40, 90, 36, 68, 90, 11, 88, 54 What is the mean,median,mode, and range?<br><br>
Thanks m8!
sashaice [31]
Answer:
mean 59.625
median 61
mode 90
range 79
Step-by-step explanation:
Answer:
162.06
Step-by-step explanation:
sorry i'm not the best an explaining but i'm confident in my answer.
the first thing to do is get rid of the ² in x²+y²=24, we do this by √24 which ≅4.90 (i rounded to the hundreth place)
then we have this
x-y=6
x+y=4.90
I am using the elmination method. To do that you need to get two letters to have the same coefficient (in 4x 4 is the coefficient) with oposite signs (one possitive one negitive)
In our equation here we see that the same coefficient is 0, and there is oposite signs for y. Therefore we can add the two equations and get
2x=10.9 (the y cancels out)
now we have a simple equation and all that is left is to solve it
10.9/2=5.45
x=5.45
Now we need to find y we do that by pluging the x value into one of the equations I choose the first one becasue its easiest.
(5.45)-y=6
y= - .55
now that we have both x and y plug them into the final equation (5.45)³-(-.55)³= 161.89-(-.17) =162.06
Therefore x³-y³≅162.06!
(if you have any questions or would like to debate the answer please let me know!)
Search it up on google and it should come out
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
Answer:
Step-by-step explanation:
Inicially we have to separate the sphere into 3 parts:
The donut + 1 ball cap (or a dome) + the cylinder hole = the Hemisphere
<em>vide picture</em>
As it shows in the picture we have to find the donut.
The donut = the Hemisphere - (
1 dome + the cylinder hole)
- The hemisphere =
(from the hemisphere formula) - 1 dome* =
- cylinder hole =
(h:
cylinder height)
![D = \frac{4*pi*r^{3} }{6} - (\frac{1}{6}*pi*(r-\sqrt{(r^{2} -a^{2}})*(3a^{2}+((r-\sqrt{(r^{2} -a^{2}})^{2} )+ pi*a^{2}*(2r - 2*(r-\sqrt{(r^{2} -a^{2}})) }](https://tex.z-dn.net/?f=D%20%3D%20%5Cfrac%7B4%2Api%2Ar%5E%7B3%7D%20%7D%7B6%7D%20-%20%28%5Cfrac%7B1%7D%7B6%7D%2Api%2A%28r-%5Csqrt%7B%28r%5E%7B2%7D%20-a%5E%7B2%7D%7D%29%2A%283a%5E%7B2%7D%2B%28%28r-%5Csqrt%7B%28r%5E%7B2%7D%20-a%5E%7B2%7D%7D%29%5E%7B2%7D%20%20%29%2B%20pi%2Aa%5E%7B2%7D%2A%282r%20-%202%2A%28r-%5Csqrt%7B%28r%5E%7B2%7D%20-a%5E%7B2%7D%7D%29%29%20%7D)
![D = \frac{4*pi*2^{3} }{6} - (\frac{1}{6}*pi*(2-\sqrt{(2^{2} -1^{2}})*(3*1^{2}+((2-\sqrt{(2^{2} -1^{2}})^{2} )+ pi*1^{2}*(2*2 - 2*(2-\sqrt{(2^{2} -1^{2}})) }](https://tex.z-dn.net/?f=D%20%3D%20%5Cfrac%7B4%2Api%2A2%5E%7B3%7D%20%7D%7B6%7D%20-%20%28%5Cfrac%7B1%7D%7B6%7D%2Api%2A%282-%5Csqrt%7B%282%5E%7B2%7D%20-1%5E%7B2%7D%7D%29%2A%283%2A1%5E%7B2%7D%2B%28%282-%5Csqrt%7B%282%5E%7B2%7D%20-1%5E%7B2%7D%7D%29%5E%7B2%7D%20%20%29%2B%20pi%2A1%5E%7B2%7D%2A%282%2A2%20-%202%2A%282-%5Csqrt%7B%282%5E%7B2%7D%20-1%5E%7B2%7D%7D%29%29%20%7D)
By basic algebra we have
D = 5.304
*The dome in the 1st picture is represented by the color orange.Looking into the second picture, the dome formula derivatives from the volume of a dome of a hemisphere. By using the following linear system:
- triangle_side2 + a2 = r2
- h + triangle_side = r