Sebastian wants to estimate the proportion of the sophomores at his high school who like to waterski. he interviews a simple random sample of 60 of the 150 sophomores on campus. he finds that 19 like to waterski. is the independent condition for finding confidence intervals met? explain.(a) yes, the independent condition for finding confidence intervals is met because npì‚ = 19 and n(1 − pì‚) = 41, both of which are at least 10.(b) yes, the independent condition for finding confidence intervals is met because the sample size is greater than 30.(c) no, the independent condition for finding confidence intervals is not met because npì‚ = 19 and n(1 − pì‚) = 41, both of which are less than 100.(d) no, the independent condition for finding confidence intervals is not met, because 60 is more than 10% of 150.(e) yes, the independent condition for finding confidence intervals is met because the sample is a simple random sample.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

56 44 2 4

step-by-step explanation:

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.

answer: youre the sweetest thing for that