Given:
The frequency distribution table.
To find:
The mean average score on a test.
Solution:
The frequency distribution table is

x a xa
y b yb
z c zc
Sum a+b+c xa+yb+zc
Now, the mean average score on the test is


Therefore, the mean average score on the test is
.
Answer:
DI = 38
Step-by-step explanation:
Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
2DI = 76 ( divide both sides by 2 )
DI = 38
Answer:

Step-by-step explanation:
The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.
The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):


The integral will be the subtraction of the curve
and
(In the graph you can see y=3x is the upper curve):

Answer:
By inspection you need 2 numbers that multiply together to 18 and sum to 3. These numbers are 6 and 3. Therefore we have to find the value of x but we dont have that so we have this:
x to the power of 2-3x - 18 = ( X - 6) ( x + 3)