Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.
Answer:
Value of test statistics = 2.30
Step-by-step explanation:
We are given that for a sample of 35 items from a population for which the standard deviation is 20.5, the sample mean is 458.
Also, Null Hypothesis, 
: 
= 450
Alternate Hypothesis, 
: 
450
The test statistics that will be used here is One sample t-test statistics;
T.S. = 
~ 
where, 
= sample mean = 458
s = sample standard deviation = 20.5
n = sample of items = 35
So, test statistics = 
~ 
= 2.30
Therefore, the value of test statistics is 2.30 .
Distance = √(x2 − x1)^2 + (y2 − y1)^2
Substitute in the coordinates.
Distance = √(3 − (-7))^2 + ((-4) − 5)^2
Simplify by using order of operations/PEMDAS.
Distance = √(10)^2 + (-9)^2
Distance = √100 + 81
Distance = √181
The distance is √181 or 13.45362. However, I suggest leaving the distance as √181.
The area of the rectangle will be 36√3 square cm. Then the correct option is C.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
The dimensions of the rectangle are 6 cm and 6√3 cm.
Then the area of the rectangle will be
Area of the rectangle = L × W
Area of the rectangle = 6 × 6√3
Area of the rectangle = 36√3 square cm
The area of the rectangle will be 36√3 square cm.
Then the correct option is C.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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