2=120
7= 11y +21
9= 28x+88
1
Answer:
GIVEN :
Which division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction?
A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)
B) Negative Start Fraction 5 over 6 End Fraction divided by Start Fraction 13 over 3 End Fraction
C) Start Fraction 13 over 3 End Fraction divided by Start Fraction 5 over 6 End Fraction
D) Negative Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction)
TO FIND :
The division expression is equivalent to 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction
SOLUTION :
Given expression is 4 and one-third divided by Negative Start Fraction 5 over 6 End Fraction.
It can be written as
Now solving the above expression as below :
By converting the mixed fraction into proper fraction,
By using the quotient rule of exponents :
∴ the given expression is equivalent to
⇒ option A) Start Fraction 13 over 3 End Fraction divided by (Negative Start Fraction 5 over 6 End Fraction) is correct.
Step-by-step explanation:
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
Answer:
Step-by-step explanation:
Answer:
D. 314 m²
Step-by-step explanation:
Area of circle= π r²
Radius = r = 10 meter
By putting radius in formula we get
area = 314.159 m² and nearest square meter is 314 m²