Answer:
a) We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.
b) 5.3
c) 5.3
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
a. What probability distributions' properties is this?
We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.
b. What is the expected value of the random variable x?
It is known that the mean number of occurrences in ten minutes is 5.3.
So the mean is 
c. What is the variance of the random variable x?
In the Poisson probability distribution, the variance is the same as the mean. So the variance is 5.3.
I think the correct answer from the choices listed above would be the third option. The statement that best describes the gas in a scuba tank would be that <span>the gas is compressed. The gas inside is exposed in a very high pressure which compresses it to liquid.</span>
Hello!
The formula for circumference is

and the formula for area of a circle is

. Armed with these formulas, we can begin to find the circumferences and areas of the circles.
20.
C =

C =

C =

C = 13(3.14)
C = 40.8
A =

A =

A =

A = 132.7
The circumference of the circle is 40.8 in and the area of the circle is 132.7 in².21.
[Since we are given the diameter for this problem, to find the circumference, we no longer need to multiply the radius by 2 as in

because the diameter is the radius × 2. For

we do need to divide the diameter by 2.]
C =

C = 49.3
A =

A =

A =

A = 193.5
The circumference of the circle is 49.3 in and the area of the circle is 193.5 in².
And that is all there is to it. I hope this helps you! (:
Answer:
x = -7
, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -28 | (equation 1)
-4 x - 7 y = 28 | (equation 2)
Add equation 1 to equation 2:
{4 x + 5 y = -28 | (equation 1)
0 x - 2 y = 0 | (equation 2)
Divide equation 2 by 2:
{4 x + 5 y = -28 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{4 x + 5 y = -28 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = -28 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -7 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -7
, y = 0