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The IQ of adults in a certain large population is normally distributed with mean 100 and standard deviation10. If a person is chosen at random form this group. the probability that the person's IQ is less than 85 or greater than 110 is:
a. 0.7745.
b. 0.9081.
c. 0.2255.
d. 0.0919.
e. none of the above
An integer is called squarefree if it is not divisible by the square of a positive integer greater than 1. Find the number of squarefree positive integers less than 100.
The base of an aquarium with volume V = 325 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
On a road trip, five friends drove at 55 mile per hours to California. On the way home, they took the same route but drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
A force of 7 pounds is required to hold a spring stretched 0.3 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length.
A rectangle is formed from a square by adding 6 m to one side and 3 m to the other side. The area of the rectangle is 238 m squared. Find the dimensions of the original square.
Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen?
The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters .Assuming that the heights are recorded to the nearest half-centimeter,how many of these students would you expect t..
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week
The buyer of women's gloves currently has an average inventory of $20500, with an annual turnover rate of 4.0. Because this rate of stock turn is below the industry average, a 7.82% increase in turnover is sought.
A plane flying with a constant speed of 390 km/h passes over a ground radar station at an altitude of 2 km and climbs at an angle of 30 degrees. At what rate is the distance from the plane to the radar station increasing a minute later? (Round you..
A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the smallest angle between the sides to the nearest tenth of a degree.
suppose we first generate a random variable U from a uniform distribution on the interval(0,1).then we define a transformation x=(1-U)^-1/theta where theta>0. next suppose that x1,x2,x3,...are a random variables having the same distribution x.what..
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