In order to minimize its exposure, Java Ltd has been thinking about diversifying along two options shown below: i). Portfolio I: invest 40,000 cedis in shares and 60,000 cedis in bonds. ii). Portfolio II: invest 55,000 cedis in shares and 45,000 cedis in bonds. Compute the expected return and standard deviation of each portfolio if the correlation coefficient of the return of the two investments is -0.35.

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:

The cost varies directly with the number of tickets purchased. it costs $145 for 10 people to attend a concert. a. what is the constant of proportionality (k)? b. write the direct variation equation. c. home much does it cost for 8 people? d. graph this situation. be sure to label each axis and give the graph a title.

A.)complete this table by reading the values from the graph. estimate any function values that are less than one. x -3 -2 -1 0 1 2 3 exponential function linear function b.)at approximately what values of x do both the linear and exponential functions have the same value for y?