A student's grades in the three tests in College Algebra are 85, 60, and 69. a) How many points does the student need on the final to average 74? b) Find part (a), assuming that the final carries double the weight. a) The student must score on the final. (Type an integer or a decimal.) b) The student must score on the final, assuming that the final carries double the weight. (Type an integer or a decimal.) A company manufactures shaving sets for $ each

(a) The student need 82 points on the final to average 74.

(b) The student must score 41 points on the final, assuming that the final carries double the weight.

Step-by-step explanation:

We are given that a student's grades in the three tests in College Algebra are 85, 60, and 69.

As we know that the formula for calculating the average of numbers is given by;

          Average (Mean)  =  

(a) Let the points student need on the final test to average 74 be ''.

So, Average of all four test  =  

Hence, the student needs 82 points on the final to average 74.

(b) It is given that the final carries double the weight, this means that let the points student need on the final test to average 74 be ''.

So, Average of all four test  =  

                        = 41

Hence, the student must score on the final 41 points, assuming that the final carries double the weight.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: