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satela [25.4K]
3 years ago
14

A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity

after 67 minutes, to the nearest hundredth?
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

23400 x 8/100 = 1872 = the loss  

1872 : 12 = 156= the loss each month  

156/1872*100% = 8.33 % then round it

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A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occ
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Answer:

a) The mean number of cases is 0.14608 cases.

b) The probability that the number of cases is exactly 0 or 1 is 0.990.

c) The probability of more than one case is 0.010

d) No, because the probability of more than one case is very small

Step-by-step explanation:

We can model this problem with a Poisson distribution, with parameter:

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a) The mean amount of cases is equal to the parameter λ=0.14608.

b) The probability of having 0 or 1 cases is:

P(k=0)=\frac{\lambda^0 e^{-\lambda}}{0!}=\frac{1*0.864}{1} =0.864\\\\ P(k=1)=\frac{\lambda^1 e^{-\lambda}}{0!}=\frac{0.14608*0.864}{1} =0.126\\\\P(k\leq1)=0.864+0.126=0.990

c) The probability of more than one case is:

P(k>1)=1-P(k\leq 1)=1-0.990=0.010

d) The cluster of 4 cases can not be due to pure chance, as it is a very high proportion of cases according to the average rate. Just having more than one case has a probability of 1%.

7 0
3 years ago
Which binomial is a factor of 100x2 – 49?
pentagon [3]

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

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Step-by-step explanation:

hi see the pic for the steps

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