Karen and bill collector coins Karen has x coins but Bill has eight coins fewer than three times the number of coins Karen has to write and simplify an expression for the total numbers of coins Karen and bill have.

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5

Asalad dressing recipe calls for 1 teaspoon of vinegar and three tablespoons of olive oil to only make 1/3 of the recipe for a single portion how much of each ingredient would you need

You are in charge of the customer service phone line with many employees. at the end of each phone callthe customers are asked to rate their service from 1 to 5 stars, with 5 being the best. you find the averagerating for 20 randomly selected employees and decide you want to improve the ratings so you require thoseemployees to go through a new training program. you then wait a week and find the new average rating foreach employee. the average change is an increase in 1.3 stars with a standard devation of .9 stars.(a) is this data paired or not paired? (b) what are the null and alternative hypothesis being tested? (c) what is the t-statistic you would use? write the general formula and the final calculation.(d) sketch a t-distribution, label your t-statistic and the probability you would be interested in: