Answer:
The 99% confidence interval would be given by (0.286;0.562)
Step-by-step explanation:
Information given:
represent the families owned at least one DVD player
represent the total number of families
represent the estimated proportion of families owned at least one DVD player
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.286;0.562)
Answer:
W > 0.5L
Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60
Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.
C=11.27π feet
Diameter=11.27 feet. Hope it help!
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

On comparing both sides, we get




And,




Therefore, the coordinates of point B are (7,-3).