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:
Jaime's. Interval not centered around the point estimate.
Step-by-step explanation:
When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.
For Jaime's interval
Lower bound = 0.078
Upper Bound = 0.193

For Mariya's interval
Lower bound = 0.051
Upper Bound = 0.189

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.
Answer:
x = - 2
y = 2
Step-by-step explanation:
y = - 2 + 4
y = 2
- 2 + 2(2) = 2
- 2 + 4 = 2
First Find slope by using


Now use point Slope form to find the equation of the line (y-y₁)=m(x-x₁)
(y-6)=

(x-2)
y-6=

y=

is your equation