Answer: 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
1 ft = 12 inches.....so 8 ft = 12* 8 = 96 inches
96 inches - 94.6 inches = 1.4 inches is cut off of each board
Answer:
3. angles forming a linear pair to sum to 180
4. Def of supplementary angles
Answer: See explanation
Step-by-step explanation:
Perimeter of a rectangle is given as:
= 2(length + breadth)
First rectangle measures 1.2 cm by 3.4 cm. The perimeter will be:
= 2(1.2+ 3.4)
= 2(4.6)
= 2 × 4.6
= 9.2cm
Second rectangle measured 2.1 cm by 1.7 cm. The perimeter will be:
= 2(2.1 + 1.7)
= 2 × 3.8
= 7.6cm
Total perimeter = 9.2cm + 7.6cm = 16.8cm