Answer:
Step-by-step explanation:
Given
Winning Percentage = 0.444 repeating
Required
Represent as a fraction
Represent the percentage with x
Convert to fraction
Next step, is to convert to fraction repeating
To do this, we simply subtract 1 from the denominator
Simplify to the lowest term: Divide numerator and denominator by 37
Simplify to the lowest term: Divide numerator and denominator by 3
Hence;
There winning fraction is
Answer:
x-6
Step-by-step explanation:
(x-5)(x-6)=x^2-11x+30
-6*-5=30
(-6)+(-5)=-11
Answer:
250
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
21, 18, 15, 12....
All you have to do is subtract 3 less on each number you get, until u get to the twentieth term....
21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, <u><em>-36</em></u>
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-36 is the twentieth term of this arithmetic sequence
Hope this helped!
Have a supercalifragilisticexpialidocious day!
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