Which expression is equivalent to 16(30x−24y)−18(32x−16y)16(30x-24y)-18(32x-16y)?
1 answer:
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Answer:
μ = 235.38
σ = 234.54
Step-by-step explanation:
Assuming the table is as follows:
This is an example of grouped data, where a range of values is given rather than a single data point. First, find the total frequency.
n = 339 + 86 + 55 + 18 + 11 + 8 + 3
n = 520
The mean is the expected value using the midpoints of each range.
μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520
μ = 122400 / 520
μ = 235.38
The variance is:
σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)
σ² = 55009.7
The standard deviation is:
σ = 234.54
Solve for x (isolate/get x by itself)
Add 5 on both sides
Subtract 1/4x on both sides
Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x
Multiply 8 on both sides
-16 = x