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)
Mike's withdrawals will be treated as negative numbers.
Since Mike withdrew $60 three times, use the following equation to find the change in his balance:
The change in Mike's account balance will be
-$180.
Answer:
Subtract 11 from both sides
Step-by-step explanation:
Answer:
A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).
You can also just say: A periodic function is one that repeats itself in regular intervals.
Step-by-step explanation:
The smallest value of T is called the period of the function.
Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.
For example, here's the graph of sin x. [REFER TO PICTURE BELOW]
Sin x is a periodic function with period 2π because sin(x+2π)=sinx
Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.
In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Hopefully this helped a bit.
Answer:
a) 20
b) 7
c) 18
d) 5
e) 36
f) 72
g) 10
Step-by-step explanation:
