5p² - p - 18 = (5p +9)(p - 2)
Answer:
0.903264
Step-by-step explanation:
Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.
Let A' = the event that A fails, B' = B fails and C'= C fails.
Probability that no circuit board fails = Prob (A'B'C')
= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent
= (1-0.03)(1-0.04)(1-0.03)
= 0.903264
Answer:
Line 6
Step-by-step explanation:
The graph intersects at (-5, 16) and (2, 2)
Because she needs to plug the x's back into the equation
so 
or 
and 
or 
Answer:
12/19 or 0.6315
Step-by-step explanation:
You see that the denominator of 3/4 is 4 and the numerator of 16/19 is 16 both 4 and 16 are common factors, so you can reduce this to 3x4/19 then multiply 3/1 x 4/19 to give you 12/ 19 because 3x4 is 12 and 1x19 is 19.
Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, 
if 
, and 
if 
.
For example,
- |2| = 2 because the input 2 is positive, so the input is unchanged;
- |-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.
What this means for this problem is that there are two cases to consider:
- If
, then 
, so that
- On the other hand, if
, then 
, so
