What’s 3n+n simplified?
2 answers:
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Answer:
x = 10, y = 10
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = , cos60° =
, then
sin60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
and
cos60° = =
=
( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
Answer:
a) Mean = $121
Sum of deviations = $0
b) Standard deviation = 41.19
Variance = 1696.67
Range = $120
Step-by-step explanation:
We are given the following data:
$91 , $176 , $108 , $115 , $56 , $157 , $144
a) Mean and sum of deviations
Sum of deviations =
-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0
The sum of deviations is zero dollars.
b) range, variance, and standard deviation
where are data points,
is the mean and n is the number of observations.
Sum of square of differences =
900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180
Sorted data: 56, 91, 108, 115, 144, 157, 176
Range = Maximum - Minimum
Range = 176 - 56 = 120