Match the statements defined below with the letters labeling their equivalent expressions. 1. |x-5| \leq 10
2. |x-5| \lt 10
3. |x-5| \geq 10
4. |x-5| \lt \infty
5. |x-5|
A. x € (-0,–8] U [12,0)
B. x E{-8,12}
C. x € (-8, 12)
D. x € (-[infinity], -8) U (12, 0)
E. 2 € (-8,12]

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3

Adele is five years older than timothy. in three years, timothy will be 2/3 of adele’s age. what is adele‘s current age?