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a_sh-v [17]
3 years ago
15

Divide the polynomials using long division.

Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

1.x+1 with -5 as the remainder. 2.4x+15 with 40 as the remainder. 3.2x-16 with 68 as the remainder.

Step-by-step explanation:

Do the division house thing. put x square plus 4x minus 2 inside. multiply by x and put it on the roof. you will have x square plus 4x minus x square minus 3x. the x squares cancel out. Bring down the -2 and 1x from the subtraction before. u will have 1x-2. multiply by 1 to x-3. the x cancels and -2-3 equals -5. so 5 is the remainder. do the same house, and roof structure. Multiply by 4x...put on roof. the 4x squares cancels out. and 4x times 2 equals 8x. 8x+7x equals 15x. bring down the 10. multiply by 15. the x cancels. then 10+30(from 15x2) equals 40. 40 is the remainder. do the same ti tge third. 2x times x equals 2x square. the 2x squares cancels. multiply 2x by 5. -10x-6x=-16x. bring down the -12. multiply by -16. -16x+16x cancels out. since 16times -5 equals 80, bring the 18 down. it will be -12+80 which equals 68..positive 68 as the remainder. hope i helped

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Answer:

a) Y= 90 +46.50(5) +0.35 (340) =441.50

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model​ = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

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Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

Y= 90 +46.50 x_1 +0.35 x_2

Where x_1 represent the number of days on the road and x_2 the distance traveled in miles.

And we want to find the expected amount from a 340​-mile trip that took her out of town for 5 ​days, so we just need to replace x1= 5 and x2=340 and we got:

Y= 90 +46.50(5) +0.35 (340) =441.50

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

Y= 90 +46.50(55) +0.35 (340) =441.50

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

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