<span>here is the sample space for throwing two die </span><span>{ 1, 2 , 3, 4, 5, 6,
2 , 4 , 6, 8, 10, 12,
3, 6, 9 , 12, 15, 18,
4, 8 , 12, 16, 20, 24,
5, 10 , 15, 20, 25, 30,
6, 12, 18, 24, 30 ,36 } </span><span>(Two) fair dice are rolled, and the product of the two numbers is recorded. Which of the following best describes the theoretical probability distribution? uniform symmetric negatively skewed positively skewed
Uniform Symmetry -> Sequence of answers that increase or decrease by the same amount
Negative Skew = Large # -> Small #
Positive Skew = Small # -> Large #</span>
If a bar graph is drawn to represent this, we see that this is close to uniform. It is not exactly uniform, but it is definitely not symmetric; not positively skewed; and not negatively skewed.
The measures of the angles of a triangle add to 180.
45 + 45 + 90 = 180 The measures of these three angles do add to 180, ,so there is at least one triangle with these angle measures. Using AA triangle similarity, any triangle with the same angle measures will be similar.
From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.
