Based on the tree diagram below, what is the probability that a student has lice, given that the student tested positive? round your answer to the nearest tenth of a percent.

a. 77.5%

b. 65.3%

c. 85.9%

d. 57.7%

Answer with explanation:

Probability that  the student is suffering from lice the test shows Positive

Probability that  the student is not suffering from lice and the test shows Positive

Abbreviation used

L = Student has lice

N L=Student has no lice

P T=Test shows Positive

Probability that a student has lice, given that the student tested positive

In terms of Percentages Required Probability

                              = 0.8590 × 100

                               = 85.90 %

Option C

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh