Question

6 questions = 30 points someone please help me

For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area? (Use π = 3.14)

A)
343 in2


B)
548 in2


C)
728 in2


D)
923 in2

Use the Pythagorean Theorem to find the distance between points A and B.

A)

Sqr 11

B)

Sqr 41


C)

Sqr 54


D)

Sqr 61Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?

A)
Store #1


B)
Store #2


C)
The stores bring in the same amount of sales.


D)
This cannot be determined from the scatterplots.


43)
Which fraction is BETWEEN
5/12 and 5/11?

A)
11/23


B)
115/264


C)
25/264


D)
5/13

You select a marble at random and then put it back. If you do this 4 times, what is the best prediction for the number of times you will pick an orange marble?

A)
1


B)
2


C)
3


D)
4

Choose the correct rule for the graph shown.

A)
y = 2x


B)
y = 3x + 1

C)
y = 2x + 1


D)
y = 2x - 1

Which rational number falls between
7/8 and 6/9?

A)
15/31


B)
3/17


C)
53/72


D)
7/12

Answer 1

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part =
`2\pi rL`

Area of the parts that cover the open parts of cylinder =
`2\pi r^2`

Therefor Total are of the cylinder =
`2\pi rL+2\pi r^2`

Area of the total cylinder =
`2*3.14*6.8*14.2+2*3.14*6.8^2`

=
`896.784`

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

`(AC)^2+(CB)^2=(AB)^2`

The distance from A to C = 6

The distance from C to B = 5

`(AC)^2=6^2=36`

`(CB)^2=5^2=25`

`(AC)^2+(CB)^2=(AB)^2=36+25=61`

Therefor
`(AB)^2=61\\(AB)=√(61)`

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 =
`(1)/(2) *(110+40)*110=8250`

Area of the Store 2=
`(1)/(2) *110*80=4400`

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

Answer is A) Store 1 has more sales revenue

Answer for Question 4

`(5)/(12)=0.4167\\(5)/(11)=0.4545`

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)

`(11)/(23) =0.4782`, therefor this is not in between those two numbers.

Then it has to be
`(115)/(264) =0.4356`

Answer is B)

Answer for question 6

The equation of a straight line is of the form
`y=mx+c`

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,

`(y1-y2)/(x1-x2) =(7-3)/(3-1) =2`

Therefor the equation of the graph is,

`y=2x+1`

Answer is C

Answer for question 7

`(7)/(8) =0.875`

`(6)/(9) =0.67`

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)

`(53)/(72) =0.73`, This falls between the above 2 numbers.

Therefor answer is C