Between which pair of consecutive integers does √111 lie
2 answers:
Answer:
The given lie between 10 and 11
B is correct
Step-by-step explanation:
We need to find pair of number in which lie between them.
Let given number lie between two integer x and y
Thus,
Taking square both sides
As we assumed x and y are integers.
We will choose two number across 111 those are perfect square.
Taking square root all sides
Hence, The given lie between 10 and 11.
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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
