Answer:
a. 1965
b. 8 years
Step-by-step explanation:
For answers to questions like these it can work to consider the smallest possible dataset.
<h3>Dataset</h3>
For our purpose, consider the 9 years/values to be averaged to be ...
1, 2, 3, 4, 5, 6, 7, 8 ,9
<h3>Observations</h3>
a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.
The first centered value is from the year 1961 +4 = 1965.
b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.
8 years of values are lost.
She can form only one such triangle. The given angle 'fixes' the shape of the triangle. Once the angle is given, the third side is also fixed.
So we have the first 2 sides, say a and b, and the third side c, fixed by fixing the angle between a and b. By Side Side Side congruence postulate, any triangle with sides a, b, c will be the exact same triangle as the one we constructed.
3(j+4)-9=9
3j + 12 -9 =9
3j +3 =9
3j =6
j=2
The experiment probabilities are listed below:
One: 2 out of 20 = 2 / 20 = 0.1 or 10%
Four: 5 out of 20 = 5 / 20 = 1 / 4 = 0.25 = 25%
The theoretical probability of any single number is 1 out of 6 or about 17%.
The experimental probability for ones was less than and for fours it was greater than the theoretical probability.
The answer would be letter A
