Answer:
It's steepness decreases
Step-by-step explanation:
If you graph both, you can see it's less steep. Sorry I don't know if there's any other faster way.
Answer:
1. p*(1-p)
2. n*p*(1-p)
3. p*(1-p)
4. 0
5. p^2*(1-p)^2
6. 57/64
Step-by-step explanation:
1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].
E[Ik]= p*(1-p)
2. Using the answer to part 1, find E[R].
E[R]= n*p*(1-p)
The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.
3. If k∈{1,2,…,n}, then
E[I2k]= p*(1-p)
4. If k∈{1,2,…,n−1}, then
E[IkIk+1]= 0
5. If k≥1, ℓ≥2, and k+ℓ≤n, then
E[IkIk+ℓ]= p^2*(1-p)^2
6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.
var(R)= 57/64
Answer:
2.44pi
Step-by-step explanation:
it's in the picture
<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>
Answer:

Step-by-step explanation:
1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.
2) We know that the slope has to be parallel to the given line,
. Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be
.
3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

Therefore,
is our answer. If you have any questions, please do not hesitate to ask!