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Where would 1and 1 half 1 and 3 4ths ande 1.4 go on an number line?
Wiki User
∙ 12y ago
They would all lie between 1 and 2. 1.4 would be the leftmost (closer to 1), 1½ is in the middle, and 1 3/4 is rightmost (closer to 2).
Wiki User
∙ 12y ago
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Is there any pattern in the number of vertices edges and faces?
A prism with an n-sided base will have 2n vertices, n + 2 faces, and 3n edges. A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges.
How do you put the fractions 1 over 9 2 over 3 ande 2 over 6 in equivilent order?
1/9 = 1/9 2/6 = 3/9 2/3 = 6/9
Three x squared minus six x equals zero?
(3x)2-6x=0 =>9x2-6x=0 =>x(9x-6)=0 =>either x=0 or x=6/9=2/3=0.66 by pravat ande asish BIITM,BBSR BCA 4TH
How are variance and standard deviation used as measures of risk for both a security and a portfolio?
Risk reflects the chance that the actual return on an investment may be very different than the expected return. One way to measure risk is to calculate the variance and standard deviation of the distribution of returns.Consider the probability distribution for the returns on stocks A and B provided below.StateProbabilityReturn onStock AReturn onStock B120%5%50%230%10%30%330%15%10%320%20%-10%The expected returns on stocks A and B were calculated on the Expected Return page. The expected return on Stock A was found to be 12.5% and the expected return on Stock B was found to be 20%.Given an asset's expected return, its variance can be calculated using the following equation:whereN = the number of states,pi = the probability of state i,Ri = the return on the stock in state i, andE[R] = the expected return on the stock.The standard deviation is calculated as the positive square root of the variance.Note: E[RA] = 12.5% and E[RB] = 20%Stock AStock B
What is negative i raised to the i power where i is the imaginary unit equal to square root of -1?
-√(-1)√(-1) can be shortened to -ii, where i = √(-1).The answer to this question is not trivial. To answer it, we must invoke Euler's formula, which is eix = cos(x) + isin(x).Substituting in π/2 for x gives us eiπ/2 = cos(π/2) + isin(π/2).Well, the cos(π/2) is 0, and the sin(π/2) is 1, so the above becomes:eiπ/2 = i.So, now we raise both sides to the power of i:ei*iπ/2 = ii.Using the basic identity for i:i*i = i2 = -1.So, now we have e-π/2 = ii, or -e-π/2 = -ii.Well, -e-π/2 is a real number, and its value is -0.20788.For the similar case of (-i)i, we substitute -π/2 into Euler's formula.This gives us e-iπ/2 = cos(-π/2) + isin(-π/2) = 0 - i = -i.Once again, raising both sides to the power of i and using the same identity, we get eπ/2 = (-i)i.Again, the result is a real number, eπ/2, whose value is 4.81047.--NOTE.I'd like to add that (-i)ior ii are not (well-)defined, so there is no correct/definite answer to this question.Indeed, Euler's formula is valid, but the formula is inclomplete; in fact it isei.(x+2.k.π) = cos(x) + i.sin(x) for any integer k.Therefore,ei.π.(2.k+1/2) = i for any integer k,and soe-π.(2.k+1/2) = ii for any integer k,proving that it is not well-defined.Other possible values for ii are e-π.(-2+1/2) =eπ.(3/2) = 111.31777... ande-π.(2+1/2) =e-π.(5/2) = 3.88203203... x 10-4. The reason for this is, that in order to compute ii we like to write ii=ei.log(i), but to compute log(z) for a complex number z, one has to decide on what branch of log(.), the inverse of the periodic exp(.), z is located. Note that this aspect was ignored in the previous answer. Therefore, there is no correct answer for this question: any branche of log(.) can be chosen to produce an answer that may suit the context. The question does not give this context.
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