Step-by-step explanation:
According to normal distribution curves following a bell curve formula, it is followed that
34% of people will lie between Mean point and one positive standard deviation
34% of people will lie between Mean point and one negative standard deviation
14% of people will lie between Mean point and two positive standard deviation
14% of people will lie between Mean point and two negative standard deviation
2% of people will lie between Mean point and three positive standard deviation
2% of people will lie between Mean point and three negative standard deviation
Now following this principle, we are given that mean score is 80 and standard deviation is 8, hence the interval for grades would be;
Grade A ; Score greater than 96
Grade B : Score greater than 88 and less than or equal to 96
Grade C : Score greater than 80 and less than or equal to 88
Grade D : Score greater than 72 and less than or equal to 80
Grade E : Score greater than 64 and less than or equal to 72
Grade F : Score less than 64
Answer:
0.508
Step-by-step explanation:
Two sides are the same length one angle measures 90 degrees
Here are the steps required for Simplifying Radicals:
Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.
Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.
Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.
Shorter version:
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.
