If the marginal propensity to consume is 0.9, the tax rate 0.35, and the propensity to import 0.2, then the value of the multiplier is (to 3 decimal places):

We have a simple harmonic motion that is described by the equation: ? (?) = 0.82cos (0.4? + 0.2) Determine the equation of v (t) and a (t).

Find fraction equivalents for the following decimals.

A. 0.8 (repeating .8)

B. 3.08 (repeating .08)

C. 3.08 (repeating just the 8)

D. 0.75 (repeating)

E. 0.328 (repeating)

Assume you have a somewhat idealized J-band system with spectral response of 0.8 from 1.15 through 1.35 mm and zero outside this range.

What is the effective (mean) wavelength?

The random variable X ~ B(5, 0.8). Find the following using a Ti-83/84
a. Mean
b. Standard Deviation
c. P(3)
d. P(x > 3)

calculate the ph of a solution when 15ml of 0.5M naoh is added to 30ml of a 0.8 M benzoic acid (Benzoic acid is a monoprotic acid and has a ka of 6.5 x 10^-5

Calculate the pH for the titration of 40 mL of 0.5 M C5H5N with 0.2 M HCl at:a) 0 mL of titrant b) 5 mL before equivalence c) at equivalence d) 5 mL past equivalence

Kb for C5H5N = 1.7 X 10^-9

Calculate the pH for the titration of 40 mL of 0.5 M C5H5N with 0.2 M HCl at:a) 0 mL of titrant b) 5 mL before equivalence c) at equivalence d) 5 mL past equivalence

Kb for C5H5N = 1.7 X 10^-9

A hydroelectric with 0.2 m radius coils has permanent magnets that immerse the coils in a magnetic field of 0.5 T. If the maximum torque that the turbines can produce is 750 Nm and it is sought to generate a maximum voltage of V = (1414.3 V) sin (wt) at an average rms power of 2x10 ^ 4 W. a) What maximum current the turbine should generate, b) how many turns should the coil have, c) what radius should the coil cable have? d) if it is to be transported at 50 kvrms, how many turns should the secondary inductor of the transformer have for each turn of the primary?

4) A) In a timeshare computer system, the number of teleport requests is 0.2 per millisecond, on average, and follows a Poisson distribution. So the probability that they won't come requests for the next three milliseconds is:

B) Certain resistors are manufactured with a tolerance of ± 10%. If we consider that the real resistance is evenly distributed within this interval, the probability that a resistance with value rated at 1000 Ω have an actual resistance between 990 and 1010 Ω is:

C) The asking price for a certain item is normally distributed with an average of $ 50.00 and deviation standard $ 5.00. Buyers are willing to pay an amount that is also distributed normally with a mean of $ 45.00 and standard deviation of $ 2.50. The probability that the transaction is made is: