Answer:
I suppose maybe the catch is in interpreting the following sentence: "The values of these two amounts are modeled as constants that are unknown". I take it to mean that they're just two randomly and independently generated numbers.
Step-by-step explanation:
The answer given in the solution manual claims that this indeed helps, and that the probability of getting the better envelope is given by
p=1/2+1/2P(B)
where B is the event that a<X<b, with a,b being the smaller and larger amount of dollars, respectively.
I do not buy this solution for the following reason: tossing a coin has nothing to do with the contents of the envelopes. You do not gain any information by doing it. You could just as well count the amount of leaves on a nearby tree instead and use that for X.
Similarly, opening the first envelope also gives you no useful information about the ordering relation between a and b, so surely that's another red herring. Even if you forget the coin tossing, the probability of "winning" is still 1/2, swap or no swap.
Answer:
there are 4/10 in 2/5 because if you divided it by 2 you get 2/5
Step-by-step explanation:
Assume that
and <span>multiply the equation
by 4p. Then you obtain the equation
.
</span>
1) If k>0, then 4pk>0 and the equation doesn't have solutions, because <span>
and this is unreal.
</span>
<span>2) If k=0, then 4pk=0 and
. There is one solution x=h.
</span>
2) If k<0, then 4pk<0 and the equation
<span>
has two different solutions
and
.</span>
Answer:
2.10 * 1.01 = 210/100 * 101/100 = 21/10 * 101/100 = 2121/1000 = 2.121
Answer:
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h.
Here, r = 5cm, and h = 15 cm, and so the volume is:
V = πr²h = π(5 cm)²(15 cm), or:
V = π(25 cm²)(15 cm) = 375π cm³, or approximately 1170 cm³
