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?

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun