If a fair die is rolled 6 times, what is the probability, rounded to the nearest thousandth, of getting at least 5 sixes?

Step-by-step explanation:

The probability of getting something other than a 6 is

5/6

The probability of getting 5 sixes is

1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 5/6

5 / 6^6 =0.000107167

And if you should draw all sixes The Probability is

(1/6)^6 = .000021433

The probability of getting at least 5 sixes is the sum of these two numbers.

0.0001286

Rounded to the nearest 1/1000 is 0. In other words, not very likely which you probably knew without the math.

i have no clue what you just said. write a question in english?

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west