A football player runs directly south down the field for 35 m before turning to the right at an angle of 25° west of south and running an additional 45 m before getting tackled What is the
magnitude and direction of the runner's total displacement?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Marco has $38.43 dollars in his checking account. his checking account is linked to his amazon music account so he can buy music. the songs he purchases cost $1.29. part 1: write an expression to describe the amount of money in his checking account in relationship to the number of songs he purchases. part 2: describe what the variable represents in this situation.

Adam used 1072.4 gallons of water over the course of 7 days. how much water did adam use, on average, each day?