CrazyAzn89

It is necessary to transmit the human voice using a frequency range from 300 Hz to 3.5 kHz using a digital system.

(a) What is the minimum required sampling rate, according to theory?

(b) Why would a practical system need a higher rate than the one you calculated in part (a)?

Among the adults in a large city, 30% have a college degree. A simple random sample of 100 adults is chosen. What is the probability that more than 35 of them have a college degree?

A gas station earns $2.60 in revenue for each gallon of regular gas it sells, $2.75 for each gallon on midgrade gas, and $2.90 for each gallon of premium gas. Let X1, X2, and X3 denote the numbers of gallons of regular, midgrade, and premium gasoline sold in a day. Assume that X1, X2, and X3 have means μ1 = 1500, μ2 = 500, and μ3 = 300, and standard deviations σ1 = 180, σ2 =90, and σ3 = 40.

a.) Assuming X1, X2, and X3 to be independent, find the standard deviation of the daily revenue.

After manufacture, computer disks are tested for errors. Let X be the number of errors detected on a randomly chosen disk. The following table presents values of the cumulative distribution function F(x) of X.

x F(x)

0 0.41

1 0.72

2 0.83

3 0.95

4 1.00

a) What is the probability that two or fewer errors are detected?

b) What is the probability that no errors are detected?

An electrical load has a power factor of 0.8 lagging. It dissipates 8 kW at a voltage of 200 V. Calculate the impedance of this load in rectangular coordinates.

Of all failures of a certain type of computer hard drive, it is determined that in 20% of them only the sector containing the file allocation table is damaged, in 70% of them only nonessential sectors are damaged, and in 10% of the cases both the allocation sector and one or more nonessential sectors are damaged. A failed drive is selected at random and examined.

1) If the drive is found to have a damaged allocation sector, what is the probability that some nonessential sectors are damaged as well?

2) If the drive is found to have a damaged allocation sector, what is the probability that NO nonessential sectors are damaged?

For the first problem I got 0.875 but not sure if that's correct and for the second problem I don't know how to figure it out because it is asking for no nonessential sectors damaged?

The article "Integrating Risk Assessment and Life Cycle Assessment: A Case Study of Insulation" estimates that 5.6% of a certain population has asthma, and that an asthmatic has probability 0.027 of suffering an asthma attack on a given day. A person is chosen at random from this population. What is the probability that this person has an asthma attack on that day?

In a certain state, license plates consist of three letters followed by three numbers.

a. How many different license plates can be made?

I think I got this part correctly. For this I did 26*26*26*10*10*10 = 17,576,000 because it's 26 letters and 10 digits.

b. How many different license plates can be made in which no letter or number appears more than once?

c. A license plate is chosen at random. What is the probability that no letter or number appears more than once?

Find the capacitance of a parallel plate capacitor if the area of each plate is 0.1m^2 and the distance between the plates is 0.1 inch. The dielectric is air.

I just have a single question about this differential equation. Use first order of linear differential equation to solve this problem:

2(dy/dx) = 5 - 6y

I know the equation is (dy/dx) + P(x) y = Q(x) so my question is what do I do with the 2 that's in 2(dy/dx)? So far I did 2(dy/dx) + 6y = 5

How do I solve this differential equation using the first order linear differential equations?

dy + 3ydx = e^(-3x) dx

How do I solve this differential equation using separation of variables?

Am I suppose to plug in the zeros for t and s?

ds/dt = sec(s); t = 0 when s = 0

How to solve this differential equation using separation of variables?

2dy/dx = y(x+1) / x

I need help solving this differential equation using separation of variables:

ydx + xdy = 3xydx

A certain clocked FF has minimum ts = 20 ns and th = 5 ns. How long must the control inputs be stable prior to the active clock transition?

Find the radius of convergence (R), and the convergence interval, for the following power series:

∞

Σ (2^n / n!)(x - 1)^n ; (a = 1)

n=0

So far I've gotten lim(n→∞) (2^(n+1)*((x-1)^(n+1)) / (n+1)!) * (n! / ((2^n)(x-1)^n)). I have no idea what to do after that.

Find the radius of convergence (R), and the convergence interval, for the following power series:

∞

Σ (1/n)x^n

n=0

I tried using the ratio test but can't figure out the radius of convergence

Find A^-1 if A =

[alpha, 0, 0]

[0, beta, 0]

[0, 0 , epsilon]

I've looked online and notes that the answer is:

[1/alpha, 0, 0]

[0, 1/beta, 0]

[0, 0, 1/epsilon]

I want to know why. Examples on youtube and my notes do not explain the steps. All they say is that the inverse is 1 over the element.

If a conductor with a current of 200 mA passing through it converts 40 J of electrical energy into heat in 30 s, what is the potential drop across the conductor?

I just got my Samsung Captivate Galaxy S phone yesterday and I created a Google account so I can download some applications but I can't seem to download anything. Whenever I want to download an application it would only say "starting downloading" for hours and not actually download. Also to add that I'm using Wi-Fi not 3G because I do not want to use my data. Is AT&T's severs down or is it my phone or google account?