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
Answer:
1-3
2-8.9
3-6.3
4-26
5-7.8
6-17
7-10
8-32
9-7.9
10-13.2
11- is a right triangle
12- is not a right triangle
13- is a right triangle
14- is not a right triangle
15- is a right triangle
16- is not a right triangle
Step-by-step explanation:
I will do the rest it will just take me some time. I will also give you
step by step at the end.
Answer:
5/6 times (4 - 3x)
Step-by-step explanation:
Step-by-step explanation:
Length of the base = y
Length of a side = 3y + 2
Length of the third side= 3y + 2 (Isosceles triangle)
Perimeter = Sum of all sides
46 = y + 3y + 2 + 3y + 2
46 = y + 2(3y +2)
46 = y + 6y + 4
46 = 7y + 4
46 - 4 = 7y
42 = 7y
42/7 = y
6 = y
Therefore, the length of the base is 6
Answer:
<h2>11x - y = -79</h2>
Step-by-step explanation:
The standard form of an equation of a line:
The point-slope form of an equation of a line:
m - slope
(x₁, y₁) - point
We have the points (-7, 2) and (-8, -9). Substitute:
Convert to the standard form:
<em>use the distributive property </em>a(b + c) = ab + ac
<em>add 2 to both sides</em>
<em>subtract 11x from both sides</em>
<em>change the signs</em>
