The angles would be 38.85, 51.19, and 90. I attached a picture showing the steps.
Let x and y be the speeds of the two points. The circle is of length 120m that is Circumference of circle is 120m.When the points are moving in opposite directions, they meet in every 15 seconds.That is the points cover 120m in 15 seconds.As they are moving in opposite directions, so the relative speed will be equal to the sum of speeds of both points.Speed= Distance ÷Time = 120÷15=8m per seconds.
x+y=8
When going in the same direction, one point catches up to the second every 60 seconds.Speed= 120÷60=2 m per seconds
x-y=2.
Solving the two equations by elimination method:
x+y=8.
x-y=2
Adding the equations:
2x=10 ,x=5m / sec.
x+y=8
5+y=8
y=3m/sec.
Thus, the speed of the two points is 5 m/s and 3 m/s.
Answer:
110
Step-by-step explanation:
22/4=5.5
5.5*20=110
Answer:
it's C
Step-by-step explanation:
you just need to make everything the opposite of the original equation.
Answer:
95%
Step-by-step explanation:
For a given sample data, the width of the confidence interval would vary directly with the confidence level i.e. more the confidence level, wider will be the confidence interval.
This is because the critical value associated with the confidence level(e.g z value) becomes larger as the confidence level is increased which results in an increased interval.
The confidence interval for a population proportion is given by the formula:

So, for a fixed value of p,q and n, the larger the value of z the wider will be the confidence interval.
Hence 95% confidence interval will be wider than 80% confidence interval.