Answer:
198
Step-by-step explanation:
27/9 becomes three and then there is no need to divide 198 by three because it is being multiplied by three
There are 4 doughnuts in 1/3 of a dozen
Answer:
1
Step-by-step explanation:
2^−1 + 2^−1
2x2^-1
1
Answer:
We can find the second moment given by:
And we can calculate the variance with this formula:
![Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%207.496%20-%282.5%29%5E2%20%3D%201.246)
And the deviation is:
Step-by-step explanation:
For this case we have the following probability distribution given:
X 0 1 2 3 4 5
P(X) 0.031 0.156 0.313 0.313 0.156 0.031
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
We can verify that:
And 
So then we have a probability distribution
We can calculate the expected value with the following formula:
We can find the second moment given by:
And we can calculate the variance with this formula:
And the deviation is:
The complete question is
A colony of <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts (a) and (b) below. </span>
<span>a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) </span>
<span>____m </span>
<span>b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? </span>
<span>A. The bacteria would be less than knee-deep. </span>
<span>B. The bacteria would be more than knee-deep. </span>
<span>C. The bacteria would be knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a)
Find the approximate depth
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m
</span>
the answer Part a) is
2.4 m
Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore
the answer part b) is the option
D. It depends on the height of the person
