Oints
A survey asks teachers and students whether they would like the new school
mascot to be a pirate or a moose. This table shows the results.
Pirates
Moose
Total
Students
75
15
90
Teachers
5
15
20
Total
80
30
110
A person is randomly selected from those surveyed.
Are being a student and preferring "pirate" independent events? Why or why
not?
O A. No, they are not independent because P(student) = 0.82 and
P(student|pirate) = 0.94.
O B. Yes, they are independent because P(student) = 0.82 and
P(student pirate) *0.941hy
C. No, they are not independent because P(student) - 0.82 and
P(student pirate) - 0.83.
O D. Yes, they are independent because P(student) - 0.82 and
P(student pirate) - 0.83.

Which of these equations, when solved, gives a different value of x than the other three? a9.1 = -0.2x + 10 b10 = 9.1 + 0.2x c10 – 0.2x = 9.1 d9.1 – 10 = 0.2x

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Due to bad planning, two of the local schools have their annual plays on the same weekend. while 457 people attend one, and 372 attend the other, only 104 people were able to attend both. how many people went to at least one play?