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san4es73 [151]
3 years ago
14

A motorist traveled 6km in 30 mins

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

6km in 30 min so he traveled at a speed of 12km per hour;

In 2 hours he will travel 24km;

12km in 60 min

9km in ? min

?=9x60/12=45 minutes will take to travel 9 km at the speed of 12km/h

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Step-by-step explanation:

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There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
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Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

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   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

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b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

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    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

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An amount of 40.000 is borrowed for 6 years at 5% interest, compounded annually If the loan is paid in full at the end of that p
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A plane leaves chicago and flies 750 miles to new york.
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Answer:

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Remember  that CH=x

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tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

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6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

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