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Suppose the mileages of the cars in a randomly selected parking lot follow the normal distribution. 1,000 cars in the parking lot are surveyed and the average or mean mileage is 30,000 on those cars. If the standard deviation is 5,000, how many cars would fall in the range of mileage of 25,000 to 35,000 approximately? (use 68% for the 1 SD coverage and 96% for 2 SD)
From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports.
In scholarship interviews, a famous question asked is: How many trees are there in the world? Simply reporting an answer will not be credited: you must give a detailed solution supporting your answer.
a kcicker is setting up for a field goal. he goal is 120 feed away and 100 feet high. the kicker can give a initial speed of 75ft/s to the ball. what range of angles of elevation are possibale to kick the ball so it passes over the goal(no air res..
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
At East Zone University there are 627 students taking College Algebra or Calculus. 417 are taking College Algebra, 261 are taking Calculus,and 51 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
closed box with a square base has to have a volume of 3000 cubic inches. Find a function for the surface area of the box.
A drop of oil measuring 0.23 cubic centimeter is spilled onto a lake. The oil spreads out into a circular shape having a diameter of 20 cm. approximate the thickness of the film. Using scientic notation rounding to the nearest hundredth.
For each of the following pairs of ordered bases B and B' for P(R), find the change of coordinate matrix that changes B'-coordinates into B-coordinates.
Using the method of separation of variables, solve the partial differential equation u subscript(tt)+2(pi)u subscript(t)-u subscript(xx)=-3sin(3(pi)x) for 0 less than or equal to x less than or equal to 1 with boundary conditions
A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume of water in the bowl.
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
an open box is to be constructed from a square piece of metal by removing a square of side 3 inches form each corner and turning up the edges. if the box is to hold 108 cubic inches, what should be the dimensions of the metal.
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