Unit 5 Assessment

Front

What is the center of the circle in the equation (x+2)²+(y-3)²=4?

Back

The center of the circle is at (-2, 3).

Front

What is the best data collection technique for studying the effect of a car flipping in an accident on an unbuckled passenger?

Back

The best data collection technique is Simulation.

Front

What is the best data collection technique for determining the percentage of college students who will speak up against racism on campus?

Back

The best data collection technique is Observation.

Front

Find the center and radius of the circle: x² + y² + 14x - 2y = -1.

Back

Center = (-7, 1), Radius = 7.

Front

What type of sample is necessary to obtain valid results in research?

Back

A sample must be unbiased.

Front

What is the standard form of a circle's equation?

Back

(x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

Front

How do you find the radius of a circle from its equation?

Back

Rearrange the equation to standard form and identify r from (x-h)² + (y-k)² = r².

Front

What does it mean for a sample to be biased?

Back

A biased sample does not accurately represent the population, leading to skewed results.

Front

What is the purpose of using simulations in research?

Back

Simulations allow researchers to model real-world scenarios and predict outcomes without real-world experimentation.

Front

What is the difference between observation and experimentation in research?

Back

Observation involves watching subjects in their natural environment, while experimentation involves manipulating variables to test hypotheses.