Question

16 multiple choice 7 points latawn plans on taking college algebra with mr. hutchens. use the following table to determine the empirical probability that she will receive a grade of b. (answers rounded to the nearest hundredth.)

grade	number of students
b	176
c	263
d	54
f	86
incomplete	5

options: 0.28, 3.55, 0.72, 0.50

Explanation:

Step1: Calculate total number of students

First, we sum up the number of students in each grade. So we add \(41 + 176 + 263 + 54 + 86 + 5\).
\(41+176 = 217\); \(217+263 = 480\); \(480+54 = 534\); \(534+86 = 620\); \(620 + 5=625\). So total number of students \(N = 625\).

Step2: Calculate empirical probability for grade B

The number of students with grade B is \(n = 176\). The empirical probability \(P\) is given by the formula \(P=\frac{n}{N}\). Substituting \(n = 176\) and \(N=625\), we get \(P=\frac{176}{625}\). Calculating this, \(\frac{176}{625}=0.2816\approx0.28\) (rounded to the nearest hundredth? Wait, the options have 0.28, 3.55, 0.72, 0.50. Wait, maybe I miscalculated total? Wait let's recalculate total: 41 (A) + 176 (B) = 217; 217 + 263 (C)=480; 480 +54 (D)=534; 534 +86 (F)=620; 620 +5 (Incomplete)=625. Correct. Then 176/625: 176 divided by 625. Let's do 176 ÷ 625. 625 × 0.28 = 175, so 176/625 = 0.2816, which is approximately 0.28.

Answer:

0.28 (corresponding to the option with 0.28, assuming the first option is 0.28 as per the visible options)