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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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no

Step-by-step explanation:

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3 years ago
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See attached scatter plot

this does not show a linear pattern

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3 years ago
An object with a mass of 3.0 g raises the level of water in a graduated cylinder from 25.1 mL to 33.1 mL. What is the density of
evablogger [386]
The displaced volume of the water, because of the submersion of the object, is equal to the volume of the object.

So to find the volume of the object we calculate the difference in volume of water:
33.1-25.1 = 8 ml

Since 1 mL of water has the volume of  1cm^3, then the volume of the object is 8 cm^3.


The density of the object is found by the formula:

density= mass/volume= (3 g) / (8 cm^3) = 3/8 (g/cm^3)= 0.375 g/cm^3


Answer: 0.375 g/cm^3
7 0
3 years ago
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5
topjm [15]

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

6 0
3 years ago
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