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Solve the given problems below:
Problem 1.
An object weighs 74.5 N in air. When it is suspended from a force scale and completely immersed in water the scale reads 23.6 N. Determine the density of the object.When the object is immersed in oil, the force scale reads 39.2 N. Calculate the density of the oil.
Problem 2.
Jupiter subtends an angle of 1.67 x10-4 rad when viewed by the unaided eye and 3.21 x 10-2 rad when viewed through an astronomical telescope that has a 0.031m focal length eyepiece. Determine the focal length of the telescope's objective lens.
Suppose that you are dealt a 7-card hand from a deck of Pinochle cards. What is the probability that you are dealt at most 2 clubs
The weights of full-grown adult female okapis are normally distributed with a mean of 500 pounds and a standard deviation of 30 pounds. What is the probability that
Find the equations of the indicated tangent or normal lines.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters
Kenya is reserving a room in a hotel in France where they use euros (€). The room charge is €75. Suppose the conversion rate is €1 = $1.298. What is the cost of the room in dollars?
Provide one business-related example each, with explanation, for mutually exclusive and independent events.
Consumers are spending 80% of their incomes to buy goods and services. Now, the level of investment increases by $8.2 billion. What will this do to the level of aggregate income in the economy?
a farmer packed 37 pumpkins.each pumpkin had a weight of about 48 ounces.he put them into three baskets. the weight of
During the first part of a trip a canoeist travels 62 miles at a certain speed. The canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hrs. What was the speed on each part of the trip..
find the amount by which the utility company will have to increase its generating capacity in order to meet the needs of the area at the end of the decade. (Round your answer to two decimal places.)
geometry is a very broad field of mathematics composed of a wide range of tools that can be used for problem solving.
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