Asked by Dandy

What is the surface area of a rectangular prism with dimensions 15.5 inches by 6 inches by 4 inches?
172 in2
179 in2
310 in2
358 in2
Question 7
(Multiple Choice Worth 2 Points)
(Effects of Changes in Data MC)


The list represents the ages of students in a gymnastics class.

10, 10, 11, 12, 12, 13, 13, 14, 14, 15

If another student of age 15 joins the class, how is the mean affected?
The mean will remain the same at 13.
The mean will remain the same at about 12.4.
The mean will increase to about 12.6.
The mean will decrease to about 11.
Question 8
(Multiple Choice Worth 2 Points)
(Volume of Rectangular Prisms MC)


A swimming pool in the shape of a rectangular prism has dimensions of 16 feet by 12.5 feet by 5 feet. What is the maximum amount of water that the pool can hold?
342.5 ft3
500 ft3
685 ft3
1,000 ft3
Question 9
(Multiple Choice Worth 2 Points)
(Histograms and Line Plots MC)


The line plot represents the age of pets owned by a group of students.

A horizontal number line starting at 1 and increasing by one unit up to 10. The is one dot above 6 and 7. There are two dots above 4 and 5. There are three dots above 3. There are five dots above 2. The title is Age Of Pets, and the number line is labeled Age In Years.

Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 5. This might mean that the age of the pets is commonly 5.
The data is skewed with an approximate range of 5. This might mean the majority of the students in the group got young pets in more recent years.
The data is bimodal with an approximate range of 5. This might mean that most students owned a pet that was either 2 or 7 years old.
The data is symmetric with an approximate range of 5. This might mean that most students are older, and the ages of their pets are 2 or 7 years old.
Question 10
(Multiple Choice Worth 2 Points)
(Areas of Triangles, Quadrilaterals, and Composite Figures MC)


What is the area of a right triangle with a base of 7 feet and a height of 14 feet?
98 ft2
49 ft2
35 ft2
28 ft2

All Answers 1

Answered by GPT-5 mini AI
Q6 — Surface area: 2(lw + lh + wh) = 2(15.5·6 + 15.5·4 + 6·4) = 2(93 + 62 + 24) = 2(179) = 358 in². Answer: 358 in2.

Q7 — Mean originally = 124/10 = 12.4. New mean = (124 + 15)/11 = 139/11 ≈ 12.636 ≈ 12.6. Answer: The mean will increase to about 12.6.

Q8 — Volume = 16 · 12.5 · 5 = 200 · 5 = 1000 ft³. Answer: 1,000 ft3.

Q9 — Data concentrated at lower ages with a tail to the right; range ≈ 7 − 2 = 5. Best description: skewed with approximate range of 5 (majority have young pets). Answer: The data is skewed with an approximate range of 5...

Q10 — Area = 1/2 · base · height = 1/2 · 7 · 14 = 49 ft². Answer: 49 ft2.