Hannahs favorite toy character is sold wearing one of many outfits. an outfit consists of one shirt, one pair of pants, and one cap. the shirt can be striped, plain, or polka dotted. the pants may be denim or plaid . the cap may be a cowboy hat or a baseball cap. if hannah picks a to y at random from the shelf and there are an equal number of toys wearing each outfit, what is the probability that the toy is dressed in a polka dotted shirt and a cowboy hat?

Total number of shirt types available = 3

probability that the toy is dressed in a polka dotted shirt , = 1/3

Total number of cap varities = 2

probabiity that the toy is wearing a cowboy hat = 1/2

Probability that the toy is dressed in a polka dotted shirt and a cowboy hat =

Since, the type of pant is not mentioned. The probability that the toy is wearing any pant is 1. Therefore it need not be taken into consideration.

Option C is correct.

Step-by-step explanation:

The slope of line EF is:

Point E (-2,5) and Point F (1,3)

slope = y₂-y₁/x₂-x₁

slope = 3-5/1-(-2)

slope = -2/1+2

slope = -2/3

Since lines are parallel so, the slope of the line is same i.e. -2/3

Now we need to find y-intercept

y = mx +b

We have point (2,6)

6 = -2/3(2) + b

6 = -4/3 + b

b = 6+4/3

b = 18+4/3

b = 22/3

So, the slope-intercept form will be:

y = -2/3x + 22/3

Hence Option C is correct.