= -3. That’s your y.
9 + t/12 = -3
t/12 = -12
t = -144
hope this helps