Assuming that x is a binomial random variable with n = 10 and p = 0.25, find the probability, p for each of the following values of x. (a) x = 5. (give the answer to four decimal places.) p(x = 5) = (b) x = 2. (give the answer to four decimal places.) p(x = 2) = (c) x = 1. (give the answer to four decimal places.) p(x = 1) = (d) x = 9. (give the answer to seven decimal places.) p(x = 9) =

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Brainlest answer can you find the area and circumference of a circle given the radius or diameter? if its yes or no explain why