Arepair person is scheduled to be at your apartment between 9: 00am to 12: 00pm but you have to leave at 11: 30 to out a friend. if the repair person is equally likely to be at your apartment any time during the appointment time, what is the probability that you will be there?
a 16.7%
b 50%
c 83.3%
d 91.2%

Option C is the correct answer.

Step-by-step explanation:

Probability is the ratio of number of favorable outcome to total number of outcomes.

Here we need to find probability that  repair person is equally likely to be at your apartment any time during the appointment time.

A repair person is scheduled to be at your apartment between 9:00am to 12:00pm.

Total duration for which repair person available = 3 hours.

You have to leave at 11:30 to help out a friend,

Time you are available at home during this 9:00am to 12:00pm, is 9:00am to 11:30 am

Duration favorable = 11:30 - 9:00 = 2:30 hours = 2.5 hours

Option C is the correct answer.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

b

step-by-step explanation: