Answer:
The events must be independent.
Step-by-step explanation:
The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.
If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be
where
are combinations of 100 elements taken k at a time.
Answer: 3.25 miles
Step-by-step explanation:
6 + 7 = 13
13 x .25 = 3.25
A. (4)5 x (4)4 = 36 OR 4(5 x 4) = 36
b. No you would not. 5(5 x 4) = 45 which is out of your budget.
Answer:
Step-by-step explanation:
What is a regular tessellation?
A regular tessellation is a pattern made by repeating a regular polygon. In simpler words regular tessellations are made up entirely of congruent regular polygons all meeting vertex to vertex.
How many regular tessellation are possible?
There are only 3 regular tessellation.
1. Triangle
2. Square
3. Hexagon
Why aren't there infinitely many regular tessellations?
Not more than 3 regular tessellations are possible because the sums of the interior angles are either greater than or less than 360 degrees....
Answer:
Supongo que tenemos dos ángulos A y B
"la mitad de A mas la tercera parte de B es igual a 15°" (también supongo que son grados)
A/2 + B/3 = 15°
A/2 = 15° - (B/3)
A = 30° - 2*(B/3)
Ahora queremos calcular:
2*sin(3*A)/cos(2*B)
pero podemos reemplazar A por lo que tenemos arriba:
2*sin(3*(30° - 2*(B/3)))/cos(2*B)
2*sin(90° - 2*B)/cos(2*B)
y como sabemos,
Sin( 90° - x) = Sin(90°)*cos(-x) + cos(90°)*sin(-x) = cos(-x) = cos(x)
entonces:
2*sin(90° - 2*B)/cos(2*B) = 2*cos(2*B)/cos(2*B) = 2*1 = 2.
