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Flauer [41]
3 years ago
9

Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value

of D?

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
CLOSSAL TITAN OF 3a-/a=3a
anastassius [24]3 years ago
3 0

Answer: C 3a^4

Step-by-step explanation:

I just took the test

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Suppose the number of insect fragments in a chocolate bar follows a Poisson process with the expected number of fragments in a 2
leonid [27]

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where \lambda = \frac{10.2}{200} = 0.051

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

\frac{1}{4} \times 200 = 50

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004

c)The expected number of grams to be eaten before encountering the first fragments :

E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 grams

7 0
3 years ago
A restaurant bill comes to $28.35. Determine the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax
Soloha48 [4]
In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
                                                 = 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
                                 = 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
                                                   = 35.79 dollars
8 0
3 years ago
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