Lines From the following figure, state the names of: two line segments two lines
ID: 3363263 • Letter: L
Question
Lines
From the following figure, state the names of:
two line segments
two lines
two rays
two pairs of lines that intersect
Be sure to use proper name notation.
Using the above figure:
State the names of two rays that are on the same line.
Explain how the two rays are different. Use the names of specific points in your explanation.
Angles – Part 1
Give a pair of supplementary angles, a pair of complementary angles, and label each angle measure as acute, obtuse, or right.
Draw a pair of lines, crossed by a transversal. Label all angles (i.e., a, b, c, or 1, 2, 3…). Then give a pair of each type of angle below.
Vertical angles.
Corresponding angles
Supplementary angles.
Alternate interior angles.
Alternate exterior angles.
Angles – Part 2
Explain how angles are affected when a transversal crosses a pair of parallel lines. Use specific types of angles to support your explanation.
When two lines intersect, what relationship does adjacent angles have?
Areas of Polygons and Circles
A triangle has a base of 8 cm and is 9 cm high. Find its area.
Calculate the area of a figure that has a radius of 4 inches.
The distance around a circle is called its circumference. If the formula for circumference is C = 2r, where r is the radius of a circle, find the circumference of a circle with a 5 mm radius. Use 3.14 as the value for .
Similar and Congruent Figures
Explain the difference between congruence and similarity. Give an example of each.
Prove whether the following figures are similar.
Counting Principles/Probability
There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?
Jack created a contest where 3 winners were selected out of 20 contestants to compete on a game show. How many ways can the three winners be selected?
In order to win the Florida lottery a person must select 6 numbers from 53 possible numbers. If Paul purchases 5 tickets what is the probability that he will win?
Odds
If the probability that the Cavaliers will win the NBA championship this year is 7/11, then what are the odds that the Cavaliers will lose the NBA championship?
If the probability of Stephan Curry missing a free throw is 6%, what are the odds of him hitting the next free throw?
If the odds of Bruno Mars next album reaching the top spot on the billboard 100 is 2:7, what is the probability of Bruno Mars’ next album not reaching the top spot on the billboard 100?
Measurements of Central Tendency and Dispersion
Unit sales for top 10 albums for 2015 where 1 unit equals one million unit sales were: 8, 3.1, 2.2, 2.2, 2, 1.9, 1.8, 1.7, 1.4, 1.3. Find the mean, median, mode, five number summary, range, and standard deviation.
Dollar sales for the top 10 movies for 2016 where 1 unit equals one million dollars in sales were: 675, 746, 746, 783, 873, 875, 967, 1023, 1027, 1153. Find the mean, median, mode, five number summary, range, and standard deviation.
Free throw percentages for the top 10 players for 2017 in the NBA were: 91.2, 90.9, 90.5, 90.2, 89.8, 89.8, 89.5, 89.3, 89.3, 89.2. Find the mean, median, mode, five number summary, range, and standard deviation.
Data Analysis
The grade distribution for an online CMA class in January of 2017 was: 98, 82, 38, 67, 75, 66, 75, 83, 36, 83, 15, 79, 40, 95, 88, 61, 98, 34, 97, 60, 86, 84, 100, 36.
Use the grade distribution above to create a pie graph and write a conclusion on your findings.
Use the grade distribution above to create a bar graph and write a conclusion on your findings.
Use the grade distribution above to create a histogram and write a conclusion on your findings.
Use the grade distribution above to create a box and whisker plot and write a conclusion on your findings.
Use the grade distribution above to create a bell shape graph, label your mean, identify 3 standard deviations from the mean on the graph and write a conclusion on your findings.
Explanation / Answer
Counting Principles/Probability
There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?
Here order of winners is important. The first winner can be selected in 20 ways, second in 19 ways and third in 18 ways. So possible number of ways of selecting winners is
20*19*18 = 6840
Jack created a contest where 3 winners were selected out of 20 contestants to compete on a game show. How many ways can the three winners be selected?
Here order of winners is not important so possible numebr of selections are
C(20,3) = 1140
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