What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
The mean is 10,
The median is 10,
And there is no mode.
The mean of a set of numbers is the sum divided by the number of terms,
7+15+12+6+10=50
There are 5 numbers in the set,
50/5=10.
10 is the mean.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers,
6, 7, 10, 12, 15,
10 is in the middle so it is the median.
The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.
Just so you don’t confuse the data with the group sets,
The actual data set is 7, 15, 12, 6, and 10
This data paired with score column or group set means that,
10 people got a score of 1-10
6 people got a score of 11-20
12 people got a score of 21-30
15 people got a score of 31-40
And 7 people got a score of 41-50 :)
Answer:
<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>
Step-by-step explanation:
Using Excel, we captured the data provided for the 12 different homes for calculating the correlation coefficient manually, this way:
n = 12
∑x = 904
∑y = 2,169
∑xy = 167,532
∑x² = 69,552
∑y² = 404,615
r = [n *∑xy - (∑x * ∑y)]/[√(n * ∑x² - (∑x)²) * (n * ∑y² - (∑y)²)]
Replacing with the real values, we have:
r = [12 * 167,532 - (904 * 2,169)]/[√(12 * 69,552 - 904²) * (12 * 404,615 - 2,169²)]
r = [2'010,384 -1'960,776]/[√(834,624 - 817,216) * (4'855,380 - 4'704,561]
r = 49,608/√17,408 * 150,819
r = 49,608/ 51'239.215
r = 0.00097
<u>The correct answer is C. r = 0 because is most likely the closest to the correlation coefficient of the data.</u>
Answer:
Part 1) 
Part 2)
a) 
b) 
c) 
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
Part 1) Write an expression for the perimeter of the shape
we know that
The figure is composed by a larger square, a rectangle and a smaller square
1) The area of the larger square is given
so
The length and the width of the larger square is x units
2) The area of the rectangle is given
so
The length of the rectangle is x units and the width is 1 unit
3) The length and the width of the smaller square is x units
see the attached figure N 2 to better understand the problem
Find out the perimeter
The perimeter is the sum of all the sides.
so
Part 2) Find the perimeter for each of the given values of x.
a) For x=7 units
Substitute the value of x in the expression of the perimeter
b) For x=5.5 units
Substitute the value of x in the expression of the perimeter
b) For x=7/3 units
Substitute the value of x in the expression of the perimeter
Answer:
The answer is 16
Step-by-step explanation:
8 divided by 2 (2+2)=16
