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AleksAgata [21]
3 years ago
5

What is the probability of rolling a number greater than 2 with a 6 sided die, three times in a row?

Mathematics
1 answer:
Fed [463]3 years ago
3 0
A number greater than 2 is: 3, 4, 5, 6
Roll 1: 4 numbers out of 6 numbers total = 4/6 = 2/3
Roll 2: (same as roll 1)
Roll 3: (same as roll 1)

Roll 1 AND Roll 2 AND Roll 3
 2/3      x      2/3       x     2/3    = 2³/3³ = 8/27

Answer: \frac{8}{27}
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One number is 6 less than 5 times the other number. Their sum is 60. Find the numbers.
OLEGan [10]

Answer:

The numbers are 11 and 49.

Step-by-step explanation:

<em>x = 5y - 6 </em> This is just the first sentence written as an equation.

<em>x + y = 60</em> This is just the second sentence written as an equation.

<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to

<em>6y - 6 = 60</em> Collect like terms

<em>6y = 66</em> Add 6 to each side

<em>y = 11</em> Divide each side by 6

<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is

<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55

<em>x = 49</em> Subtract 6 from 55 to get 49

8 0
3 years ago
Find the area of a parallelogram with sides 6 and 12 and an angle of 60
KiRa [710]
Hello,

Let's assume h the heigth of the parallelogram

h/6=sin 60°==>h=√3/2*6=3√3
Area=3√3 * 12=36√3

8 0
3 years ago
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Based on trends displayed in the graphs above, which answer choice represents a likely situation for 2010? a. There will be more
tankabanditka [31]

Answer:

the answer is C on e2020

Step-by-step explanation:

8 0
3 years ago
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The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimension
soldi70 [24.7K]

Answer:

length = 32m, width= 16m

Step-by-step explanation:

l=2w

2(2w+w)=96

2(3w)=96

6w=96,w= 96/6 = 16m

l=2w=2x16=32m

8 0
3 years ago
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Can someone please explain step by step on how I subtract fractions like for an a example!
kotykmax [81]

Keep the denominators the same and subtract the numerators. So for example in your example:

7/8 - 3/8

Leave the 8 alone. Subtract 3 from 7.

7 - 3 = 4

So answer is:

4/8

Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2

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3 years ago
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