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## Jim S.'s Resources

Hannah,           First lets let F=the first number and S= second number Now we want to translate the problem statements into relationships among the two variables F and S   S=3F+2 and  S2-F2=60  and S≥0 and F≥0     &...

If you paid 12,000\$ for the car and it depreciates 10% after the first year it's now worth 12,000-.1*12,000 or 12,000(1-.1) for the second year it's worth 12,000*(1-.1)2 and for the third it's 12,000*(1-.1)3 so now interns of O and P and Y we have   Depreciated value =O*(1-P)y  make...

Ash       β is defined as the covariance between the returns of the particular stock and the benchmark could be the S&P 500 or the Dow. Excel has a covariance function all you have to do is supply the data.        It measures the relationship between...

Megan,             The probability of detecting a plane is p then the probability of not detecting is 1-p and since each radar system is independent the probability of all six radars not detecting the plane is (1-p)6 =1.17*10-7 .   Jim

Jennifer,           Think of a complex number as a two dimensional vector in order for two vectors to be equal their components have to be equal, the same is true for a complex number, the real and imaginary parts have to be equal.   the real part is x and...

The first set of equations when put slope/intercept form are y=2-x and y=-x and since the slopes of the two lines are the same (-1) they will not intersect so there is no solution. The second set can be written as y=3-x and y=x-3 so 3-x=x-3 or 2x=6, x=3 and y=0 is the solution. This set of lines...

If y=(1/3)x and x=-18 then y=-6....it's a lot more fun when you make u the problem   Jim

Jamell,             The P(z≤a)+P(z>a)=1, so P(z>a)=1-P(z≤a)=1-.7116=.2884 Jim

Lisa,         I'm going to assume that this launch takes place in the earths gravitational field g=-32.2ft/sec2.   so d=V0t-1/2gt2 where d= distance traveled in the y direction, V0= the initial speed =95 ft/sec. This equation describes the position of the rocked...

Jalen,             There are at least two ways to keep these kinds of problems straight the first is intuitive and visual...if you picture the integers on a line starting way to the left say at -500 and continuing to the right by adding one each time then the next...

You need to know how high the object rebounds to calculate the impact force. See for example http://hyperphysics.phy-astr.gsu.edu/hbase/flobi.html   jim

Hannah,            An easy way to sort out the vectors is take them one at a time and sketch them. They are given in polar form you need to convert them to their x and y components.    First:position vector magnitude 1390 m at 145 deg second:...

9x-49=2x subtract 2x from both sides 7x-49=0 add 49 to both sides 7x=49  divide both sides by 7 x=7   Jim

The mean would increase since it is calculated from the sum of the individual data points divided by the number of data points and the largest data point increased by 10 percentage points. The sum (numerator) is larger but the denominator remains the same so the mean would increase.   Hope...

I'll do the first one the rest are done in the same way:   Given that the mean is 4 so 4=(5+1+6+3+4+x)/6, 24=19+x, so x=5   Hope this helps   Jim

Stacy,        The substitution method; first you solve one of the equations for one of the variables in term of the other variable. Which one you choose does not matter.   x+2y=4 2x-y=-7   Let's solve the second equation for y, y=2x+7...

Kaitlynn,          Using the product rule gives dy/dx=x2 *(-e-x)+e-x(2x)=-e-x(-2+x)*x. This is the equation for the tangent to the original curve, the tangent is horizontal when dy/dx=0 so setting -e-x(-2+x)*x=0 gives x=0, 2 and ∞ are the points...

Sandra,                The constant term is just the atmospheric pressure i.e. when z=0 the coefficient of d is the pressure of a column  of water d feet high which is 62.4 lbs/ft3 /144 in2/ft2 or .43psi/ft of depth. So P(d) is the total pressure...

Casie,            The period T=1/f where f is the frequency  so f=1.015*108 Hz and T=9.852*10-9 sec.   Hope this helps   Jim

Hi Roslyn,                Assuming that blood pressure is normally distributed  with μ=118 and σ=9 the Z=(120-118)/9 = .22222 and P(Z>.2222)=.4121 from a table of the cumulative normal distribution. This makes sense because the P(Z>0)...

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