<h3>
Answer: 1/8</h3>
In decimal form, 1/8 = 0.125 which converts to 12.5%
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Work Shown:
The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.
Here are all of the ways to add to 11 if we had 3 dice
- sum = 1+4+6 = 11
- sum = 1+5+5 = 11
- sum = 1+6+4 = 11
- sum = 2+3+6 = 11
- sum = 2+4+5 = 11
- sum = 2+5+4 = 11
- sum = 2+6+3 = 11
- sum = 3+2+6 = 11
- sum = 3+3+5 = 11
- sum = 3+4+4 = 11
- sum = 3+5+3 = 11
- sum = 3+6+2 = 11
- sum = 4+1+6 = 11
- sum = 4+2+5 = 11
- sum = 4+3+4 = 11
- sum = 4+4+3 = 11
- sum = 4+5+2 = 11
- sum = 4+6+1 = 11
- sum = 5+1+5 = 11
- sum = 5+2+4 = 11
- sum = 5+3+3 = 11
- sum = 5+4+2 = 11
- sum = 5+5+1 = 11
- sum = 6+1+4 = 11
- sum = 6+2+3 = 11
- sum = 6+3+2 = 11
- sum = 6+4+1 = 11
There are 27 ways to add to 11 using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.
So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.
Answer:
<u>First figure:</u>
<u>Second figure:</u>
<u>Third figure:</u>
- Height= q
- Side length = r
<u>Fourth figure: </u>
Explanation:
<u></u>
<u>A. First figure:</u>
<u>1. Formula:</u>
<u>2. Data:</u>
<u>3. Substitute in the formula and compute:</u>
<u>B. Second figure</u>
<u>1. Formula: </u>
<u>2. Data:</u>
<u>3. Substitute and compute:</u>
<u></u>
<u>C) Third figure</u>
a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.
The apex is the point where the three leaned edges intersect each other.
b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.
When the base of the pyramid is a square the four edges of the base have the same side length.
<u>D) Fourth figure</u>
<u>1. Formula</u>
The volume of a square pyramide is one third the product of the area of the base (B) and the height H).
<u>2. Data: </u>
- side length of the base: 11 cm
<u>3. Calculations</u>
a) <u>Calculate the area of the base</u>.
The base is a square of side length equal to 11 cm:
b) <u>Volume of the pyramid</u>:
So 4 inches diameter result the radius is 4/2 = 2 inches
area of base = pir^2 = 3,14*2^2 = 3,14*4 = 12,56 inches squared
volume = area of base *height
V = 12,56 *9 = 113,04 so rounded 113,05 inches cubed
hope this will help you
First you have to make it multiplication so you flip 5/2 around and the two “2’s” will cancel each other so it will be 17/5 or 3 2/5