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The ellipsoid's equation: x^2 + y^2 - yz + z^2 = 1 is quadratic in z, so can be solved for z explicitly to give the top and bottom halves. Use the quadratic formula to find the these functions.
Using excel I'm trying to create a probability tree showing all marginal, conditional and joint probabilities. Im also trying to develop a joint probability table and determine the probability that an employee selected at random would fail the man..
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
Compute the mean and median and determine the shape of the distribution based on the sample data? Explain your conclusion.
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation
Because the sample size is small, we must verify that reading speed is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown. Are the conditions for testing the hypothesis satisfied?
An equilateral triangle has each side 4x units long. Find its area both by the standard formula, A=(1/2)bh and by Heron's Formula and verify the results are equal.
Create a system of equations that includes one linear equation and one quadratic equation and create a rational equation that has an extraneous solution.
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
A flagpole is tilted at an angle of seven degrees from he horizontal and towards the sun. It casts a shadow of 14 meters when the angle of elevation of the sun is 43 degrees. Find the length of the flagpole.
Two distinct even numbers are selected at random from the first ten even numbers greater than zero.
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