Suppose you have a bag with 20 letter tiles in it and 9 of the tiles are the letter V. If you pick a letter tile at random from the​ bag, the probability that it is the letter V is 9/20. Suppose another bag has 500 letter tiles in it and 210 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V​?

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

Is the point (0, 8) on the x-axis or y-axis? how do you know?