The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.
1 answer:
The standard deviation of the data set is 19.3
<h3>How to find the standard deviation of the data set?</h3>The dataset is given as:
82, 94, 105, 68, 57
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (82 + 94 + 105 + 68 + 57)/5
Evaluate
Mean = 81.2
The standard deviation is then calculated as:
So, we have:
SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]
This gives:
SD = √[1490.8/4]
So, we have:
SD = 19.3
Hence, the standard deviation of the data set is 19.3
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Answer:
The rearrangement of the terms is .
Step-by-step explanation:
The given expression is
Two terms are called like terms if they have same variables having same degree.
In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.
Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.
Therefore the rearrangement of the terms is .
The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.
The formula to calculate the area of a right triangle is given by:
Area of Right Triangle, A = (½) × b × h square units
Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.
We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.
Given sides of the triangle:
a=9cm
b=12cm
c=15cm
From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.
∴Area = x 9 x 12
= 54
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