Noah has a toy that requires 4 batteries. Noah buys batteries with a chance of lasting more than 2/3 hours, and he wants to estimate the probability that at least one of the 4 batteries in his toy will go dead before 15 hours are up. Noah wants to use a spinner with equal-sized sections to represent each battery’s chance of lasting more than 15 hours. He will use red sections to represent a battery that dies before 15 hours are up and green sections to represent batteries that last more than 15 hours. How many of each section should Noah have in his spinner? Explain.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Joe has a rectangular chicken coop. the length of the coop is 4 feet less than twice the width. the area of the chicken coop is 510 square feet. what is the length of the chicken coup?

(10. in the figure, a aabc is drawn tocircumscribe a circle of radius 3 cm ,such thatthe segments bd and dc are respectively oflength 6 cm and 9 cm. find the length ofsides ab and ac.