The half angle formula is:
sin x/2 = +/- √ (( 1-cos x ) / 2 )
5π/12 = 5π/6 : 2
sin 5π/12 = +/- √(( 1 - cos ( 5π/6)) / 2 )
cos 5π/6 = cos 150° = -√3/2
≈ 0.966 ( this is sin 5π/12 )
In my estimations you have a triangle with 2 angles and an altitude or height. You have to find the base of the triangle in order to find the area. I set up the triangle and sine the 60 degree angle was bisected I know that the vertex angle is 30 in my right triangle. I used the tangent ratio of 30 to find the base of that triangle and then multiplied it by 2 to get that the whole base measure is 27.71281292. Then I multiplied it by the height I was given of 24 and divided the whole mess in half to get the area. 332.553 units squared.
So basically its all the numbers that are can be an answer for example if ur looking at a dice you set of all possible outcomes will be {1,2,3,4,5,6} because a dice has 6 possible out comes
Answer:
Step-by-step explanation:
Given that :
Mean = 7.8
Standard deviation = 0.5
sample size = 30
Sample mean = 7.3 5.4772
The null and the alternative hypothesis is as follows;
The test statistics can be computed as :
The p-value at 0.05 significance level is:
p-value = 1- P( Z < -5.4772)
p value = 0.00001
Decision Rule:
The decision rule is to reject the null hypothesis if p value is less than 0.05
Conclusion:
At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.
