Flextime scheduling is often offered to help recruit and keep women employees who have children at home. Other workers sometimes view these flextime schedules as unfair. An article indicates that 25% of male employees state that they have to pick up the slack for moms working flextime schedules. A random sample is selected of 100 male employees working for companies offering flextime. Use the normal distribution approximation to complete parts​ (a) through​ (d).   d. If a random sample of 500 is​ taken, how does this change the answers to​ (a) through​ (c)? What is the probability that 24​% or fewer male employees will indicate that they have to pick up the slack for moms working​ flextime?   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 5 What is the probability that between 20​% and 30​% of male employees will indicate that they have to pick up the slack for moms working​ flextime?   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 6 What is the probability that between 30​% and 33​% of male employees will indicate that they have to pick up the slack for moms working​ flextime?   The probability is enter your response here. ​(Round to four decimal places as​ needed.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Related questions
Question
Flextime scheduling is often offered to help recruit and keep women employees who have children at home. Other workers sometimes view these flextime schedules as unfair. An article indicates that
25%
of male employees state that they have to pick up the slack for moms working flextime schedules. A random sample is selected of
100
male employees working for companies offering flextime. Use the normal distribution approximation to complete parts​ (a) through​ (d).
 
d. If a random sample of
500
is​ taken, how does this change the answers to​ (a) through​ (c)? What is the probability that
24​%
or fewer male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 5
What is the probability that between
20​%
and
30​%
of male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 6
What is the probability that between
30​%
and
33​%
of male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Cumulative Probabilities
0.00
0.01
0.02
0.03
0.04
0.06
007
0.09
0.5000
0.5398
0.0
0.5040
0.5080
0.5120
0.5160
Previous questioh
0.5596
0.5279
0.5319
0.5714
0.5359
0.1
0.5438
0.5478
0.5517
0.5557
0.5636
0.5675
0.5753
0.5948
0.6331
0.2
0.5793
0.5832
0.5871
0.5910
0.5987
0.6026
0.6064
0.6103
0.6141
0.3
0.6179
0.6217
0.6255
0.6293
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6554
0.6591
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6950
0.6985
0.7019
0.7054
0.7088
0.7123
0.7I57
0.7190
0.7224
0.7257
0.7580
0.6
0.7291
0.7324
0.7357
0.7389
0.7422
0.7734
0.7454
0.7486
0.7518
0.7549
0.7
0.7612
0.7642
0.7673
0.7704
0.7764
0.7794
0.7823
0.7852
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8078
0.8106
0.8133
0.8159
0.8365
0.8599
0.9
0.8186
0.8212
0.8238
0.8264
0.8289
0.8315
0.8340
0.8389
1.0
0.8413
0.8438
0.8461
0.8485
0.8508
O.8531
0.8554
0.8577
0.8621
1.1
0.8643
0.8665
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.8830
1.2
0.8907
0.8925
0.8962
09131
0.8849
0.8869
0.8888
0.8944
0.8980
0.8997
0.9015
1.3
0.9032
0.9049
0.9066
0.9082
0.9099
0.9115
0.9147
0.9162
0.9177
1.4
0.9265
0.9192
0.9332
0.9207
0.9222
0.9236
0.9251
0.9279
0.9292
0.9306
0.9319
0.9345
0.9463
0.9382
0.9495
1.5
0.9357
0.9370
0.9394
0.9406
0.9418
0.9429
0.9441
1.6
0.9452
0.9474
0.9484
0.9505
0.9515
0.9525
0.9535
0.9545
1.7
0.9554
0.9564
0.9573
0.9582
0.9591
0.9599
0.9608
0.9616
0.9625
0.9633
1.8
0.9641
0.9649
0.9656
0.9664
0.9671
0.9678
0.9686
0.9693
0.9699
0.9706
0.9767
0.9817
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
0.9744
0.9750
0.9756
0.9761
0.9798
0.9842
0.9878
2.0
0.9772
0.9778
0.9783
0.9788
0.9793
0.9803
0.9808
0.9830
0.9868
0.9812
0.9854
0.9887
2.1
0.9821
0.9826
0.9834
0.9838
0.9846
0.9850
0.9857
2.2
0.9861
0.9864
0.9871
0.9875
0.9881
0.9884
0.9890
2.3
0.9893
0.9896
0.9898
0.9901
0.9904
0.9906
0.9909
0.9911
0.9913
0.9916
0.9927
0.9945
0.9959
2.4
0.9918
0.9920
0.9922
0.9925
0.9929
0.9931
0.9932
0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9946
0.9948
0.9949
0.9951
0.9952
0.9963
0.9973
2.6
0.9953
0.9955
0.9956
0.9957
0.9960
0.9961
0.9962
0.9964
0.9967
0.9976
2.7
0.9965
0.9966
0.9968
0.9969
0.9970
0.9971
0.9972
0.9974
0.9975
0.9982
0.9979
0.9985
2.8
0.9974
0.9977
0.9977
0.9978
0.9979
0.9980
0.9981
2.9
0.9981
0.9982
0.9983
0.9984
0.9984
0.9985
0.9986
0.9986
3.0
0.99865
0.99869
0.99874
0.99878
0.99882
0.99886
0.99889
0.99893
0.99897
0.99900
3.1
0.99903
0.99906
0.99910
0.99913
0.99916
0.99918
0.99921
0.99924
0.99926
0.99929
0.99934
0.99953
0.99968
0.99942
0.99960
3.2
0.99931
0.99936
0.99938
0.99940
0.99958
0.99944
0.99946
0.99948
0.99950
3.3
0.99952
0.99955
0.99957
0.99961
0.99962
0.99964
0.99965
34
0.99966
0.99969
0.99970
0.99971
0.99972
0.99973
0.99974
0.99975
0.99976
3.5
0.99977
0.99978
0.99978
0.99979
0.99980
0.99982
0.99983
0.99981
0.99987
0.99981
0.99987
0.99983
3.6
0.99984
0.99985
0.99985
0.99986
0.99986
0.99988
0.99988
0.99989
0.99992
0.99992
0.99995
3.7
0.99989
0.99990
0.99990
0.99990
0.99991
0.99991
0.99992
0.99992
0.99993
0.99995
3.8
0.99993
0.99993
0.99996
0.99994
0.99994
0.99994
0.99994
0.99995
0.99995
3.9
0.99995
0.99996
0.99996
0.99996
0.99996
0.99996
0.99997
0.99997
4.0
0.999968329
4.5
0.999996602
5.0
0.999999713
5.5
0.99999998I
6.0
0.999999999
0.00
0.01
0.02
0.03
0.04
0.05
0.06
007
0.09
Transcribed Image Text:Cumulative Probabilities 0.00 0.01 0.02 0.03 0.04 0.06 007 0.09 0.5000 0.5398 0.0 0.5040 0.5080 0.5120 0.5160 Previous questioh 0.5596 0.5279 0.5319 0.5714 0.5359 0.1 0.5438 0.5478 0.5517 0.5557 0.5636 0.5675 0.5753 0.5948 0.6331 0.2 0.5793 0.5832 0.5871 0.5910 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7I57 0.7190 0.7224 0.7257 0.7580 0.6 0.7291 0.7324 0.7357 0.7389 0.7422 0.7734 0.7454 0.7486 0.7518 0.7549 0.7 0.7612 0.7642 0.7673 0.7704 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8159 0.8365 0.8599 0.9 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 O.8531 0.8554 0.8577 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8907 0.8925 0.8962 09131 0.8849 0.8869 0.8888 0.8944 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9147 0.9162 0.9177 1.4 0.9265 0.9192 0.9332 0.9207 0.9222 0.9236 0.9251 0.9279 0.9292 0.9306 0.9319 0.9345 0.9463 0.9382 0.9495 1.5 0.9357 0.9370 0.9394 0.9406 0.9418 0.9429 0.9441 1.6 0.9452 0.9474 0.9484 0.9505 0.9515 0.9525 0.9535 0.9545 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9767 0.9817 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9798 0.9842 0.9878 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9803 0.9808 0.9830 0.9868 0.9812 0.9854 0.9887 2.1 0.9821 0.9826 0.9834 0.9838 0.9846 0.9850 0.9857 2.2 0.9861 0.9864 0.9871 0.9875 0.9881 0.9884 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9927 0.9945 0.9959 2.4 0.9918 0.9920 0.9922 0.9925 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 0.9963 0.9973 2.6 0.9953 0.9955 0.9956 0.9957 0.9960 0.9961 0.9962 0.9964 0.9967 0.9976 2.7 0.9965 0.9966 0.9968 0.9969 0.9970 0.9971 0.9972 0.9974 0.9975 0.9982 0.9979 0.9985 2.8 0.9974 0.9977 0.9977 0.9978 0.9979 0.9980 0.9981 2.9 0.9981 0.9982 0.9983 0.9984 0.9984 0.9985 0.9986 0.9986 3.0 0.99865 0.99869 0.99874 0.99878 0.99882 0.99886 0.99889 0.99893 0.99897 0.99900 3.1 0.99903 0.99906 0.99910 0.99913 0.99916 0.99918 0.99921 0.99924 0.99926 0.99929 0.99934 0.99953 0.99968 0.99942 0.99960 3.2 0.99931 0.99936 0.99938 0.99940 0.99958 0.99944 0.99946 0.99948 0.99950 3.3 0.99952 0.99955 0.99957 0.99961 0.99962 0.99964 0.99965 34 0.99966 0.99969 0.99970 0.99971 0.99972 0.99973 0.99974 0.99975 0.99976 3.5 0.99977 0.99978 0.99978 0.99979 0.99980 0.99982 0.99983 0.99981 0.99987 0.99981 0.99987 0.99983 3.6 0.99984 0.99985 0.99985 0.99986 0.99986 0.99988 0.99988 0.99989 0.99992 0.99992 0.99995 3.7 0.99989 0.99990 0.99990 0.99990 0.99991 0.99991 0.99992 0.99992 0.99993 0.99995 3.8 0.99993 0.99993 0.99996 0.99994 0.99994 0.99994 0.99994 0.99995 0.99995 3.9 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.99997 0.99997 4.0 0.999968329 4.5 0.999996602 5.0 0.999999713 5.5 0.99999998I 6.0 0.999999999 0.00 0.01 0.02 0.03 0.04 0.05 0.06 007 0.09
Cumulative Probabili ties
0,00
0.02
0.03
0.04
0.06
07
0.08
0.09
-6.0
0.000000001
Previous question
-55
0.000000019
-5.0
0.000000287
-4.5
0.000003398
-4.0
0.000031671
-3.9
0.00005
0.00005
0.00004
0.00004
0.00004
0.00004
0.00004
0.00004
0.00003
0.00003
0.00007
0.00007
0.00010
--3.8
0.00007
0.00006
0.00006
0.00006
0.00006
0.00005
0.00005
0.00005
0.00008
-3.7
0.00011
0.00010
0.00015
0.00010
0.00009
0.00009
0.00008
0.00008
0.00008
-3.6
0.00016
0.00015
0.00014
0.00014
0.00013
0.00013
0.00012
0.00012 0.00011
-35
0.00023
0.00022
0.00022
0.00021
0.00020
0.00019
0.00019
0.00018
0.00017
0.00017
-3.4
0.00034
0.00032
0.00031
0.00030
0.00029
0.00028
0.00027
0.00026
0.00025
0.00024
-33
0.00048
0.00047
0.00045
0.00043
0.00042
0.00040
0.00039
0.00038
0.00036
0.00035
0.00056
0.00079
0.00054
0.00076
--32
0.00062
0.00058
0.00052
0.00050
0.00071
0.00069
0.00066
0.00064
0.00060
--3.1
0.00097
0.00094
0.00131
0.0018
0.00090
0.00087
0.00084
0.00082
0.00074
0.00135
0.0019
-3.0
0.00126
0.00122
0.00118
0.00114
0.00111
0.00107
0.00103
0.00100
-2.9
0.0018
0.0017
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
-2.8
0.0026
0.0025
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.0020
0.0019
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027
0.0026
-2.6
0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
-25
0.0062
0.0060
0.0059
0.0057
0.0055
0.0054
0.0052
0.0051
0.009
0.0048
-2.4
0.0082
0.0080
0.0078
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066
0.0064
-23
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0087
0.0084
-22
0.0139
0.0136
0.0132
0.0129
0.0125
0.0122
0.0119
0.0116
0.0113
0.0110
-2.1
0.0179
0.0174
0.0170
0.0166
0.0162
0.0207
0.0158
0.0154
0.0150
0.0146
0.0143
0.0217
0.0274
0.0344
0.0427
0.0526
0.0643
-2.0
0.0228
0.0222
0.0212
0.0202
0.0197
0.0192
0.0188
0.0183
0.0268
0.0244
0.0307
-1.9
0.0287
0.0281
0.0262
0.0256
0.0250
0.0239
0.0233
-18
0.0359
0.0351
0.0336
0.0329
0.0322
0.0314
0.0301
0.0294
0.0401
0.0495
0.0606
-1.7
0.0446
0.0436
0.0418
0.0409
0.0392
0.0384
0.0475
0.0582
0.0375
0.0367
0.0485
0.0594
0.0537
0.0465
0.0571
-1.6
0.0548
0.0516
0.0505
0.0618
0.0455
0.0559
0.0681
-13
0.0668
0.0655
0.0630
-14
0.0808
0.0793
0.0778
0.0764
0.0749
0.0735
0.0721
0.0708
0.0694
-13
0.0968
0.0951
0.0934
0.0918
0.0901
0.0885
0.0869
0.0853
0.0838
0.0823
-12
0.1151
0.1131
0.1112
0.1093
0.1075
0.1056
0.1038
0.1020
0.1003
0.0985
-1.1
0.1357
0.1335
0.1314
0.1292
0.1271
0.1251
0.1230
0.1210
0.1190
0.1170
0. 1562
0.1515
0.1762
0.2033
0.1446
0.1379
-1.0
-0.9
0.1587
0.1539
0.1492
0.1469
0.1423
0.1401
0.1841
0.1814
0.1788
0.1711
0.1736
0.2005
0.1685
0.1660
0.1635
0.1611
-08
0.2119
0.2090
0.2061
0.1977
0.1949
0. 1922
0.1894
0.1867
-0.7
0.2420
0.2388
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2177
0.2148
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2514
0.2482
0.2451
-05
0.3085
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
0.2810
0.2776
0.3446
0.3409
0.3372
0.3745
0.3336
0.3300
0.3264
0.3228
0.3594
0.3192
0.3156
0.3121
0.3483
-0.4
0.3
0.3821
0.3783
03707
0.3669
0.3632
0.3557
0.3520
-02
0.4207
0.4168
0.4129
0.4090
0.4052
0.4013
0.3974
0.3936
0.3897
0.3859
-0.1
0.4602
0.4562
0.4522
0.4483
0.4443
0.4404
0.4364
0.4325
0.4286
0.4247
-0.0
0.5000
0.4960
0.4920
0.4880
04840
0.4801
0.4761
0.4721
0.4681
0.4641
0.00
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Transcribed Image Text:Cumulative Probabili ties 0,00 0.02 0.03 0.04 0.06 07 0.08 0.09 -6.0 0.000000001 Previous question -55 0.000000019 -5.0 0.000000287 -4.5 0.000003398 -4.0 0.000031671 -3.9 0.00005 0.00005 0.00004 0.00004 0.00004 0.00004 0.00004 0.00004 0.00003 0.00003 0.00007 0.00007 0.00010 --3.8 0.00007 0.00006 0.00006 0.00006 0.00006 0.00005 0.00005 0.00005 0.00008 -3.7 0.00011 0.00010 0.00015 0.00010 0.00009 0.00009 0.00008 0.00008 0.00008 -3.6 0.00016 0.00015 0.00014 0.00014 0.00013 0.00013 0.00012 0.00012 0.00011 -35 0.00023 0.00022 0.00022 0.00021 0.00020 0.00019 0.00019 0.00018 0.00017 0.00017 -3.4 0.00034 0.00032 0.00031 0.00030 0.00029 0.00028 0.00027 0.00026 0.00025 0.00024 -33 0.00048 0.00047 0.00045 0.00043 0.00042 0.00040 0.00039 0.00038 0.00036 0.00035 0.00056 0.00079 0.00054 0.00076 --32 0.00062 0.00058 0.00052 0.00050 0.00071 0.00069 0.00066 0.00064 0.00060 --3.1 0.00097 0.00094 0.00131 0.0018 0.00090 0.00087 0.00084 0.00082 0.00074 0.00135 0.0019 -3.0 0.00126 0.00122 0.00118 0.00114 0.00111 0.00107 0.00103 0.00100 -2.9 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -25 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.009 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -23 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -22 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0207 0.0158 0.0154 0.0150 0.0146 0.0143 0.0217 0.0274 0.0344 0.0427 0.0526 0.0643 -2.0 0.0228 0.0222 0.0212 0.0202 0.0197 0.0192 0.0188 0.0183 0.0268 0.0244 0.0307 -1.9 0.0287 0.0281 0.0262 0.0256 0.0250 0.0239 0.0233 -18 0.0359 0.0351 0.0336 0.0329 0.0322 0.0314 0.0301 0.0294 0.0401 0.0495 0.0606 -1.7 0.0446 0.0436 0.0418 0.0409 0.0392 0.0384 0.0475 0.0582 0.0375 0.0367 0.0485 0.0594 0.0537 0.0465 0.0571 -1.6 0.0548 0.0516 0.0505 0.0618 0.0455 0.0559 0.0681 -13 0.0668 0.0655 0.0630 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 -13 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -12 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 0. 1562 0.1515 0.1762 0.2033 0.1446 0.1379 -1.0 -0.9 0.1587 0.1539 0.1492 0.1469 0.1423 0.1401 0.1841 0.1814 0.1788 0.1711 0.1736 0.2005 0.1685 0.1660 0.1635 0.1611 -08 0.2119 0.2090 0.2061 0.1977 0.1949 0. 1922 0.1894 0.1867 -0.7 0.2420 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2482 0.2451 -05 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3446 0.3409 0.3372 0.3745 0.3336 0.3300 0.3264 0.3228 0.3594 0.3192 0.3156 0.3121 0.3483 -0.4 0.3 0.3821 0.3783 03707 0.3669 0.3632 0.3557 0.3520 -02 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 04840 0.4801 0.4761 0.4721 0.4681 0.4641 0.00 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
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ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax