In the united states, there has historically been a strong relationship between smoking and education, with well-educated people less likely to smoke. to examine whether this pattern has changed, a sample of 459 men was selected at random from those who had visited a health center for a routine check-up over the course of the past year. education is classified into three categories corresponding to the highest level of education achieved, and smoking status is classified into four categories. smoking status education nonsmoker former moderate heavy total high school 56 54 41 36 187 college 37 43 27 32 139 graduate school 53 28 36 16 133 total 146 125 104 84 459 the proportion of men with a high school education that are current or former smokers is

a) 0.12. b) 0.30. c) 0.78. d) 0.70.

d) 0.70.

Step-by-step explanation:

High School Education = 187 men

High School Education and former smoker = 54 men

High School Education and moderate smoker =41 men

High School Education and heavy smoker = 36 men

The proportion of men with a high school education that are current or former smokers is given by the sum of former, moderate and heavy smokers with a high school education divided by the total number of men with a high school education sampled:

The proportion is 0.70.

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.

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.