The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A prime B prime C prime are shown.

A is at negative 6, 10. B is at negative 7, 7. C is at negative 4, 6. A prime is at 2, 7. B prime is at 1, 4. C prime is at 4, 3. Which of the following completes the rule for this translation, (x, y) → (x + 8, ___)? (5 points) Select one: a. y − 8 b. y − 3 c. y + 8 Incorrect d. y + 3

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?