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DENIUS [597]
3 years ago
13

Bryan completed a 100-meter race in 11.74 seconds. Luis completed the same race in 11.69 seconds. What was the difference betwee

n their times, expressed as a fraction of a second?
Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:

\frac{1}{20} of a second

Step-by-step explanation:

We can convert each time into fractions.

11.74 is the same thing as 11 \frac{74}{100}

and 11.69 is the same thing as 11 \frac{69}{100}.

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract \frac{69}{100} from \frac{74}{100}.

\frac{74}{100} - \frac{69}{100} = \frac{5}{100}.

We can now simplify \frac{5}{100} by dividing both the numerator and denominator by 5.

\frac{5\div5}{100\div5}  = \frac{1}{20}.

Hope this helped!

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Chapter 3 – Numerically Summarizing Data 1. Section 3.1 Measures of Central Tendency pH in Water: The acidity of alkalinity of a
vladimir2022 [97]

Answer with Step-by-step explanation:

For the tap water the observations are summarized as below:

<u>Tap water sample:</u>

\bar{pH}_{tap}=\frac{\sum_{i=1}^{N}x_i}{N}

where

x_i is the i^{th} observation

'N' is the total number of observations

Applying the given values we get

\bar{pH}=\frac{7.64+7.45+7.47+7.50+7.68+7.69+7.45+7.10+7.56+7.47+7.52+7.47}{12}\\\\\bar{pH}_{tap}=7.5

To obtain the median of the given data arranging the given data in ascending order we get

7.10, 7.45,7.45, 7.47,7.47,7.47,7.50, 7.52, 7.56,7.64, 7.68,7.69

since the data is even thus the median of the given data is Median=\frac{7.47+7.50}{2}=7.485

Mode of the data is the value that occurs most frequently thus for the given data mode is 7.47

Part b)

<u>Bottled water sample:</u>

\bar{pH}_{bottled}=\frac{5.15+ 5.09+ 5.26+ 5.20+ 5.02+ 5.23+ 5.28+ 5.26+ 5.13+ 5.26+ 5.21+ 5.24}{12}\\\\\bar{pH}_{bottle}=5.194

To obtain the median of the given data arranging the given data in ascending order we get

5.02, 5.09,5.13, 5.15,5.20,5.21,5.23, 5.24, 5.26,5.26, 5.26,5.28

since the data is even thus the median of the given data is Median=\frac{5.21+5.23}{2}=5.422

Mode of the data is the value that occurs most frequently thus for the given data mode is 5.26

Part c)

If the 7.10 water measurement is taken incorrectly as 1.70 the mean changes to

\bar{pH}=\frac{7.64+7.45+7.47+7.50+7.68+7.69+7.45+1.70+7.56+7.47+7.52+7.47}{12}\\\\\bar{pH}_{tap}=7.05

 

5 0
4 years ago
2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the inves
Shkiper50 [21]

Answer:

B 20 Hours

Step-by-step explanation:

8 0
4 years ago
The product of two consecutive numbers exceeds the square
Lyrx [107]

Answer:

20,21

Step-by-step explanation:

Let x be the first number.

Let y be the 2nd number.

Given y - x = 1 (since they are consecutive)

Rearrange it: y = x+1 (equation 1)

Also given:

xy-20=x^{2} (equation 2)

Now we can substitute y = x + 1 into equation 2.

x(x+1)-20 = x^{2} \\x^{2} +x-20 = x^{2} \\x-20=x^{2} -x^{2} \\x-20=0\\x=20

Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.

y = 20+1

= 21.

Therefore the 2 numbers are 20 and 21.

8 0
2 years ago
Exercise 2.1 ..
padilas [110]

Answer:

Hi how are you doing today Jasmine

5 0
3 years ago
What is 5(7x + 8y) and how do you do it?
Bogdan [553]

Answer:

35*5x + 40 * 5x = 5x(40+35)= 5x(75)

Step-by-step explanation:

You can use the distributive property and you will get 5x(75)

5 0
4 years ago
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