Question

students must take an ap sciences exam their senior
year: 25% take ap chemistry, 35% take ap physics,
30% take ap environmental science and the remaining
señiors take ap biology. of those who take ap
chemistry, 45% get accepted to their first-choice college,
compared with 55% who take ap physics, 20% who take
ap environmental science, and 30% who take ap
biology.
use the partially completed tree diagram to fill in the
indicated labels.
label 1 =
label 2 =
label 3 =
label 4 =
label 5 =

Explanation:

Label 1: AP Chemistry

Given that 25% take AP Chemistry.

Label 2: AP Physics

Since 35% take AP Physics.

Label 3: Remaining students

The total percentage for AP Science exams is 100%. The sum of AP Chemistry and AP Physics is \(25\%+ 35\%=60\%\). So the remaining percentage is \(100\% - 60\%=40\%\).

Label 4: AP Environmental Science acceptance rate

30% of the remaining students (who take AP Environmental Science) get accepted. The remaining students are 40%, so the acceptance rate for AP Environmental Science is \(0.3\times40\% = 12\%\)

Label 5: AP Physics acceptance rate

20% of those who take AP Physics get accepted. Since 35% take AP Physics, the acceptance rate for AP Physics is \(0.2\times35\%=7\%\)

Answer:

Label 1 = 25% <br>
Label 2 = 35% <br>
Label 3 = 40% <br>
Label 4 = 12% <br>
Label 5 = 7%