When 545,999 is rounded to the closest hundred thousand, it becomes 546,000.
In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!
The vertex of the graph for the function g(x) = (x- 3)^2 + 9 is located 3 units to the right and 9 units upwards compared to the vertex of the function f(x) = x^2.
Part A:
The probability that all three strangers have their birthdays on a Wednesday is calculated as

Part B:
The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as

Part C:
The probability that none of the three have their birthdays on a Saturday is determined by
<span>The distribution of a data set is indicated by the standard deviation, and the range can serve as an estimate for this characteristic. Consequently, Set b (100, 140, 150, 160, 200, 10, 50, 60, 70, 110) exhibits the greatest standard deviation due to its 190 range (i.e., 200 - 10).</span>