Work shown above! Hope this helps C:
Answer:
Volume of cube = 64 m^3
Let the sides of cube = x
So volume = x^3 = 64
It's length is scaled up by a factor of 5.
Each side of the cube will become = 5x
New volume = (5x)^3 = 125 x^3 = 125×64 = 8000 m^3
New volume is 8000 m^3.
Step-by-step explanation:
Answer:
"0.9999" is the correct solution.
Step-by-step explanation:
The given values in the question are:
Mean,
= 55
Standard deviation,
= 9.1
Now,
⇒ ![z=\frac{X-mean}{sd}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BX-mean%7D%7Bsd%7D)
By putting the values, we get
⇒ ![=\frac{90-55}{9.1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B90-55%7D%7B9.1%7D)
⇒ ![=\frac{35}{9.1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B35%7D%7B9.1%7D)
⇒ ![=3.8461](https://tex.z-dn.net/?f=%3D3.8461)
hence,
![P(X](https://tex.z-dn.net/?f=P%28X%3C90%29)
= ![P(Z](https://tex.z-dn.net/?f=P%28Z%3C3.8461%29)
= ![NORMSDIST(3.8461)](https://tex.z-dn.net/?f=NORMSDIST%283.8461%29)
then the value will be:
= ![0.9999](https://tex.z-dn.net/?f=0.9999)
Answer:
![(x + 3)^2 + (y- 2)^2 = 4](https://tex.z-dn.net/?f=%28x%20%2B%203%29%5E2%20%2B%20%28y-%202%29%5E2%20%3D%204)
Step-by-step explanation:
A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by
(x-a)^2 + (y-b)^2 = r^2
______________________________________
In the problem
we have
center as (-3,2) while radius is 2 units.
Thus, it equation can be written based on above discussion as
a = -3, b = 2 r =2
![(x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4](https://tex.z-dn.net/?f=%28x-a%29%5E2%20%2B%20%28y-b%29%5E2%20%3D%20r%5E2%20%5C%5C%28x-%28-3%29%29%5E2%20%2B%20%28y-%202%29%5E2%20%3D%202%5E2%5C%5C%28x%20%2B%203%29%5E2%20%2B%20%28y-%202%29%5E2%20%3D%204)
thus, correct choice is option third.
Answer:
6
Step-by-step explanation: