Agroup of students were surveyed to find out if they like bike riding and/or roller skating as a hobby. the results of the survey are shown below: 80 students like bike riding 20 students like bike riding but do not like skating 90 students like skating 40 students do not like bike riding make a two-way table to represent the data and use the table to answer the following questions. part a: what percentage of the total students surveyed like both bike riding and skating? show your work. (5 points) part b: what is the probability that a student who does not like bike riding also does not like skating? explain your answer. (5 points)

Ou have a 20-ounce bottle of juice. you pour out 14 of the bottle to share with a friend. if you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle? clear check 35 25 12 1320

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.

2. there are 250 students in a school auditorium. use numbers from the box to complete the table. 16, 38, 18, 45, 25, 50, 32, 60 grade number percent of all students of students fifth 24 sixth 95 seventh 20 eight 45