Standard deviations, σ, is generally preferred over range. Reason being, it is calculated from all the data and when there is outliers it will not be impacted as much as the range. It is great to not also that, The IQR is preferred to the standard deviation when the distribution is very highly skewed or when there are severe outliers, because the IQR is less sensitive to this features than standard deviation.
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Step-by-step explanation:
x = £FX/£F= 260+10k/40+k = 7.2
<h3>260 +10k = 288 + 7.2k 2.8 k = 28 k=10 </h3>
Answer:
A. 35 ft.
B. 35 ft
Step-by-step explanation:
Please see attached photo for diagram.
A. Determination of the diagonal using pythagorean theorem.
A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:
Ist leg (L₁) = 25 ft
2nd leg (L₂) = 25 ft
Diagonal (d) =?
d² = L₁² + L₂²
d² = 25² + 25²
d² = 625 + 625
d² = 1250
Take the square root of both side
d = √1250
d = 35 ft
B. Determination of the diagonal using trigonometry.
Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e
Angle between Diagonal and each leg = 90/2 = 45°
Finally, we shall determine the length of the diagonal. This can be obtained as follow:
Angle θ = 45°
Opposite = 25 ft
Hypothenus = d
Sine θ = Opposite / Hypothenus
Sine 45 = 25 / d
0.7071 = 25 / d
Cross multiply
0.7071 × d = 25
Divide both side by 0.7071
d = 25 / 0.7071
d = 35 ft
Answer: B(7,0)
Step-by-step explanation:
Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.
Let the coordinate of B be (x,y)
Therefore, the distance AM is equal to distance MB.
Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}
Comparing corresponding coordinates,
5-3 = x-5
x= 5+5-3 = 7
4-8 = y-4
y= 4-8+4= 0
Therefore, the coordinate of B is (7,0)
Answer:
2 hours * (47 miles / hour) = 94 miles
multiply the value in miles per hour by the conversion factor '1.609344'.
So, 2.2 miles per hour = 2.2 × 1.609344 = 3.5405568 kilometers per hour.
Step-by-step explanation: