Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
or we can write this fraction as 
So, the probability of rolling a number less than 5 is 
Answer:
a) True
b) Parameter
Step-by-step explanation:
We are given the following in the question:
An accounting professor wants to know the average GPA of the students enrolled in her class.
Population:
- It is defined as the collection of all variables of interest.
- A sample of individuals of interest is drawn from a population.
For the given case
Individuals of interest:
Students enrolled in accounting class
Population of interest:
Students enrolled in accounting class
Characteristic of interest:
Average GPA of the students enrolled in her class.
a) The population is all students enrolled in the accounting class.
The given statement is true as it contains all the observation of all the individuals of interest.
b) The computed average GPA of all the students enrolled in the class is 3.29
Statistic is a descriptive measure that describes a sample where as a parameter is a measure that describes the population.
Since 3.29 is the average of all the students enrolled in her class that is the average GPA of population.
Thus, 3.29 is a parameter.
Answer:
e
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Step-by-step explanation: f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
)
=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
2
x
−
3
)
=
(
2
x
−
3
)
2
−
2
(
2
x
−
3
)
=
(
2
x
−
3
)
(
2
x
−
3
−
2
)
=
(
2
x
−
3
)
(
2
x
−
5
)
f
∘
g
(
x
)
≠
g
∘
f
(
x
)
If the roots to such a polynomial are 2 and

, then we can write it as

courtesy of the fundamental theorem of algebra. Now expanding yields

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.
So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use

as a root. In this case, that would make our polynomial

so that the answer is (probably) the third choice.
Whoever originally wrote this question should reevaluate their word choice...
Okay.. well did you try to do it on your own at least ? I help you, but what do you know already so we can go on from there.