Middle school class representatives conducted a poll during lunch to see which activity students wanted for their year-end party. The results are shown in this relative frequency table: a) For the entire school, which was more popular, water slides or roller skating?

b) 34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides?

c) Does there seem to an association between grade level and field trip choice?

d) If this trend continued, would you expect 9th graders to prefer the water slides or roller skating? Explain your answer.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

can i see the following ?

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560