x^4 - 1
-------------
x^2 + 1
(x^2 +1) (x^2 - 1)
= ------------------------
x^2 + 1
= x^2 - 1 ..................this is your answer
<span>We have 75 mL of 4% sugar solution.
We have to add a 30% sugar </span><span>solution to make a 50% </span><span>sugar solution.
75 * .04 + .30x = .50 * (75 +x)
3 + .30x = 37.5 +.50x
I can't get the equation to solve.
Did you type it correctly? For one thing, you have the percentages typed as .30 % and 4%. Are the decimal places in the correct positions?
Also, no matter how much 30% sugar solution you add, it will NEVER increase to 50%.
</span>
Answer:
The probability of the combination {H, T and H} is 0.125.
Step-by-step explanation:
The sample space of flipping a quarter is:
S = {H and T}
The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.
It is provided that three quarters are flipped one at a time.
The outcomes of all the three quarters are independent of each other.
Compute the probability of the combination {H, T and H} as follows:


Thus, the probability of the combination {H, T and H} is 0.125.