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.
Answer: Part A is 2 and 6 Part B is 2
Step-by-step explanation:
Part A: Here is the explanation. So, you started at with the expression 3x^2+8x+4 and when you're are factoring, you have 3x^2+px+pq+4. You can substitute the p and q for 6 and 2. What they did is they replaced 8x with px+qx. To get 8x, p needs to be 6 and q needs to be 2, or the other way around. TIP: The numbers just have to add up to 8 on this one. It doesn't have to be 6 and 2.
Part B: Here is what I got so far... 3x(x+r) is 3x^2+3xr. Also, s(x+r) is sx+sr. The equation becomes, 3x^2+3xr+sx+sr. R can be 2 and s can be 2. Here is my reasoning: The original expression was 3x^2+8x+4. We already have the 3x^2, so now we need to find what the others are by determining what r and s equal. R and s can both be 2 to make four. 2x2 is 4. Let's see if it can make 8. 3xr becomes 6x and sx becomes 2x. 6x+2x is 8x.
Answer:
0.625
Step-by-step explanation:
5/8 is the same as dividing so divide them both and it will equal 0.625
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400