Agroup of nine singers includes 6 altos and 3 sopranos. an instructor randomly selects one of the singers to sing the first part of a duet and a different singer to sing the second part of a duet. use a sample space to determine whether randomly selecting an alto first and randomly selecting a soprano second are independent events.

How many $20 bills do you need to have to make $280

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field