Answer:
Option A is correct.
The domain of the g(x) is {x | x is a real number}
Step-by-step explanation:
The graph of the step function: g(x)=
Floor function is defined as the function that gives the highest integer less than or equal to x.
The graph of function: g(x)=
where x is the independent variable as shown below;
Domain of any function is the complete set of possible values of the independent variable
Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (6, 5) and (x₂, y₂ ) = (- 3, 1)
d = 
= 
= 
=
≈ 9.85 ( to 2 dec. places )
Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
62% of the voters are Democrats
This means that 
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So


0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>The base of the growth rate is:</u>
It represent a 1.6% of growth per year.
A.
B.
<u>p(55) = 7.42 means:</u>
- 55 years after 1963, in the year 2018, the population of Earth is 7.42 billions