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The surface area of a pyramid is 189 cm squared The area of the square base is 49 cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.
In a certain population of people, 20% are blue-eyed and 80% are brown-eyed. Also, 6% of the blue-eyed people are left-handed and 14%of the brown-eyed people are left-handed.
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
Probability: Birthdays on the Same Day, Determine the number of people needed to ensure that the probability at least two of them have the same day of the year as their birthday is at least 70 percent
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.)
A woman deposits $50,000 in a savings account with 4% continuously compounded interest. How many years must she wait until the balance has doubled? Use the Compounding continuously formula and show the steps involved in getting the solution.
These probabilities represent the probability of one container out of the total sample having the specified characteristics. Half the containers are filled on machine I and the other half are filled on machine II.
Explain how you would use probability, statistics and geometry in the computer forensics field, give one example of each to illustrate the concept.
Simplify the following expression as much as possible: Assume that all variables represent positive real numbers.
Before noon he averaged 60 miles per hour, and after noon he averaged 50 miles per hour. At what time did he begin his trip and when did he end it?
a 5 year projection of population trends suggest that t years from now, the population of a certain community will be P(t)=-t3+9t2+48t+200.
How much revenue was earned in each of the three categories of books?
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