Quantitative Thinking



Quantitative Thinking

Question 1

E = mc2

E = (1) x (2.998 x 108)2 = 8.988 x 1016 Joules

E = 144 Petawatts

1 Petawatt = 1015 x 144 = 1.44 x 1017

Total Energy (joules) = 1.44 x 1017 x 3600 = 5.184 x 1020 joules

From the equation we used m = E/c2 = 5.184 x 1020/8.988 x 1016 = 0.576 x 104 kg

Question 2 (a)

Mean = (3 + 7 + 8 + 83 + 8)/ 5 = 21.8 seconds



x

(x-u)

(x-u)^2

3

-18.8

353.44

7

-14.8

219.04

8

-13.8

190.44

83

61.2

3745.44

8

-13.8

190.44

 

Total

4698.8

SD = = 30.65 seconds

Median Duration = 8 Seconds

Mode Duration = 8 Seconds

Question 2 (b)

95% confidence interval = = 72 ±1.96 (5) = ...