Step-by-step explanation:
If you lost "y" in the first equation.

If first equation is correct.

Answer:
Number of random samples = 962598
Step-by-step explanation:
A random sample represents the responses for a certain survey of a part of the population.
A sample size is the part of the population being surveyed.
For a population
the number of different random samples that can be chosen for a sample size
can be calculated as =
This can be calculated as :
Given:
Population size = 43
Sample size = 5
Number of random samples = 
⇒
⇒
⇒
[Canceling out the common terms]
⇒
(Answer)
Distance
|a+bi| is the length of the vector from origin to (a,b).
Answer: y = 7.5
Step-by-step explanation:
Suppose that y varies directly with x
That is, y∝x
Convert y∝x to a full equation by introducing a constant k to the right hand side.
Therefore, y = kx
Given that y = 10 and x = 20
Substitute y and x in the equation above. We have;
10 = k(20)
10 = 20k
20k = 10
k = 10/20
k = 0.5
Since k = 0.5, the equation y = kx becomes y = 0.5x
Now, to find y if x = 15, substitute x in equation y = 0.5x
Therefore, y = 0.5(15)
y = 7.5
<h3>
Answer: 282.6 square units</h3>
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Work Shown:
r = 3 is the radius of the circular base
h = 12 is the height of the cylinder
pi = 3.14 approximately
SA = surface area of the cylinder
SA = 2pi*r^2 + 2pi*r*h
SA = 2*3.14*3^2 + 2*3.14*3*12
SA = 282.6