Elijah is going to spin a spinner 180 times. he predicts that 60 of those spins will result in the spinner landing on the section labeled 3. based on the theoretical probability, which best describes elijah’s prediction? elijah’s prediction is exact because 180 ÷ 3 = 60. elijah’s prediction is exact because 180 x 1/3 = 60. elijah’s prediction is high because 180 x 1/4 = 45 elijah’s prediction is low because 180 x 3/4 = 135.

Elijah’s prediction is high because 180 x 1/4 = 45

Step-by-step explanation:

Theoretical probability is found using the ratio

(# of ways an event can occur)/(total # of possible outcomes).

For this spinner, there is 1 section labeled 3 out of 4 total sections; this is a probability of 1/4.

180(1/4) = 180/4 = 45; the spinner should land on 3 around 45 times.

This means Elijah's prediction is high.

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.

faster, im not sure why but i know it is faster