Answer:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
35
Answer:
![6x + 5 + 4x = 45](https://tex.z-dn.net/?f=6x%20%2B%205%20%2B%204x%20%3D%2045)
![10x = 40](https://tex.z-dn.net/?f=10x%20%3D%2040)
Step-by-step explanation:
Given
![OP = 6x + 5](https://tex.z-dn.net/?f=OP%20%3D%206x%20%2B%205)
![PQ = 4x](https://tex.z-dn.net/?f=PQ%20%3D%204x)
![OQ = 45](https://tex.z-dn.net/?f=OQ%20%3D%2045)
The given parameters show that P is a point between O and Q.
So:
![OQ = OP + PQ](https://tex.z-dn.net/?f=OQ%20%3D%20OP%20%2B%20PQ)
Substitute values for OP, PQ and OQ
![45 = 6x + 5 + 4x](https://tex.z-dn.net/?f=45%20%3D%206x%20%2B%205%20%2B%204x)
--- This is an equation
Collect Like Terms
![6x + 4x = 45 - 5](https://tex.z-dn.net/?f=6x%20%2B%204x%20%3D%2045%20-%205)
------ This is another
Make x the subject
![x = \frac{40}{10}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B40%7D%7B10%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Answer: √136 / 2√34
Step-by-step explanation:
√(10)squared + (6)squared= √136
Answer:
2x⁴ - x² - 15
Step-by-step explanation:
(X² - 3)(2x² + 5)
[x²(2x² + 5)] - [3(2x² + 5)]
= 2x⁴ - x² - 15
Answer:
![V=192\ in^3](https://tex.z-dn.net/?f=V%3D192%5C%20in%5E3)
Step-by-step explanation:
Given that,
The area of base, A = 24 in²
The height of the pyramid, h = 8 in
We need to find the volume of the following figure.
The volume of pyramid is given by :
![V=A\times h](https://tex.z-dn.net/?f=V%3DA%5Ctimes%20h)
Substitute all the values,
![V=24\times 8\\\\=192\ in^3](https://tex.z-dn.net/?f=V%3D24%5Ctimes%208%5C%5C%5C%5C%3D192%5C%20in%5E3)
So, the volume of the pyramid is equal to
.