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Question 2 Use truth tables to show the following:
(a) whether ¬p ∧ ¬(p → q) is a tautology, a contradiction or neither.
(b) whether ((p → q) ∧ (p → r)) → (p →) (q ∧ r)) is a tautology, a contradiction or neither.
(c) ¬(¬p ∧ q) and q → p are logically equivalent.
(d) (p → (q → r)) and (q → (p → r)) are logically equivalent.
A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.
jack has 100 football cards that he wants to put in a photo album. each page in the album will hold eight cards.how
Andrew buys a house for $65,000, and the value of the house increases at a rate of 2% per year. How much will the house be worth in 8 years? Round to the nearest dollar.
You have a credit card that is charging you 9.9% + the current prime rate. What is that interest rate on the credit card today?
Matrix of transition probabilities. The daily price of a farm commodity is up, down, or unchanged from the day before. Analysts predict that if the last price was down, there is a .5 probability the next will be down,
A rectangular sheet of tin plate is 20 cm by 16 cm and is to be made into an open box with a base having an area of 140 cm2 , by cutting out equal squares from the four corners and then bending the edges upwards. Find the size of the squares cut o..
Compare cost per square inch of pizza for each pan size offered by a restaurant.
An archer has probability 0.3 of hitting a certain target. What is the probability of hitting the target exactly two times in four attempts?
Explain how to compute the number of functions from a k-element set K onto an n-element set N by using multinomial coefficients.
Compute the centripetal force acting on the body.
what was the percent of sugar in the solution?
Let f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f.
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