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Mars2501 [29]
3 years ago
8

Plss help me in this

Mathematics
2 answers:
Alla [95]3 years ago
8 0

Answer: Hello, my name is woods 245. And I'm here to answer your question.

So what do you need with and I will help you with it.

Step-by-step explanation:

Elan Coil [88]3 years ago
3 0

Answer:

3+\sqrt{3} , 5\sqrt{5}, 2\sqrt{2}, and 18 -2\sqrt{2}

Step-by-Step Explanation:

1)

\sqrt{3}(\sqrt{3}+1)

Distribute the square root:

\sqrt{9}+\sqrt{3}

3+\sqrt{3}

2)

(\sqrt{5} )(\sqrt{5} )(\sqrt{5} )

\sqrt{(5)(5)(5)}

\sqrt{(25)(5)}

(\sqrt{25}) (\sqrt{5)}

5\sqrt{5}

3)

(\sqrt{2} )(\sqrt{2} )(\sqrt{2} )

\sqrt{(2)(2)(2)}

\sqrt{(4)(2)}

(\sqrt{4}) (\sqrt{2)}

2\sqrt{2}

4)

(3\sqrt{2})^{2} -2\sqrt{2}

(9)(2) -2\sqrt{2}

18 -2\sqrt{2}

If you need it factored:

2(9-\sqrt{2})

Keep in mind that square roots can be positive<em> or</em> negative.

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Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
3 years ago
hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same
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Answer:

p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

p(x) = 6-x and

q(x) = 6x

First of all, let us have a look at the definition of domain and range.

Domain of a function y =f(x) is the set of input value i.e. the value of x for which the function f(x) is defined.

Range of a function y =f(x) is the set of output value i.e. the value of y or f(x) for the values of x in the domain.

Now, let us consider the given functions one by one:

p(x) = 6-x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which p(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

q(x) = 6x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which q(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

Hence, the correct answer is:

p(x) and q(x) have the same domain and the same range.

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Gnoma [55]

Answer:

Step-by-step explanation:

Note that 20 (an approximation for 205) less 4 (an approx. for 431) comes out to 16.

This tells us that the proper placement of the decimals is

20.50

-   4.31

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and this comes out to 16.19.

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