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MariettaO [177]
2 years ago
9

Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (PLESES SHOW WORK

)
Mathematics
1 answer:
elixir [45]2 years ago
6 0

Answer:

Jeff finished first

Step-by-step explanation:

To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes

<u><em>CONVERT 2 MINUTES 2 SECONDS TO SECONDS</em></u>

60 seconds = 1 minutes

to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it

2 x 60 = 120 seconds

120 seconds + 2 seconds = 122 seconds

Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first

<u><em>CONVERT 121 SECONDS TO MINUTES</em></u>

60 seconds = 1 minutes

To convert 121 seconds to minutes, we have to divide by 60

121/60 = 2 minutes 1 second

Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first

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Matthew is making a sequence in which -3 is added to each successive term. The 6th term in his sequence is -1. What is the 1st t
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The first term is 14.

Step-by-step explanation:

The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference.  Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1).  The first term is 14.



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Recall that a 6-bit string is a bit strings of length 6, and a bit string of weight 3, say, is one with exactly three 1's. How m
strojnjashka [21]

Answer:

1.. Total number of 6 bit strings is 64

2. Number of 6-bit strings with weight of 0 is 1

3. Number of 6-bit strings with weight of 1 is 6

4. Number of 6-bit strings with weight of 3 is 20

5. Number of 6-bit strings with weight of 5 is 6

6. Number of 6-bit strings with weight of 6 is 1

7. Number of 6-bit strings with weight of 7 is 0

Step-by-step explanation:

A bit string is a string that contains 0 and 1 only

1. Total number of 6 bit strings is 2^6 = 64

2. Number of 6 bit strings with weight 0 is 1

Explanation

Weight 0 means a string with no occurrence of 1

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 0 i.e. no occurrence of 1

6C0 = 6!/(6-0)!0!

6C0 = 6!/6!0!

6C0 = 1

Hence, the number of string with weight 0 (i.e. no occurrence of 1 ) is 1

3. Number of string with weight 1 is 6

Explanation

Weight 0 means a string with exactly 1 occurrence of '1'

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 1

6C1 = 6!/(6-1)!1!

6C1 = 6!/5!1!

6C1 = 6

Hence, the number of string with weight 6

4. Number of string with weight 3 is 20

Explanation

n = 6 and r = 3

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 20

Hence, the number of string with weight 3 is 20

5. Number of string with weight 5 is 6

Explanation

n = 6 and r = 5

6C5 = 6!/(6-5)!5!

6C5 = 6!/1!5!

6C5 = 6

Hence, the number of string with weight 5 is 6

6. Number of string with weight 6 is 1

Explanation

n = 6 and r = 6

6C6 = 6!/(6-6)!6!

6C6 = 6!/0!6!

6C6 = 1

Hence, the number of string with weight 6 is 1

7. Number of string with weight 7 is 0

Weight of 7 means that a string that has 7 occurrence of 1

The total length of a 6 bit is 6

Since 6 is less than 7, there's no way a bit of weight 7 can occur.

So, the right answer for this is 0.

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