You estimate that the driving distance from Raleigh, NC to Charlotte, NC is around 180 miles. When you looked it up on the internet, you found that the actual distance is only 167.5 miles. What was the relative (percent) error of your estimate? In other words, how far off were you from the actual value?

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

Step-by-step explanation:

Given that;

Estimated distance  ≅ 180 miles

Actual distance = 167.5 miles

Then,

Estimated distance - Actual distance = 180 - 167.5

                                                             = 12.5 miles

So that,

Relative error = × 100%

                       = × 100%

                       = 0.07463 × 100%

                       = 7.5%

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm