A glass blower is making a living selling glassware on Etsy. One day, out of the blue, she gets a rush order from one of her previous customers. The customer needs 100 vases made in 4 weeks for a wedding party. The glassblower recognizes this as a great opportunity to expand her business, but up until now, she's never had to handle such a large order, let alone in such a short time frame. The glassblower knows of two methods to make the vases in question: we'll call them A and B. The results are indistinguishable when the method is successful, but both methods carry a risk of defect which would render a vase unusable for the order. Method A is slower, but more likely to result in success. Specifically, she'll have time to make 110 vases using method A, or 125 using method B. Each vase made using method A has a 6% chance of being defective, while each vase made using method B has a 14% chance of being defective. The glass blower's only concern is having 100 non-defective vases ready before the four weeks are up. What is her probability of succeeding using each method, and which method should she use

You will get 25 points an image of a rectangular prism is shown below: part a: a cross section of the prism is cut with a plane parallel to the base. what is the name of the shape created by the cross section? explain your answer. (5 points) part b: if a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? explain your answer. (5 points)

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Oliver read for 450 minutes this month his goal was to read for 10% more minutes next month if all of her medicine go how many minutes will you read all during the next two months