Answer:
6
Step-by-step explanation:
See image below:)
A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a red marble, replacing it, and then picking a
1 answer:
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Option a: polynomial has 5 terms.
Option c: The constant term is 4.
Explanation:
The polynomial is
Option a: Polynomial has 5 terms
From the polynomial, we have,
1st term =
2nd term =
3rd term =
4th term =
5th term =
Hence, the polynomial has 5 terms.
Thus, Option a is the correct answer.
Option b: The leading coefficient is -2 and the degree of the polynomial is 7.
The leading coefficient is the coefficient of the variable with the largest degree.
The degree of the polynomial can be determine by the adding the powers of the variable.
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.
The polynomial has a largest degree of 9 and the leading coefficient is -10.
Hence, Option b is not the correct answer.
Option c: The constant term is 4.
The constant term is a term in which variable will not occur.
From the polynomial , we can see that the constant term is 4.
Hence, Option c is the correct answer.
Option d: Polynomial is in decreasing degree order
The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.
From the polynomial, we have,
degree of 1st term = =
degree of 2nd term =
degree of 3rd term =
degree of 4th term =
degree of 5th term =
where the degree of the 3rd term is not less than the 4th term.
Thus, the polynomial is not in decreasing degree order.
Hence, Option d is not the correct answer.
So,
The probability of drawing a yellow marble is
.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:.
The probability of drawing a red marble is
.
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.
Because the order of the marbles doesn't matter, we will multiply the probability by 3.
The probability of drawing a yellow marble is
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:
The probability of drawing a red marble is
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.
Because the order of the marbles doesn't matter, we will multiply the probability by 3.