An introduction to chemistry class weights grades as given: 50% for exams, 25% for labs, 15% for quizzes, and 10% for homework. A student performs well throughout the semester and earns the following averages: 89% on exams, 96% on labs, 78% on quizzes, and 92% on homework. What is the student’s final grade? Round to the nearest percent.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Two cyclists 84 miles apart start riding toward each other at the samen time. one cycles 2 times as fast as the other. if they meet 4 hours later what is the speed (in miles) of the faster cyclists

Y= a(x-3)squared-1 what is the value of a