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How about "Up the Creek Without a Saddle"!
Complete factoring is the process of breaking the expression down into a multiplicative product of terms that can't be broken down any further. Here, you can simplify the expression you're given quite a bit just by noting that all three terms in it are
Number 2 doesn't look like stratified to me: there's no stratification involved. Stratification is the process of grouping members of the population into relatively homogeneous subgroups before sampling, whereas here the pollster is simply picking voters
The first part seems easy enough, but we're not at all sure about the second part. The investment is earning 7% compounded semi-annually until he turns 18, so that means the original $4,500 will have become ((1.07)^36) x $4,500 = $51,407.74 on his 18th
As a general point, before you resort to any actual math at all it's always a good idea to just LOOK at the equation for a few seconds and see if anything leaps out at you - because the more complicated an equation is, the more time a flash of inspiration
You might possibly find that it's easier to write the paper first, and then assign a title to it once you've written it - because at least then you'll know what it is that you're putting a title to. On the other hand, if you decide what the title's going
You could argue that an economic community's social responsibilities are driven to a great extent by its own imperatives - and all three of the available choices presented in the question potentially impact upon these to a greater or lesser degree. You
Sketch it out, and you should find that if the height of the mountain is h, and the distance from the base of it to point A (which must be nearer than B) is a, then h/a = tan(56 Deg), and h/(9.4+a) = tan(38 Deg). Both of those tangents can be looked up in
Oops - that "ë" is supposed to be a lambda symbol. Wikipedia on "Lagrange Multipliers" will show how it works.
Use Lagrange multipliers to maximize g(x, y, z, ë) = 3x+1y+5z + ë(x^2+y^2+z^2-1) by differentiating it with respect to x, y, z and ë: dg/dx = 3 + 2ëx = 0; dg/dy = 1 + 2ëy = 0; dg/dz = 5 + 2ëz = 0; dg/dë = x^2+y^2+z^2-1 = 0 so (a) 2ëx = -3 (b) 2ëy
The square root of 841. Why? Because if there's an X that's a factor of 841, then (841/X) must also be a factor - so if you know one then you know the other, which means that once you've investigated every possibility up to and including sqrt(841), i.e.
500 is a fairly big number, so you can use a Normal approximation to the binomial distribution to work this out. The binomial parameters you want are N = 500 and P = 0.8. The mean is just N.P = 400. The standard deviation is sqrt(N.P.(1-P))=8.94. The 95%
Do you mean 4q-3p? If so, the first one fits the bill (i.e. 4x7 - 3x2 = 22). And did you mean to include more than just two pairs of points?
Actually, it's not a t-test. The question doesn't ask whether the route is shorter or longer, but whether the route is more consistent - and that means whether its less variable. To find THAT out, you need to ask whether the standard deviation for Route B
All three numbers are quite large, so first of all try to find a common factor so you can make the problem smaller. Actually 7 will divide all three of them - so you can reduce it to: 7 x (16r^2 + 56rp + 49p^2) Is the contents of that bracket the square of
And actually the calculations you need to perform are pretty much the same as the ones described in parts 1 and 3 of that question, so there's nothing to add here.
First part of the question: no, 99°F isn't all that unusual. It is (99.0 - 98.2) / 0.62 = 1.29 standard deviations above the mean - and if you look that up in a set of Normal distribution tables, you'll find that the area to the left of 1.29 is 0.9015.
Okay - I've just found it on your other posting. I'll be back when I've done a few calculations.
There's one critical piece of information missing here, which is a measure of spread (either the standard deviation or the variance) that will tell you the distribution of the temperature of normal and healthy adults. Without that, you can't work out the
