<span>Sometimes true.
This deals with the definition of range, mean, and mode.
Range = difference between the smallest and largest number
Mean = average. Just add up all the numbers together and divide by the number of numbers in the list.
Mode = The number that occurs the most frequently.
Now for an example where two lists of numbers that have the same range and mean, but don't have the same mode
list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10}
range = 9
mean = 5.27
mode = 3
list_2 = {1, 2, 3, 4, 4, 4, 6, 7, 8, 9, 10}
range = 9
mean = 5.27
mode = 4
So the above 2 lists show a case where the range and mean match exactly, but they don't have the same mode.
Now for two different lists where their mode does match.
list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10}
Range = 9
Mean = 5.27
Mode = 3
list_2 = {1, 2, 3, 3, 3, 4, 5, 8, 9, 10, 10}
Range = 9
Mean = 5.27
Mode = 3
So as you can see, a 2 sets of data may have the same same and same mean and will only sometimes have the same mode.</span>
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
5 is b because 3/6 is equivalent to 1/2
6 is a because 1/6 is less than half
Answer:
the answer to this question is 2.4b
