D 2520 -------------------------------------------
When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:
a² + b² = c²
15² + 15² = c²
225 + 225 = c²
450 = c²
15√2 = c
21.21320344 = c
So, this rounded to the nearest tenth would be:
21.2 meters !
Answer:
0.497
Step-by-step explanation:
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
n = 6 ; x = 3 ; p = 0.42
P(x = 3) +... P(x = 6)
P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)
P(x = 3) = 20 * 0.074088 * 0.195112
P(x = 3) = 0.28910915712
Then find p(x = 4).. + p(x = 6)
Using a calculator :
P(X >= x) = 0.497