Combined Variation and Proportion problems
Combined Variation and Proportion example question
If z varies directly as the square root of x and inversely as y, and z = 5 when x = 3 and y = 12, find z when x = 27 and y = 5.
Solution to this Combined Variation and Proportion practice problem is provided in the video below!
Joint Variation and Proportion problems
Joint Variation and Proportion example question
If z varies jointly as x and y, and z = 3 when x = 4 and y = 6, find z when x = 20 and y = 9.
Solution to this Joint Variation and Proportion practice problem is provided in the video below!
Inverse Variation and Proportion problems
Inverse Variation and Proportion example question
If y varies inversely as the square root of x, and y = 2 when x = , find y when x = 2.
Solution to this Inverse Variation and Proportion practice problem is provided in the video below!
Direct Variation and Proportion problems
Direct Variation and Proportion example question
If y varies directly as the fourth power of x, and y = 2 when x = , find y when x = 2.
Solution to this Direct Variation and Proportion practice problem is provided in the video below!
Composite Functions problems
Hard Composite Functions example question
Using the four given functions
Express the following Functions in Composite form:
Solution to this Composite Functions practice problem is provided in the video below!
Angles, Parallel Lines and Transversals problems
Angle Theorems Parallel Lines and Transversals example question
The following figure shows two parallel lines l and m and a transversal.
Use this figure to answer the following questions:
a)
b)
c)
d)
e)
f)
g)
Solution to this Angles Parallel Lines Transversal Geometry practice problem is provided in the video below!
Angle Theorems Parallel Lines and Transversals example problem #2
Use the following figure to find the values of x and y.
Solution to this Angles Parallel Lines Transversal Geometry practice problem is provided in the video below!
Angle Theorems Parallel Lines and Transversals example #3
Use the figure below to solve for the values of x and y.
Solution to this Angles Parallel Lines Transversal Geometry practice problem is provided in the video below!
Angle Theorems Parallel Lines and Transversals example question #4
Use the given figure below to find the values of x and y.
Solution to this Angles Parallel Lines Transversal Geometry practice problem is provided in the video below!
Angle Theorems Parallel Lines and Transversals example problem #5
The figure below shows a polygon with some interior angle measures provided.
Find the values of x and y.
Solution to this Angles Parallel Lines Transversal Geometry practice problem is provided in the video below!
Two-Way Table Data Probability problems
Two Way Table Data Conditional Probability example problem
When insurance companies establish policies for overing screening tests for diseases, one important factor is the value of the test predicting the disease. For example, for a certain type of disease, insurance companies may only cover the test costs if the test improves the prediction of having the disease by 80%. To help decide coverage policy for a new test, use the following data to help decide whether the test should be covered.
a) Find P(A) = P(Having the disease among everyone)
b) Find P(B) = P(Testing positive for everyone)
c) Find P(A and B) = P(Having the disease and testing positive)
d) Find P(A | B) = P(Having the disease given tested positive)
e) Should the test be covered? What is your conclusion? Justify your answer using the conditional probabilities above.
Solution to this Calculus Two Way Table Data Conditional Probability practice problem is given in the video below!
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