Aditi downloads ten paid apps and sixteen free apps on her tablet. fourteen of them are game apps, and she paid for five of the game apps. complete the statements to determine if the events “paid” and “game” are independent. p(paid) = p(paid | game) = the events “paid” and “game” are .

Match each function with the corresponding function formula when h(x)=5-3x and g(x)=-3+5

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Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.