NCr*P^r*q^(n-r)
7C4*. 75^4*. 25^(7-4)
35*. 75⁴*. 25³
35*. 316*. 016
11.06*. 016
. 1769
=. 177
W = 40
the rest is shown in the image below
For the answer to the question above.
If the maximum possible slope is 5 then the f(x + 3) = 5 x 3 + f(x)
So the maximum number for this is 15 and the minimum is 6 for this equation.
I hope my answer helped you in any way.
Answer:
5 corners : 108 degrees
6 corners : 120 degrees
Step-by-step explanation:
there are (at least) 2 different views to get the result :
officially (usually the teachers' preferred method) you consider a polygon as a combination of non-overlapping triangles. a polygon with n corners or edges we can split into n-2 such triangles.
each triangle has an angle sum of 180 degree.
so, the polygon angle sum is (n-2)×180 degrees.
and each (internal) angle is then (n-2)×180/n
n = 5 : (5-2)×180/5 = 3×36 = 108 degrees
n = 6 : (6-2)×180/6 = 4×30 = 120 degrees
the second approach (I prefer) goes after the external angles of the polygon.
the sum of all external angles in any polygon is 360 degrees (a full circle).
for n corners/edges each external angle is 360/n.
and the internal angle is then the complement to 180 degrees = 180 - 360/n
n = 5 : 180 - 360/5 = 180 - 72 = 108 degrees
n = 6 : 180 - 360/6 = 180 - 60 = 120 degrees
The probability that Olive flips heads and rolls an even number is 3/12 or 1/4.
These events are known as independent events which means the result of one event will not affect the other. The find the probability of the two events, you must multiply the probability of flipping heads and rolling an even number on a number cube.
1/2 x 3/6 = 3/12 OR 1/4 :)