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2 years ago

Express as a trinomial.

Mathematics

2 answers:

guapka [62]2 years ago

6 0

Answer:

Step-by-step explanation:

Use Foil

f: x * x = x^2

o: x * 1 = x

i: x * 1 = x

l: 1 * 1

x^2 + x + x + 1

x^2 + 2x + 1

AfilCa [17]2 years ago

5 0

Answer:

$x^2+2x+1$

Step-by-step explanation:

When given the following trinomial,

$(x+1)(x+1)$

Distribute, multiply every term in one of the parenthesis by every term in the other,

$(x)(x)+(1)(x)+(1)(x)+(1)(1)$

Simplify,

$x^2+x+x+1$

Combine like terms

$x^2+2x+1$

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HELP ME WHICH ANSWER

SIZIF [17.4K]

Answer:

Step-by-step explanation:

30 : 13 = 30/13

8 0

2 years ago

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A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimat

Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

For this problem, we consider that we want it to be within 4%.

Item a:

The sample size is <u>n for which M = 0.04.</u>

There is no estimate, hence $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2$

$n = 600.25$

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is $\pi = 0.96$ , hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}$

$\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2$

$n = 92.2$

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to $\pi = 0.5$ , the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151

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2 years ago

Use the Remainder Theorem to find the remainder for (2x^3-3x^2+6)/(x-1) and state whether or not the binomial is a factor of the

Bezzdna [24]

Answer:

Remainder= 5, and the binomial $(x-1)$ is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is $(2x^3-3x^2+6)$ , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if $(x-a)$ is a factor then remiander would be $f(a)$

Therefore for $(x-1), \ {we find}\ f(1)}$

$f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5$

Thus the remainder is 5 and since it is not 0 , so the binomial $(x-1)$ is not a factor of the given polynomial.

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2 years ago

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What is the five-number summary for this data set?

Free_Kalibri [48]

Answer:

Step-by-step explanation:

min and max are correctly the same for all 4 answers.

we have 10 data points, so, the median is the mean value between the 2 middle numbers, 19 and 22 : 20.5.

ah, it can be only C or D.

Q1 is the median of the lower half of data points (13 out of 11, 12, 13, 17, 19). and Q3 is the median of the upper half of data points (29 out of 22, 24, 29, 33, 38).

so, C is correct.

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1 year ago

Divide the given polynomial by given monomial.

IceJOKER [234]

Answer:

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