Answer:
radius r = 5 ft r=d/2
height h = 3 ft
volume V = 235.619449 ft3³ or 235.36 A is your answer.
lateral surface area L = 94.2477796 ft²
top surface area T = 78.5398163 ft²
base surface area B = 78.5398163 ft²
total surface area A = 251.327412 ft²
In Terms of Pi π
volume V = 75 π ft³
lateral surface area L = 30 π ft²
top surface area T = 25 π ft²
base surface area B = 25 π ft²
total surface area A = 80 π ft²
Step-by-step explanation:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Agenfa: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Answer:
The probability that a random sample of 16 SAT scores has a sample mean between 1440 and 1480 is 0.1464
Step-by-step explanation:
The probability that the sample mean is between 1440 and 1480 is equal to the probability that the sample mean is below 1480 minus the probability that the sample mean is below 1440, or
P(1440 < sample mean < 1480)
=P(sample mean<1480) - P(sample mean<1440)
To find these probabilities we need to calculate the statistic of 1440 and 1480, and it can be calculated as:
t= where
- X is the sample mean (1440,1480)
- M is the mean SAT scores (1518)
- s is the standard deviation (325)
- N is the sample size (16)
then
t(1440)= =-0.96
t(1480)= = -0.4677
using the t table with 15 degrees of freedom we can find that
P(sample mean<1480) = P(t<-0.4677) = 0.3225
P(sample mean<1440) = P(t<-0.96) = 0.1761
Then P(1440 < sample mean < 1480) =0.3225 - 0.1761 = 0.1464
Answer:
I graphed it on desmos
Step-by-step explanation:
Answer:
C) x²-2x-15=0
Step-by-step explanation:
You could put both -3 and 5 in the equations to guess and check, but the better way is to use them to create the factors. If -3 is a root, one of the factors must be (x+3). If 5 is a root, the other factor must be (x-5).
(x+3)(x-5)
x²-5x+3x-15=0
x²-2x-15=0