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Use quantifiers to express the Statement below.



• Let P(x,y) be the statement. " x loves y" where D for both x and y is the set of all people in the world


• Denote the propositions given in the next slide



- Everyone loves everyone.


- For everyone, everyone loves them.


- Everyone loves someone.


- There is someone who loved by everyone.


- There is someone who loves everyone.


- For everyone, there is someone who loves them.


- There is someone who loves someone


- There is someone who is loved by someone.

given lim(as x approaches a) for ((x^2+bx+4b)/(x-a))= -6, find the values of a and b.


A math teacher believes that a grade 7 student will get a score of not more than 70 in the 100-item diagnostic test administered last week. To test this claim, the scores of 40 students who took the diagnostic test was recorded. The mean of their scores is 87.65 with a standard deviation of 6. Which of the following test statistic should be used?


when 2.7 kg of salt solution is poured into a cylindrical bottle, 200mm in diameter, the liquid level rise by 75mm. calculate the density and specific gravity


Perpetrators of a crime who have been given the maximum sentence of 10 years are believed by a fiscal to have been sentenced to more than 7 years on the average. A random sample of 20 of these crime offenders reveals a mean sentence of 7.6 years with a standard deviation of 2.4 years. Which of the following test statistic should be used?



Let P(x,y) be the statement "student x has taken a class y", where the domain for x consist of all students and y consist of all computer engineering courses/subject at your school .



- Expree each of the quantification in


English sentences.



• ∀x∀yP(x,y)


• ∀x∃yP(x,y)


• ∃x∀yP(x,y)


• ∃x∃yP(x,y)



Use the official life skills curriculum document used in your country to plan life skills teaching and learning activities for Grade 6 learners


President Clinton’s economic plan included all of the following except:

healthcare reform.shifting the tax burden to the wealthy.large cuts to the defense budget.pay cuts for Congress.


If the mean and standard deviation of a continuous random variable that is normally distributed are 28 and 3 respectively using the empirical rule find an interval that contains 95% of the distribution


A small open economy can be described as follows: Y=C+ I + G + NX, Y = 5 000,

G = 1 000, T = 1 000, C = 250 + 0.75(Y - T), I = 1 000 - 50*r, NX = 500 - 500*€, r

=r* = 5 %.

a) Estimate the total national saving, investment, the trade balance and the

equilibrium exchange rate.

b) Estimate the impact on national saving, investment, trade balance and

equilibrium exchange rate, if government increases the purchases of goods

and services by 250?

c) Estimate the change in national saving, investment, trade balance and

equilibrium exchange rate, if the world interest rate increases up to 10 %. (G

= 1 000)


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