Math Answers

Two balls are drawn in succession without replacement from an urn containing 9 yellow balls and 6 green balls. Let X

X be the random variable representing the number of yellow balls.

Question: How many possible outcomes are there in this experiment?

The number of cars sold per day at a local car dealership, along with its corresponding probabilities, is shown in the table. Compute for the mean, variance, and standard deviation of the probability distribution of the random variable X. 

1)     How do drivers react to sudden large increases in the price of gasoline? To help answer the question, a statistician recorded the speed of cars as they passed a large service station. He recorded the speeds (mph) in the same location after the service station showed that the price of gasoline had risen by 15 cents. Can we conclude that the speeds differ?

Determine the area under the standard normal distribution curve between z=1.15 and z=-1.85

The perimeter of a rectangle whose length is twice the width

Show that (p → q) ∧ (p → r) and p → (q ∧ r) are logically equivalent using

logical equivalence laws.

(y - xy)dx + xdy = 0

Find the angle between the vectors √2i + 2j + 2k and i + √2j + √2k.

A piece of wire 36cm long is cut into two, one part being bent in the shape of an equilateral triangle and the other in the form of circle. Find the lengths of these two pieces of wire if the sum of the areas of these two figures is to be minimum.

Postal regulations require that a parcel post package be no greater than 3m in the sum of its length and perimeter of its cross-section (girth). What is the volume in cubic meter 9f the largest package allowed by the postal regulations if the package is to be rectangular in shape and has square ends?