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A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds produced by the process is greater than 0.5 karat. To evaluate the profitability of the process, a sample of six diamonds was generated using this new process, with recorded weights .46, .61, .52, .48, .57, and .54 karat. Do the six measurements present sufficient evidence to indicate that the average weight of the diamonds produced by the new process is in excess of 0.5 karat? To answer this question conduct an appropriate test of hypothesis using the five step process.
The front of the stage is 75 feet from the back wall and is 30 feet from the point where the side walls meet behind the stage. How much area is available for seating in the concert hall?
A condition of the trust is that exactly 3.4 of the fund must be invested in bonds and CDs. How much should the bank invest in each category. Give the system of equations.
The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 212 feet, find the length of the room.
Sam can chose among 3 flavors of ice cream, 2 toppings and 3 types of candy for his ice cream sundae. How many disserent sundaes are possible?
A vertical right cylindrical tank measures 30 ft high and 20 ft in diameter. It is full of kerosene weighing 51.2 lb/ft cubed. How much work does it take to pump the kerosene to the level of the top of the tank?
Consider responding to your classmates by assisting them in solving the problem you created, developing their explanations of the rules of exponents, or describing real-life situations where their examples might exist.
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
question ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he
When the ticket price is 7 dollars the average attendance is 45000. When the price is dropped to 5 dollars then the average attendance rises to 50000. Find the demand function and how should the ticket price be set to maximize revenue?
Three seconds later the pendulum hangs farthest away from the wall (83 cm). Find an equation for the distance the pendulum is from the wall at any time t.
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
show that in the subgroup-intermediate subfield given in the fundamental theorem of galois theory the subfield
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