Answer:
75.44 Square Inches
Step-by-step explanation:
The diagram of the problem is produced and attached.
To determine the area of the cleaned sector:
Let the radius of the larger sector be R
Let the radius of the smaller sector be r
Area of the larger sector ![=\frac{\theta}{360}X\pi R^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20R%5E2)
Area of the smaller sector ![=\frac{\theta}{360}X\pi r^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20r%5E2)
Area of shaded part =Area of the larger sector-Area of the smaller sector
![=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20R%5E2-%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20r%5E2%5C%5C%3D%5Cfrac%7B%5Ctheta%20%5Cpi%7D%7B360%7DX%20%28R%5E2-%20r%5E2%29)
From the diagram, R=10 Inch, r=10-7=3 Inch, ![\theta=95^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D95%5E%5Ccirc)
Therefore, Area of the sector cleaned
![=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches](https://tex.z-dn.net/?f=%3D%5Cfrac%7B95%20%5Cpi%7D%7B360%7DX%20%2810%5E2-%203%5E2%29%5C%5C%3D75.44%24%20Square%20Inches)
Answer:
(x,y) --> (x+4, y-5)
Step-by-step explanation:
A is correct. B can be represented as x+4, y - 5 because the x values shifted 4 to the right (a positive shift so x+4) and the y values shifted 5 down (a negative shift so y-5)
Answer:
3/1000 chance
Step-by-step explanation:
The correct answer is F. Quantitative data are numerical in nature, while qualitative data are categorical in nature.
Explanation:
In research and all the different fields that apply to it, the word "data" refers to information, values or knowledge that can be used to understand a specific situation or phenomenon. Additionally, data can be of two different types quantitative and qualitative, these differ in their nature, the phenomenons they described and the way they should be analyzed. Indeed quantitative data refers mainly to numerical data or information about quantities such as statistics that are especially useful in mathematics, science and similar that focus on numbers. On the other hand, qualitative data refers to data based on categories or qualities and because of this qualitative data is used in humanistic research, although both types of data can be combined to study a phenomenon. Considering this, the key difference between both types of data is "Quantitative data are numerical in nature, while qualitative data are categorical in nature".
The value of track is given by:
V(x)=32500(0.92)^x
when x=2
V(2)=32500(0.92)^2=$27508
when x=3
V(3)=32500(0.92)^3=$25,307.36
Difference in values will be:
27508-25307.36
=$2,200.64