The property used is the Associative property
3 × 70 = 3(70) = 3 (7×10) = (3×7) ×10
The formula is
a × bc = a (bc) = a (b×c) = (a×b) ×c
Y-3=1/2(x+2)
To find the y-intercept, we must first get the equation in slope intercept form. Start off by distributing 1/2 into the parentheses.
y-3= 1/2x+1
Add 3 to both sides
y= 1/2x+4
The slope is whatever is in front of x, in this case, 1/2. The y-intercept is the number after that which would be 4
<em>Note: I am assuming the first equation is:</em>
<em>x+y = 3</em>
Answer:
The solution to the system of equations is:
(x, y) = (-2, 36)
Therefore, the x-coordinate of the solution of the system
x = -2
Step-by-step explanation:
Given the system of equations

subtracting the equations




solve -2y for y

Divide both sides by -2


For x+y=34 plug in y = 36

Subtract 36 from both sides

Simplify

Thus, the solution to the system of equations is:
(x, y) = (-2, 36)
Therefore, the x-coordinate of the solution of the system
x = -2
Part a)
The simple random sample of size n=36 is obtained from a population with

and

The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.
Therefore the sampling distribution has a mean of

The standard error of the means becomes the standard deviation of the sampling distribution.

Part b) We want to find

We need to convert to z-score.

Part c)
We want to find

We convert to z-score and use the normal distribution table to find the corresponding area.

Part d)
We want to find :

We convert to z-scores and again use the standard normal distribution table.

In order to get the answer to this problem you will have to go to the thousands place value and look at the number next to the place value and if the number is greater then 5 then you round up which will give you your answer.





Which means your answer is "692,000."
Hope this helps.