Determine if the expression -8c-9c^4d^2−8c−9c
1 answer:
Answer:
is a polynomial of type binomial and has a degree 6.
Step-by-step explanation:
Given the polynomial expression
Group like terms
Add similar elements: -8c-8c-9c=-25c
Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.
Each term has a degree equal to the sum of the exponents on the variables.
The degree of the polynomial is the greatest of those.
25c has a degree 1
has a degree 6. (adding the exponents of two variables 'c' and 'd').
Thus,
is a polynomial of type binomial and has a degree 6.
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Answer:
31.82% probability that you will receive 2 apples.
Step-by-step explanation:
The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
5 + 7 = 12 total fruits, which means that
7 apples, which means that
You receive 2 fruits, which means that
What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?
This is, as a proportion, P(X = 2). So
0.3182*100% = 31.82%
31.82% probability that you will receive 2 apples.