40,829,000 = 40,000,000 + 800,000 + 20,000 + <span> 9,000
hope it helps</span>
Answer:
0.014 or 1.4% of connectors fail during the warranty period.
Step-by-step explanation:
Consider the provided information.
Let: D = electrical connector is dry
D' = electrical connector is not kept dry (i.e., is wet)
F = connector fails during warranty period
F' = connector does not fail during warranty period
90% of the connectors are kept dry
That means P(D)=0.9
10% are wet,
P(D')=0.1
The probability is 1% that an electrical connector that is kept dry fails during the warranty period, i.e.
P(F|D)=0.01
If the connector is ever wet, the probability of a failure during the warranty period is 5%, i.e.
P(F|D')=0.05
![P(F)=P(D)\times P(F|D)+P(D')\times P(F|D')\\P(F)=0.9\times 0.01+0.1\times 0.05\\P(F)=0.014](https://tex.z-dn.net/?f=P%28F%29%3DP%28D%29%5Ctimes%20P%28F%7CD%29%2BP%28D%27%29%5Ctimes%20P%28F%7CD%27%29%5C%5CP%28F%29%3D0.9%5Ctimes%200.01%2B0.1%5Ctimes%200.05%5C%5CP%28F%29%3D0.014)
Hence, 0.014 or 1.4% of connectors fail during the warranty period.
Answer:
If an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.
A = L * W
Given:
L = x + 10 and W = x + 15
So
A = (x + 10)(x + 15)
A = x^2 + 10x + 15x + 150
A = x^2 + 25x + 150
Answer
x^2 + 25x + 150