spiral review #10\n1. students in ms. aguirre...
spiral review #10\n1. students in ms. aguirres class took a quiz last week. the dot - plot shows the number of questions each student answered correctly.\nnumber of student correct answers\ndot - plot with values 6, 7, 8, 9, 10, 11, 12, 13, 14 and dots above them\nnumber of correct answers\nwhich statement is true based on the information in the dot - plot?\na. the range of correct answers is 11.\nb. seven students answered more than 10 questions correctly.\nc. nine students answered less than 10 questions correctly.\nd. the most frequent number (mode) of correct answers is 10.\n2. a rectangular garden has a length of 12\\frac{1}{2} feet and a width of 8 feet. the area of the garden can be determined using the expression: 12\\frac{1}{2}\\cdot8\nwhat is the area of the garden?\na. 20\\frac{1}{2} square feet\nb. 96 square feet\nc. 100 square feet\nd. 200 square feet\n3. in the city of denton, the total rainfall for the month of august was 3.8 inches. for the month of september, the total rainfall was 2.4 times the amount of rainfall in august. how many inches of rain fell in september?\na. 7.2 in\nb. 9.12 in\nc. 1.4 in\nd. 0.80 in\n4. greta has finished reading 15 pages from a 20 - page magazine article. which decimal represents the fraction of the 20 pages greta read?\na. 0.15\nb. 0.35\nc. 0.75\nd. 1.33
Answer
### 1. Analyze the dot - plot problem
# Explanation:
## Step1: Calculate the range
Range = Maximum value - Minimum value. From the dot - plot, the maximum number of correct answers is 14 and the minimum is 4. Range = 14 - 4=10, so option A is incorrect.
## Step2: Count students who answered more than 10 questions correctly
Count the dots for 11, 12, 13, and 14 correct answers. There are 3 + 4+2 + 1=10 students who answered more than 10 questions correctly, so option B is incorrect.
## Step3: Count students who answered less than 10 questions correctly
Count the dots for 4, 5, 6, 7, 8, and 9 correct answers. There are 1+2 + 2+3 + 2+3 = 13 students who answered less than 10 questions correctly, so option C is incorrect.
## Step4: Find the mode
The mode is the most frequently occurring value. The value 10 has the most dots (4 dots), so the mode is 10. Option D is correct.
### 2. Calculate the area of the rectangular garden
# Explanation:
## Step1: Convert the mixed - number to an improper fraction
$12\frac{1}{2}=\frac{12\times2 + 1}{2}=\frac{25}{2}$
## Step2: Multiply by 8
$\frac{25}{2}\times8=\frac{25\times8}{2}=100$ square feet. The answer is C.
### 3. Calculate the rainfall in September
# Explanation:
## Step1: Multiply the August rainfall by 2.4
$3.8\times2.4=(4 - 0.2)\times2.4=4\times2.4-0.2\times2.4=9.6 - 0.48 = 9.12$ inches. The answer is B.
### 4. Calculate the fraction of pages read as a decimal
# Explanation:
## Step1: Write the fraction
The fraction of pages read is $\frac{15}{20}$.
## Step2: Simplify the fraction and convert to a decimal
$\frac{15}{20}=\frac{3}{4}=0.75$. The answer is C.
# Answer:
1. D. The most frequent number (mode) of correct answers is 10.
2. C. 100 square feet
3. B. 9.12 in
4. C. 0.75