Suppose that in a certain metropolitan area, seven out of 10 households have cable tv. let x denote the number among six randomly selected households that have cable tv, so x is a binomial random variable with n = 6 and p = 0.7. (round your answers to four decimal places.)
(a) calculate p(3) = p(x = 3).
p(3) =

(b) calculate p(6), the probability that all six selected households have cable tv.
p(6) =

(c) determine p(x ? 5).
p(x ? 5) =

Are the corresponding angles congruent? explain why or why not.

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.

Which graph represents the given linear function 4x+2y=3