LCM of 6 and 10? Example of LCM: LCM of 3 and 4 1. List the factors 3: 3, 6, 9, 12, 15, 18, 21,24,27, 30, 33, 36 4: 4, 8, 12, 16, 20, 24, 28, 32, 26, 40, 44, 48 2. Find common factors 12, 24 3. Find the least common factor 12
Now for this problem 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 121, 120 Common Factors 30, 60 Least Common Factor= 30
The pattern is to multiply each consecutive term by (-6). Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).
A negative number times a negative number is a positive number
(eg: -30 x -6 = 180). Also, (-1,080 x -6 = 6,480.) (6,480 x -6 = 38,880).
Researchers measured the data speeds for a particular smartphone carrier at 50 airports.
The highest speed measured was 76.6 Mbps.
n= 50
X[bar]= 17.95
S= 23.39
a. What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?
If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation
Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations
c. Convert the carrier's highest data speed to a z score.
The value is X= 76.6
Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51
d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.
