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sergij07 [2.7K]
3 years ago
6

At noon, Trevor and Kim start running from the same point. Trevor runs east at a speed of 5 mph and Kim runs west at a speed of

3 mph. At what time will they be 12 miles apart?
Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
They will be 12 miles apart a 2:30 pm, Trevor runs at a speed of 5 miles per hour, which they both start at noon which means, roughly in 12 miles it will be 2:30pm.  
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zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x     f(x)

0-3 13

4-7  13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x     f(x)

1.5 13

5.5  13

9.5 10

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17.5 0

21.5 3

Start by calculating the mean using:

\bar x = \frac{\sum fx}{\sum f}

This gives

\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}

Evaluate

\bar x = 7.98

The standard deviation is then calculated as:

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}

So, we have:

\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13  * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}

Evaluate

\sigma= \sqrt{30.6496}

Solve

\sigma= 5.54

Hence, the standard deviation is 5.54

Read more about standard deviation at:

brainly.com/question/15858152

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7 0
1 year ago
PLEASEE HELPP ANYONE
amid [387]
Easy
just find the slope between those 2 points
f(-6)=6
f(-3)=0

slope=rise/run=-6/3=-2
slope is -2
A is answer
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Answer:triangles 20 12 28 and15 9 21

Step-by-step explanation:

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