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3 years ago

Determine which expressions are polynomials. Explain your reasoning.

Mathematics

1 answer:

Tom [10]3 years ago

8 0

Answer:

A, B

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains two terms that with second and first power of x. Therefore, the expression in A is a polynomial. Option B contains three terms that with second, first power of x and coefficient. This is a polynomial too. Option C represents the absolute value of x and doesn't represent a polynomial.

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The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c

Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so $p = \frac{2}{20} = 0.1$ .

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when $n = 10$ .

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487$

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0

2 years ago

Pleasse I need help Asap!!!!<br>Help Pleaseeee

Pani-rosa [81]

Answer:

Step-by-step explanation:

simply replace x with 7!

7^2 = 49

49-16=33

7 0

1 year ago

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nordsb [41]

Im not exactly sure what you are asking but 18 + 48 is equivalent and simplified!

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2 years ago

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Andrews [41]

7/ (3*7)=
(7:7)/ (7*3): 7:)
(7:7):(21:7=
answer 1/3 or do you want full explanation of each step?

8 0

2 years ago