We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
B IS THE ANSEWER TO THE PROBLEM
1. the mode is 100 because 100 is the most common number in that sequence
2. the mean is 193.8 because if you add up 108, 306, 252, 113, and 191 then divide that by 5 you get 193.8
Answer:
2/3d=h
Step-by-step explanation:
2/3 is the amount it grows (in inches)
d represtenst the days
h represents height
2/3*6 = 4
Population of England in 2003 = 383 * 130,281 = 49,897,623
In 2008 this is 0.84 * 61,000,000 = 51,240,000
Increase = 51,240,000 - 49,897,623 = 1,342,377
Answer is 1,300,000 to 2 significant figures.
