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
Answer:
What is the sum of the exterior angles in a regular 15-gon?
The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.
Step-by-step explanation:
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Answer:
10859.94
Step-by-step explanation:
To solve this, you need to know the formula for solving the area of a circle: πr²
The first thing you should do is find the area of the square: 78 x 78 = 6084
Then, we find the area of the circle. To do this, we must figure out the radius. Luckily, the problem states that the combined diameter of both half circles is 78, which means the radius is 39. Then, we can apply the formula: π39².
39² = 1521
1521 x 3.14 = 4775.94
This is the combined area of both half circles.
Finally, we have to add: 4775.94 + 6084 = 10859.94
Answer:
2 meters
Step-by-step explanation: