There are no numbers with the letter “a” in them up until 1,000 [one thousand].
I think it is a compound event because rolling each die is an independent event.
1. determine the defined range
2. write all numerators above the common denominator
3. remove parenthesis
4. collect like terms
5. multiply both sides by (2x+1) x (2x-1)
6. simplify the product
7. multiply parenthesis by -4
8. cancel equal terms
9. move constant to the right
10. add the numbers
11. divide both sides by 6
ANSWER: x = 11/6
Do you want a general solution or from 0 <= x < 2pi?
tan^2(2x) - 1 = 0
tan^2(2x) = 1
Take the square root of both sides,
tan(2x) = +/- 1
Two equations:
tan(2x) = 1
tan(2x) = -1
Solve each equation.
tan(2x) = 1, 2x = {pi/4, 5pi/4, 9pi/4, 13pi/4},
x = { pi/8, 5pi/8, 9pi/8, 13pi/8 }
tan(2x) = -1, 2x = { 3pi/4, 7pi/4, 11pi/4, 15pi/4 },
x = { 3pi/8, 7pi/8, 11pi/8, 15pi/8}
So for solutions within [0, 2pi),
x = {pi/8, 3pi/8, 5pi/8, 7pi/8, 9pi/8, 11pi/8, 13pi/8, 15pi/8 }
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
<h3>What is Mean?</h3>
Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
<h3>What is the mean absolute deviation?</h3>
Mean refers to the average of the observation and deviation means the variation from the present standard.
Given
Robin’s scores: 99, 108, 102, 107, 119
Mean = 107
MAD = 5.2
Evelyn’s scores: 125, 137, 138, 145, 145
Mean = 138
MAD = 5.6
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
More about the mean and the mean absolute deviation link is given below.
brainly.com/question/10258446