Answer:
Expected Value of M is 50 and the Standard Error of M is 3
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation, also called standard error 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
µ = 50 and σ = 18
For the sample
Mean 50 and standard error 
.
The answer is:
Expected Value of M is 50 and the Standard Error of M is 3
The given equations in this item are,
x² - y² =25
and
x + y = 25
It can be deduced that the first equation is a difference of two squares and can be factored out as that one shown below.
(x - y)(x + y) = 25
From the second equation, x+y = 25. Substituting this to the equation above,
(x-y)(25) = 25
Hence, x - y = 1
The system of linear equations is,
x + y = 25
x - y = 1
Adding the equations together,
2x = 26
x = 13
The value of y is 12.
Since both x and y are positive values then, this solution lies in the first quadrant.
ANSWER: (13,12)
1st Avenue would be more difficult because it’s rise and run is for every one foot forward it is 3 feet up. Meanwhile avenue 16th would start at (3,1) and the rise and run would be for every 3 feet it would go up 1 foot.
Yes because $56 + 6.25% = 56.0625
And 15% of 56.0625 is 8.409375
So, 56.0625 + 8.409375 = $64.471875 making the total right under $65.
-3-(-3)(-1)= 0, so 0 is the solution
