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A gun has a muzzle speed of 90 meters per second. Find two angles of elevation that should be used to hit an object 160 meters away? Neglect air resistance and use g = 9.8, textrm{m}/textrm{sec}^{2} as the acceleration of gravity.
A poll of 60 students found that 37% were in favor of raising tution to build a new math building. The standard deviation of this poll is 5%. What would be the standard deviation if the sample size were increased from 60 to 253?
Use the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
In R2, let triangle ABC be a right triangle with right angle at angle C. Consider the altitude CH (it meets AB perpendicularly). Prove that |CH|^2 = |AH| * |BH|.
Six people are going to travel to Mexico City by car. There are six seats available in the car. In how many different ways can the six people be seated in the car if only three of them can drive?
Her research indicates that she could earn 45% in one year if the cure is successful or lose 63% in one year if it is not. At what probability of success (P) would the pharmaceuticals stock be the better choice?
Let A and B be sets. Show that A x B and B x A have equal cardinality by constructing an explicit bijection between the two sets. Then use the following proposition to prove that multiplication is commutative. (Let n, m be natural numbers. Then nx..
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
From the top of a building 70 meters high, the angles of depression of two objects that are directly east of the observation position are 38° and 25° respectively. find the distance between the objects.
A plane is heading due east and climbing at the rate of 120 km/hr. If its airspeed is 530 km/hr and there is a wind blowing 120 km/hr to the northwest, what is the ground speed of the plane?
Five schoolchildren are weighed in pairs. The readings (in kilograms) are: 58,60,61,64,64,65,67,68,70 and 71. Find the weights of individual children.
In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
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