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On a windy day a leaf is blown from 5m high central branch tree. As soon as it leaves the branch it is blown at 10ms-1 towards the East until it lands in a river flowing south. The leaf then floats down the river at 3ms-1 FOR 20 seconds until it gets caught on a rock. How far and in what direction from the base of the tree is the rock?
A 17 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 1 textrm{ft/sec}.
A small company has 10 employees that receive a monthly paycheck and you calculate the mean and standard deviation for the paychecks in December. For the holiday, the president decides to give everyone a $500 raise. How would the mean and standard..
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
The doctor's claim was factual
in a card game a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a win. if a
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
6Na + Fe2O3 → 3Na2O + 2Fe In the reaction, 138 g of Na react with 160 g of Fe2O3 to produce 186 g of Na2 and Fe. How many grams of Fe are produced?
Construct a truth table for given relation - Construct a truth table for each of the following
what is the probability that all will make a purchase and evaluate the probability that a light bulb will burn out in less than 1000 hours.
For each of the eight DES S-boxes, compute the bias of the random variable X2 ⊕ Y1 ⊕ Y2 ⊕ Y3 ⊕ Y4. (Note that the DES S-boxes map 6-bit input to 4-bit output and are therefore not invertible. But this should not concern you here.)
Prove that the set of all onto mapping from A to A is closed under composition of mappings. Prove that the set of all one-to-one mappings from A to A is closed under mapping composition.
What is the angular velocity in radians per minute at the center of the propeller?
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