Of the 182 students who are taking three first year core Mathematics modules (Reasoning, Algebra and Calculus), 129 like Reasoning, 129 like Algebra, 129 like Calculus, 85 like Reasoning and Algebra, 89 like Reasoning and Calculus, 86 like Algebra and Calculus, and 54 like all three modules. How many of the students like none of the core modules?

1 student.

Step-by-step explanation:

No of students that like Reasoning = 129 - (85-54) - (89-54)

= 63

No of students that like Reasoning only = 63-54

= 9

No of students that like Calculus = 129 - (86-54) - (89-54)

= 62

No of students that like Calculus only = 62-54

= 8

No of students that like Algebra = 129 - (86-54) - (85-54)

= 66

No of students that like Algebra only = 66-54

= 12

No of students that like Algebra and Resoning only = (85-54)

= 31

No of students that like Algebra and Calculus only = (86-54)

= 32

No of students that like Reasoning and Calculus only =(89-54)

= 35

Total students = 182

Total students offering at least one module + total students offering none = Total students

182 = 9 + 8 + 12 + 31 + 32 + 35 + 54 + X

X = 182 - 181

= 1 student.

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}

just pick what you think i need more time let me know if this

step-by-step explanation: