Answer:
0.2752512
Step-by-step explanation:
The formula you are looking for is the binomial probability:
n!
P (X) = ------------ * (P)^X * (q)^n - X
(n- X)! X!
For your particular problem:
n=7
X=2
q = 1-p = .8
7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512
Hope this helps, have a nice day/night! :D
Divide (1/6 cup cheese) into (7/8 cup cheese):
7
--
8 7 6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1 8 1
--
6
She can prepare her recipe 5 times, with some material left over.
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
Answer: Yes, he would have enough money. In total he would spend $23.10
Step-by-step explanation
Add 5% to the $24
