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Mathematics Test 297

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Mathematics Test 297
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  • Question 1
    4 / -1

    The mean and variance of a data set comprising 15 observations are 15 and 5 respectively.

    The new variance of resulting data if one of the observation 15 is deleted and two new observations 6 and 8 are added to the data.

    Solution


     

  • Question 2
    4 / -1

    Solution


     

  • Question 3
    4 / -1

    The means of two samples of size 40 and 50 were found to be 54 and 63 respectively. Their standard deviations were 6 and 9 respectively. The variance of the combined sample of size 90 is

    Solution

     

  • Question 4
    4 / -1

    Let ω (ω ≠ 1) is a cube root of unity, such that (1+ω2)8 = a + bω, where a,b ∈ R,

    |a + b| is equal to

    Solution

     

  • Question 5
    4 / -1

    Solution

     

  • Question 6
    4 / -1

    If x + y = k is normal to y2 = 12x then k is

    Solution

     

  • Question 7
    4 / -1

    Solution

     

  • Question 8
    4 / -1

    Solution

    Step 1. Reconstruct the intended piece-wise definition from the readable fragment and the limits evaluated in the supplied solution.

     

  • Question 9
    4 / -1

    If the tangent at (1,7) to the curve x2 = y − 6 touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is

    Solution

  • Question 10
    4 / -1

    Solution

     

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