SAT prep

Front

What is the main finding of the 2015 sea otter survey conducted by the US Geological Survey?

Back

The main finding is somewhat misleading, as it does not clarify that the southern sea otter population trends varied throughout the range.

Front

Given the equations x² + y² = 153 and y = −4x, how do you find the value of x²?

Back

Substituting y = -4x into the first equation gives x² + (-4x)² = 153, which simplifies to 17x² = 153, leading to x² = 9.

Front

What does it mean for two triangles to be similar (∆ABC ~ ∆EDC)?

Back

It means that the corresponding angles are equal and the sides are in proportion.

Front

What is a positive association in the context of exercise and sleep for 16-year-olds?

Back

A positive association indicates that as one variable (exercise) increases, the other variable (sleep) also tends to increase.

Front

What type of evidence is most compelling in supporting a conclusion drawn from survey data?

Back

Direct quotes or data points from the survey that clearly illustrate the relationship being studied.

Front

What is the significance of parallel lines in geometry?

Back

Parallel lines never intersect and have the same slope, which is crucial in proving triangle similarity.

Front

How can you determine if a conclusion is well supported by data?

Back

A conclusion is well supported if it is backed by statistical evidence and aligns with the data collected.

Front

What is the formula for the distance between two points in a coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the importance of random sampling in research?

Back

Random sampling helps ensure that the sample is representative of the population, reducing bias in the results.

Front

What does it mean for a survey to have convincing evidence?

Back

It means that the results are statistically significant and provide strong support for the hypothesis being tested.