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Two nonzero vectors a and b are called perpendicular or orthogonal if the angle between them is Blank 1. Fill in the blank, read surrounding text.


and a⋅ b= Blank 2. Fill in the blank, read surrounding text.


.





Question 1 of 12 7 Points



What follows is a calculated question with 14 blanks.



If a=⟨ 4,7,8 ⟩ and b=⟨ 5,10,2⟩ then:




|a|= Blank 15. Calculate the answer by read surrounding text.




|b|= Blank 16. Calculate the answer by read surrounding text.




a⋅b= Blank 17. Calculate the answer by read surrounding text.




a×b=⟨ Blank 18. Calculate the answer by read surrounding text.



, Blank 19. Calculate the answer by read surrounding text.



, Blank 20. Calculate the answer by read surrounding text.






b×a=⟨ Blank 21. Calculate the answer by read surrounding text.



, Blank 22. Calculate the answer by read surrounding text.



, Blank 23. Calculate the answer by read surrounding text.






a×a=⟨ Blank 24. Calculate the answer by read surrounding text.



, Blank 25. Calculate the answer by read surrounding text.



, Blank 26. Calculate the answer by read surrounding text.






The angle between a and b is Blank 27. Calculate the answer by read surrounding text.



Write the negation in English.

a. There is a student s such that for all courses x, s like x


Question #307309


48, 48.3, 48.5, 49.5, 48, 49, 49.4, 49, 48.5, 49.9, 48, 48, 48.4, 49.7, 49, 36, 37.8, 38, 39.8, 39, 39.2, 40.1, 41, 41, 40, 41, 42, 40.2, 41.7, 41, 41.8, 43.7, 43, 42.4, 43.1, 42, 42.8, 43.9, 41.8, 43.2, 42, 43, 43, 43.1, 42, 43, 44, 44, 44, 44, 45, 44.2, 44.4, 45.5, 45.6, 45.9, 45, 45, 44, 45, 44, 45, 45, 44.8, 44.2, 44.9, 47.2, 46, 47, 47.9 ,47, 46, 47, 46.3, 46.2, 47.7, 47.9, 47, 47, 46, 47, 46, 47, 47.6, 46, 51, 50.6, 51, 50.7, 51.2, 50.2, 50.2, 51.3, 51.1, 51, 52.5, 52.4, 53, 52, 54, 55.9, 55.



i. Clearly showing all steps, present the above data on an inclusive frequency distribution table using ten classes.



ii. Determine the percentage discrepancy in the weight of the maize bags if there is any.



iii. Determine if there is any type of imbalance in the weight of the maize measured.



iv. Determine if there is any type of imbalance in the weight of the maize measured compared to the recommended 48 kilograms and comment.




In the year 1918 a flu like disease occurred in Spain and spread to the rest of the world. This year 2020 another similar flu like disease has occurred in china and is spreading in the whole world. Researchers have found that the likelihood of the disease occurring again is 0.01.Determine the average number of flus in the next 300 years and the likelihood that in the next 300 years, the disease will occur at most five times. (6 marks)



On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty. (4 marks)



In the year 1918 a flu like disease occurred in Spain and spread to the rest of the world. This year 2020 another similar flu like disease has occurred in china and is spreading in the whole world. Researchers have found that the likelihood of the disease occurring again is 0.01.Determine the average number of flus in the next 300 years and the likelihood that in the next 300 years, the disease will occur at most five times. (6 marks)





On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty. (4 marks)





Hello can you be able to solve for me above question

y=ax²+bx-c ,make a the subject of the formula

Q4. Convert the following linear programming problem into dual


problem.


Maximise


Z = 22x1 + 25x2 +19x3


Subject to:


18x1 + 26x2 + 22x3 ≤ 350


14x1 + 18x2 + 20x3 ≥180


17x1 + 19x2 + 18x3 = 205


x1, x2, x3 ≥ 0



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