Two samples were taken at a shopping mall. In each sample, 200 shoppers were asked which fruit they preferred. A 4-column table with 3 rows. Column 1 has entries Sample 1, Sample 2, Average. Column 2 is labeled Apple with entries 84, 92, 88. Column 3 is labeled Banana with entries 90, 88, 89. Column 3 is labeled Strawberry with entries 26, 20, 23. Given the results in the table, which inference can be made? More people prefer strawberries than prefer apples. More people prefer strawberries than prefer bananas. About the same number of people prefer apples and bananas. Many more people prefer bananas than prefer apples or strawberries.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).