To simplify the expression we proceed as follows:
<span>d^2+4d+3/d^2-7d-8 + d^2-2d-8/d^2+5d+6
putting like terms together we have:
(d^2+d^2)+(4d-7d-2d+5d)+(3/d^2-8/d^2)+(-8+6)
=2d^2+0d-5/d^2-2
=2d</span>²-5/d²-2
Answer: 2d²-5/d²-2
The probability that you can get N heads in a row would be:
Let <span>p</span> be the probability of flipping a heads. Let <span>x</span> be number of flips needed to achieve <span>h </span>consecutive heads. The solution is <span><span>E(x) = (<span><span>1−<span>p^h) / (</span></span><span><span>p^h</span>(1−p))</span></span></span></span>
This expression may be derived as follows. The probability of being successful immediately is <span><span>p^r.</span></span> However, one might get a tails immediately. In that case, the number of flips needed is <span><span>1+E(x) </span></span>(one flip has been used and we are back to the original position). We might get a heads and then a tails. In this case two flips have been used and we are back to the original position. Continue this up to <span><span>h−1</span></span> heads followed by a tails in which case <span>h</span> flips have been used and we are back to the original position.
Answer:
12
Step-by-step explanation:
area =1/2 base×height
=1/2 ×4×6
=12
Answer:
$2.20
just count the coins and add 'em up :)
17.46 as a mixed number is 17 23/50.
92.004 as a mixed number would be 92 1/250
