Answer:
Step-by-step explanation:
The box plots are a type of graph that can help visually organize data. To graph a box plot the following data points must be calculated: the minimum value, the first quartile, the median, the third quartile, and the maximum value.
Therefore, for the given data:
Minimum= 5
Maximum= 32
First Quartile (Q1)= ( (n+1)/4) th term also known as the lower quartile.
The second quartile or the Median is given as Second Quartile
(Q2)= ( (n+1)/2) th
Third Quartile (Q3)
(Q3) = (3 (n + 1)/4)
Answer:
The working of expressions is shown below.
Step-by-step explanation:
We are given the following information:
a) Expand
![3(x+4)\\3\times x + 3\times 4\\3x + 12](https://tex.z-dn.net/?f=3%28x%2B4%29%5C%5C3%5Ctimes%20x%20%2B%203%5Ctimes%204%5C%5C3x%20%2B%2012)
b) Expand and simplify
![4(x+5)-2(x-3)\\=(4x + 20) -(2x-6)\\=( 4x-2x) + (20 + 6)\\= 2x + 26\\=2(x +13)](https://tex.z-dn.net/?f=4%28x%2B5%29-2%28x-3%29%5C%5C%3D%284x%20%2B%2020%29%20-%282x-6%29%5C%5C%3D%28%204x-2x%29%20%2B%20%2820%20%2B%206%29%5C%5C%3D%202x%20%2B%2026%5C%5C%3D2%28x%20%2B13%29)
c) Expand
![(x+2)(x+7)\\=x\times x + x\times 7 + 2\times x + 2\times 7\\= x^2 + 7x + 2x + 14\\=x^2 + 9x +14](https://tex.z-dn.net/?f=%28x%2B2%29%28x%2B7%29%5C%5C%3Dx%5Ctimes%20x%20%2B%20x%5Ctimes%207%20%2B%202%5Ctimes%20x%20%2B%202%5Ctimes%207%5C%5C%3D%20x%5E2%20%2B%207x%20%2B%202x%20%2B%2014%5C%5C%3Dx%5E2%20%2B%209x%20%2B14)
d) Factorize fully
![12x-18\\=6(2x-3)](https://tex.z-dn.net/?f=12x-18%5C%5C%3D6%282x-3%29)
Wade wants to have at least $55 left, so the sign will be ≤ (greater than or equal to 55) One sweater costs $12. You can use x to represent an unkown number of sweaters, so $12x. You are subtracting 12x by your budget of $175. When put together, the inequality is $175-$12x ≤ $55.
Now to solve. You want to get x alone so subtract 175. You must do this to both sides. Now you have -12x≤ -120. Divide both sides by -12 and your final answer is -120/-12 ≥ 10. (Notice the sign changes when you divide by a negative)
So Wade cannot buy more than 10 sweaters to have $55 left over. Phoo that was a workout. It can be difficult but once you get the hang of it it comes easy. If you need more help just ask :D
Use the equation and the map it might help so you can check your answer both ways tell me what the equation is and ill help a little more