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X is the normally distributed variable with mean = 30 and standard devaition = 4. Find:
The magnitude of earthquakes recorded in the region of North America can be modled as having the exponential distribution with mean 2.4, as measured upon the Richter scale. Determine the probability
Explain how to modify shanks' algorithm to compute the logarithm lies in the interval[s,t].
The parameters of the RLC circuit with input voltage E(t) are R=30 Ohms, L=10H, C=.02F, E(t)=50sin2tV. Determine a formula for the current. Please answer with work.
An electronic device consists of two components. Let X and Y be the length of time until failure (in years) of the first and second component, respectively. Assume that (X;Y) has the probability d
A company manufactures integrated circuits, ICs, using two machines. Call them A and B. Machine A manufactures defective chips with probability of 0.2%. Machine B produces defective chips wi
Prove that the necessary and sufficient condition for a non-negative integer n to be divisible by a positive integer d is n mod = 0.
Prove preferably by induction that 319 divides 2^4n.3^2n+5^2n.7^n for all odd numbers n Prove preferably by induction that 75^n+30^n-5^n-2^n is divisible by 224 if n is even and is divisible by 98 if
Determine the line of intersection of the given planes using gaussian or gauss-Jordan Elimination.
One end of a 10 m long ladder is on the ground and the ladder is supported partway along its length by resting on a top of 3 m high fence. If the bottom of the ladder is 4 m from the base of the fe
Suppose the release point of ball is 52 feet from home plate. What is your prediction of time from when the ball is released till it arrives at home plate. Given the speed of ball 138.28 feet /sec
Determine the first six nonzero terms in a power series expansion about x=0 for the solution to the following initial-valued problem:
From the random sample of 25 trouble calls, the average time service technicians took to respond was 2.10 hours. How strong is the evidence against the companies claim? Based upon these data, the P
Beyond its first return to the equilibrium position, after each and every period of how many seconds does the mass return to the equilibrium position?
Compute the equation of the motion. Beyond its first return to the equilibrium position, after each period of how many seconds does the mass return to the equilibrium position?
An object is launched vertically in the air at 24.5 meters for each second from a 9-meter- tall platform. Using the projectile motion model, determine how long it will take for the objects to reach
You're considering refinancing your mortgage. Your current loan is at the 7% with 14 years left and was negotiated one year ago with $2,000 closing costs. The new loan would be 5.5% for 15 years wi
An investor bought a 6% (coupon rate) bond at 90. Compute the current yield to 2 decimal places?
The bacteria in the certain culture double every 6.5 hours. The culture has 7,500 bacteria at the start. How many bacteria will the culture contain after 4 hours?
If $6,000 is placed in account with annual interest rate of 4%, how long will it take the amount to double if the interest is compounded annualy? Round your answer to two decimal places.
The radioactive element americium-241 has a half-life of 432 years. suppose we start with a 50-g mass of americium-241. How much will be left after 229 years? compute the answer to three significant d
Select the most appropriate measure of central tendency for a specific set of data. Compute the mean, median, and mode from set of data. Discuss the difference between the mean, median, and mode.
Write down an integral which represents the area of the surface generated by revolving the curve about the x-axis.
Write down an integral which represents the arc length of the curve on the given interval. Don't evaluate the integral..
Recall that general solution of the critically damped unforced harmonic oscillator (or mass-spring system) is y(t)=e^(-rt)(k1t+k2) where r, k1 and k2 are constant. Describe that the mass can pass t