Response:
Alan's survey aims to determine the art preferences among students at the local high school.
To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.
Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.
This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.
Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.
Answer:
Yes, the cost
in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as: 
Step-by-step explanation:
1. If
varies directly with
, it can be represented as:

Here,
represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that
and
, we have:

3. Thus, the equation becomes:

4. Now, we need to verify proportionality. Substituting
, which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

5. They are indeed directly proportional.
Answer:
Step-by-step explanation:
For question 1, the result is calculated by dividing the percentage of students in the sports club by the SAT average, while for question 2, the answer is no since the definitions yield contrary outcomes.
Answer:
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
Step-by-step breakdown:
Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.
50ft³ = volume
0.5ft³/min = flow rate
It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.
Time = volume / rate
Time = 50 ft³ / 0.5 ft³/min
Time = 50 / 0.5 min
Time = 100 min
The main aspects are
50ft³ = volume
0.5ft³/min = filling rate
Time= 100 minutes
Greetings!
Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.
I hope this helps!
<span>Best of luck:) </span>
<span>- Hannah ❤</span>