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The critical value for a 0.02 level of significance, denoted as α = 0.02, in a statistical test corresponds to the point on a distribution that separates the critical region (rejection region) from the non-critical region. To find the critical value, you would consult a statistical table or use a statistical calculator based on the specific test you are conducting (e.g., z-table, t-table, chi-square table). The critical value is chosen based on the desired level of significance, which represents the probability of rejecting the null hypothesis when it is actually true.

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How many 3 digit numbers have the sum of their digits equal to 5?

**If you mean how many ways three 3-digit numbers can add up to 005, the answer depends on whether the order of the numbers matters to you: • There are 21 unique equations if the order matters (e.g., counting 001 + 002 + 002 as different from 002 + 002 + 001). • There are 5 basic combinations if the order does not matter (just looking at the groups of numbers used). Here are the complete lists for both ways of looking at it: The 5 Combinations (Order Doesn't Matter) If you only care about which sets of three numbers can add up to 5, there are exactly 5 combinations: 000 + 000 + 005 = 005 000 + 001 + 004 = 005 000 + 002 + 003 = 005 001 + 001 + 003 = 005 001 + 002 + 002 = 005 (Your example) The 21 Equations (Order Matters) If switching the position of the numbers counts as a new equation, and 000 counts as a 3 digit number those 5 combinations expand into 21 variations: Using 0, 0, and 5: • 000 + 000 + 005 = 005 • 000 + 005 + 000 = 005 • 005 + 000 + 000 = 005 Using 0, 1, and 4: • 000 + 001 + 004 = 005 • 000 + 004 + 001 = 005 • 001 + 000 + 004 = 005 • 001 + 004 + 000 = 005 • 004 + 000 + 001 = 005 • 004 + 001 + 000 = 005 Using 0, 2, and 3: • 000 + 002 + 003 = 005 • 000 + 003 + 002 = 005 • 002 + 000 + 003 = 005 • 002 + 003 + 000 = 005 • 003 + 000 + 002 = 005 • 003 + 002 + 000 = 005 Using 1, 1, and 3: • 001 + 001 + 003 = 005 • 001 + 003 + 001 = 005 • 003 + 001 + 001 = 005 Using 1, 2, and 2: • 001 + 002 + 002 = 005 • 002 + 001 + 002 = 005 • 002 + 002 + 001 = 005** SIMPLY AND DIRECTLY I ORGANIZED NUMBERS LOW TO HIGH. FOR UNDERSTANDING MADE EASY! **If you mean how many ways three 3-digit numbers can add up to 005, the answer depends on whether the order of the numbers matters to you: • There are 21 unique equations if the order matters (e.g., counting 001 + 002 + 002 as different from 002 + 002 + 001). • There are 5 basic combinations if the order does not matter (just looking at the groups of numbers used). Here are the complete lists for both ways of looking at it: The 5 Combinations (Order Doesn't Matter) If you only care about which sets of three numbers can add up to 5, there are exactly 5 combinations: 000 + 000 + 005 = 005 000 + 001 + 004 = 005 000 + 002 + 003 = 005 001 + 001 + 003 = 005 001 + 002 + 002 = 005 (Your example) The 21 Equations (Order Matters) If switching the position of the numbers counts as a new equation, and 000 counts as a 3 digit number those 5 combinations expand into 21 variations: Using 0, 0, and 5: • 000 + 000 + 005 = 005 • 000 + 005 + 000 = 005 • 005 + 000 + 000 = 005 Using 0, 1, and 4: • 000 + 001 + 004 = 005 • 000 + 004 + 001 = 005 • 001 + 000 + 004 = 005 • 001 + 004 + 000 = 005 • 004 + 000 + 001 = 005 • 004 + 001 + 000 = 005 Using 0, 2, and 3: • 000 + 002 + 003 = 005 • 000 + 003 + 002 = 005 • 002 + 000 + 003 = 005 • 002 + 003 + 000 = 005 • 003 + 000 + 002 = 005 • 003 + 002 + 000 = 005 Using 1, 1, and 3: • 001 + 001 + 003 = 005 • 001 + 003 + 001 = 005 • 003 + 001 + 001 = 005 Using 1, 2, and 2: • 001 + 002 + 002 = 005 • 002 + 001 + 002 = 005 • 002 + 002 + 001 = 005**


How many strings of three decimal digits do not contain the same digit three times?

Probably 990, depending on the rules. Fun question, but there is more than one answer depending on the rules. If the first digit can be zero, and if you can accept 001, 002, etcetera as answers, then you have 10 choices for the first digit, 10 choices for the second digit, and 10 choices for the third digit. But, you have to subtract the ten occurrences when all three digits match (000, 111, 222, 333, etc.) 10 x 10 x 10 - 10 = 990.


List of combinations for 3 wheel lock with digits 0 to 9?

A 3-wheel lock with each wheel having digits from 0 to 9 means each wheel can have 10 possible values (0 through 9). To find the total number of combinations, you calculate: 10 x 10 x 10 = 1000 So, there are 1000 possible combinations. Here's a list of all combinations from 000 to 999: 000, 001, 002, 003, 004, 005, 006, 007, 008, 009, 010, 011, 012, 013, 014, 015, 016, 017, 018, 019, 020, 021, 022, 023, 024, 025, 026, 027, 028, 029, 030, 031, 032, 033, 034, 035, 036, 037, 038, 039, 040, 041, 042, 043, 044, 045, 046, 047, 048, 049, 050, 051, 052, 053, 054, 055, 056, 057, 058, 059, 060, 061, 062, 063, 064, 065, 066, 067, 068, 069, 070, 071, 072, 073, 074, 075, 076, 077, 078, 079, 080, 081, 082, 083, 084, 085, 086, 087, 088, 089, 090, 091, 092, 093, 094, 095, 096, 097, 098, 099, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999