Opening a daycare regular regulations mandate 35 ft.² of space per child how much floor space will you need for 15 children will
1 answer:
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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
Answer:
Step-by-step explanation:
The domain of a function is all of the values that can be under that specific function. In this case, we're asking what values of
allow
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to , because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for
:
Solving this inequality, we get:
(Subtract
from both sides of the inequality to isolate
)
(Multiply both sides of the inequality by
to get rid of
's coefficient)
Hope this helps!