What is h(x) = 7 + 10x + x2 written in vertex form? h(x) = (x – 25)2 – 18 h(x) = (x – 5)2 + 32 h(x) = (x + 5)2 – 18 h(x) = (x +
1 answer:
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Answer:
a) 98.01%
b) 13.53\%
c) 27.06%
Step-by-step explanation:
Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2
If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,
a)
In this case, we are looking for P(0)
So, the probability that a car has no flaws is 98.01%
b)
Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.
Now P(k) is the probability that 10 cars have k flaws and
and
And the probability that 10 cars have no flaws is 13.53%
c)
Here, we are looking for P(1) with P defined as in b)
Hence, the probability that at most one car has no flaws is 27.06%
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
Substituting the slope and the y-intercept found into , you get the equation of this line:
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.