Of all yoga students in a particular area 20% study with patrick and 80% study with carl. we also know that 8% of the students that study with patrick are female, while 66% of the students that study with carl are female. what is the probability that a randomly selected yoga student is female, given that the student studied yoga with carl?

82.5%

Step-by-step explanation:

We are given that the percentage of yoga students study with Carl = 80%

Then probability of students study with Carl = 0.80

Similarly, the probability of yoga students that are female and studied yoga with Carl = 66%=0.66

Now, the probability that a randomly selected yoga student is female, given that the student studied yoga with Carl is given by :-

step-by-step explanation:

compare

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.