1.) Rearrange terms Hope this helps!! :))
4(2h+g)
4(g+2h)
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2.) Distribute
4(g+2h)
4g+8h
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Solution
4g+8h
Answer: (a) Independent events , (b) 0.00075
Step-by-step explanation:
Since we have given that
Number of coins = 218
Number of rare Indian pennies = 6
Let Event A: When one of the 218 coins is randomly selected, it is one of the 6 Indian pennies.
Event B : When another one of the 218 coins is randomly selected (with replacement), it is also one of the 6 Indian pennies.
As we know that
(a) so, they are independent events as there is a condition of 'with replacement'.
(b) P(A and B) is given by
Hence, (a) Independent events , (b) 0.00075
The simplest way would be to use a calculator to evaluate B = arcsin(0.7245)
<span>If you don't have a calculator, the next, more complex way would be to interpolate a table of sines and find the value of the angle whose sine is 0.7245. That is the method that was most widely used before the invention of hand held calculators and after sine tables had been published. </span>
<span>The next, most complex way would be to evaluate terms in the infinite series representation of the arcsine function which is the way the sine tables were developed for publication. That series is </span>
<span>arcsin(x) = x + x³/6 + (3/40)x^5 + (15/336)x^7 + ... </span>
<span>The result for any of those methods would be B = 46.4° </span>
<span>Geometrically, you could: </span>
<span>1) Draw a circle of known radius, R. centered at the origin of a rectangular coordinate system </span>
<span>2) Draw a line parallel to the x axis a distance 0.7245R above the x-axis </span>
<span>3) Draw a line connecting the origin to the rightmost point of intersection between the circle 1) and the line 2). </span>
<span>4) Measure the angle between the line 3) and the +x axis. </span>
<span>The Angle 4) will be the measure of the angle whose sine is 0.7245. </span>
<span>That explains four ways you can find the measure of the angle whose sine is 0.7245.</span>
B
On the B graphs the two lines intersect at (4,1) making it the solution
