In a survey conducted by the Pew Research Center in 2010 41% of Americans support the legalization of marijuana in the U. S. The researchers note that the margin of error is ± 3% using 95% confidence. What does this margin of error tell you about the results of the survey?

A) We are 95% confident that the results are off by 3%.
B) 3% of the respondents gave a fake answer.
C) We can be 95% confident that the proportion of all Americans who support legalization of marijuana is within 3% of 41%.
D) We are certain that the proportion of all Americans who support legalization of marijuana is between 38% and 44%.


C

the least common denominator is 40

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

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.