1.2 is the answer to your question.
The answer to the question
Answer:
A) N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B)N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
Step-by-step explanation:
A) the number of ways a 3-person subcommittee be selected from a committee of 6 people N;
Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.
N = nCr
N = 6C3
N = 6!/3!(6-3)! = 6!/3!3!
N = 720/(6×6)
N = 20 ways
a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.
B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 people N;
In this case, there is a given order of selection for the 3 posts. This is a permutation.
N = nPr
N = 6P3
N = 6!/(6-3)!
N = 6!/3!
N = 120 ways
The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.
Answer:
135.71 sea otters
Step-by-step explanation:
y = 70(1.18)^4
y = 70 x 1.9387
y = 135.71
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The polynomial using the given information can be made as shown below.
Given the zeros of the polynomial are -3, 4, and 6.
P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72
To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.
Hence, the polynomial is x³- 7x² - 6x + 72.
Learn more about Polynomials:
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