Answer:
The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.
Step-by-step explanation:
for derby dragon;
mean height = 72 inches
standard deviation = 1.2 inches
for aviston aces:
mean height = 70.8
standard deviation = 0.7 inches
for balwin bears;
mean height = 73 inches
standard deviation = 1.0 inches
the mean height of aviston aces < mean height of derby < mean height of balwin bears
So on average the balwin bears are taller.
The standard deviation of derby dragon is > that of balwin bears > aviston aces.
So the more consistent height is that of aviston aces players.
The answer will be x=2i,-2i
Answer:


And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.
Step-by-step explanation:
For this case we have the following sample size n =772 from men recruits between the ages of 18 to 24
represent the sample mean for the heigth
represent the population standard deviation
We want to construct a confidence interval for the true mean and we can use the following formula:

The confidence level is 0.99 or 99%o then the significance level is
and
and if we find for a critical value in the normal tandar ddistirbution who accumulates 0.005 of the area on each tail we got:

And replacing we got:


And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.
Answer:
(x+3)^2 + (y +5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle with the formula
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 + (y - -5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 6^2
(x+3)^2 + (y +5)^2 = 36