Answer:
The probability is 0.971032
Step-by-step explanation:
The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.
The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:
In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:
(eq. 1)
So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:
P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)
We can also calculated that as:
P(x ≥ 5) = 1 - P(x ≤ 4)
Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)
Then, if we calculate every probability using eq. 1, we get:
P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765
P(x ≤ 4) = 0.028968
Finally, P(x ≥ 5) is:
P(x ≥ 5) = 1 - 0.028968
P(x ≥ 5) = 0.971032
Answer:
21
Step-by-step explanation:
y = 3x + 9
y = -3x + 12
y=21
By solving the inequality we get 
What is graphing the inequality?
The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.
Dividing above equation by 3 we get,
Graph of is
Therefore by solving the inequality we get
To learn more about graphing the inequality from the given link
brainly.com/question/24372553
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Answer:
n=0
Step-by-step explanation:
3n+4+14n=4-32n
3n+14n=-32n
17n=-32
17n+32n=0
49n=0
Answer:
The interval is [4,7]
Step-by-step explanation:
The rate of change is given by
f(x2) - f(x1)
-------------------
x2 -x1
We want the rate of change to be 56
f(x2) - f(x1)
------------------- = 56
x2 -x1
We also know that the x2 is 7 so f(x2) = 192
192 - f(x1)
------------------- = 56
7 -x1
192 - f(x1) = 56( 7 -x1)
192 - f(x1) = 392 -56x1
Now we need to pick points from the table and see where it is true
(6,96)
192 - 96 = 392 -56*6
96=56 False
( 5,28)
192 - 28 = 392 -56*5
164=112 False
(4,24)
192 - 24 = 392 -56*4
168=168 True
The interval is [4,7]
