21.95×.2=4.39
21.95-4.39=17.56
the discount is $4.39
and the total sale price is $17.56
Answer:
a) Sample co-variance = -1.5
b) Sample correlation = -0.4404152
c) Weak negative relationship between X and Y.
Step-by-step explanation:
a) by sample co-variance = sum ((x - xbar)* (y-ybar)/n-1
#.... use the following program in R
x = c(7,8, 5, 3, 9)
y = c(7,5,9,7,7)
sv = sum((x-mean(x))*(y-mean(y)))/4
cor(x,y)
####################################
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Answer: 4.
Step-by-step explanation: In this case it is easier to imagine it on the number line: the y coordinates are the same, so the distance is only in x direction. On the positive side it is 2 2/3 to zero and on the negative, 1 1/3 to zero. Total is 1 1/3 + 2 2/3 = 4. Or the proper writing: 2 2/3 - (-1 1/3) = 4
Answer:
The volume of the bowl is 
or 
Step-by-step explanation:
we know that
The volume of a hemisphere (bowl) is equal to
we have
substitute
