Answer:
lines a and b are parallel. The slopes are -1/3
None of the lines are perpendicular to each other.
Step-by-step explanation:
To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:
line a: This line goes down one every time it goes over 3, which can be represented by -1/3
line b: This lines goes down one every time it goes over 3, which can also be written as -1/3
line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2
When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.
When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.
Hope this helps :)
Notice the picture below, see the length "l"?
well
solve for "w", to find the width,
what's the length? well, l = 11/4 w
Question # 14
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am less than 20.
- So the number 'x' must be less than 20 i.e. x < 20
I am more than 13.
- So the number 'x' must be greater than 13 i.e. x > 13
I am less than 17.
- So the number 'x' must be less than 17 i.e. x < 17
Finally:
I am 4 more than 12
i.e. 12+4 = 16
Thus, the number is x = 16
Question # 15
Part a)
Given the numbers
10 11 12 13 14 15 16 17 18 19 20
Let 'x' be the number
The condition breakdown:
I am more than 10.
I am less than 20.
I am more than 12.
I am less than 15.
As the numbers left after all the conditions are fulfilled are 13 and 14.
- But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.
So, from the remaining number 13 and 14;
14 > 13
Thus, the number x = 14
Part b)
Drawing the number 14 in the place value:
Chart
Tens Ones
1 4
Answer:
47.1 cm
Step-by-step explanation:
<u>The formula for finding circumference is πd. So, plug in the given values and simplify the expression:</u>
d = 15
π = 3.14
15 × 3.14 = 47.1
<u>The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be </u><u>47.1 cm</u><u>.</u>
Answer:
a)Slope: 
Intercept: 
b) ![r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B7625.9%7D%7B%5Csqrt%7B%5B1248.9%5D%5B94228.8%5D%7D%7D%3D0.657)
And the determination coeffecient is 
Step-by-step explanation:
Data given and definitions
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
n=110, 
Part a
The slope is given by this formula:
If we replace we got:
We can find the intercept with the following formula
We can find the average for x and y like this:
And replacing we got:
Part b
In order to calculate the correlation coefficient we can use this formula:
![r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B%5Csum%20%28x-%5Cbar%20x%29%28y-%5Cbar%20y%29%20%7D%7B%5Csqrt%7B%5B%5Csum%20%28x-%5Cbar%20x%29%5E2%5D%5B%5Csum%28y-%5Cbar%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=110,
So we can find the correlation coefficient replacing like this:
And the determination coeffecient is
