Answer:
(4,0)
Step-by-step explanation:
The object is first at (0,0)
It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;
The image (-4,0) is then reflected on the y-axis
You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.
Hence;
(- -4,0)= (4,0)
The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)
Answer:
a. 9%
b. 0.01445
c. 12.02%
Step-by-step explanation:
n = 5 years
Return rates = 14%, –9%, 16%, 21%, and 3%
a. Arithmetic average return
b. Historical variance (to 5 decimal places)
c. Standard deviation.
Step-by-step explanation:
Given: 
and 
We can solve for f(x) by writing
Let 
Then
We know that f(0) = 0 so we can find the value for k:
Therefore,
Answer:
(-3.07, 11.07)
Step-by-step explanation:
Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.
Group Group One Group Two
Mean 300.00 296.00
SD 8.00 6.00
SEM 2.67 2.00
N 9 9
The mean of Group One minus Group Two equals 4.00
standard error of difference = 3.333
df = 16
t = 1.2000
Margin of error = 3.3333* t critical = 3.3333*2.121
95% confidence interval of this difference: From -3.07 to 11.07
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
