Answer:
The null hypothesis states that 48% of the healthcare provider's members received their flu shot.
The alternative hypothesis claims that the proportion of members who received their flu shot differs from 48%.
Step-by-step explanation:
A null hypothesis is a proposed statement regarding a population parameter that is tested for acceptance or rejection.
An alternative hypothesis presents a contradicting statement to the null hypothesis and is accepted when evidence disproves the null hypothesis.
Response:
A quadratic equation has solutions of 6 and -2.
Thus, if the variable is denoted by X, the factors of the polynomial function will be (X - 6) and (X + 2).
Thus, the equation can be represented as
(X - 6)(X + 2) = 0
⇒
If the leading coefficient is 3, we can express the equation as
(Response)
Answer:
3876
Step-by-step explanation:
We have the following data:
Members of the fraternity = 20
Their attendance at five parties is organized into groups of four.
This indicates that each group consists of 4 individuals.
At least one brother will be present at exactly one of the gatherings. (The brothers are indistinguishable).
Thus, precisely one brother at a gathering leaves (20 - 1) = 19, due to their indistinct nature.
Group sizes are in fours.
Calculating 19C4:
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
