Forty percent of the homes constructed in the quail creek area include a security system. three homes are selected at random: what is the probability all three of the selected homes have a security system

0.064

Step-by-step explanation:

Binomial probability formula :-

, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The proportion of the homes constructed in the Quail Creek area include a security system :  

Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

Hence, the probability all three of the selected homes have a security system = 0.064

The answer is -76.1 meters.

The submarine elevation before rising is -203 meters (it is negative because it is under the sea level which has 0 elevation): d₁ = -203 m

After the first rising, it moved 64.5 m: l₁ = 4.3 · 15 = 64.5 m

After the second rising, it moved 62.4 m: l₂ = 5.2 · 12 = 62.4 m

So, to calculate the elevation of the submarine after rising (d₂), we will add (because it is not going deeper, it rises toward the elevation of 0) two movements to the elevation before rising:

d₂ = d₁ - (l₁ + l₂) = -203 + (64.5 + 62.4) = -203 + 126.9 = -203 + 126.9 = -76.1.