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Q: What does supp pr q mean?
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What does pr mean for coin?

PR is a grading system used for proof coins


What is the 68-95-99.7 rule and could you demonstrate on these problems the mean of 70 and a standard deviation of 15 less than 55 less than 40 less than 85 less than 100 greater than 85?

The rule applies to the normal distribution. For any normal distribution, 68% of the observations lie within 1 standard deviation (SD) either side of the mean that is, between (mean - SD) and (mean + SD); 95% of the observations lie between (mean - 2*SD) and (mean + 2*SD); 99.7% between (mean - 3*SD) and (mean + 3*SD). To find the probability that a normally distributed random variable, with mean = m and SD = s, you calculate its z-score = (X - m)/s and look up the relevant probability value in tables. In doing this, you may have to use the symmetry of the normal distribution or the probability of complementary events (or both). This will depend on what exactly is tabulated. Mean 70, SD = 15 Pr[X < 55] = Pr[Z < (55 - 70)/15] = Pr[Z < -1] = 0.5*(1-0.68) = 0.5*0.32 = 0.16 Pr[X < 40] = Pr[Z < (40 - 70)/15] = Pr[Z < -2] = 0.5*(1-0.95) = 0.5*0.05 = 0.025 Pr[X < 85] = Pr[Z < (85 - 70)/15] = Pr[Z < 1] = 1 - 0.16 = 0.84 Pr[X < 100] = Pr[Z < (100 - 70)/15] = Pr[Z < 2] = 1 - 0.025 = 0.975 Pr[X > 85] = 1 - Pr[X < 85] = 1 - 0.84 = 0.16


Why is the sum or product of two rational numbers rational?

Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs.Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer.q and s are non-zero integers and so qs is a non-zero integer.Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.Also p/q * r/s = pr/qs.Since p, q, r, s are integers, then pr and qs are integers.q and s are non-zero integers so qs is a non-zero integer.Consequently, pr/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.


What does p over q mean?

p divided by q.


What does q mean in the equation q equals ml?

amount of heat energy