Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal curve, label the x-values for 1, 2, and 3 standard deviations from the mean, and write in the probabilities between each standard deviation before attempting to answer the questions. The average life-span of a True Test auto battery is 39 months with a standard deviation of 3 months. Assume a normal distribution. 1. We can expect 95% of the batteries to last between 33 V and 45 v months. 2. We can expect 15 x % of the batteries to last less than 30 months. 3. We can expect 16 v % of the batteries to last longer than 42 months. 4. We can expect 49.865 x % of the batteries to last between 30 and 39 months. 5. We can expect 15.865 x % of the batteries to last between 42 and 48 months.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.