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3 years ago

A lottery has 53 numbers from which seven are selected. What is the probability of picking all seven numbers?

Mathematics

2 answers:

Keith_Richards [23]3 years ago

4 0

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

enyata [817]3 years ago

4 0

Answer:

there is a 13.3% of picking all seven numbers

Step-by-step explanation:

hope this helps

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Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

3 0

3 years ago

PLEASE ANSWER THIS AS SOON AS POSSIBLE

frutty [35]

What you have to do is multiply 0.42 by 8.3 million, then add that number to 8.3 million and you will have the total number of college students.

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3 years ago

The square root of 61 is in between 2 integers what are they

swat32

One way is to estimate
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
the number 61 is between 49 and 64 therefor the square root of 61is between the intigers 7 and 8 or -7 and -8

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3 years ago

Which equation could generate the curve in a graph below?

Vadim26 [7]

Pretty sure its the 3rd one

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3 years ago

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Which number is an irrational number?

babunello [35]

Answer:

For this case we have by definition, that an irrational number is a number that can not be expressed as a fraction \ frac {a} {b}, where a and b are integers and b is different from zero.

A) , it is rational

B), it is rational

C) , it is rational

D) it is not rational.

Step-by-step explanation:

dddddd its dddd

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