f(x)= -x^2+4 plotted vertex (0,4)
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:



Answer: 
Step-by-step explanation:
Using the values
and
, the slope is
.
So, the equation is:

Answer:
I think it is 1.5 or 1/2
Step-by-step explanation:
We have been given that Marcus works for 26 hours each week and 48 weeks each year.
Thus in a year he works for
hours.
Now, we have been given that Marcus earns $8.40 per hour.
Therefore, in 1248 hours, he earns

Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2 which is higher than $10,000.
Therefore, Marcus has to to pat tax.