MATH HELP PLEASE!!!
1 answer:
(1) The stem and leaf plot is a table organized by the first few (stem) digits with leaves (the rest digits) listed in corresponding rows. The solution depend on how your teacher expects stems to be defined (how many digits). Here's a link describing how to construct them. It is fairly straight-forward. https://www.mathsisfun.com/data/stem-leaf-plots.html
(2) the distribution (see image) is not really strictly symmetric. so I would choose (B)
(3) the distribution (see 2nd image) might be seen as "roughly normal" especially looking at the available options, choice (C) is the only plausible.
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Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = = 3
this is shown in graph b