ANSWER

EXPLANATION
We use the formula

For

and n=8, r=4.

This simplifies to

We expand the numerator using factorial notation,

The common factors cancel out.


Answer:
14/81
Step-by-step explanation:
The probability of getting a green is number of green sections ÷ total number of sections = 2/4+3+2 = 2/9
Probability of not getting a green is = 1 - probability of getting a green = 1 - 2/9 = 7/9
Now we calculate the probability of not getting 2 consecutive greens. I.e probability of getting a green the first time and not getting it the second time= (2/9 × 7/9) = 14/81
Answer:
I think this ans may help you
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
Answer:
0.5
Step-by-step explanation:
just use any point you can find in the graph
and use the dollar to divided by the cups.
the point I chose is 1 dollar for 2 cups. So it's 0.5 dollar for 1cup