How to find rapidly the coordinates of Q:
since Q is the center of gravity of the triangle ABC, so we have the following vector relationship
vecQA +vecQB +vecQC =<span>vec0
</span><span>vecQA=(x-3, y+2)
</span><span>vecQB=(x-1, y+5)
</span><span>vecQC=(x-7, y+5)
</span><span>vec0=(0, 0)
</span>
so, vecQA +vecQB +vecQC =<span>vec0 is equivalent to
</span>x-3 +x-1+x-7 =0, and y+2+y+5+<span>y+5=0 so 3x-11=0 implies x=11/3
</span><span>and 3y+12=0 implies y=-12/3
finally the </span><span>the coordinates of point Q is (11/3, -4)</span><span>
</span>
Answer:
271 people
Step-by-step explanation:
Margin of error = critical value × standard error
At 90% confidence, the critical value is 1.645.
Standard error for a proportion is s = √(p (1 − p) / n).
0.05 = 1.645 √(0.52 (1 − 0.52) / n)
n = 271
Answer:
y=4
Step-by-step explanation:
Since the slope is constant, and the only y value for each x value is 4, then the equation is y=4.
