Evan is playing a math game. He has to determine whether a shape is a kite or a trapezoid by reading its description. Which char
2 answers:
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Answer:
a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.
Step-by-step explanation:
The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
It is given by the following formula:
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of a success.
In this problem, a success is being concerned that employers are monitoring phone calls.
53% of adults are concerned that employers are monitoring phone calls, so
(a) Out of four adults, none is concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 0 successes, so x = 0.
There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
(b) Out of four adults, all are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 4.
There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 2.
There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.
Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for . Since the sum of the angles in a triangle adds up to
, we can write the equation:
Looking at the smaller triangle on the left, (exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)