Answer:
384√3 in²
Step-by-step explanation:
Given in the question a regular 6 sided polygon
To find it's area you have to use the following formula
<h3> 1/2 x perimeter x apothem</h3>
<em>Perimeter = the sum of the lengths of all the sides </em>
<em>Suppose length of one side = x</em>
<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>
<em />
Since the polygon have 6 sides so
perimeter = 6x
<h3>x = 2(8√3)/√3</h3>
x = 2(8)
x = 16
perimeter = 6(16) = 96 in
plug values in the formula of area
<h3>1/2 x 96 x 8√3</h3>
384√3 in²
<span><span>The average rate of change formula is basically the slope formula, where you plug in: f(b)-f(a)/b-a. Then plug in the numbers. [f(0)=1,f(3)=7)]. So, 7-1/3-0. 6/3 is 2 so the average rate of change is 2. And that makes sense because the average rate of change is always the slope, and the slope is 2.</span></span>
Answer:
differense: 2983-293728
y 29372+3927288 +-+-+-+ 823828373973
Answer:
Discrete Distribution.
Step-by-step explanation:
For each widget, there are only two possible outcomes. Either they develop paint cracks, or they do not. The probability of a widget developing paint cracks is independent of any other widgets, which means that the binomial probability distribution, which is a discrete distribution, is used to solve this question. Thus the answer is a Discrete Distribution.
Answer:
3100 units of Product Z
Step-by-step explanation:
The ratio is 4 is to 2, that means:
4 + 2 = 6 parts total
Now,
We have to cover the fixed cost of 418,500 from profits, that is SP - VC
Where SP is Selling Price and VC is Variable Cost
Product A:
SP = 75
VC = 35
Profit = 40
Product B:
SP = 95
VC = 40
Profit = 55
So, we can sell "4x" of product A and "2x" of product B, and create the equation:
Now, we solve for x:
The amount of Product Z was taken as "2x", so the quantity of Product Z would be:
2(1550) = <u>3100 units of Product Z</u>
