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3 years ago

Explain how to tell weather an event is as likely as not

1 answer:

5 0

I think the answer may be that an event is as likely as not to happen when the probability of the event happening is 50%, and the probability of the event not happening is 50%. Like a coin toss, the chance you will flip a "heads" is 1/2 or 50%, and the chance that you WON'T flip a heads is also 1/2 or 50%

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Find the definite integral from 0 to 1/16 of arcsin(8x)/sqrt(1-64x^2)dx

kolezko [41]

$\displaystyle\int_0^{1/16}\frac{\arcsin8x}{\sqrt{1-64x^2}}\,\mathrm dx$

First let $y=8x$ , so that $\mathrm dx=\dfrac{\mathrm dy}8$ to write the integral as

$\displaystyle\frac18\int_0^{1/2}\frac{\arcsin y}{\sqrt{1-y^2}}\,\mathrm dy$

Now recall that $(\arcsin y)'=\dfrac1{\sqrt{1-y^2}}$ , so substituting $z=\arcsin y$ should do the trick. The integral then becomes

$\displaystyle\frac18\int_0^{\pi/6}z\,\mathrm dz=\frac1{16}z^2\bigg|_{z=0}^{z=\pi/6}=\frac{\pi^2}{576}$

8 0

3 years ago

A standard letter-sized piece of paper has a length and width of 8.5 inches by 11 inches.

den301095 [7]

Answer:

Area of the resulting rectangle = 23.375 inch²

Step-by-step explanation:

After 1 fold width or length reduces to half.

Area = Length x width

So after 1 fold area will reduce to half.

So we have

$\texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}$

Initial area = 8.5 x 11 = 93.5 inch²

Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is

Number of folds = 2

$\texttt{Area after 2 folds =}\frac{\texttt{Initial area}}{2^{2}}\\\\\texttt{Area after 2 folds =}\frac{93.5}{4}=23.375inch^2$

Area after 2 folds = 23.375 inch²

Area of the resulting rectangle = 23.375 inch²

8 0

3 years ago

12 inches to millimeters

gogolik [260]

The answer is 304.8 millimetres

3 0

3 years ago

Read 2 more answers

What are the slope and y intercept of the line 4y= -x - 32

Alona [7]

First you'll have to bring the equation in form y = mx + b.

4y = -x - 32
y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)

7 0

3 years ago

Read 2 more answers

7 (8.02) need answer asap

timama [110]

Both groups are similar.

7 0

3 years ago