A magic goose that lays golden eggs follows a particular laying pattern. The first day of the week, the goose lays two golden eggs. Each day thereafter the goose lays double the number of eggs on the previous day. How many golden eggs does the goose lay on the fifth day?

You have four pairs of socks, one pair each of red, blue, white, and green. Each morning, you reach into the drawer and pick out two random socks. How many days could go by before you picked exactly the same two colors of socks again?

hand written asap don't answer after 8.25 pm

A ballroom dance couple has learned 11 different routines and needs to pick 6 of them to prepare for an upcoming local competition. How many different ways could they choose which dances to prepare?

so which one is it 1, 2, 3, or 4?

A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…

Experimental or Observational: A group of students is interested in knowing if the number of times they can sink a basketball is related to the color of the basketball. The students shoot a series of baskets and record their success using a regulation colored basketball.  They then switch to a blue colored basketball and shoot the same series of baskets.  .