What is the length of a soccer field.
Answer:
B is a statistical question
Step-by-step explanation:
A and C ask for qualitative data or categorical data
B asks for quantitative data or numerical data
We obviously use numerical data for statistical work, so B is the answer
Answer:
-4 and 4
Step-by-step explanation:
<u>Method 1</u>
Apply Difference of Two Squares Formula: ![a^2-b^2=(a+b)(a-b)](https://tex.z-dn.net/?f=a%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29)
Given ![x^2-16=0](https://tex.z-dn.net/?f=x%5E2-16%3D0)
Rewrite 16 as 4²
Therefore,
and ![b^2=4^2](https://tex.z-dn.net/?f=b%5E2%3D4%5E2)
![\implies a = \sqrt{x^2}=x](https://tex.z-dn.net/?f=%5Cimplies%20a%20%3D%20%5Csqrt%7Bx%5E2%7D%3Dx)
![\implies b=\sqrt{4^2} =4](https://tex.z-dn.net/?f=%5Cimplies%20b%3D%5Csqrt%7B4%5E2%7D%20%3D4)
![\implies x^2-16^2=(x+4)(x-4)](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2-16%5E2%3D%28x%2B4%29%28x-4%29)
![\implies (x+4)(x-4)=0](https://tex.z-dn.net/?f=%5Cimplies%20%28x%2B4%29%28x-4%29%3D0)
![\implies (x+4)=0 \implies x=-4](https://tex.z-dn.net/?f=%5Cimplies%20%28x%2B4%29%3D0%20%5Cimplies%20x%3D-4)
![\implies (x-4)=0 \implies x=4](https://tex.z-dn.net/?f=%5Cimplies%20%28x-4%29%3D0%20%5Cimplies%20x%3D4)
<u>Method 2</u>
Given equation:
![x^2-16=0](https://tex.z-dn.net/?f=x%5E2-16%3D0)
Add 16 to both sides:
![\implies x^2-16+16=0 + 16](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2-16%2B16%3D0%20%2B%2016)
![\implies x^2=16](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%3D16)
Square root both sides:
![\implies \sqrt{x^2}=\sqrt{16}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B16%7D)
![\implies x=\pm4](https://tex.z-dn.net/?f=%5Cimplies%20x%3D%5Cpm4)
Therefore, x = -4, x = 4
so the coat went down from 50 to 35, namely 15.
if we take 50 to be the 100%, what is 15 off of it in percentage?
![\bf \begin{array}{ccll} aount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x} \\\\\\ 10x=300\implies x=\cfrac{300}{10}\implies x=30](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccll%7D%20aount%26%5C%25%5C%5C%20%5Ccline%7B1-2%7D%2050%26100%5C%5C%2015%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B50%7D%7B15%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B10%7D%7B3%7D%3D%5Ccfrac%7B100%7D%7Bx%7D%20%5C%5C%5C%5C%5C%5C%2010x%3D300%5Cimplies%20x%3D%5Ccfrac%7B300%7D%7B10%7D%5Cimplies%20x%3D30)