A survey is carried out on police cadets in a school. (a) It is found that the mean number of police cadets is 165, the variance is 132 and the probability that a pupil is a police cadet is p. (i) Find the value of p. (ii) If 10 pupils from the school are chosen at random, find the probability that less than 3 pupils are police cadets.​

Find the midpoint m of z1=(8+5i) and z2=(12+3i)

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.