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Eleven pet owners were asked how many pets they had in total. The results are given below. 1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - Two more owners are asked how many pets they have. Including their results the mean goes down to 4 but the mode is unchanged from

1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - n=11mean = 46/11mode= most common so 6after n=13, mean is 413*4=52so 52-46=64 and 2 works1 and 5 not as mode changes3 and 3 not as mode changes

RJ
Answered by Rishi J. Maths tutor
1614 Views

Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.

Disguised quadratic. Let y=x^2So quadratic become y^2-4y-5=0so (y-5)(y+1)=0so y=5 and y=-1so x^2 = 5 or -1cannot be -1 as not real henso x^2=5x=+-sqrt(5)

RJ
Answered by Rishi J. Maths tutor
3464 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2 passes through the origin and has gradient -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

Find equation of line 1 in terms of x. eg y=mx+c - Using gradient and points. Equation of line 2 is just y=-3xSo -3x=mx+c of line 1Find xSub into one equation to find the y point.Done

RJ
Answered by Rishi J. Maths tutor
9697 Views

A ball, dropped vertically, falls d metres in t seconds. d is directly proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How many metres does the ball drop in the next 7 seconds?

d = kt2. 45 = k x 32. 45 = k x 9 (/9). 5 = k.3+7 = 10 seconds total as we are investigating the NEXT 7 seconds. d = kt2. d = 5 x 102. d = 5 x 100d = 500m in 10 ...

EN
Answered by Emily N. Maths tutor
4078 Views

A curve is defined by the parametric equations x = 3^(-t) + 1, y = 2 x 2^(t). Show that dy\dx = -2 x 3^(2t).

Write 3^(t) as an expression involving x : We can rewrite x = 3^(-t) + 1 as x - 1 = 3^(-t) ; equivalently, 3^(t) = (x-1)^(-1). Substitute this expression into y, to write y in terms of x: y = 2 x 3^(t) = ...

MK
Answered by Maleeha K. Maths tutor
3186 Views

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