Let X denote the mean of a random sample of size 25 from a gamma-type distribution with α = 4 and β > 0. Use the Central Limit Theorem to find an approximate 0.9544 confidence interval for β, the mean of the gamma distribution. Hint: Use the random variable (X − 4β)/ p 4β 2/25 = 5X/2β − 10.

Which of the following parabolas opens down?

Nicolo paganini's numbers 1184 and 1210 are amicable. the proper divisors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, and 592. the proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, and 605. use the definition of amicable (friendly) numbers to show that they are indeed amicable. which of the folowing statement uses the definition of amicable numbers to show that 1184 and 1210 are indeed amicable? o a. o b. ° c. the sum of proper divisors of 1184 is 1210 and the sum of proper divisors of 1210 is 1184 the sum of proper divisors of 1184 is greater than 1210 and the sum of proper divisors of 1210 is greater than 1184 the sum of proper divisors of 1184 is less than 1210 and the sum of proper divisors of 1210 is less than 1184

Determine the following data for the quadratic relation f(x) = -3(x+2)(x-3)? i. direction of opening: ii. x-intercepts: iii. y-intecept: iv. axis of symmetry: v. vertex: