A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 2 ft and period 5 seconds. Its displacement d from sea level at time t=0 seconds is 0 ft, and initially it moves downward. (Note that downward is the negative direction.) Give the equation modeling the displacement d as a function of time t. d=

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Your client has saved $1,860 for a down payment on a house. a government loan program requires a down payment equal to 3% of the loan amount. what is the largest loan amount that your client could receive with this program

The square pyramid has a volume of 441 cubic inches. what is the value of x? 1/7x is the height x is the base