The number of customers waiting for gift-wrap service at a department store is an rv x with possible values 0, 1, l 3, 4and corresponding probabilities .1, .2, .3, .25, .15. a randomly selected customer will have 1, 2, or 3 packages for wrappingwith probabilities .6, .3, and .1, respectively. let y = the total number of packages to be wrapped for the customers waitingin line (assume that the number of packages submitted by one customer is independent of the number submitted by anyother customer).a. determine p(x = 3, y = 3), le, p(3, 3).b. determine p(4, 11).

The circumference of a circle is 5 pi cm. what is the area of the circle?

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply.the equation    represents the sum of the two numbers.the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers.the equation    represents the sum of the two numbers.the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.

What is the value of x in the equation 2(x-4) = 4(2x + 1)?