Answer:
Step-by-step explanation:
A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.
The dilation with the center of dilation at the origin and a scale factor of k has the rule
This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).
Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is
The discriminant of this equation is given by;
where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.
Simplify to get:
This implies that:
Take square root to get:
- Ana has the greater median
- Ana also has the greater mean.
Averagely, Ana practiced for a greater amount of time each day.
<h3>What is the Mean and Median of a Data Set?</h3>
- Mean = sum of data points / number of data points.
- Median = center/middle of the data distribution.
Mean for ana= (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6
Mean for tara= (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6
Median for ana= 70
Median for tara= (45 + 70)/2 = 57.5
Ana has the greater median and also has the greater mean.
Averagely, we can conclude that ana practiced for a greater amount of time each day.
Learn more about the mean and median of a data on:
brainly.com/question/19243813
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Answer:
work = force × distance
Therefore,
work = 3200N × 16m
= 51200J
So,
Power = Work done/ time taken
Therefore,
Power = 51200/30
= 1706.6 ~ 1707W
Hope it helps!