V=(4/3)pir^3
r=3
V=(4/3)pi3^3
V=36pi
v=113.04 cubic feet
We know that
The MAD is <span>the mean absolute deviation of the data
step 1
</span><span>To find the mean absolute deviation of the data, start by finding the mean of the data set.
</span><span>Find the sum of the data values, and divide the sum by the number of data values
</span>sum of the data values=[130+150+190+100+175+120+165+140+180+190]
sum of the data values=1540
number of data=10
Mean=1540/10-----> 154
step 2
<span>Find the absolute value of the difference between each data value and the mean: |data value – mean|.
</span> |130 – 154|=24
|150 – 154|=4
|190 – 154|=44
|100 – 154|=54
|175 – 154|=21
|120 – 154|=34
|165 – 154|=11
|140 – 154|=14
|180 – 154|=26
|190 – 154|=44
step 3
<span>Find the sum of the absolute values of the differences.
</span>=[24+4+44+54+21+34+11+14+26+44]------> 276
step 4
<span>Divide the sum of the absolute values of the differences by the number of data values.
</span>276/10-----> 27.6
the answer is
27.6
Answer:
rate of change
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as
where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:
which simplifies a bit to
and
-1 = a(1) - 3. Therefore, a = 2 and our parabola is
Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:
And there you have it! I'm very surprised that this question sat unanswered for so very long! I'm sorry I didn't see it earlier!
Answer:
The smallest value of y in the given two equations is 78
Step-by-step explanation:
Given as :
The two equation is given as :
y = x² + 6 x +23 ...........1
y = 18 x - 12. ..........2
Now, solving both equations
putting the value of y from eq 2 into eq 1
So, x² + 6 x +23 = 18 x - 12
Or, x² + 6 x +23 - 18 x + 12 = 0
Or, x² - 12 x + 35 = 0
Or, x² - 5 x - 7 x + 35 = 0
Or, x (x - 5) - 7(x - 5) = 0
Or, (x - 5) (x - 7) = 0
∴ x = 5 , 7
Now, for smallest value of y , take x = 5
∴ put the value of x in eq 2
So, y = 18 x - 12
I.e y = 18 × 5 - 12
Or, y = 90 - 12
∴ y = 78
Hence, The smallest value of y in the given two equations is 78 . answer
