The associative property states that you can add or multiply regardless
of how the numbers are grouped. By 'grouped' we mean 'how you use
parenthesis'. In other words, if you are adding or multiplying it does
not matter where you put the parenthesis. Add some parenthesis any where
you like!.
Answer: 0.0108
Step-by-step explanation:
Given : 
Since the alternative hypotheses is right-tailed, so the test is a right-tailed test.
Sample size : n=30
The degree of freedom for t-distribution= 
The by using the normal t-distribution table , we have
The P-value corresponds to t-statistic vale 2.43 and degree of freedom 29 , is 0.01075997 i.e. approximately 0.0108
your answer would be
6 ways for 1st place
5 ways for 2nd place
4 ways for 3rd place
3 ways for fourth place
and in total there are 360 ways in total.
(6*5*4*3=360)
The measure of the vertex angle of the isosceles Δ is 96°
Step-by-step explanation:
In the isosceles triangle
- Two sides are equal in lengths
- The angle between the two equal sides is called vertex angle
- The other two angles are called base angles
- The base angles are equal in measure
∵ The measure of one of the base angles of an isosceles Δ = 42°
- The base angles are equal in measure
∴ The measure of the other base angle = 42°
∵ The sum of the measures of the interior angles of any Δ = 180°
∴ 42 + 42 + measure of the vertex angle = 180
∴ 84 + measure of the vertex angle = 180
- Subtract 84 from both sides
∴ measure of the vertex angle = 96°
The measure of the vertex angle of the isosceles Δ is 96°
Learn more:
You can learn more about the triangles in brainly.com/question/6530759
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