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omeli [17]
3 years ago
7

The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

Length of the third side = (x - 2).

Step-by-step explanation:

We can find the  third side by  long division  of V by (x - 4)(2x + 1).

(x - 4)(2x + 1) = 2x^2 - 7x - 4 so  we have the division:

2x^2 - 7x - 4)2x3 - 11x2 +10x +8 (x - 2 <----- Quotient.

                    2x^3-7x^2 - 4x

                            -4x^2 + 14x + 8

                            -4x^2 + 14x + 8

                             ..........................

 

       

user100 [1]3 years ago
4 0

Answer:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

= 2x^2 - 7x - 4

The long division is shown on the attached photo

The length of the third side is ( x - 2 )

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In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6  others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

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Latinos = 20%

Blacks = 5%

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⇒ Number of Whites = 60% of 120

= 0.6 × 120

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Number of Latinos = 20% of 120

= 0.2 × 120

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Proportionate Stratified Sample of Blacks and Others

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= 0.15 × 120

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Count of others = 5% of 120

= 0.05 × 120

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Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

brainly.com/question/20692763

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