Advance Math/ Statistics And Probability/Vectors/DE
Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of radium defomposes to 96 mg. How many mg will be left after 100 years?
92.16
Find the general solution of y' = ysecx.
y = C(secx+tanx)
Find the differential equation whose general solution us y = C1x + C2e^x.
(x-1)y" - xy' + y =0
Find the general solution of y" + 10y' + 41y = 0
y = e^-5x (C1cos4x + C2sin4x)
Which of the following is used as a divisor in the sample variance (s^{2},) where n is the sample size?
n - 1
Of the 80 students in class, 25 are studying German, 15 French and 13 Spanish. 3 are studying German and French; 4 are studying French and Spanish; 2 are studying German and Spanish; and none is studying all 3 languages at the same time. How many students are not studying any of the three languages?
36
In a tank are 100 liters of brine containing 50 kg total of dissolved salt. Pure water is
allowed to run into the tank at the rate of 3 liters per minute. Brine runs out of the tank
at the rate of 2 liters per minute. The instantaneous concentration in the tank is kept
uniform by stirring. How much salt is in the tank at the end of 1 hour?
19.53
The following data represent a sample of 10 scores on a statistics quiz: 16, 16, 16, 16, 16, 18, 18, 20, 20, and 20. The standard deviation of the scores is:
1.838
If the vectors a = 4i -11j + 1k, b = 7i - 2j + 9k and c = 5i - 4k are coplanar, then value of x is:
10
The mode is used in frequently in business applications because it.
to find the true center of numerical data because it is too labor intensive.