Answer:
26.1533936612
Step-by-step explanation:
bc
h= 6 square root 3
24^2+6 square root 3^2=684
square root 684=26.1533936612
Answer: Each classmate got 9 pencils
Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.
Answer:
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
Step-by-step explanation:
For this case we can define the following events:
A= In a certain computer a memory failure
B= In a certain computer a hard disk failure
We have the probability for the two events given on this case:

We also know the probability that the memory and the hard drive fail simultaneously given by:

And we want to check if the two events are independent.
We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

For this case we have that:

And we see that 
So then we can conclude that the two events given are not independent and have a relationship or dependence.
To solve this problem, all we need is the conversion
factor.
We know that there are:
1 liter = 202.884 teaspoons
Therefore the mass of Phenobarbital is:
mass = (2 grams / 1 Liter) * (1 teaspoon) * (1 Liter /
202.884 teaspoons)
<span>mass = 0.00986 g = 9.86 x 10^-3 g = 9.86 mg</span>
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
Learn more about moment-generating function here:
brainly.com/question/15061360
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