Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
Answer:
1. The speed of the truck, S = D/T.
2. The formula that connects D and T is: S = D/T.
3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.
Step-by-step explanation:
a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance. This implies that speed is a function of distance and time. However, this formula represents the mean speed. There are variations in speed.
b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given, the line passes through an initial point of (- 9, 6) and (1, 27). This means that
x1 = - 9, y1 = 6
x2 = 1, y2 = 27
By substituting these values into the slope formula, we have
m = (27 - 6)/(1 - - 9) = 21/(1 + 9) = 21/10
We would find the y intercept by substituting m = 21/10, x = - 9 and y = 6 into the slope intercept equation. We have
6 = 21/10 * - 9 + c = - 189/10 + c
c = 6 + 189/10 = 249/10
By substituting m = 21/10 and c = 249/10 into the slope intercept equation, the equation of the line is
y = 21x/10 + 249/10
In decimal form, the equation of the line is
y = 2.1x + 24.9
Answer: 8
Step-by-step explanation:
I think it's 8 but im not so sure
