(1.9 x 10^5)^3 = 1.9^3 x 10^15 = 6.859 x 10^15
Answer:
the problem has an infinite number of solutions
Explanation:
3x - 12y = 6
x - 4y = 2
make the coefficient of x same by multiplying the entire following by 3
⇒ ( x - 4y = 2 ) * 3
⇒ 3x - 12y = 6 __ equation 2
3x - 12y = 6 __ equation 1
solving using elimination method:
3x - 12y = 6
3x - 12y = 6
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0
Since there is no repetition allowed, there are 10 possibilities for the 1st digit, 9 for the 2nd, 8 for the 3rd, and 7 for the 4th. This gives a total of (10)(9)(8)(7) = 5040 four-digit codes.
For all odd digits to be used, there are 5 possibilities for the 1st digit (1,3,5,7,9), 4 for the 2nd, 3 for the 3rd, 2 for the 4th. This gives a total of (5)(4)(3)(2) = 120 codes that only use odd digits.
Therefore there are 5040 - 120 = 4920 codes that do not consist of all odd digits. The probability is 4920/5040 = 41/42.
The horizontal distance between the base of the ladder and the wall is: 11.8 foot
Perimeter: 26
Area: 32
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