Answer:


An we can use the normal standard table and the following difference and we got this result:

Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

And we can use the z score formula given by:

And replacing we got:


An we can use the normal standard table and the following difference and we got this result:

Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs
Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
D = 14
1/6d + 2/3 = 1/4d - 1/2
2d + 4*2 = 3d - 6
2d - 3d = -6-8
-d = -14
d = 14