Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
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here is your ans........option D.commodity money.......
Answer: D
Step-by-step explanation:
The given functions are
Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is
Option D) is the right answer
The expression to represent this would be (m-18)/k.
We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m. We then divide our result by k, the number of bracelets she made for her friends.
Answer: 990
Step-by-step explanation:
Because the club has 11 members, there are 11 ways to choose the president.
Because 1 person is now the president, there are only 10 people left who are candidates for vice-president. Therefore, there are only 10 ways to choose the vice-president.
Because 1 person is president and another is vice-president, out of those 11 members, there are now only 9 people who can be candidates for secretary. Therefore, there are 9 ways to choose the secretary.
Multiply the ways to choose a president, vice-president, and secretary out of 11 club members, and you get:
11 * 10 * 9 = 990 (ways)
