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The lengths of Atlantic croaker fishes are normally distributed , with a mean of 9 inches and a standard deviation of 2.56 inches . An Atlantic croaker fish is randomly selected.
a. find the probability that the length of the fish is less than 8 inches.
b. Find the probability that the length of the fish is between 8 and 12 inches
Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
a bag of sand originally weighing 144 pounds was lifted at a constant rate. the sand was half gone by the time the bag had been lifted 18 feet. How much work was done lifting the sand this far?
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck one year are defective. It has contacted the owners of these vehicles and asked them to return their trucks to the dealer to ch..
The number of staff personnel needed to handle patients at a medical center is determined by the mean time that patients must wait before being attended to by a physician. For a random sample of 100 previously recorded emergencies, the sample mean..
A loan of $9,800 is to be repaid with monthly payments for 12 years at 3.2% interest compounded monthly. Calculate the monthly payment.
Deluxe coffee costs $6 per pound and regular coffee $5 per pound. How many pounds of each kind of coffee should be used to minimize costs?
building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the di..
the distance on the map between tallahassee and miami is 5.5 centimeter. how many kilometers are represented by this distance on the map?
what is the volume of the largest rectangular parallelepiped which can be inscribed in the ellipsoid x^2/9 + y^2/16 + z^2/36 = 1?
Find the area of a trapezoid with a height of 8 m and bases of 14 m and 19 m.
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