What percentage of ACT composite scores are below 31? Recall the following: For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2. Z-Table Page 1 Z-Table z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.40.0003 0.0003 0.00030.0003 0.0003 0.0003 0.0003 0.0003 0.00030.0002 -3.30.00050.00050.00050.00040.00040.00040.00040.00040.00040.0003 -3.20.00070.00070.00060.00060.0006 0.00060.00060.00050.00050.0005 -3.10.00100.0009 0.00090.00090.0008 0.00080.0008 0.0008 0.00070.0007 -3.00.00130.00130.00130.00120.00120.00110.00110.00110.00100.0010 -2.90.00190.00180.00180.00170.00160.00160.00150.00150.00140.0014 -2.80.00260.00250.00240.00230.0023 0.0022 0.00210.00210.00200.0019 -2.70.00350.00340.00330.0032 0.00310.00300.00290.00280.00270.0026 -2.60.00470.00450.00440.00430.00410.00400.00390.00380.00370.0036 -2.50.00620.00600.00590.00570.0055 0.00540.00520.00510.00490.0048 -2.40.00820.00800.00780.00750.00730.00710.00690.00680.00660.0064 -2.30.01070.01040.01020.00990.00960.00940.00910.00890.00870.0084 -2.20.01390.01360.01320.01290.01250.01220.01190.01160.01130.0110 -2.10.01790.01740.01700.01660.01620.01580.01540.01500.01460.0143 -2.00.02280.02220.02170.02120.02070.02020.01970.01920.01880.0183 -1.90.02870.02810.02740.02680.02620.02560.02500.02440.02390.0233 1.80.03590.03510.03440.03360.03290.03220.03140.0307/0.03010.0294 -1.70.04460.0436 0.04270.04180.04090.04010.03920.03840.03750.0367 -1.60.05480.05370.05260.05160.05050.04950.04850.04750.04650.0455 -1.50.06680.06550.06430.06300.06180.06060.05940.05820.05710.0559 -1.40.08080.07930.07780.07640.07490.07350.07210.07080.06940.0681 -1.30.09680.09510.09340.09180.09010.08850.08690.08530.08380.0823 -1.20.11510.11310.11120.10930.10750.10560.10380.10200.10030.0985 -1.10.13570.13350.13140.12920.1271 0.12510.12300.12100.11900.1170 -1.00.15870.15620.15390.15150.14920.14690.14460.14230.14010.1379 -0.90.18410.18140.17880.17620.17360.17110.1685 0.16600.16350.1611 -0.80.21190.2090 0.20610.20330.20050.19770.19490.19220.18940.1867 -0.70.24200.23890.23580.23270.22960.22660.22360.22060.21770.2148 -0.60.27430.27090.26760.26430.26110.25780.25460.25140.24830.2451 -0.50.30850.3050 0.30150.29810.29460.29120.2877 0.28430.28100.2776 -0.40.34460.3409 0.33720.33360.33000.32640.32280.31920.31560.3121 -0.30.38210.37830.37450.37070.36690.36320.35940.35570.35200.3483 -0.20.42070.41680.41290.40900.40520.40130.39740.39360.38970.3859 -0.10.46020.45620.45220.44830.44430.44040.43640.43250.42860.4247 0.0 0.50000.4960l0.49200.48800.48400.48010.47610.47210.46810.4641

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What percentage of ACT composite scores are below 31?
Recall the following:
For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2.
Z-Table Page 1
Z-Table
z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
-3.40.0003 0.0003 0.00030.0003 0.0003 0.0003 0.0003 0.0003 0.00030.0002
-3.30.00050.00050.00050.00040.00040.00040.00040.00040.00040.0003
-3.20.00070.00070.00060.00060.0006 0.00060.00060.00050.00050.0005
-3.10.00100.0009 0.00090.00090.0008 0.00080.0008 0.0008 0.00070.0007
-3.00.00130.00130.00130.00120.00120.00110.00110.00110.00100.0010
-2.90.00190.00180.00180.00170.00160.00160.00150.00150.00140.0014
-2.80.00260.00250.00240.00230.0023 0.0022 0.00210.00210.00200.0019
-2.70.00350.00340.00330.0032 0.00310.00300.00290.00280.00270.0026
-2.60.00470.00450.00440.00430.00410.00400.00390.00380.00370.0036
-2.50.00620.00600.00590.00570.0055 0.00540.00520.00510.00490.0048
-2.40.00820.00800.00780.00750.00730.00710.00690.00680.00660.0064
-2.30.01070.01040.01020.00990.00960.00940.00910.00890.00870.0084
-2.20.01390.01360.01320.01290.01250.01220.01190.01160.01130.0110
-2.10.01790.01740.01700.01660.01620.01580.01540.01500.01460.0143
-2.00.02280.02220.02170.02120.02070.02020.01970.01920.01880.0183
-1.90.02870.02810.02740.02680.02620.02560.02500.02440.02390.0233
1.80.03590.03510.03440.03360.03290.03220.03140.0307/0.03010.0294
-1.70.04460.0436 0.04270.04180.04090.04010.03920.03840.03750.0367
-1.60.05480.05370.05260.05160.05050.04950.04850.04750.04650.0455
-1.50.06680.06550.06430.06300.06180.06060.05940.05820.05710.0559
-1.40.08080.07930.07780.07640.07490.07350.07210.07080.06940.0681
-1.30.09680.09510.09340.09180.09010.08850.08690.08530.08380.0823
-1.20.11510.11310.11120.10930.10750.10560.10380.10200.10030.0985
-1.10.13570.13350.13140.12920.1271 0.12510.12300.12100.11900.1170
-1.00.15870.15620.15390.15150.14920.14690.14460.14230.14010.1379
-0.90.18410.18140.17880.17620.17360.17110.1685 0.16600.16350.1611
-0.80.21190.2090 0.20610.20330.20050.19770.19490.19220.18940.1867
-0.70.24200.23890.23580.23270.22960.22660.22360.22060.21770.2148
-0.60.27430.27090.26760.26430.26110.25780.25460.25140.24830.2451
-0.50.30850.3050 0.30150.29810.29460.29120.2877 0.28430.28100.2776
-0.40.34460.3409 0.33720.33360.33000.32640.32280.31920.31560.3121
-0.30.38210.37830.37450.37070.36690.36320.35940.35570.35200.3483
-0.20.42070.41680.41290.40900.40520.40130.39740.39360.38970.3859
-0.10.46020.45620.45220.44830.44430.44040.43640.43250.42860.4247
0.0 0.50000.4960l0.49200.48800.48400.48010.47610.47210.46810.4641
Transcribed Image Text:What percentage of ACT composite scores are below 31? Recall the following: For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2. Z-Table Page 1 Z-Table z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.40.0003 0.0003 0.00030.0003 0.0003 0.0003 0.0003 0.0003 0.00030.0002 -3.30.00050.00050.00050.00040.00040.00040.00040.00040.00040.0003 -3.20.00070.00070.00060.00060.0006 0.00060.00060.00050.00050.0005 -3.10.00100.0009 0.00090.00090.0008 0.00080.0008 0.0008 0.00070.0007 -3.00.00130.00130.00130.00120.00120.00110.00110.00110.00100.0010 -2.90.00190.00180.00180.00170.00160.00160.00150.00150.00140.0014 -2.80.00260.00250.00240.00230.0023 0.0022 0.00210.00210.00200.0019 -2.70.00350.00340.00330.0032 0.00310.00300.00290.00280.00270.0026 -2.60.00470.00450.00440.00430.00410.00400.00390.00380.00370.0036 -2.50.00620.00600.00590.00570.0055 0.00540.00520.00510.00490.0048 -2.40.00820.00800.00780.00750.00730.00710.00690.00680.00660.0064 -2.30.01070.01040.01020.00990.00960.00940.00910.00890.00870.0084 -2.20.01390.01360.01320.01290.01250.01220.01190.01160.01130.0110 -2.10.01790.01740.01700.01660.01620.01580.01540.01500.01460.0143 -2.00.02280.02220.02170.02120.02070.02020.01970.01920.01880.0183 -1.90.02870.02810.02740.02680.02620.02560.02500.02440.02390.0233 1.80.03590.03510.03440.03360.03290.03220.03140.0307/0.03010.0294 -1.70.04460.0436 0.04270.04180.04090.04010.03920.03840.03750.0367 -1.60.05480.05370.05260.05160.05050.04950.04850.04750.04650.0455 -1.50.06680.06550.06430.06300.06180.06060.05940.05820.05710.0559 -1.40.08080.07930.07780.07640.07490.07350.07210.07080.06940.0681 -1.30.09680.09510.09340.09180.09010.08850.08690.08530.08380.0823 -1.20.11510.11310.11120.10930.10750.10560.10380.10200.10030.0985 -1.10.13570.13350.13140.12920.1271 0.12510.12300.12100.11900.1170 -1.00.15870.15620.15390.15150.14920.14690.14460.14230.14010.1379 -0.90.18410.18140.17880.17620.17360.17110.1685 0.16600.16350.1611 -0.80.21190.2090 0.20610.20330.20050.19770.19490.19220.18940.1867 -0.70.24200.23890.23580.23270.22960.22660.22360.22060.21770.2148 -0.60.27430.27090.26760.26430.26110.25780.25460.25140.24830.2451 -0.50.30850.3050 0.30150.29810.29460.29120.2877 0.28430.28100.2776 -0.40.34460.3409 0.33720.33360.33000.32640.32280.31920.31560.3121 -0.30.38210.37830.37450.37070.36690.36320.35940.35570.35200.3483 -0.20.42070.41680.41290.40900.40520.40130.39740.39360.38970.3859 -0.10.46020.45620.45220.44830.44430.44040.43640.43250.42860.4247 0.0 0.50000.4960l0.49200.48800.48400.48010.47610.47210.46810.4641
A
B
с
D
37.45%
84.85%
23.89%
97.26%
Transcribed Image Text:A B с D 37.45% 84.85% 23.89% 97.26%
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