Angela chooses between having $1,000 now, and investing it in a savings account so that she can have $1,050 a year from now, wha
2 answers:
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Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average is:
The standard deviation is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
Answer:
The radius is of length 12.
Step-by-step explanation:
A line that is tangent to a circle forms a right angle with the radius and the point of tangency. If you look closely at the diagram, you can see that a right triangle has been formed, with leg lengths r and 16 and a hypotenuse of length r + 8. Therefore, we can use the Pythagorean Theorem to find the length of the radius. I have done out the work in the attached file.
Hope this helps!
