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xxTIMURxx [149]
3 years ago
5

Expand and simplify (x+2)(x+3)

Mathematics
1 answer:
aalyn [17]3 years ago
5 0
X multiplied by x is x squared
x multiplied by 3 is 3x
2 multiplied by x is 2x
2 multiplied by 3 is 6

x squared + 3x + 2x + 6
x squared + 5x + 6
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he number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.02
Yakvenalex [24]

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,

P(k)= \frac{0.2^ke^{-0.2}}{k!}

a)

In this case, we are looking for P(0)

P(0)= \frac{0.2^0e^{-0.2}}{0!}=e^{-0.2}=0.9801=98.01\%

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  

P(k)= \frac{2^ke^{-2}}{k!}

and  

P(0)= \frac{2^0e^{-2}}{0!}=0.1353=13.53\%

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)

P(1)= \frac{2^1e^{-2}}{1!}=2e^{-2}=0.2706=27.06\%

Hence, the probability that at most one car has no flaws is 27.06%

6 0
3 years ago
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Determine which side is the smallest in the diagram
AnnyKZ [126]

the shortest side is always opposite the smallest angle.

In triangle ABC the shortest side is AC

In triangle ADC  the shortest side is DC

DC<AC since they are in the same triangle.

5 0
3 years ago
Ksenia wants to chop broccoli and carrots for a competition. Her goal is to chop at least 20 vegetables (condition A) with a tim
Lapatulllka [165]

Answer:

At least 10 carrots

Step-by-step explanation:

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3 years ago
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20r3 − 16r2 + 15r − 12
kati45 [8]

Answer:

(5r-4)(4r^(2)+3)

Step-by-step explanation:

Hope it helps

7 0
3 years ago
-4(5x)=12 is it true false or open?
Ipatiy [6.2K]
False if that's what you're asking
8 0
3 years ago
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