Maths - simultaneous equations

knife = £5.52

Step-by-step explanation:

The 2 equations are

k = 3s → (1)

9s + 12k = 82.8 → (2)

Substitute k = 3s into (2)

9s + 12(3s) = 82.8

9s + 36s = 82.8

45s = 82.8 ( divide both sides by 45 )

s = 1.84

Substitute s = 1.84 into (1)

k = 3 × 1.84 = 5.52

The cost of 1 knife is £5.52

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0