Questions 81–88 of 88. Imported answers require independent review unless marked reviewed.

Topic practice 88 questionsPage 9 of 9

Question 43

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If

, then,

(up to two decimal places)


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Question 6

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is ________________ .

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Question 16

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For y = f(x), if

,

at x = 0, and y = 1 at x =1, the value of y at x = 2 is ________.

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Question 27

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The distribution of marks scored by a large class in an exam can be represented as a normal distribution with mean μ and standard deviation σ. In a follow-up exam in the same class, everyone scored 5 marks more than their respective score in the earlier exam. For this follow-up exam, the distribution of marks can be represented as a normal distribution with mean μ₂ and standard deviation σ₂. Which one of the following is correct?
Your answerChoose one option.

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Question 28

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The angle (in degrees) between the vectors

and

is _________.

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Question 33

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Consider an infinite number of cylinders. The first cylinder has a radius of 1 meter and height of 1 meter. The second one has a radius of 0.5 meter and height of 0.5 meter. Every subsequent cylinder has half the radius and half the height of the preceding cylinder. The sum of the volumes (in cubic meters) of these infinite number of cylinders is ________.
Given data: π = 3.14.

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Question 37

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The value of c for which the following system of linear equations has an infinite number of solutions is ________.

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Question 47

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For the probability density

, the integral

________.

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