Answer:
1)D
2)D
3)A
4)B
5)Cannot Answer - No data
6)C
7)C
6 Questions answered for 30 points.
Step-by-step explanation:
Answer for the 1st Question,
Area of a cylinder can be calculated by,
Area of the cylindrical part = [tex]2\pi rL[/tex]
Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]
Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]
Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]
=[tex]896.784[/tex]
Therefor best estimate will be D) 923 in^2
Answer for the 2nd Question,
ABC is a triangle.
By Pythagorean theorem it says,
[tex](AC)^2+(CB)^2=(AB)^2[/tex]
The distance from A to C = 6
The distance from C to B = 5
[tex](AC)^2=6^2=36[/tex]
[tex](CB)^2=5^2=25[/tex]
[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]
Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]
Therefor Answer is D) Sqr 61
Answer to Question 3
To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)
Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.
Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]
Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]
Therefore Revenue from Store 1 = $8250
Revenue from Store 2 = $4400
Answer is A) Store 1 has more sales revenue
Answer for Question 4
[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]
You can straight away discard answer D because it is less than both 5/12 and 5/11.
Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)
[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.
Then it has to be [tex]\frac{115}{264} =0.4356[/tex]
Answer is B)
Answer for question 6
The equation of a straight line is of the form [tex]y=mx+c[/tex]
here m is the gradient and c is the intercept.
Find the intercept(c) by finding the y value when x value is 0, here it is +1.
Gradient (m) of the graph can be found by,
[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]
Therefor the equation of the graph is,
[tex]y=2x+1[/tex]
Answer is C
Answer for question 7
[tex]\frac{7}{8} =0.875[/tex]
[tex]\frac{6}{9} =0.67[/tex]
We can discard answer A because the value is close to 0.5
We can discard answer B because 3/17 is a very small value (0.17)
[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.
Therefor answer is C
