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I.) Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function. 

  1. The movie won the Academy Award for the past 2 years.
  2. 1 + 3 = 4
  3. (x+2)2 is a prime number.
  4. man is mortal
  5. not all people are dishonest.

II.) Convert the given argument into four type of nested quantifier.

"Every Math Teacher is like by some students"

(note: you may take different types of approach in your sentences but the thought of the quantifiers must still be there)

 


 the mean monthly Internet bill is $32.79 per household. A sample of 50 households in the Belize District showed a sample mean of $30.63. Use a population standard deviation $5.60.

  

 What is the value of the test statistic? 

c) What is the p-value?

d) At α = .05, what is your conclusion?


A pool ball leaves a 0.60-meter high table with an initial velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball's landing location.


an aqueous solution has 0.0400 g of NaCI (solute) in 2.00 kg H20 (solvent).what is the concentration of solution in parts per million

if 0.650 solution of na2co3 will be use to precipitate ca+2 from solution, determin the amount of solution in grams needed to precipitate 5.00x102ml of 0.01120m ca+?(atomic mass:na=22.99 g/mol;c=12.01g/mol;0=16.00g/mol;ca=40.08g/mol;ans.91.3g

3.3 g of magnesium oxide are produced when 3.0 g of magnesium reacts with 5.0 g of oxygen gas. Calculate the percent yield of magnesium oxide produced.


A sphere of mass 20 kg is attracted by another sphere of mass

30 kg with a force of 4x 10-5 V. What is the distance between the

spheres? Round your answer to the nearest hundredth.


Q.4) If an object starts out at rest and falls a distance of s feet in t seconds, then physical laws imply that s = 16t². Find ∆s/∆t as t changes from t0 to t0 + ∆t.



Use the result to find ∆s/∆t as t changes from:



(a) 3 to 3.5, (b) 3 to 3.2, and (c) 3 to 3.1

The CEO of a battery manufacturing company claimed that their batteries would last an average of 280 hours under normal use. A researcher randomly selected 20 batteries from the production line and tested them. The tested batteries had a mean life span of 250 hours with a standard deviation of 40 hours. Do we have enough evidence to suggest that the claim of an average of 280 hours is false?


The CEO of a battery manufacturing company claimed that their batteries would last an average of 280 hours under normal use. A researcher randomly selected 20 batteries from the production line and tested them. The tested batteries had a mean life span of 250 hours with a standard deviation of 40 hours. Do we have enough evidence to suggest that the claim of an average of 280 hours is false?


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