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Mandarinka [93]
4 years ago
7

A certain threethree​-cylinder combination lock has 6060 numbers on it. To open​ it, you turn to a number on the first​ cylinder

, then to a second number on the second​ cylinder, and then to a third number on the third cylinder and so on until a threethree​-number lock combination has been effected. Repetitions are​ allowed, and any of the 6060 numbers can be used at each step to form the combination.​ (a) How many different lock combinations are​ there? (b) What is the probability of guessing a lock combination on the first​ try?
Mathematics
1 answer:
MakcuM [25]4 years ago
6 0

Answer:

9,150,625.

Step-by-step explanation:

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Multiply total hours by 3600.

2.26 hours x 3600 = 8136 seconds.

The answer is D.

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3 years ago
I have a sum of 159, and difference of 3 .What are the 2 numbers?
Lemur [1.5K]
x+y=159\\
\underline{x-y=3}\\
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7 0
4 years ago
Find two consecutive ODD integers such that: The square of the larger is 120 more than the square of the smaller
BlackZzzverrR [31]

Answer: See explanation

Step-by-step explanation:

Le the number be x and x+2

The information given can be formed into and equation as:

(x + 2)² = x² + 120

(x + 2)(x + 2) = x² + 120

x² + 2x + 2x + 4 = x² + 120

Collect like terms

x² - x² + 2x + 2x = 120 - 4

4x = 116

x = 116/4

x = 29

The smallest number is 29

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6 0
3 years ago
(x + 2)2 + (y - 3)2 = 4
Lostsunrise [7]
Answer: x=3

Step by Step:
(x+2)2+(y-3)2=4
2x+4+(0-3)x2=4
2x+4-3x2=4
2x+4-6=0
2x=6
x=3
8 0
4 years ago
Solve 15-y>8 show working​
Mashcka [7]

Answer:

y <7

Step-by-step explanation:

15-y>8

Subtract 15 from each side

15-15-y>8-15

-y>-7

Multiply each side by -1, remembering to flip the inequality

-1 * -y > -7*-7

y <7

6 0
3 years ago
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