Question

21 multiple choice 1 point calculate the area of a circular plastic kiddie pool that has a 3 foot radius. round to the nearest tenth of a foot. note area of a circle formula a = πr² a = area π = pi - 3.141592... r = radius 28 square feet 28.3 square feet 19 square feet 28.2 square feet 22 multiple choice 1 point the pie chart below illustrates how ethan divides his free time in a week. ethan’s weekly activities video games other activities ethan spends 1/5 of his time playing video games. what percentage of his time is used for all the remaining activities? 75% 60% 85% 80% 23 multiple choice 1 point calculate the mean, median, and mode for the number of pages read each night by sarah over a week: 45, 50, 40, 55, 60, 45, 50 mean: 50.7, median: 50, mode: 45 mean: 49.3, median: 50, mode: 50 mean: 49.3, median: 50, mode: 45 & 50 mean: 49.3, median: 55, mode: 45

Explanation:

Step1: Calculate area of circle

Use formula $A = \pi r^2$, $r=3$. $A = \pi \times 3^2 = 9\pi \approx 28.2743$

Step2: Round to nearest tenth

$28.2743 \approx 28.3$

Step3: Find remaining time percentage

Video games: $1/5 = 20\%$. Remaining: $100\% - 20\% = 80\%$

Step4: Calculate mean of pages

Sum: $45+50+40+55+60+45+50=345$. Mean: $345/7 \approx 49.3$

Step5: Find median of pages

Sorted data: $40,45,45,50,50,55,60$. Median is 4th value: 50

Step6: Identify mode of pages

45 and 50 each appear twice, others once. Modes: 45 & 50

Answer:

1. B. 28.3 square feet
2. D. 80%
3. C. Mean: 49.3, Median: 50, Mode: 45 & 50