A pair of fair dice each numbered 1 to 6 is tossed. Find the probability of a score of a. Two odd numbers
b. A sum of 8 or sum of 12

1/4

1/6

Step-by-step explanation:

a) There is a 1/2 chance of rolling a odd number each time you roll it. Why? Because there are 3 odd numbers on a 6 sided die, 1,3,5. If we roll it twice, it would be 1/2 x 1/2 so a 1/4 chance

b) For it to be a sum of 8 the following combinations are possible, where the first number is rolled first and the second number is rolled second.

2,6

3,5

4,4

5,3

6,2  

For it to be 12, it must be

6,6

There are a total of 6 ways to achieve this, and there is a total of 36 possible combinations, therefore 6/36 = 1/6 chance of rolling a sum of 8 or 12

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

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.