Answer:
B. 4mm
Step-by-step explanation:
A cube is a 3d square, so the length, width, and height are equal. To find the volume you have to times all three of those things. 4^3 or 4 * 4 * 4, is 64.
Answer:
E(X) = 1.5
Var(X) = 2.325
Step-by-step explanation:
X - the number of pairs of cats (out of the 5 cats) to choose the same type of treat, can take values of:
X = (0, 1, 2, 3, 4, 5)
Also probability of choosing a treat, since they are all equally likely is: f(x) = 1/10
E(X) - expectation of x, is given by:
E(X) = Summation [X*f(x)]
E(X) = 0x(1/10) + 1x(1/10) + 2x(1/10) + 3x(1/10) + 4x(1/10) + 5x(1/10)
= (1/10) x (1+2+3+4+5)
E(X) = 3/2 = 1.5
Also, variance is:
Var(X) = Summation f(x)*[X - E(X)]^2
= (1/10)x(0-1.5)^2 + (1/10)x(1-1.5)^2 +(1/10)x(2-1.5)^2 +(1/10)x(3-1.5)^2 +(1/10)x(4-1.5)^2 +(1/10)x(5-1.5)^2
= (1/10)x[2.25 + 0.25 + 2.25 + 6.25 + 12.25]
Var(X) = 2.325
The kitten gained 21 ounces. 2 pounds is equal to 32 ounces, 32 + 3 = 35 and 56 - 35 = 21 ounces
Answer:
247 people per square mile
Step-by-step explanation:
Population density is people per area
We need to find the area
We are given the radius
We will assume a circular area since we are given radius
A = pi r^2
A = 3.14 * 5^2
A = 3.14 *25
A = 78.5 miles ^2
19400 people
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78.5 miles ^2
247.133758 people per square mile
Rounding to the nearest person
247 people per square mile