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Find the slope of the line passing through the pair of points. (If an answer is undefined, enter UNDEFINED.) (9, -5), (-6, -5)
John is intending to put $10,000 into investment. He picked a fund that grows at 5% per annum. Assuming his profit is compounded annually, how much money would he have from this investment after 5 years and how long would it take for his money to ..
A person walks 18m East and then 32m in a direction of 65 degrees N of E. What is the resultant displacement?
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
A health spa claims that a new exercise program will reduce a person's waist size by 2 centimeters on the average over a 5-day period. The waist sizes of 6 men who participated in this exercise program are recorded before and after the 5-day p..
In a system the input signal x(t) is related to the output signal y(t) by y(t) = -∞∫∞ h(t - τ) x (τ) dτ, for all t, where the function h(t). Determine if the system is causal or not.
Kate scored in the 10th percentile rank on an exam
what is the rank of A?
Vectors as linear combinations of the vectors
Debate if "failing to reject the null" is the same as "accepting the null." Support your position with examples of acceptance or rejection of the null. Next, give your opinion on whether or not a failed t test "proves" the null hypothesis.
Use mathematical induction to prove the statement is true for all positive integers, or show why it is false. 4·6 + 5·7 + 6·8 + ... + 4n(4n+2) = 4(4n+1)(8n+7)/6
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
a couple wants to have two children. what is the probability that a the first or the second is a boy at least one girl
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