Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
Area of circle= π·r² so, π·20²= π·400≡ 1256.637061
Answer:

Step-by-step explanation:
So we know that the slope is 2 and the lines passes through the point (-5,1).
We can use the point-slope form. The point-slope form is:

Where m is the slope and (x₁, y₁) is a point.
So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

Simplify:

Distribute the 2:

Add 1 to both sides:

So, the equation of our line is:

Answer:
Formulas for a rectangular prism:
Volume of Rectangular Prism: V = lwh.
Surface Area of Rectangular Prism: S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)
Step-by-step explanation:
Hope it helps :))))