Answer:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard table or excel:
The firgure attached illustrate the problem
To begin lets say year one the population is 2,000
assume this in percent we can say that 2,000=100%
at the end of this year the population will have grown by 4% meaning that
100%+4% will be the new population =104%
but we know that 100%=2,000 so what about 104%=X?
so (104*2000)/100=2,080
So year 1 the population will have grown by 80 people amounting to 2080 people.
Now do it manually year by year until we reach the 15th year. i will help you up to year 3
2nd year= (2080*104)/100=2163.2
3rd year= (2163*104)/100=2249.728
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Answer:
Roosevelt appeals to the logic of the audience by noting that the interests of the people are not considered in a one-party government.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.
Favorable outcomes = 2
Then the probability that me and my friend are both chosen =
Thus , the probability that me and my friend are both chosen =
<h3>
Answer: 38.1</h3>
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Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
