F = 3/r.
The formula for the volume of a cylinder is
V=πr²h. We know that h=2r, so this gives us:
V = πr²(2r) = 2πr³
The surface area of a cylinder is the sum of the areas of all of the faces. The bottom and top are circles, whose areas are both given by A=πr². The lateral area of a cylinder is given by the circumference multiplied by the height. C = 2πr, and the height is 2r, so the lateral area would be
A=(2πr)(2r)= 4πr². This gives us a total surface area of
SA = 4πr²+πr²+πr² = 6πr².
The ratio of surface area to volume would be:
SA/V = 6πr²/2πr³. After simplifying, we have f=3/r.
Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;
s =
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s = = 2.854
The test statistic, derived through computation, = ±3.707
Which gives;
1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
Step-by-step explanation:
x² + 4x - 9
= (x + 2)² - 13
a = 2, b = -13.
Answer:
B
Step-by-step explanation: