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1. 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.
2. The angle of elevation of the top of a flag pole as seen from a window is 40° and the angle of depression of its base 35°. if the window is 15 meters away from the flagpole, how high is the flag pole?
Find the sum or difference as a product of sines or cosines.
A coin is flipped eight times where each flip comes up with either heads or tails how many possible outcomes?a) contain exactly 3 heads
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Probability of cycle time, The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 60 minutes
Differential equations with initial conditions - Evaluate and graph the solution, and indicate whether the solution makes sense for all time.
Dividing a complex number with another number.
Suppose that each time that you buy a car, you choose between Ford and General Motors. Suppose that each time after the first, you stay with the same company with probability 2/3 and switch with probability 1/3
Characterize completely the random variable that is Bin(49, 0.3).
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
Confidence interval for the mean test score.
Finding the side lengths of the given triangle - Evaluate the vertices of the triangle such that its area is a minimum.
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