I'm currently reviewing for the Math B regents and I have some trouble with 5 questions I looke up the answers online but i still need help showing the work to arrive to the answers. Here is the link to the the answers:http://www.nysedregents.org/testing/mathre/b-key605.pdf
And here is the link to the questions:http://www.nysedregents.org/testing/mathre/b605.pdf
These are the question i need help showing work for. 23,29,31,33, and 34.
In 34 i got the second part i just need help figuring out the diameter of the circle.
29)
We proceed by Bernoulli Trials:
Recall, the probability of successes from trials, where the probability of success is and the probability of failure is is given by the following:
We want the probability of at least 5 successes from 7 trials
The at least means 5 successes or more, that means we want
we are told that , that means
So
.................................
.................................
I hope you know how to calculate
Hello, badandy!
Jhevon did a fantastic job!
I had a slightly different approach to #33.
Since .(corresponding angles)
So we have: .
Since is positive: .
34) We are given: .
Let
. . Then: .
Hence: .
Theorem: The angle between two tangents to a circle is measured
. . . . . . . .by one-half the difference of the intercepted arcs.
Therefore: .
Draw radii
Since , we have: .
. . Hence: .
. . Then:. .
Therefore, the diameter is: .