Question 1: The y-intercept is where the line crosses the y-axis. The increments of the y-axis is by 20, and the y-intercept is at (0, 20).
The slope is the change in y over the change in x. Find two points:
(0, 20) and (2, 80)
Now:
(80 - 20)/(2 - 0) = 60/2 = 30
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
So:
y = 30x + 20
Question 2: Again, look for the y-intercept, which is pretty clear. It's (0, 60).
Now find two points:
(0, 60) and (2, 40)
Find the slope:
(40 - 60)/(2 - 0) = -20/2 = -10
So, the equation is:
y = -10x + 60
And, there you go!
Answer:
The third option
Step-by-step explanation:
Given
(a + 3)(- 2a² + 15a + 6b²)
Each term in the second factor is multiplied by each term in the first factor, that is
a(- 2a² + 15a + 6b²) + 3(- 2a² + 15a + 6b²) ← distribute both parenthesis
= - 2a³ + 15a² + 6ab² - 6a² + 45a + 18b² ← collect like terms
= - 2a³ + 9a² + 45a + 6ab² + 18b² → C
The standard form of an equation is

In the question, we have the following formula

To get the formula in standard form, we first have to subtract 2y from both sides (since we need to get 2y on the left side)

Finally we subtract 1 from both sides (since we need the number on the right side)

Hence, 4. is the correct answer.
Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
-0.615
-5/8 = 0.625
-0.62
with negatives, the larger the number is, the smaller it is
-0.625 , -0.62 , -0.615....least to greatest