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Elenna [48]
3 years ago
8

PLEASE HELP! THANK YOU!

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

Option: B is correct.

( B.) The median is greater than the mean, and the majority of the data points are to the right of the mean ).

Step-by-step explanation:

With the help of the data:

the mean  is calculate as:

Mean=∑x×P_x

From the table we have:

   <u> x  </u>       P_x                     xP_x

    1            0.1                       0.1

    2          0.15                      0.3

    3           0.2                     0.6

    4           0.45                    1.8

     5          0.1                       0.5

                            ∑xP_x=3.3

Hence the Mean of the data is 3.3

Also the median is the central tendency of the data or the central value.

Also from the graph we could see that the majority of the data points are to the right of the mean.

Hence, Median will lie to the right of the mean.

Hence, option: B is correct.

( B.) The median is greater than the mean, and the majority of the data points are to the right of the mean )

     

Scrat [10]3 years ago
7 0
From the graph shown we can describe the distribution as follows:
Majority of the data points are to the right of the mean, this implies that the median is greater than the mean of the data, thus we can conclude that the correct answer is:
B] <span> The median is greater than the mean, and the majority of the data points are to the right of the mean.</span>
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8 0
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Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance be
zheka24 [161]
<h2>Hello!</h2>

The answer is:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

<h2>Why?</h2>

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

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x_{FirstCar}=x_o+v*t

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

x_{SecondCar}=x_o+(v+14mph)*t

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between them:

If the cars are moving towards each other the relative speed will be:

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Writing the equation, we have:

264miles=(2x+14mph)*t\\\\264miles=(2x+14mph)*2.75hours\\\\2x+14mph=\frac{264miles}{2.75hours}\\\\2x=96mph-14mph\\\\x=\frac{82mph}{2}=41mph

We have that the speed of the first car is equal to 41 mph.

Now, for the second car we have that:

SecondCarSpeed=FirstCarSpeed+14mph\\\\SecondCarSpeed=41mph+14mph=55mph

Hence, we have that:

FirstCarSpeed=41mph\\SecondCarSpeed=55mph

Have a nice day!

4 0
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