find the average sample 1. sample 2 70. 40 60. 45 50. 43 42.5. 36.7 41. 35 average 52.7. 39.94 total average 46.32 Diameter average Greater than 19.3 less than 19.3 The average diameter for this population of 60 circles is 19.3. How many of your samples had an average diameter greater than 19.3? How many of your samples had an average diameter less than 19.3? How close is the “average of averages” you calculated to the population average of 19.3?​

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).