Basically the one thing which I know about run rate is,it is calculated by dividing runs scored to number of overs.  But my question is, how to calculate the run rate midway through an over?
120633
I know the run rate is calculated by dividing the number of runs scored by number of overs.  How do I calculate the run rate midway through an over? If say a team scores 223 runs in 43.5 overs, what would the run rate be?
67140
Imagine a very fast bowler. The ball pitches, is missed by the batsman, is missed by the wicket keeper, and flies over the boundary. How much runs/extras?  Imagine a very fast bowler. The ball doesn't pitch, is missed by all, and flies over the boundary. How much runs/extras?  Bonus: Did either ever happen at some reasonable level? (The first might be physically impossible, but the second seems doable.)
79450
Okay so I have been having a problem and would really appreciate any help. I have posted a table below with the aim of making this as simple/precise as possible.  Value          %              Rounded %     Direction 10     1.515151515151520%       2%              Up 20     3.030303030303030%       3%             Down 30     4.545454545454550%       5%              Up 40     6.060606060606060%       6%             Down 50     7.575757575757580%       8%              Up 60     9.090909090909090%       9%             Down 70    10.606060606060600%      11%              Up 80    12.121212121212100%      12%             Down 90    13.636363636363600%      14%              Up 100   15.151515151515200%      15%             Down 110   16.666666666666700%      17%              Up T660        102%       Table explanation: Value is a number (total=660). The % is the percentage of the total ((value/660)*100%). Rounded is the % rounded at the percentage level rather than rounding the total. Direction is whether the rounding is up or down.  (row begining with T, = Totals)  Problem: I understand why I am getting 102%. I am creating a report that uses percentages and I want the rounded percentages to add up to 100% but be as mathematically accurate as possible.  Is it possible to determine which decimals in the % column are most significant to the overall increase in the total percentage?  Is there some universal equation that can be derived to perform this?  I know that this is pretty vague, so please comment if you need any clarification, but any help would be appreciated.   Thank you!
51315
Is there a way to calculate on average, the maximum amount of times we can expect a coin to land heads during 1,000 flips?  So the answer (and formula if one exists) I am looking for would be something like: during 1,000 flips we can expect a maximum run of 12 heads in a row.
102332
The situation is as below:  -------|----------------------------        |  stump |batsmen2   broken|batsmen1  here  |  -------|----------------------------   Is it a runout in the above situation?
98641
How do I calculate $\lim_{x\to 1}\frac{\sqrt[n]{x}-1}{\sqrt[m]{x}-1}$.  Please help me.  Thanks!
113648
If i have this sorted data:  $1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10$  They are 25 numbers.  How should I calculate the quartiles and percentiles?  I try this:  $Q_2 = 2 * \frac{25}{4} = 12.5$  $Q_1 = 1 * \frac{25}{4} = 6.25$   $P_{50} = 50 * 25/100 = 12.5$  Well, but what should I do when it is decimal, for non-clustered data? In some part I have seen,     approach the nearest larger whole.   So, $12.5 \rightarrow 13$  So, $6.25 \rightarrow 7$  In other places I read:     the value will be the average between the data that is at the left of   the position with the data on the right.   So, What should I really do?
78963
How to calculate Annual Percentage Rate (APR) given the following:  A - Loan borrowed at the beginning (USD 1000), B - Loan total costs paid at the end (USD 2000), c - Number of compounding periods per year (52 weeks), k - Number of periods to pay the loan (60 weeks)  All the formulas found in literature use nominal interest rate but here we do not have it.  By APR I mean:   I have constructed a spreadsheet where I can find APR with Excel Solver by changing nominal interest rate. Wouldn't there be more elegant solution for that?
32729
We know that in the first innings the predicted score and in the second innings the predicted winning percentage will be calculated in the WASP.   But there is only one formula for calculating both score and percentage.  V(b,w) =r(b,w) +p(b,w) V(b+1,w+1) +(1-p(b,w)))V(b+1,w)  How is this one formula enough to get two results?  This question is not related to the . I’m not asking about logical explanation here; I just want to know, what is the change that they do in the formula to get the percentage for the second innings?  Providing an example is a great thing for this type of question.
7228
Here's a situation that came up during a back lot league softball game a few weeks ago. (Note: While our league has some of its own rules we try to defer to MLB rules in all causes that aren't specifically addressed.)  There is a runner on second (R2) and a runner on first, with no outs. A ground ball is hit to the third baseman (3B) who cleanly fields the ball away from third base. Seeing that R2 is running toward him, 3B does not go to third and instead waits to tag the incoming R2. R2, in an attempt to buy some time for the other runners, stops advancing to third base. As soon as R2 stops, 3B declares R2 is out (without making a tag) and throws the ball to first to make a play.  During the discussion after the play, the 3B claimed that any player advancing on a force cannot stop moving toward their next bag or they are automatically out (the same way a runner leaving the baseline to avoid a tag is considered out). Our rules don't have a specific clause that addresses this situation and I couldn't find anything in official MLB rules (though it's possible I missed something, as 3B claims it is an MLB rule).  So, is 3B’s claim correct? That if a runner who is forced to advance to their next base stops (in particular to avoid/delay a tag) they are automatically out?
99595
if 100 x 1.17 (17%) = 117, how can I know how many % I have to deduct 117 to get 100? Obviously, this is no more 17%.   The same can be applied if 100 - 10% = 90. Then how many % I have to add to 90 to get 100? Again, it is no more 10%.   I know how to calculate this, but I was wondering if there is a math formula for this? something as simple as a*b=c =&gt; b=c/a
85737
Driver A has boon leading archrival B for a while by a steady 3 miles. Only 2 miles from the finish, driver A ran out of gas and decelerated thereafter at ta rate proportional to the square of his remaining speed. One mile later,driver A's speed was exactly halved.If driver B's speed remained constant,who won the race?  i have tried the set up the relation$d^2x\over dt^2$=$K ({dx\over dt})^2$ and integrate it but dont know how to do.
38241
So I'm supposed to express:  $$1.24\overline{123}=1.24\;123\;123\;123\;\ldots$$ as the ratio of two integers.  So I got $$1+\frac{24}{100}+\frac{123}{10^5}+\cdots$$  I don't know if this is correct, and if it is, I also don't know how I would get the common ratio from this. Would the common ratio just be $\frac{1}{10^5}$? Am I doing this wrong?
83383
This is not homework. I am interested in understanding if my logic is correct with this simple stats problem.  Let's say I have a 2 sided coin where the probability of flipping a head is $P(H)$ and the probability of flipping a tail is $1-P(H)$. Let's assume all flips have independent probabilities. Now, let's say I want to maximize my chances of predicting whether the coin will be a head or tail on the next flip. If $P(H) = 0.5$, I can guess heads or tails at random and the probability of me being correct is $0.5$.  Now, suppose that $P(H) = 0.2$, if I want to maximize my chances of guessing correctly, should I always guess tails where the probability is $0.8$?  Taking this one step further, if I had a 3-sided die, and the probability of rolling a 1, 2, or, 3 was $P(1)=0.1$, $P(2)=0.5$, and $P(3)=0.4$, should I always guess 2 to maximize my chances of guessing correctly? Is there another approach that would allow me to guess more accurately?
104855
My question is essentially simple: suppose we have a sequence of heads and tails with an apparent chance of getting heads $\hat{p} = 0.5$.      h h t h t t t h t t h ...   How do we tell if this sample was drawn from a binomial distribution with this $\hat{p}$ or if it comes from a combination of different distributions which produces the same average? (e.g. $p = 0.25$ or $p = 0.75$)  Here's what I was thinking of doing:   We chop the sequence into subsections of length $n$, for example $n=5$, and calculate $\hat{p}$ in every such window: {h h t h t}, {t t h t t}, {h ...}0.6, 0.2, ... We then calculate the standard deviation in these $\hat{p}$ values: $\sigma_{ex}=\sqrt{\frac{\sum_{i=1}^M{(\hat{p}_i - \hat{\mu})^2}}{M}}$, where $\hat{\mu}$ is the average $\hat{p}$ and $M$ is the total number of windows of size $n$ we can make.  We calculate the standard deviation in $\hat{p}$ based on a binomial distribution, $\sigma_{th}=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$.   Now comes the problem: how to determine if these two values are the same? After a lot of research, I decided to try using an F-ratio test and plugging the result into an f-distribution.  F-ratio: $F = \frac{\sigma_{ex}^2}{\sigma_{th}^2}$ (only valid for normal-distributions :S)  And then an f-distribution to get to a p-value we can check against. However, for the f-distribution I need to know the degrees of freedom in the nominator and denominator. And therein lies my problem: what are the degrees of freedom for the variance calculated from theory? (In the experimental case I think it is M)  If you have this answer or any suggestions on how to solve this problem differently, I would love to hear about it!
20751
I'm not sure how to go about this. Does it involve using MVT?  I got as far as saying $e = \frac{e^x - e^y}{x-y}$.
123301
Here is the data-set:   I understand that the cum per sums all the previous data up until that point. So 153 / 1655 = 19.8%, or if looking at the cum freq a total of 328 people scored 4 or less on the vocabulary test. But how does one determine if this is the 25th percentile? At what point in the range of cum per would one know it it's the 25th percentile, 50th percentile or 75th percentile?  Please help Thank you