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What does a 95% confidence interval reflect?

It reflects the set of values for which 95% of a normally distributed sample lies, which tells us with 95% confidence that the mean value lies within this interval. 95% confidence means the likelihood that o...
CP
Answered by Caitlin P. • Maths tutor
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How to sketch a cubic function

Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting the diff...
AP
Answered by Anya P. • Maths tutor
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Given the two curves y1 and y2, verify the two curves intersect at (-5,0) and (2,0)

y 1 = -3x 2 - 9x + 30 , y 2 = x 2 + 3x - 10Equate two curves ( y 1 = y 2 )Obtain following simplified quadratic: x 2 + 3x + 10 = 0Factorise to obtain ( x + 5 ) ( x - 2 ) = 0 and correct x values x = -5 , x =...
JP
Answered by James P. • Maths tutor
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Solve simultaneously x + y = 1, 2x + 3y =9

To solve this problem I would begin by rearranging the first equation to equal X.1) x + y = 1 -> x = 1 - yI would then substitute this into the second equation.2) 2x + 3y = 9 -> 2(1-y) + 3y = 9Then mul...
IC
Answered by Isabel C. • Maths tutor
3817 Views

You are given a sequence of numbers: -2, 12, 32, 58, 90, ... Work out the 7th term in this sequence.

This is a question from Higher Tier and involves 1) realising that 2nd difference is a constant: 6. 2) knowing that constant 2nd difference implies the sequence is quadratic. 3) remembering or proving that c...
MV
Answered by Maxym V. • Maths tutor
5905 Views