Consider randomly selecting a single individual and having that person test drive 3 different vehicles. define events a1, a2, and a3 by a1 5 likes vehicle [1 a2 5 likes vehicle [2 a3 5 likes vehicle [3 suppose that p(a1) 5 .55, p(a2) 5 .65, p(a3) 5 .70, p(a1 ø a2) 5 .80, p(a2 ù a3) 5 .40, and p(a1 ø a2 ø a3) 5 .88.

a. what is the probability that the individual likes both vehicle #1 and vehicle #2?

b. determine and interpret p(a2ua3).

c. are a2 and a3 independent events? answer in two different ways.

d. if you learn that the individual did not like vehicle #1, what now is the probability that he/she liked at least one of the other two vehicles?

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet