The daily water consumption for an Ohio community is normally distributed with a mean consumption of 850,125 gallons and a standard deviation of 64,190 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 934,672 gallons. What is the probability of experiencing such a drop in water pressure?

Acoin bank containing only dimes and quarters has 12 more dimes than quarters. the total value of the coins is $11. how many quarters and dimes are in the coin bank?

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

32a³b² 8ab² simplify the following expression.