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3 years ago

What is true about the sum of two polynomials?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

The sum is a binomial of degree 3.

Step-by-step explanation:

You are adding two binomials. Each binomial has two terms.

The terms 6s^2t and 4s^2t are like terms and combine to give the sum 10s^2t.

The terms -2st^2 and -3st^2 are like terms and combine to give the sum -5st^2.

The sum of the binomials is the binomial 10s^2t - 5st^2.

Since each original binomial is of degree 3, the sum is also of degree 3.

Answer: The sum is a binomial of degree 3.

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3 years ago

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3 years ago

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

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

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

3 years ago

Solve. -1/3b = 9<br> A.-3<br> B.3<br> C.-27<br> D.27

STALIN [3.7K]

Ok so lets plug in a first -1/3(-3) would equal 9 a is the accurate answer

3 0

3 years ago

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