Answer:
The number of questions in sixth assignment must be less than or equal to 28.
Step-by-step explanation:
The number of questions in first five assignments are 11,10,13,14 and 14.
It is given that Mrs hawk assigns her students an average of no more than 15 questions on each assignment. Therefore the average of six assignments is less than or equal to 15 questions.
Let the number of questions in sixth assignment be x
[tex]\text{Average}=\frac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
Average of six assignments are
[tex]A=\frac{11+10+13+14+14+x}{6}[/tex]
[tex]A=\frac{62+x}{6}[/tex]
Since the average of questions is no more than 15, therefore
[tex]A\leq 15[/tex]
[tex]\frac{62+x}{6}\leq 15[/tex]
[tex]62+x\leq 90[/tex]
[tex]x\leq 28[/tex]
Therefore the number of questions in sixth assignment must be less than or equal to 28.
