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Elan Coil [88]
3 years ago
12

In 2008, Scott Dixon won the Indianapolis 500, completing 500 laps in approximately 3.5 hours. Approximately how long did it tak

e for him to complete 1 lap?
Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

0.007 hour or 25.2 seconds

Step-by-step explanation:

From the question, we are told that for Scott Dixon,he completed

500 laps in approximately = 3.5 hours. 1 lap approximately =

Cross Multiply

= 1 lap × 3.5 hours = 500 laps × a hours

a hours = 1 lap × 3.5 hours/500 laps

a hours = 0.007hours

We can convert 0.007 hours to seconds

60 seconds = 1 minute

60 minutes = 1 hour

1 hour = 60 × 60

= 3600 seconds

1 hour = 3600 seconds

0.007 hour =

0.007 hour × 3600 seconds

= 25.2 seconds

Therefore, it took Dixon approximately 0.007 hour or 25.2 seconds did it take for him to complete 1 lap

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) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
17. The area of a rectangular sandbox is 8x2 + 18x + 9. If one of it's dimensions is (2x + 3), what is the other
Natasha2012 [34]

Answer:

The other dimension of the sandbox must be (4x+3).

Hope this helps! Have a good day!

6 0
2 years ago
H(j + i) - k5 + h<br> when h = 3, i = 4, j = 2, and k = 1<br> pls put how you did it
VikaD [51]

Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

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After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

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16

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What multiplies to 24 but adds to 23
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1 and negative 24 is the answer
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