Sheila either walks to school or cycles, the probability that she walks it 0.65. if she walks, the probability that shell be iate is 0.4 if she cycles the probability that shell be late is 0.1 work out the probability that on any one day, sheila will not be late for school.

0.705

Step-by-step explanation

Probability she walks and is  not late = 0.65 * 0.60 = 0.39.

Probability she cycles and is not late =  0.35*0.9 = 0.315

Therefore P(not late) =  0.39 + 0.315 = 0.705 Answer

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)