Reporting Category: Geometry Standard: 10 G.3 Recognize and solve problems involving angles formed by transversals of coplanar l
ines. Identify and determine the measure of centrai and inscribed angles and their associated minor and major aros. Recognize and solve problems associated with radii, chords, and arcs within or on the same circle. Standard: Ccss Math. Content 8.G.A.s- use informaf arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles, For example, arrange three copies of the same triangle so that the sum of the three angles appears to farm a line, and give an argument in terms of transversals why this is so. Parallel lines q and m are cut by transversal lines jand k. The lines, and the measures of some of the angles created by the intersections of the lines, are shown in the diagram below. 110 1159 2 ON a. What is the measure, in degrees, of 21? Show or explain how you got your answer. b. What is the measure, in degrees, of L3? Show or explain how you got your answer. what is the measure, in degrees, of 25? Show or explain how you got your answer. d. What is the measure, in degrees, of 6? show or explain how you got your answer
1 answer:
You might be interested in
Answer:
a) 0.0025 = 0.25% probability that none of the appeals will be successful.
b) 0.0207 = 2.07% probability that exactly one of the appeals will be successful.
c) 0.9768 = 97.68% probability that at least two of the appeals will be successful
Step-by-step explanation:
For each appeal, there are only two possible outcomes. Either it is succesful, or it is not. The probability of an appeal being succesful is independent of other appeals, so we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
45% of first-round appeals were successful.
This means that
Suppose 10 first-round appeals have just been received by a Medicare appeals office.
This means that
(a) Compute the probability that none of the appeals will be successful.
This is P(X = 0).
0.0025 = 0.25% probability that none of the appeals will be successful.
(b) Compute the probability that exactly one of the appeals will be successful.
This is P(X = 1).
0.0207 = 2.07% probability that exactly one of the appeals will be successful.
(c) What is the probability that at least two of the appeals will be successful
This is
Either less than two appeals are succesful, or at least two are. The sum of the probabilities of these events is decimal 1. So
0.9768 = 97.68% probability that at least two of the appeals will be successful