The parallel lines have the same slope.
The slope-intercept form:
m - slope
b - y-intercept
We have
Therefore searched line equation is:
The line passes through point (12, 7). Put the coordinates of the point into the equation of the line:
Answer: 
Answer:
standard error = 2.11
Step-by-step explanation:
First we stablish the data that we have for each sample:
<u>Population 1</u> <u>Population </u>2
n₁ = 100 n₂ = 90
x¯1= 95 x¯2 = 75
σ₁ = 14 σ₂ = 15
To calculate the standard error of each sample we would use the formulas:
σ = σ₁/√n₁
σx¯2 = σ₂/√n₂
Now, in order to obtain the standard error of the differences between the two sample means we combine those two formulas to obtain this:
σx¯1 - σ x¯2 = √(σ₁²/n₁ + σ₂²/n₂ )
So as you can see, we used the square root to simplify and now we require the variance of each sample (σ²):
σ₁² = (14)² = 196
σ₂² = (15)² = 225
Now we can proceed to calculate the standard error of the distribution of differences in sample means:
σx¯1 - σx¯2 = √(196/100 + 225/90) = 2.11
This gives an estimate about how far is the difference between the sample means from the actual difference between the populations means.
Answer:
210=75x-10x+35
Step-by-step explanation:
So we know to total profit he made is 210 dollars, in which he earned from 3 independent reasons.
The profits he made in per appointment will need a variable because we don't know how many appointments he made. So knowing that we can conclude that 75 dollars and 10 dollars per appointment has to have a variable after it. The same variable as well because both of which are money.
As of the tip, we don't need a variable because it is a one time addtion, he recieved a total of 35 dollars after all of the appointments, so no need to know how many. We already know the total.
So that leaves us to write an equation. The total=$per appointment-fee per appointment+tip. Which becomes 210=75x-10x+35.
Hope this helps!
Answer is 512 cu.ft.
Volume of a cube is length x width x height
So 8 x 8 x 8 = 512
Answer:
Hello there!
Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.
Therefore, Jerry only has 4 candies.
Hope this helps!!!
Step-by-step explanation:
