Answer:


Step-by-step explanation:
<u>Sample Space</u>
The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter
.
We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

Y=3x+19
You add 3x to each side. Because your trying to get y by its self like y=mx+b.
Answer:
-15 - 21i
Step-by-step explanation:
<u>Step 1: FOIL</u>
(3 - 3i)(1 - 6i)
(3 * 1) + (3 * -6i) + (-3i * 1) + (-3i * -6i)
(3) + (-18i) + (-3i) + (18i^2)
3 - 18i - 3i - 18
-15 - 21i
Answer: -15 - 21i
A function is a black box, with a funnel to put numbers in, a chute where
numbers come out, a crank on the side, and some machinery inside.
You put a number in, turn the crank, and a number comes out ... usually
different from the one you put it.
If you do that enough times with enough different numbers, you can figure out
what machinery is inside.
Or, if you know what the machinery is, then when you put a number in,
you can always predict what number will come out.
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19