select the correct answer.\na soccer team wins 65% of its matches, and 15% of its matches end in a draw. if…

select the correct answer.\na soccer team wins 65% of its matches, and 15% of its matches end in a draw. if the team is scheduled to play 20 matches, about how many matches is it expected to lose?\na. 13\nb. 4\nc. 8\nd. 1

select the correct answer.\na soccer team wins 65% of its matches, and 15% of its matches end in a draw. if the team is scheduled to play 20 matches, about how many matches is it expected to lose?\na. 13\nb. 4\nc. 8\nd. 1

Answer

Explanation:

Step1: Calculate the percentage of lost matches

The sum of all match outcomes is 100%. Given that the team wins 65% and draws 15% of its matches, the percentage of lost matches is (100%-(65% + 15%)=20%).

Step2: Calculate the number of lost matches

If the team plays (n = 20) matches, and the percentage of lost matches is (p=20%=\frac{20}{100}=0.2), then the number of lost matches (L) is calculated by (L=n\times p). Substitute (n = 20) and (p=0.2) into the formula: (L=20\times0.2 = 4).

Answer:

B. 4