The grade of a course is based on two exams: the midterm and the final, each of 100 points maximum and counts 50% of the grade. The professor grades the midterm by randomly assigning each student a score independently of other scores of mean 73 and standard deviation (which is the square root of the variance) of 15. The professor grades the final by randomly assigning each student a score independently of other scores of mean 68 and standard deviation of 10. The number of students in the class is 64. 1. Estimate the probability that the midterm class average is 70% or more.
2. Estimate the probability that the final class average is 70% or more.
3. Estimate the probability that the course class average is 70% or more.
Use the Central Limit Theorem.

the answer is 28

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

$15.40 per mile

step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock