0.4763 is the answer I got
By the rule of 3 simple:
53/100 = x/113100
x = 53*113100/100 = 59943
Without replacement 26*25*24*23*22
with replacement 26^5
It is convenient to do part b first, then use that result to do part a.
b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):
(a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.
a. Using the result from part b, the midpoint is
midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
midpoint = (4, 5)
Answer:
Step-by-step explanation:
19 - you would divide number of beads by beads per bracelet to get number of bracelets
blue = 258/6 = 43
silver = 428/9 = 47.56, round down because we're looking at complete bracelets = 47
rose = 102/3 = 34
white = 258/7 =36.86, round down again = 36
20 - they can make 43 + 47 + 34 + 36 = 160 bracelets before they run out, and they will run out of rose first since it has the smallest number of bracelets
21 - multiply num of beads by num of bracelets for each color and add them up
blue = 6 * 7 = 42
silver = 9 * 7 = 63
rose = 3 * 7 = 21
white = 7 * 7 = 49
42 + 63 + 21 + 49 = 175
