Dan, an office manager, wants to replace the catering company in charge of the office lunch. The new company promises the same quality of food at a smaller cost. Before he makes the switch between companies, Dan sends out a satisfaction survey of the old company to a sample of 303030 employees. After a month with the new company, he sends out the same satisfaction survey to the same group of employees. Each survey produces a satisfaction rating. Dan wants to test if the results suggest a significant difference in the average satisfaction rating between the old and the new catering companies. Assume that the necessary conditions for inference were met. Requried:
What is the most appropriate test and alternative hypothesis?

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

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