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
I do this differently from many people, but the answer is 25 miles. If they walk 5 miles every day, and it’s a 40 day process, you multiply 8 by 5, which equals 40. After that you multiply 5 by 5 and you get 25. Sorry if that’s hard to understand, but the answer is 25.
Answer:
45, 48, and 51.
Step-by-step explanation:
The numbers are 3x, 3x+3, and 3x+6. Write the equation: 9x+9=6x+54. Solve: x=15. So the numbers are 45, 48, and 51.
Check: 45+48+51 is 144. 45*2+54=144. 144=144 Correct!
Answer:
This would equal 3N+4
Step-by-step explanation:
The way this is simplified is by distributive property.
Step 1. Multiply 1/2 by all the numbers inside the parentheses.
Step 2. Do the math. So 1/2 of 6 would be 3. Now one have of 8 is 4.
Thats the great thing about multiplying by 1/2, everything multiplied by 1/2 is half the number. Then you plug in the numbers and you get 3N+4
The length of line BE on the given line segment is 3.5 m.
The given parameters:
- <em>Length BD = 3 m</em>
- <em>Length CD = 15 m</em>
- <em>Length AB = 21 m</em>
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The sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;

Thus, the length of line BE on the given line segment is 3.5 m.
Learn more about similar triangle here: brainly.com/question/11899908