Ilya's bank issued an advertisement saying that 90%90\%90%90, percent of its customers are satisfied with the bank’s services. Since he himself wasn't very satisfied, he suspected the ad is false. He surveyed a random sample of 80808080 of the bank’s customers, and found that only 85%85\%85%85, percent were satisfied. Let's test the hypothesis that the actual percentage of satisfied customers is 90%90\%90%90, percent versus the alternative that the actual percentage is lower than that.
The table below sums up the results of 1000100010001000 simulations, each simulating a sample of 80808080 customers, assuming there are 90%90\%90%90, percent satisfied customers.
According to the simulations, what is the probability of getting a sample with 85%85\%85%85, percent satisfied customers or less

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

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.

step-by-step explanation:

im not sure what the answer is

answer: the answer is 110