Answer:
The shape of a binomial distribution is symmetric when p = 0.5
Step-by-step explanation:
The attached graphic shows the symmetric binomial form.
Supplementary angles is when 2 angles add up to 180 degrees.
We will name the smaller angle a and the bigger angle b.
therefore:
b - 172.6 = a
a + b = 180
Now we substitute:
a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3
To find a:
a + b = 180
a + 176.3 = 180
a = 3.7
Therefore,
angle a = 3.7 degrees
angle b = 176.3 degrees.
Hope it helps and have a great day ahead
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
we know that
When divide exponents (or powers) with the same base, subtract the exponents
Part 1) we have

Part 2) we have

You cant because there are 2 different variables
hope this helps, have a great day
Ok so I like to go in steps with these questions- first draw a picture and identify your variables.
W=width
L= 3w-1
Now we know that length times width gets us area so we plug in our variables into the area equation.
200 = w(3w-1)
When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0
Either factor that or use the quadratic formula to get
w= 8.33 and w= -8
Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.
Final answer:
w= 8.33ft
l= 23.99ft
*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*