What property is shown in the following equation? 17 + 8 + 3 = 17 + 3 + 8
2 answers:
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The question is incomplete so I am writing the complete question below and attaching the scatter plot as well.
The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown
How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?
Answer:
4 people have an actual height that differs by more than 3 cm from the height predicted by the line of best fit.
Step-by-step explanation:
The question is asking us to identify which people have a height that is more than 3 cm greater or more than 3 cm less then the height predicted by the line of best fit. Hence, we need to look at the outliers of the line if best fit i.e. the points which do not lie on the line. We need to select the points that differ by 3 or more cm.
So, we can see that the first person (4 cm) has an actual height of 157 cm but the line of best fit shows the height is 161.5. So, there is a difference of more than 3 cm (161.5 - 157 = 4.5).
The second outlier at 4.3 has an actual height of 175 cm but the line of best fit shows a height of 167 cm. There is a difference of 8 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.
At 4.8 cm metacarpal bone height, the person's actual height is 172 cm but the graph shows a height of 176 cm hence this person also has an actual height which differs by more than 3 cm from the line of best fit.
At 4.9 cm on the x-axis, the person has an actual height of 183 cm but the line of best fit shows 178 cm so this person also has an actual height which differs by more than 3 cm from the line of best fit.
So, in total there are 4 people out of 9 whose heights differ by more than 3 cm from the line of best fit.
Answer:
-x-2; x2
Step-by-step explanation:
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-(x+2); x CAN'T equal 2, because the denominator of the original fraction would be 0, which would make the term undefined.
Answer:
The area of the shape is .
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is
The area of the second rectangle is
The area of a triangle is given by the formula where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is
Finally, add the areas of the simpler figures together to find the total area of the composite figure.