If you have two numbers and one is a multiple of the other, then the multiple will be their least common multiple.
Let's say you have the numbers 2 and 10.
10 is a multiple of 2.
10 × 1 = 10 and 2 × 5 = 10.
Therefore, 10 is the LCM.
Sarah purchased 2 first class tickets, and 5 coach tickets. This is the answer because $2640- $1020-$1020=$600, and $600÷5=$120.
Answer: The length is 13 inches and the width is 11 inches.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the rectangle is 143 square inches. This means that
LW = 143 - - - - - - - - - - - - --1
The rectangle's length is 2 in more than its width. This means that
L = W + 2
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 143
W² + 2W - 143 = 0
W² + 13W - 11W - 143 = 0
W(W + 13) - 11(W + 13) = 0
W + 13 = 0 or W - 11 = 0
W = - 13 or W = 11
Since the width cannot be negative, it means that W = 11
L = W + 2 = 11 + 2
L = 13
Answer:
29%
Step-by-step explanation:
To find the decrease from 50 to 21 you would subtract 50 - 21. You get 29. This is the same as 29/100. 29/100 is also 0.29 or 29%.
Hope it helps! (I'm so sorry if it's incorrect).
The mean is the sum divided by the number of numbers:
... mean = (20 +16 +18 + 14 +9 +20 +16)/7 = 113/7 = 16 1/7 = μ
The standard deviation can be computed several ways. My favorite is to compute the variance from the average of the squares. Again, that average is their sum divided by their number.
... average square = (400 +256 +324 +196 +81 +400 +256)/7 = 1913/7 = 273 2/7
Then the variance is the difference between the average square and the square of the average
.. variance = 273 2/7 - (16 1/7)² = 273 14/49 - 260 29/49 = 12 34/49
The standard deviation of the sample (s) is the square root of the variance: √(12 34/49) ≈ 3.563
Your numbers are
... μ ≈ 16.1, s ≈ 3.6
_____
The standard deviation here is that of this data set. If this data is a sample of a population, we often want the population standard deviation instead. To get that, multiply this value by √(n/n-1), where n is the sample size. Here, that is √(7/6) ≈ 1.08. (That gives you σ=3.8.)
In real life, the "step by step" is to enter the data into a suitable calculator and let it compute the statistics for you.