Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
Thats easy. figure it out
Answer:
x <
Step-by-step explanation:
Given
- ax + 4b > 9 ( isolate the term in x by subtracting 4b from both sides )
- ax > 9 - 4b ( divide both sides by - a )
Remembering to reverse the inequality symbol when dividing by a negative quantity, thus
x <
Answer:
A. -1/8 x + 3/16
Step-by-step explanation:
Distribute -1/2 over the parentheses
-1/2 ( 1/4 x - 3/8 )
-1/2 (1/4 x) - 1/2 (-3/8 )
multiply fractions to simplify
-1/8 x + 3/16
A is correct
Answer:
5:24
Step-by-step explanation:
15:72
3 is the greatest common factor
5:24