Aworld history class recently took its mid-
term exam. the following table represents
the array of scores.
х
| 20%
40%
60%
80%
100%
if a thirteenth student took the exam the
next day, what must that score be to arrive at
a class mean score of 60%?

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west