Answer:
200
Step-by-step explanation:
Answer:
18.85 cm²
Step-by-step explanation:
The formula to find the area of a sector = θ/360 × πr²
We are given:
θ = Angle of the sector = 135°
Radius = Diameter/2
Diameter = 8cm , Hence Radius = 8cm/2 = 4cm
Hence,
Area of a sector = 135/360 × π ×(4cm)²
= 18.849555922 cm²
Approximately to the nearest hundredth = 18.85 cm²
Therefore, the area of the sector is 18.85 cm²
Answer:
900
Step-by-step explanation:
A candidate got 82%votes.
Loosing candidate get=(100-82)=18%
Difference between two votes.
=(82-18)%=64%
Let be the Total vote is=x.
64% of the total vote=576




∴The total votes that were polled are 900.
The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
According to the question,
Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.
First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.
Mean: 10*3 = 30
Standard deviation: 5*3 = 15
Secondly "change of origin" when every score in a data set by a constant, its mean get added or subtracted by the same constant and standard deviation remains constant.
Applying change of origin in the above mean and standard deviation
Mean: 30 - 4 = 26
Standard deviation: Remains same = 15
Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.
Learn more about Mean and standard deviation here
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The answer is 28
30 minutes is half of an hour so you have to divide 7 by 2 which is 3.5 and then multiply 3.5 by 8 to get 28