Suppose that a certain college class contains 51 students. Of these, 27 are sophomores, 26 are physics majors, and 11 are neither. A student is selected at random from the class (a) What is the probability that the student is both a sophomore and a physics major? (b) Given that the student selected is a physics major, what is the probability that he is also a sophomore? Write your responses as fractions (If necessary, consult a list of formulas.) (b) D MacBook Air 1 5 6 2 3

a. sophomore and physics major = 13/51

b. also sophomore given that a selected student is a physics major = 1/2

Step-by-step explanation:

Please kindly check the attached files for explanation.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: