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A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 31 hours, 50 mg of the substance remains. How many milligrams will remain after 51 hours? (Round your answer to two decimal places.)
Show that the area under the curve is infinite. Show that the volume of the solid of revolution enclosed by the curve is finite, and compute it. [This solid of revolution is known as Gabriel's Horn.]
He then samples 10 farms in Greene County and determines the average size of a farm is 199 acres with a standard deviation of 12 acres. A hypothesis test was conducted at the 5% level of significance.
A poster is to contain 384 cm^2 of printed material. The top and bottom of the page are to have margins of 6cm and the sides are to have margins of 4cm each. what are the overall dimensions of the poster of least area?
Flip a penny 100 times, with 49 tosses landing heads up. What percentage of the pennies landed heads up and tails up? The percentage of the pennies that landed heads up is? The percentage of the pennies that landed tails up is?
Write a Matlab program to: 1)Using the classical Monte-Carlo method, estimate the value of the following integral: I = ∫01 x(1-x)3 dx Also, estimate the variance, V (I), of this estimator. Plot both the estimates as functions
Obtain the matrix scatterplot (Graph Matrix plot) for all the continuous variables. Also, compute all pairwise correlations. Which variables seem to be related? Do the correlation values fully reect the extent of relationship between the variables..
Calculate the value of interference for this interval.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
The interest rate is 5.25%. Earnings will compound daily. How much does Alex have in the bank today that allows him to pull $25,000 out for 10 years.
A principal of $1800 is borrowed over 9 months. The future value is $1910. Determine the loan simple interest rate to the tenth of a percent?
Identify the slope and y intercept of the equation.
If two balls are drawn, without replacement, what is the probability of getting a red ball on the first draw and a white ball on the second?
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