Subtract 12x from 84x = 72x
The expression 36x² - 121 is in the 'difference of two squares form' which is (a² - b²)
Factorising (a² - b²) gives (a+b)(a-b)
Factorising 36x² - 121 gives (6x+11)(6x-11)
P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696
Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056
Answer:
x = -3/2 or x = 1
Step-by-step explanation:
Answer:
Perimeter = 101.496 cm
Step-by-step explanation:
draw line from point C that is perpendicular to line AD. Call that point E.
tan 43° = 16.7/ED
0.9325 = 16.7/ED
ED = 17.909 cm
sin 43° = 16.7/CD
0.6820 = 16.7/CD
CD = 24.487 cm
Perimeter = AB + BC + CD + ED + AE
Perimeter = 16.7 + 21.2 + 24.487 + 17.909 + 21.2 = 101.496 cm
