The probability that the digits display a palindrome = 19/240 Ans.
As we know the total no. of possible hours = 12
Total number of possible minutes= 60
Therefore, total no. of possible times that can be shown are = 12
Since total no. of Palindromes possible per hour for the nine hours 1 through 9 = 6
No. of palindromes per hour from 10 through 12 = 1
Therefore, total no of palindromes = (6*9) + 3 = 57
Probability that the digits display a palindrome = 57/720 = 19/240
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
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Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
<h3>What is the area of the circle?</h3>
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
Put this value in the above formula to find the area of the circle as,
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
brainly.com/question/402655
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Answer:
28/155
Step-by-step explanation:
To find people who do use the waterslide and/or the sauna subracter 43 from 155 to get 112.
To find the people who only use the sauna subtract 97 from 112 to get 15.
To find people who use both the waterslide and the sauna subtract 15 from 43 to get 28.
The probability of a person who uses both the waterslide and the sauna is 28/155.