Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round to the nearest tenth.

15.

17.

19. ;

Step-by-step explanation:

15. (intersecting chord theorem)

Solve for x

Divide both sides by 8

17. (two secants intersecting theorem)

Solve for c

Subtract 169 from each side

Divide both sides by 13

(nearest tenth)

19. (two secants intersecting theorem)

Solve for x

Subtract 25 from each side

Divide both sides by 5

(nearest tenth)

(tangent and secant theorem)

Solve for y

Take the Square root of both sides

(nearest tenth)

According to the given, 1 in every 10 women has been a victim, therefore the probability of a  victim of domestic abuse at some pint is

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

Where x is the event that shows a victim of domestic abuse at some point.

We need to find the probability of these victim at least 2 has been victim of abuse, so

So the probability is 0.729