You take a bus from your neighborhood to your school. The express bus arrives at your neighborhood at a random time between 7:30 and 7:36 a. m. The local bus arrives at your neighborhood at a random time between 7:30 and 7:40 a. m. You arrive at the bus stop at 7:33 a. m. Find the probability that you missed both the express bus and the local bus. Express your answer as a fraction in simplest form.

probability that you missed both the express bus and the local bus.

Step-by-step explanation:

Uniform distribution:

An uniform distribution has two bounds, a and b.

The probability of getting a value lower than x is:

The express bus arrives at your neighborhood at a random time between 7:30 and 7:36 a.m.

6 minutes, so

You arrive at 7:33, so if x < 3, you lose the express bus:

The local bus arrives at your neighborhood at a random time between 7:30 and 7:40 a.m.

10 minutes, so

Find the probability that you missed both the express bus and the local bus.

probability that you missed both the express bus and the local bus.

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.