Asurvey asked students whether they have any siblings and pets. the survey data are shown in the relative frequency table. given that a student does not have a sibling, what is the likelihood that he or she has a pet?

The likelihood that he or she has a pet given that a student does not have a sibling is:

Option: D ( 60%)

Step-by-step explanation:

Let A denote the event that a student does not have a sibling.

Let B denote the event that a students has a pet.

Then A∩B denotes the event that the student does not have a sibling but has a pet.

Let P denote the probability of an event.

Then, we are asked to find:

P(B|A)

We know that:

Also from the table we have:

P(A)=0.25

and P(A∩B)=0.15

Hence,

which in percentage is:

Hence, the likelihood is:

60%

each side has a different length.  

step-by-step explanation:

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