2. There are four natural numbers whose sum is a prime number. It turned out that among these four numbers, the sum of some three is a prime number and the sum of some two is a prime number. What is the smallest value that the sum of these four numbers can be equal to? Urgently help!

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Write the equation in logarithmic form 8^x=64

You're locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window?