A car traveling at a certain speed will travel 76 feet per second. How many miles will the car travel in 3.1 hours if it maintai
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Answer: 890.12 cm^3
Step-by-step explanation:
The formula for the volume of a cylinder is
V=628.3185307 cm^3
or simply
V=628.32 cm^3
Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.
Next, the formula for the volume of a sphere is
so the volume of a hemisphere is half of that or:
V= 261.7993878 cm^3
or simply
V=261.80 cm^3
Finally, you add both of the volumes together to get
V= 890.1179185 cm^3
or simply
V=890.12 cm^3
Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is
The standard deviation of the random sample is
Therefore, The mean is 2.5 and the standard deviation is 1.08.