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valentinak56 [21]
3 years ago
11

Consider the degree of each polynomial in the problem. The first factor has a degree of . The second factor has a degree of . Th

e third factor has a degree of . The product has a degree of .
Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:

The first factor has a degree of

2 .

The second factor has a degree of

3 .

The third factor has a degree of

2 .

The product has a degree of

7

Step-by-step explanation:

BigorU [14]3 years ago
7 0

Answer:

<h3>The first factor of the expression has a degree of 2.</h3><h3>The second factor has a degree of 3.</h3><h3>The third factor has a degree of 2.</h3><h3>The product has a degree of 7.</h3>

Step-by-step explanation:

The given expression of this problem is:

(a^{2} )(2a^{3} )(a^{2}-8a + 9)

The degree of an expression is deduct by the exponent of each power.

So, the first factor of the expression has a degree of 2, because that's the exponent.

The second factor has a degree of 3.

The third factor has a degree of 2.

Now, to know the degree of the product, we have to solve the expression, and see what is the degree of the resulting polynomial expression:

(a^{2} )(2a^{3} )(a^{2}-8a + 9)\\2a^{5}(a^{2}-8a + 9)\\2a^{7}-16a^{6}+18a^{5}

so, as you can see, the product has a degree of 7.

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Step-by-step explanation:

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There are 30 students in Mrs.Woodward’s class, and 1/2 of the class has their own cellphone.Of this group of students, 1/3 of th
Allisa [31]

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7 0
3 years ago
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A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an
navik [9.2K]

Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

50x + 100\leq 600

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

50x + 100\leq 600

Add -100 on both sides of inequality

50x + 100 - 100\leq 600 - 100\\\\50x\leq 500

Divide by 50 on both sides of inequality

\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10

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A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from
lys-0071 [83]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

\mu = 3, \sigma = 0.87

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

  • E(X) = np = 4 x 0.75 = 3.
  • \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87

More can be learned about the binomial distribution at brainly.com/question/24863377

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