Charlie has 4 red buttons, 3 blue buttons, 7 green buttons, and 5 yellow buttons in his pocket.

what is the probability charlie will reach in his pocket and pull out a red button?

Explain how you do each step what term makes it inconsistent y=2x - 4 ?

How long must $542 be invested at a rate of 7% to earn $303.52 in interest? in a easier way

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).