An expression is evaluated as shown below. 8 + 3 × (4 ÷ 2) − 7

Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15

In which step does a mistake first appear?

What is the simplified form of square root of 400 to the 100th power ?

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:

An entertainment firm offer serveral dj choices and light shows that range in price based on the rental time period. the djs cost between $219 and $369 per night and the light shows cost between $159 and $309 per night. if you are booking both a dj and a light show write a compound inequality that represents the possible total amount you would pay x