maths
Assuming the distances are measured at sea-level, then the altitude of the plane does not affect the distance between the two ships as long as they are navigating both at sea level. Since they form a right angled triangle with angle P, we can find the distance AB using Pythago...
Math
Correct. The formula used is 8C6*p^6*(1-p)^2 where p=0.6, 8C6=28.
statistics
Selected students means you are dealing with a sample from a population. The best you can do with a sample is to estimate the correlation coefficient of the population, or the correlation coefficient of the sample. See the formulas and examples from: http://stattrek.com/statis...
math
If you suspect that the rule is a straight line, y=mx+b then find the slope using m=(y2-y1)/(x2-x1) Substitute m and (x1,y1) into the equation to find b. Verify that the rule applies to all the points.
mathe
Not familiar with how bonds work. Here's a try. Assuming the bond is issued for 30 years, then, and the current yield is x*100%. 1000=78.5(1+x)^30 1+x=(1000/78.5)^(1/30)=1.08852, or current yield is 8.852%
algebra
You can use the same reasoning as the answer to your previous post.
math
The roots p,q, of the equation ax²+bx+c=0 have the properties that: p*q = c/a p+q =-b/a Check each of the solution sets above, c/a=-3.5 If p*q ≠ -3.5, then p and q are not solutions to the equation. If p*q = -3.5, then check if p+q = -b/a=2.5. If both conditions are sa...
solve the equation - typo
We will use a lemma that states: logax = loga²x² The proof of the lemma is left to you as an exercise, if it was not already covered in your course.
solve the equation
Given log14x+49 - log196x = 1 We will use a lemma that logax=loga²=x² Since 196=14², we write above as log14x+49 - log14²x = 1 Then log14²(x+49)² - log14²x = 1 Rewrite using laws of logarithm: log14²(x+49)²/x = 1 Using the alternate...
math
Let A be the top of the pyramid, B = centre of pyramid at ground level P=position of first observation (angle=20 deg) Q=position of second observation (angle=10 degrees) Then PQ=189 feet and APQ is a triangle where APQ=10° AQP=180-20=160° Consequently PAQ=10 deg by ang...
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