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3 years ago

Divide 33 photos into two groups so the ratio is 4 to 7

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

3 0

You can say 4x + 7x = 33, so 11x=33, so x=3.
The groups will be sized 4*3=12 and 7*3=21.

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Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.

NISA [10]

Answer:

$\frac{\sqrt{\pi}}{4}$

Step-by-step explanation:

You are going to integrate the following function:

$g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}$ (1)

furthermore, you know that:

$\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}$

lets call to this integral, the integral Io.

for a general form of I you have In:

$I_n=\int_0^{\infty}x^ne^{-ax^2}dx$

furthermore you use the fact that:

$I_n=-\frac{\partial I_{n-2}}{\partial a}$

by using this last expression in an iterative way you obtain the following:

$\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}}$ (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

$\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}$

5 0

2 years ago

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Angle 7 angle 1 angle 4 angle 3 angle 2 angle 8

mylen [45]

Answer:

The answer is angle 7, 3, and 2

Step-by-step explanation:

Angle 7 is vertical, angle 3 is alternate exterior, and angle 2 is corresponding.

4 0

3 years ago

What is 1 and five eights plus 2 and threee sixteenths plus 7 and one half?

Helen [10]

Answer:

11 and 5/16

Hope this answers your question

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2 years ago

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.. Please... Please tell me you know fractions at least well enough to know this ;_;

3/4 is like 0.75, yeh?
3/8 is like.. 0.365

Change the Denominator (Bottom Number in Fraction) so they're the same:
6/8 3/8.

Now d'you see?

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3 years ago

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svet-max [94.6K]

4 hours and 15 minutes

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2 years ago