Write a function that represents the situation. Let t represent the time in years. You deposit $800 in an account that earns 7%
1 answer:
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Answer:
a)
With:
b)
c)
d)
Step-by-step explanation:
For this case we know the following propoertis for the random variable X
We select a sample size of n = 81
Part a
Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:
With:
Part b
We want this probability:
We can use the z score formula given by:
And if we find the z score for 89 we got:
Part c
We can use the z score formula given by:
And if we find the z score for 75.65 we got:
Part d
We want this probability:
We find the z scores:
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
It is the <u>set that contains all possible input values</u>.
In a fraction, the denominator cannot be zero, hence:
- The domain of the first two expressions is of
.
- The domain of the last expression is of
.
The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by .
More can be learned about the domain of a function at brainly.com/question/25897115