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Let C(x) be the statement “x can play chess,” let D(x) be the statement “x can play table tennis. Express each of following statements in terms of C(x), D(x), quantifiers, and logical connectives.
Let the domain consist of all students in your class.
i) A student in your team can play chess but do not know how to play table tennis.
ii) All students in your team can play chess.
iii) Some students in your team can not play table tennis.
iv) No student in your team can play table tennis or chess.
I. Show that the set ] -6,8[∩]-8,4[ is a neighborhood of -5.
Ii. Check whether the interval [7,10[ and ]3,6] are equivalent or not
A sample of 390 senior high school students applied to different state universities, wherein 117 are female. Find the 99% confidence interval of the true population proportion who applies for different state universities
{1,-1,2,-2} is a compact set. True or false with full explanation
A school principal claims that grade 11 students have a mean grade of 86 with a standard deviation of 4. suppose that the distribution is approximately normal. What is the probability that a random selected grade will be less than 84?
True or false with full explanation
i. Every continuous function is differentiable.
ii. Every integrable function is monotonic
A. If (an) is convergent then ∞Σ n=1 an is also convergent true or false with full explanation.
B. The sum of two discontinuous function is always discontinuous function.
True or false with full explanation
Based on a study, the average typing speed of women is normally distributed. Karen verified the results by conducting a similar study and found out that the standard error of the sample mean is 9 words per minute using a sample with a variance of 1 215. Determine the variance of the sampling distribution
Based on a study, the average typing speed of women is normally distributed. Karen verified the results by conducting a similar study and found out that the standard error of the sample mean is 9 words per minute using a sample with a variance of 1 215. Determine the sample size she used
A population consists of six values: 1, 3, 5, 7, 8 and 9. Determine the number of samples
