In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in the center. in this experiment, 34 subjects chose the pair of socks in the center. what is the probability, p , that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random? use the normal approximation first. if your software allows, find the exact binomial probability, , and compare the two. (enter your answers rounded to four decimal places.)

Charles is on a 8 1/2 mile bike ride. he stops for a rest after he’s gone 5 2/5 miles. how much farther does he still have to go?

Jonathan pays $1.90 per pound for potatoes. he buys 8.3 pounds of potatoes. he determines that he will pay $15.77, before tax, for the potatoes. which best describes the reasonableness of jonathan’s solution? jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product. jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product. jonathan’s answer is reasonable because is 16, and 16 is close to 15.77. jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.

The classrooms are trying to raise $1,200.00 for charity. mrs. leblanc's class has raised 50%. mr. patel's class has raised $235.14 ms. warner's class has raised 1/3 as much as mrs. leblanc's class. how much more money is needed to reach the goal of $1,200.00?