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Vlad [161]
3 years ago
15

What is the sum of the rational expression below? 3x/x+2 + x/x+4

Mathematics
2 answers:
ahrayia [7]3 years ago
8 0

Answer: 4x^2 + 14x / x^2 + 6x + 8

Step-by-step explanation: A P E X

Darya [45]3 years ago
7 0

Ans

Step-by-step explanation:

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Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b
Alina [70]

Answer:

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 28.983051

Chi-square value = χ² = 2.154239

Degree of freedom = 1

Critical value = 3.841

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

Step-by-step explanation:

He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices.

So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles.

Null hypothesis = H₀ = There food preferences among vole species are independent of one another.

Alternate hypothesis = H₁ = There is a relationship between voles and food preference.

Data collected by Dr. Pagels:

                                              meadow voles     common voles      Row Total

apple slices                                     26                          32                      58

peanut butter-oatmeal                   35                          25                     60

Column Total                                   61                          57                     118

Where 118 is the grand total.

The expected number is given by

Expected = (row total)×(column total)/grand total

Expected meadow vole/apple slices = 58×61/118

Expected meadow vole/apple slices = 29.983051

Expected common vole/apple slices = 58×57/118

Expected common vole/apple slices = 28.016949

Expected meadow vole/peanut butter-oatmeal = 60×61/118

Expected meadow vole/peanut butter-oatmeal = 31.016949

Expected common vole/peanut butter-oatmeal = 60×57/118

Expected common vole/peanut butter-oatmeal = 28.983051

The chi-square statistic value is given by

χ² = Σ(Observed - Expected)²/Expected

χ² = (26 - 29.983051)²/29.983051 + (32 - 28.016949)²/28.016949 + (35 - 31.016949)²/31.016949 + (25 - 28.983051)²/28.983051

χ² = 2.154239

The degrees of freedom is given by

DoF = (row - 1)×(col - 1)

For the given case, we have 2 rows and 2 columns

DoF = (2 - 1)×(2 - 1)

DoF = 1

The given level of significance = 0.05

The critical value from the chi-square table at α = 0.05 and DoF = 1 is found to be

Critical value = 3.841

Conclusion:

Reject H₀ If χ² > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

For the given case,

χ² < Critical value

We failed to reject H₀

We do not have significant evidence at the given significance level to show that there is a relationship between voles and food preference.

8 0
3 years ago
Find the difference of the two polynomials : (2t^3 + 3t -4)-(4t^2 - 6t)
Natalija [7]
Distribute the - which changes the signs in the second parenthesis.
2t^3 + 3t - 4 - 4t^2 + 6t
Combine like terms, must have same exponent. Write in order of degree.
2t^3 - 4t^2 + 9t - 4
3 0
3 years ago
The following frequency table shows the essay scores by students in Mr. Ji's class.
topjm [15]
They would be 4 more points because it’s less then on their essay but okay yeah
7 0
3 years ago
Read 2 more answers
Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ
Nata [24]

Yarin can expect a $200 refund.

<h3>What is the difference between state tax and federal tax?</h3>

The differences between state and federal taxes as state taxes are collected by individual state governments to pay their unique state bills, as opposed to federal income taxes, which are collected by the federal government to pay for its expenses.

Given:

Yarin's gross pay for the year was $3,500.

The federal income tax withholding from his pay was 9% of his gross pay.

So,

=   9% of 3,500

=   (9/100)(3,500)

= 0.09(3,500)

= $315

Now, Yarin determined the federal income tax he owes is $115.

Refund expected = $315- $115

                            = $200

Hence, Yarin can expect a $200 refund.

Learn more about the federal income tax here:

brainly.com/question/2733100

#SPJ1

6 0
2 years ago
Don't know what to do
aivan3 [116]

Graph those on the number line


3 0
3 years ago
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