5x² - 27 ÷ y - (6+15) X=5 and y=9
1 answer:
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Answer:
0.2305 = 23.05% probability that exactly 2 workers say yes.
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, which means that the binomial probability distribution is used 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.
5% of workers in the US use public transportation to get to work.
This means that
You randomly select 25 workers
This means that
Find the probability that exactly 2 workers say yes.
This is P(X = 2). So
0.2305 = 23.05% probability that exactly 2 workers say yes.
Option A
Length of CD is 10 inches
<u><em>Solution:</em></u>
The diagram is attached below
Given that, Circle A and circle B are congruent
CD is a cord of both circles
AB = 24 inches
Radius = 13 inches
To find: length of CD
Draw a straight line connecting A and C
AC represents the radius of circle. Also given that radius is 13 inches, So AC = 13 inches
Given in question that AB = 24 inches
Therefore from figure, AO = AB/2 = 24/2 = 12
AO = 12
Let "b" be the length of CO
Therefore, CD = CO + OD = b + b
AOC forms a triangle, so we can use pythogoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition for triangle AOC
Substituting AC = 13 and AO = 12 and OC = b
<em><u>Thus length of CD is:</u></em>
CD = b + b = 5 + 5 = 10
Thus length of CD is 10 inches
