You just have to think what is 40% of 100 which is 40 then multiply 40 2 times to find out the answer four 40% of 200 when you do 40x2 it =80 so the answer is 80

8 0

3 years ago

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An examination consisting of ten true-or-false questions was taken by a class of 100 students. The probability distribution of t

Grace [21]

Answer:

The height of this rectangle is 8/10

Step-by-step explanation:

Please see attachment .

4 0

3 years ago

Find the half range Fourier sine series of the function

worty [1.4K]

The full range is $-\pi$ (length $2L=2\pi$ ), so the half range is $L=\pi$ . The half range sine series would then be given by

$f(x)=\displaystyle\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L=\sum_{n\ge1}b_n\sin nx$

where

$b_n=\displaystyle\frac2L\int_0^Lf(x)\sin\dfrac{n\pi x}L\,\mathrm dx=\frac2\pi\int_0^\pi(\pi-x)\sin nx\,\mathrm dx$

Essentially, this is the same as finding the Fourier series for the function

$\begin{cases}g(x)=\begin{cases}\pi-x&\text{for }0$

Integrating by parts yields

$b_n=\dfrac2\pi\left(\dfrac\pi n-\dfrac{\sin n\pi}{n^2}\right)=\dfrac2n$

So the half range sine series for this function is simply

$f(x)=\displaystyle\sum_{n\ge1}\frac{2\sin nx}n$

5 0

3 years ago