#1. The average annual income in Florida is -$49,000. Assume the standard deviation is $10,000. If we take a sample of 30 people, what is mean of the sampling distribution? #2. The average annual income in Florida is -$49,000. Assume the standard deviation is $10,000. If we take a sample of 30 people, what is standard deviation of the sampling distribution?

#3. The average annual income in Florida is -$49,000. Assume the standard deviation is $10,000. If we take a sample of 30 people, what is the probability that the average of their income will be between $50,000 and 100,000?

One positive integer is 2 less than another. the product of the two integers is 24. what are the integers?

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).

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).