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1. A coin is tossed 9 times. How many outcomes are possible? 2. You toss a coin 15 times. In how many outcomes do at most 2 tails occur? 3. A basket contains 28 apples of which 3 are rotten. You choose 10 apples at random from the basket. In how many ways can you choose no rotten apples? Are rotten. You choose 10 apples at random from the basket. In how many ways can you choose 2 rotten apples? Are rotten. You choose 10 apples at random from the basket. In how many ways can you choose at least 1 rotten apple?
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
a mixture of 25 g of salt and 54 g of baking soda is poured into 477 ml of water, what is the total mass of the mixture in grams??
Consider the matrix A of the linear transformation T in two dimensional space that rotates all vectors 45 degrees in the clockwise direction, and then shrinks their horizontal component by a factor of two.
what is the speed of a plane traveling 490 mph with the wind and 390 mph against the wind.
Suppose that X and Y are continuous random variables with joint pdf (probability distribution function). Please give step-by-step process for solving the following problem.
2 baseball players got a total of 352 hits. One had 12 more hits than the other. Find the number of hits for each player.
Find the indicated probability. A study conducted at a certain college shows that 54% of the school's graduates find a job in their chosen field within a year after graduation.
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
Rate related problems and Determine the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest.
The length of a new rectangular playing field is 7 yards longer than tripple the width. If the perimeter of the rectanglar playing field is 464 yards
A plane travels 160 miles on a bearing of N 50° E and then changes its course to N 67° E and travels another 160 miles. Find the total distance traveled north and the total distance traveled east.
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