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emmainna [20.7K]
3 years ago
14

Determine if the expression - 4x²/2 is a polynomial or not. If it is a polynomial,

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

Step-by-step explanation:

Yes this is a  polynomial.

Type - monomial

Degree = 2              {Highest power of the variable is the degree}

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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm
disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC  evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let \mu = <em><u>true mean family income for Mexican migrants.</u></em>

So, Null Hypothesis, H_0 : \mu = $27,000     {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, H_A : \mu \neq $27,000     {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean family income = $30,000

            s = sample standard deviation = $10,000

            n = sample of Mexican family = 25

So, <u><em>the test statistics</em></u>  =  \frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }  ~ t_2_4

                                     =  1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.</u>

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0
3 years ago
Segment lm is the midsegment of trapezoid abcd. ab = 58, and dc = 98. what is lm?
kifflom [539]
Lm would be 78 because it is halfway between ab and dc and 98-58=40 and half of 40=20, so 58+20=78 or 98-20=78.
3 0
3 years ago
What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?
Juli2301 [7.4K]

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

2\sqrt{x-5}

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}

Hence, option A is true.

3 0
3 years ago
Read 2 more answers
You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches usi
kogti [31]

250 lunches are produced by the small business in last week.

<u>Step-by-step explanation:</u>

It is given that,

  • y ⇒ the average cost per week.
  • x ⇒ the number of lunches produced per week.

The function relating these two factors x and y is given as y = 2.1x + 75

  • The cost of the last week is y = $600.
  • The lunches made last week is x = unknown.

<u>To find the value of x :</u>

Substitute y= 600 in the given function,

⇒ 600 = 2.1x + 75

⇒ 2.1x = 600 - 75

⇒ x = 525 / 2.1

⇒ x = 250

Therefore, the lunches prepared last week is 250.

6 0
3 years ago
Slove:33/29=46/x. Try to find the answer.
Tju [1.3M]

Answer:

x=40\frac{14}{33}

Step-by-step explanation:

we have

\frac{33}{29}=\frac{46}{x}

Solve for x

Multiply in cross

(33)(x)=(46)(29)

Divide by 33 both sides (Division Property of Equality)

x=46(29)/33

x=\frac{1,334}{33}

Convert to mixed number

x=\frac{1,334}{33}=\frac{1,320}{33}+\frac{14}{33}=40\frac{14}{33}

5 0
3 years ago
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