Select all that apply. Which of the following are independent events? You randomly choose 2 socks from a drawer, hoping they will match.
You draw a marble from a bag, replace it, and draw again.
You draw two numbers from 1 to 10 from a hat without replacing the first.
You flip a coin and roll a number cube.

the first one

Step-by-step explanation:

Dependent events -

1.You randomly choose two socks from a drawer, hoping they will match.

2.You draw two numbers from 1 to 10 from a hat without replacing them first.

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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.