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A closed rectangular box having a volume of 7 ft3 is to be constructed. If the material for the sides costs $1.2/ft2 and the material for the top and bottom costs $1.3/ft2, find the dimensions of the box that can be constructed with minimum cost. (Give your answers correct to 2 decimal places.)
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
how many servings of each food are required to satisfy the physicians requirements?
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
The first kernel pops 127 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
the aera of a rectangular wall in a classroom is 126 square feet. it lenght is 3 feet shorter than three times its width. find the length of the wall of the classroom.
A farmer has 80m length of fencing. He wants to use it to form three sides of a rectangular enclosure against an existing fence which provides the fourth side. Find the maximum area that he can enclose and give its dimensions.
Probability of a component failing, A component has a failure rate per hour of 4.5E-3. The failures are governed by the exponential distribution
Find all the subfield of K containing Q.
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Find the length of arc AC if the diameter, AB, of circle O is 24 cm. Write answer in terms of pi.
Let R be the shaded region in the first quadrant enclosed by the graphs of y=e^(-x^2), y= 1-cos x, y-axis.
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