To get to the dance competition finals, a dancer must average at least 8.5 points on their 4 preliminary dances. The scores for Jodi’s first 3 dances were: 8.9 points, 7.1 points and 9.2 points. What is the lowest score that Jodi can get on the last dance and still make the finals?
Show all your work AND justify your steps. You will not receive credit unless you justify the steps. Make sure to answer the question. Note: Judges scores range from 0 to 10 and include the tenths place (like 7.5).

1c-2 m405 what values are needed to make each expression a perfect square trinomial? 32 + 2x+ 2-20x + 22+5x+

Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?