Step-by-step explanation:
Let x = 0.3333333...
Then 10x = 3.3333333....
We have 9x = 3, so x = 3/9 or 1/3.
Well 57+59+61= 177 so the answer is 57
Heya!
Question #15:
To find the perimeter of the object, you can count the amount of squares that are on the outside of the object. After you country all around the object, the perimeters is 22 units (Option D)
Question #16:
Since we know the total perimeter, we can divide by the amount of sides a hexagon has because all of the sides are the same length. A hexagon has 6 sides. 42 / 6 = 7 inches (Option A)
Question #17:
To calculate the perimeter of the rectangle, you can add all the sides together. First, find common denominators.
6 1/2 = 6 2/4 and 3 1/4
Now, add all the sides together.
6 2/4 + 6 2/4 + 3 1/4 + 3 1/4 = 19 1/2 cm (Option B)
Question #18:
We can find the perimeter of the semi circle and square separately. Only take the perimeter of the square using 3 sides since the fourth sides is in the semi circle.
8 + 8 + 8 = 24 inches
Circumference of a semi circle formula: C = πd
C = (3.14)(8)
C = 25.12
Now, add both perimeters together.
24 + 25.12 = 49.12 inches (Option D)
Best of Luck!
Answer:
a) 
And if we solve for
we got:

b) False
The reason is because we don't satisfy the following relationship:

We have that:

c) False
In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

Step-by-step explanation:
For this case we have the following probabilities given:

Part a
We want to calculate the following probability: 
And we can use the total probability rule given by:

And if we solve for
we got:

Part b
False
The reason is because we don't satisfy the following relationship:

We have that:

Part c
False
In order to satisfy independence we need to have the following condition:

And for this case we don't satisfy this relation since:

Answer:
C. 134.04 
Step-by-step explanation:
The formula to calculate the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height</em>
<em />
The base of the cone is a circle, so that the formula to calculate the are of the base is: <em>Area of base = </em>
x
The radius of the base is 4cm
=> <em>Area of base = </em>
x 4^2 = 3.14 x 16 = 16

The height of the cone is given equal to 8 cm
So the volume of the cone is:
+) <em>Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16</em>
<em> x 8 = 134.04 </em>
<em />
<em />
So the answer is C