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nata0808 [166]
3 years ago
8

The dot plot below shows the number of dogs in neighborhood houses: A dot plot with integers 1 to 5 is shown. It is labeled Dogs

, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. Which of the following statements best describes the shape of the data? It is symmetric and has a peak at 1. It is symmetric and has a peak at 4. It is not symmetric and has a peak at 1. It is not symmetric and has a peak at 4.

Mathematics
2 answers:
RUDIKE [14]3 years ago
4 0
It is not symmetric because it has a peak at 1 and to be symmetric it has to be the same on both sides of the peak
drek231 [11]3 years ago
3 0

Answer:

The correct statement is:

It is not symmetric and has a peak at 1.

Step-by-step explanation:

We may make a dot plot based on the given information.

The dot plot is attached to the answer.

We may clearly observe that the dot plot is not symmetric since, there is no such point such that the plot to its left and right are equal.

Also,the frequency corresponding to '1' is highest (i.e. there are 4 dots above 1)

Hence, the peak of the dot plot is at '1'.

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Suppose h(t)=-0.2t squared +2t models the height in feet of ball that is kicked into the air where t is given as time in seconds
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To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero. 
                                 h(t) = -0.2t² + 2t
Differentiating,
                               dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
                                   h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds. 

Answers: maximum height = 5 ft 
                  time it will reach the ground = 10 s
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1. The answer is A.

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