A mathematical way to use probabilities to determine what to expect in various situations over the long run is called value. The standard way to find this value is to multiply each possible outcome by its , and then these products.

The line y = x + passes through (−3, 7) and is parallel to y = 4x − 1.

Both the red and blue line segments stretch from the center of the circle to a point on the circle. the length of the blue segment is 5. how long is the red line segment?

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.