The z-score for 55.2 is 0.25.
Explanation: Using the Standard Normal Table, the area to the left of 0.25 is 0.5987, and the area to the left of 0.5 is 0.6915. As 0.6915−0.5987=0.0928, the probability that the sample mean is in between 55.2 inches and 55.4 inches is approximately 9%.
A, the number of hours it takes the baker to frost all the cupcakes
Total cost, C = 8x^2 + 12xz
volume, V = (x^2)*z = 10
C = 8x^2 + 12x*10/x^2
= 8x^2 + 120/x
dC/dx = 16x - 120/x^2 = 0
16x = 120/x^2
x^3 = 120/16
x = 1.957 ft
d^2C/dx^2 = 16 +240/x^3 = +ve for x = 1.957
so, C is minimum when
x = 1.957 ft z = 2.61 ft
Length of the base x is 1.957 ft and height of side z is 2.61 ft
Answer:
<h2>

</h2>
Step-by-step explanation:
According to the question,
∝
.......(1)
∝
.......(2)
From equation 1,2 let constant of proportionality be
respectively.
⇒
.......(3)
⇒
.......(4)
From the above equations putting 4 into 3,

Let the new constant to the above equation be
,

Given,if x=1, when z=4

⇒
Now if x=27, then z=?

⇒
⇒

Answer:
The formula for 'h' is
.
The height of the cylinder is 3 in.
Step-by-step explanation:
Given,
Surface Area of Cylinder = 251.2 sq. in.
Radius = 5 in
We have to find out the height of the cylinder.
Solution,
We know that the Surface area of cylinder is given as;

Here 'r' is the radius and 'h' is the height.
We have to solve this for 'h'.

Hence The formula for 'h' is
.
Now we solve for 'h'.
Since 
On putting the given values, we get;

Hence The height of the cylinder is 3 in.