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Tatiana [17]
3 years ago
13

(3+13)^2-6(9)^3+(67)^2-60

Mathematics
2 answers:
natali 33 [55]3 years ago
8 0

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

(3 + 13)^2 - 6(9)^3 + (67)^2 - 60

((3 + 13)^2) - (6(9^3))  + (67^2) - 60

   16^2       - (6(729)) + (4489) - 60

   256        -  4374    +  4489  - 60

   256         +           115           - 60

                 371                         - 60

                                311

<em>I hope this helps! Please mark brainliest!</em>

crimeas [40]3 years ago
3 0

Answer:

311

Step-by-step explanation:

3+13=16

16^2=16*16=256

9^3=9*9*9=81(9)=729

729*6=4374

67^2=67*67=4489

---------------------------

256-4374+4489-60=311

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And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

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And adding we got:

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Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

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X \sim Binom(n=10, p=0.65)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

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Solution to the problem

For this case we want to find this probability:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)

And we can find the individual probabilities like this:

P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176  

P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072  

P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013  

And adding we got:

P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262

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