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Mrrafil [7]
3 years ago
8

Consider the extremely large integers

Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0
It's been a while since I've done something like this, but I believe it would just be 29*67? Since 29 would divide into x and 67 would divide into y? 
finlep [7]3 years ago
3 0

Well, the first long expression is the prime factorization of x. The second long expression is the prime factorization of y. The only number that they have in common is 29. If you divide y by 67, you need to also be able to divide x by 67, which you cannot. So 29 is the greatest common divisor of x and y.

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USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eight people at random off
Law Incorporation [45]

Answer:

a) Figure and code attached

b) E(X)=\mu = np = 8*0.2= 1.6

Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28

Sd(X)=\sigma= \sqrt{1.28}= 1.131

c) P(X\geq 7) =0.97

And we can calculate this with the complement rule.

P(X \geq 7) = 1-P(X

So then we have:

P(X \leq 6) = 0.03

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=8, p=0.2)

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:

nCx=\frac{n!}{(n-x)! x!}

Part a

We can use the following R code to generate the histogram for this case:

> x <- seq(0,8,by = 1)

> y <- dbinom(x,8,0.2)

> plot(x,y,type = "h",main="Histogram")

And as we can see we got the result on the figure attached. And the distribution seems to be skewed to the right.

Part b

For this case the expected value is given by:

E(X)=\mu = np = 8*0.2= 1.6

The variance is given by:

Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28

And the standard deviation would be:

Sd(X)=\sigma= \sqrt{1.28}= 1.131

Part c

For this case we have the following inequality:

P(X\geq 7) =0.97

And we can calculate this with the complement rule.

P(X \geq 7) = 1-P(X

So then we have:

P(X \leq 6) = 0.03

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

5 0
3 years ago
Trella alcala deposited 1,950 in a new credit union savings account on the first of the quarter the principal earns 4.25 percent
mrs_skeptik [129]
Amount in compound interest = p(1 + r/t)^nt where p is the initial deposit, r = rate, t = number of compunding in a period and n = period.

Here, Amount after 6 months (0.5 year) = 1,950(1 + (4.25/100)/4)^(0.5 x 4) = 1,950(1 + 0.0425/4)^2 = 1,950(1 + 0.010625)^2 = 1,950(1.010625)^2 = 1,950(1.0213629) = $1,991.66

Compound interest = Amount - principal (initial deposit) = $1,991.66 - $1,950 = $41.66
5 0
3 years ago
Read 2 more answers
Find the point on the graph of y=x^2 where the tangent line has slope m= - 1/3
babunello [35]

Here the graph y=x²

Taking the 1st derivative here of the y it will be

y1 = 2x

m=-1/3

That is m=2x

so x=-1/6

so y=(-1/6)²=1/36

So the coordinate of point will be=(-1/6 , 1/36)

8 0
3 years ago
Given Δ ABD ≅ ΔEBD, what can you conclude?
Anna71 [15]
You can conclude that AE = DE because the triangles are about equal
8 0
3 years ago
Read 2 more answers
Determine the value of each expression.<br> i11=
Basile [38]

Answer:

11 * I

Unless you can tell me what I is equal to, I can't give you a number as an answer. Just take what ever I is equal to, an multiply it by 11. If the answer choices are equations rather than numbers, than just say 11 * 1.

If the question comes with any more information, please comment so I can give you a stronger answer.

Hope this helps! :)

              -Sophia

7 0
3 years ago
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