Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ???

i) 0.63

ii) 0.37

iii) 0.37

iv) 0.77

v) 0.51

Step-by-step explanation:

Total resistance value = 108

A = high shock resistance

B = high scratch resistance

when a disk is selected at random

i) P(A) = P ( high shock resistance )

          = ( 55 + 13 ) / 108

          = 68/108 =  17/27   = 0.63

ii) P( B ) = P ( high scratch resistance )

            = ( 10 + 30 ) / 108

            = 40 / 108 = 10/27  = 0.37

iii) P(A') = 1 - P(A)

            = 1 - 17/27 = 10/27  = 0.37

iv) P( A U B ) = P(A) + P(B) - P( A n B )

                    = 0.63 + 0.37 - 0.233

                    = 0.766 ≈ 0.77

v) P( A' U B ) = P(A') + P(B) - P(A n B )

                     = 0.37 + 0.37 - 0.233

                     = 0.507 ≈ 0.51

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

i dont know sorry

step-by-step explanation: