Answer:
0.1536
Step-by-step explanation:
The computation of probability that the building failure will occur over its life is shown below:-
P(building failure) is

now we will solve the above equation
= 0.18 - 0.0264
After solving the above equation we will get
= 0.1536
Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.
The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
Answer:
Step-by-step explanation:
(-4 - 4)/(6 + 2)= -8/8= -1
y - 4 = -1(x + 2)
y - 4 = -x - 2
y = -x + 2
The first thing I'll do is solve "5y = 2x + 20" for "<span>y=</span>", so that I can find my reference slope:
y = (2/5)x + 4;
So the reference slope from the reference line is <span>m = 2/5;</span>.
Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line.
Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope <span>m = 2/5</span>. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);
Finally, y = (2/5)x + 17/5;