Answer:
For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean
Step-by-step explanation:
A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.
34% of data is covered in one standard deviation from mean on one side.
Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..
Answer:
x=123
Step-by-step explanation:
x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.
x=123
Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees
57*x=180
Subtract 57 from both sides to get x by itself.
x=123
Answer:
9 litres of tomato concentrate
Answer:
<h2><em>
sinθ - 4cosθ = 0</em></h2>
Step-by-step explanation:
Given the equation of a plane in rectangular coordinates to be y = 4x.
The cylindrical coordinates of the axis is as given below;
x = rcosθ
y = rsinθ
z = z
Since there is no z coordinate in the equation of the plane given, we will only substitute x = rcosθ and y = rsinθ into the equation y = 4x and simply the result as shown;
y = 4x
rsinθ = 4( rcosθ)
rsinθ = 4rcosθ
sinθ = 4cosθ
sinθ - 4cosθ = 0
<em>Hence the equation for the plane in cylindrical coordinate is expressed as sinθ - 4cosθ = 0</em>
<h3>
Answer: (3, -2)</h3>
Explanation:
Your teacher wants you to find the midpoint. This is the point that is in the middle of the two given points. Let's call this M. So the distance from M to (5,-5) will be the same as the distance from M to (1,1)
The x coordinates of (5,-5) and (1,1) are 5 and 1 respectively.
Add them up: 5+1 = 6
Divide by two: 6/2 = 3
The x coordinate of the midpoint is x = 3
Repeat for the y values -5 and 1
Add: -5+1 = -4
Divide in half: -4/2 = -2
The y coordinate of the midpoint is y = -2
So the midpoint is M = (x,y) = (3,-2)
If you were to use the distance formula, you would find that
distance from (5,-5) to (3,-2) = distance from (3,-2) to (1,1)
This is what it means to be "equidistant" (aka "equally distant")
