Refer to the following information from a frequency distribution for "heights of college women" recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5". what are the class limits for the third class? select one: a. 66 and 68 b. 64 and up to 67 c. 67 and up to 70 d. 67 and 69

Option C 67 upto 70

Step-by-step explanation:

Given that heights of college women" recorded to the nearest inch: the first two class midpoints are 62.5" and 65.5".

This explains that each class width=Difference between mid values of successive classes

Also next class will have midvalue as

So next class has mid value as 68.5 and width as 3

i.e. 1.5 each side should be given

So class interval =

Option c

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: