Answer:
Where and
We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error would be:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let X the random variable that represent the compressive strength of concrete of a population, and for this case we know the distribution for X is given by:
Where and
We select a sample size of n =8. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
And the standard error would be:
Answer:
60ft
Step-by-step explanation:
Let's x, y be the width and length of the surrounding rectangle. Since the area is 450 sq feet, this means xy = 450 or y = 450/x
The perimeter of this rectangle is (since there are 3 sides only)
f(x,y) = 2x + y
This is something we need to minimize. We can start by substituting y = 450/x
f(x) = 2x + 450/x
Let's take the first derivative of this function and set it to 0
y = 450 / 15 = 30ft
so the minimum perimeter that needs taping over is
f(x,y) = 2x + y = 2*15 + 30 = 60ft
Answer:$ 18.00
Step-by-step explanation:
$5.25 x8 = $42.00
$60.00 - 42.00 = $18.00
Find f(x+h) and f(x), and plug these values into the difference quotient formula.
6x + 3h
Use the rule is/of, %/100