Answer:
x=4
Step-by-step explanation:
Answer:
y = -1/2 x + 2
Step-by-step explanation:
Which of the following equations describes the line shown below? Check all
that apply.
(-4, 4)
(2, 1)
The standard equation of a line is y = mx,+b
m is the slope
b is he y-inttercept
Get the slope
Slope m = y2-y1/x2-x1
Substitute the coordinate
M = 1-4/2-(-4)
M = -3/6
M = -1/2
Substitute m= -1/2 and (2,1) into y = mx+b
1 = -1/2(2)+b
1 = -1+b
b = 1+1
b=2
Get the equation
Recall y =mx+b
y = -1/2 x + 2
Answer:
Step-by-step explanation:
Let's start with this. When do you think the mean would NOT be an appropriate measure of center? Well, maybe your data points are 1,2,4,1,5,3, 1,000,000. If you took the mean of that it wouldn't be anywhere near any of the numbers, and would just be in between two. So not in the center at all.
The point is you want your data set well balanced. You want about an equal number on one side as the other. So let's look at yours.
The furthest away from the middle has 11 on the left side and 12 on the right. If youw ere weighing them on a scale and took the 11 and 12 as the weight, they would be pretty close to equal. The next two are 21 and 23. Less close, but still only two away. The middle is the middle, so nothing to balance it out with. If you look at it as a whole, the right side is 3 more than the left. I would say 3 is still pretty close when you are looking at "weights" above 10. So I would say mean is a pretty appropriate measure of center.
Stats takes a lot of "gut feelings" like this. Thinking, "yeah, these are pretty close" so you'll get the hang of it pretty soon.
We have to calculate the length of a side ( x ) of the rectangle. We know the perimeter of the rectangle: P = 24 ft. Formula for the perimeter of the rectangle is: P = 2 L + 2 W. The width W = 4 ft. So: 24 = 2 * x + 2 * 4; 24 = 2 * x + 8; 2 * x = 24 - 8; 2 * x = 16; x = 16 : 2; x = 8. Answer: The length of side of a rectangle is 8 feet<span>.</span>
Answer:
9x² + 12
Step-by-step explanation:
Area = Length × Width
Area = 3 × (3x² + 4)
Area = 9x² + 12