Answer:
m = 0.5, b = 2, greater than symbol >
Step-by-step explanation:
Slope:
We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)
Rise ÷ Run
1 ÷ 2 = 0.5
Y-Intercept:
The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2
Inequality:
The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >
We calculate for the x- and y-components of the distances traveled by the clown.
First: 8.0 m north
x-component = 0 m
y-component = +8 m
Second: 55° north of east (3.5 m)
x-component = (3.5 m)(cos 55°) = 2 m
y-component = (3.5 m)(sin 55°) = 2.87 m
Third: 5 m east
x-component = 5 m
y-component = 0 m
The total x-component is equal to 7 m and the y-component is equal to 10.87 m.
The displacement is,
c = sqrt((7 m)² + (10.87 m)²)
c = 12.93 m
<em>Answer: 12.93 m</em>
Answer:
$51.2
Step-by-step explanation:
4 x 12.8 = 51.2
The z-score associated with 14.3 is 0.84. 0.2995 of the population is between 12.2 and 14.3. 0.1894 of the population is less than 10.0.
The formula for a z-score is
z=(X-μ)/σ
With our data, we have:
z=(14.3-12.2)/2.5=0.84
The z-score associated with the mean is 0.5. To find the proportion of the population between the mean and 14.3, subtract 0.7995 (the proportion of population below the z-score of 0.84, using http://www.z-table.com) and 0.5:
0.7995 - 0.5 = 0.2995.
The z-score for 10.0 is
(10.0-12.2)/2.5 = -0.88. The proportion of the population less than this is 0.1894.
(x (15))/100 = 8
x(15) = 800
x = 800/15 = 53,3333 ( just take 53 )
