What is (2x + 1)(3x + 7) simplified
2 answers:
Answer:
+17x+7 and zeros are -7/3 and -1/2
Step-by-step explanation:
You multiply every property by every variable not in their own parentheses.
2x*3x=6x^2
2x*7=14x
3x*1=3x
7*1=7
6x^2+3x+14x+7
add like variables together 3x+14x
6x^2+17x+7
( To get the zeros just make each equation in the parentheses equal to zero and solve for x.) ex 2x+1=0 x=-1/2
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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%