Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. What percent of students who took the test have a mathematicS score below 590? Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal.table, O What percent of students who took the test have a mathematics score below 590?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question

Please help me with this question please thank you 

don't reject

Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. What percent of students who took the test have a mathematics score below 590?
Click here to view page 1 of the standard normal table.
Click here to view page 2 of the standard normal table.
What percent of students who took the test have a mathematics score below 590?
% (Round to two decimal places as needed.)
Area uider a normal curve to the left of z (page 2)
Area under a normal curve to the left of z (page 1)
Table of Areas to the Left of z When z Is Positive
Table of Areas to the Left of z When z Is Negative
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0 5000 .5040 .5080 5120 5160
0.1 .5398 .5438 .5478 5517 .5557 5596
.5199
.5239
5279
.5319 5359
-3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003.0003 .0003 .0002
-3.3
.5636
5675
.5714 .5753
.0005 .0005 .0005 .0004 .0004 .0004
.0004 .0004 .0004 .0003
0.2 .5793 .5832 .5871
0.3 .6179 .6217 .6255 .6293
.5910
.5948
.5987
.6026
.6064 .6103
6141
-3.2 .0007 .0007 .0006.0006 .0006 .0006 .0006 .0005 .0005 .0005
.0008 .0008 .0007 .0007
.6331 .6368
.6700 .6736
.6406
.6443 .6480
.6517
-3.1 .0010 .0009 .0009 .0009 .0008 .0008
0.4 .6554 .6591
.6628 .6664
.6772
.6808
.6844
.6879
-3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010
-2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014.0014
-2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019
-2.7 .0035 .0034 .0033.0032 .0031 .0030 .0029 .0028 .0027 .0026
.0040 .0039 .0038 .0037 .0036
.0048
.6950 .6985 .7019 .7054 .7088
.7291 .7324 .7357 .7389
.7123
.7157
.7190 .7224
0.5 .6915
.7257
.7580 .7611
0.6
.7422
.7454
.7486
.7517 .7549
0.7
.7642 .7673 .7704
.7734
.7764
.7794
.7823
.7852
0.8
.7881
.7910
.7939
.7967
.7995
.8023
.8051 .8078
.8106 .8133
-2.6 .0047 .0045 .0044 .0043 .0041
0.9 .8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365 .8389
-2.5 .0062 .0060
.0059 .0057 .0055 .0054
.0052 .0051
.0049
1.0
.8413
.8438
.8461
.8485
.8508
.8531
.8554
.8577
.8599
.8621
-2.4 .0082 .0080 .0078 .0075 .0073 .0071
.0069
.0068
.0066
.0064
.8643
.8665
.8686
.8708
.8729
.8749
.8770
.8790
8810
.8830
1.1
-2.3 .0107 .0104
.0102 .0099.0096 .0094 .0091
.0089 .0087
.0084
1.2
.8849
.8869
.8888
.8907
.8925
.8944
.8962
.8980 .8997
9015
9177
.9131 .9147 9162
.9292 9306
.0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110
-2.2
-2.1
.0139 .0136
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143
.0188 .0183
.0233
.0179 .0174
1.4
.9192 9207
.9222
.9236
.9251
.9265
9279
.9319
.0217 .0212 .0207 .0202
.0197 .0192
.9429
.9441
.9382
.9495 .9505
-2.0 .0228 .0222
1.5
.9332
.9345
.9357
.9370
.9394
.9406
9418
-1.9 .0287 .0281
.0274 .0268
.0262
.0256 .0250 .0244
.0239
1.6
.9452
.9463
.9474
9484
.9515
.9525 9535
9545
.0329 .0322.0314 .0307 .0301
.0392 .0384 .0375
.0475 .0465
.0582 .0571
.0294
.9582 9591 9599
.9671 .9678
.9608
.9616 9625 9633
- 1.8
-1.7
.0359 .0351
.0344 .0336
1.7
.9554
.9564
.9573
.0367
.0455
.0446 .0436
.0427 .0418 .0409 .0401
1.8
.9641
.9649
.9656
.9664
.9686
.9693 .9699 .9706
.0505 .0495 .0485
.0606 .0594
.9756 9761 9767
9812
.9738 .9744
9788 .9793 9798
.9842
.9878
.0526 .0516
.9750
-1.6 .0548 .0537
.0668
.9713 .9719 9726 .9732
.9783
1.9
.0655
.0643 .0630 .0618
.0559
.9803
.9808
.9817
2.0 .9772 9778
.9821
-1.5
.0708 .0694
.0681
.9854
.9887 .9890
-1.4
.0808
.0793 .0778 .0764
.0749 .0735 .0721
2.1
.9826
.9830
.9834
.9838
.9846
.9850
,9857
.0823
.0934 .0918 .0901 .0885 .0869 .0853
.1112 .1093 .1075 .1056 .1038 .1020 .1003
- 1.3
.0968
.0951
.0838
.9868
.9871
.9875
.9881
.9884
2.2
2.3
.9861
.9864
.0985
.9909
.9911
.9913 .9916
.9904
.9927
.9901
.9906
-1.2 .1151
-1.1
.1131
.9893 9896
.9898
.1314 .1292 .1271 .1251 .1230 .1210 .1190
.1423 .1401
.1170
.1379
.9931
9932
.9934
.9936
.9922 9925
9943
.1357 .1335
2.4
.9918
.9920
.9929
.1446
.9951
.9952
.1539 .1515 .1492 .1469
.1711
.9946
.9948
9949
-1.0 .1587 .1562
.1841
.9941
.9945
.9938
.9953
2.5
.9940
.1660 .1635
.1894
.1685
.1611
.9962
.9963
.9964
.1814 .1788 .1762 .1736
.2033
-0.9
2.6
.9955
.9956 .9957 .9959 .9960
.9961
1949
.1922
.1867
.9974
.2005 .1977
.2266
.2578
-0.8
2119
.2090
.2061
2.7
.9965
.9966
.9967
9968
.9969
.9970
.9971
.9972
.9973
2148
.9981
.2236
.2546 .2514 .2483
.2420
.2389
.2358
2327
.2296
.2206 .2177
2.8
.9974
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
-0.7
.2676 .2643
.2611
.2451
.9984
.9985
.9985
.9986
.9986
-0.6 2743 .2709
3085 .3050
2.9
.9981
.9982
.9982
.9983
.9984
-0.5
.3015
2981
.2947
.2912
.2877
.2843
.2810
.2776
3.0
.9987
.9987
.9987
.9988
.9988
.9989
.9989
.9989
.9990
.9990
.3264
.3228
.3192
.3156
.3121
.9992
.9992
.9993
.9993
.3372 .3336
.3707
-0.4
.3446
.3409
.3300
3.1
9990
.9991
.9991
.9991
.9992
.9992
.3821
.3783
.3745
.3669 .3632
.3594 .3557
.3520
.3483
.9994
.9994
.9994
.9994
.9995
.9995
.9995
-0.3
3.2
.9993
.9993
.9994
.4207
.4168
.4129
.4090
.4052
.4013
.3974 .3936
.3897
.3859
3.3
.9995 9995
.9995
.9996
9996
.9996
.9996
.9996
.9996
.9997
-0.2
.4364 .4325 .4286
.4681
.4247
.9997
.9997
.9998
-0.1 4602 4562 .4522 4483
-0.0 .5000 4960
.4443
.4404
3.4 .9997 .9997 .9997 9997 .9997 9997
.9997
.4920
.4880
.4840
.4801
.4761
.4721
.4641
For z values greater than 3.49, use 1.000 to approximate the area.
For values of z less than -3.49, use 0.000 to approximate the area.
Enter your answer in the answer box.
Print
Done
Drint
Depe
MacBook Pro
esc
&
$
%
6.
7
8
1
2
4
{
T
Y
P
# 3
Transcribed Image Text:Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. What percent of students who took the test have a mathematics score below 590? Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. What percent of students who took the test have a mathematics score below 590? % (Round to two decimal places as needed.) Area uider a normal curve to the left of z (page 2) Area under a normal curve to the left of z (page 1) Table of Areas to the Left of z When z Is Positive Table of Areas to the Left of z When z Is Negative .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 5000 .5040 .5080 5120 5160 0.1 .5398 .5438 .5478 5517 .5557 5596 .5199 .5239 5279 .5319 5359 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003.0003 .0003 .0002 -3.3 .5636 5675 .5714 .5753 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 0.2 .5793 .5832 .5871 0.3 .6179 .6217 .6255 .6293 .5910 .5948 .5987 .6026 .6064 .6103 6141 -3.2 .0007 .0007 .0006.0006 .0006 .0006 .0006 .0005 .0005 .0005 .0008 .0008 .0007 .0007 .6331 .6368 .6700 .6736 .6406 .6443 .6480 .6517 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 0.4 .6554 .6591 .6628 .6664 .6772 .6808 .6844 .6879 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014.0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033.0032 .0031 .0030 .0029 .0028 .0027 .0026 .0040 .0039 .0038 .0037 .0036 .0048 .6950 .6985 .7019 .7054 .7088 .7291 .7324 .7357 .7389 .7123 .7157 .7190 .7224 0.5 .6915 .7257 .7580 .7611 0.6 .7422 .7454 .7486 .7517 .7549 0.7 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 -2.6 .0047 .0045 .0044 .0043 .0041 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 8810 .8830 1.1 -2.3 .0107 .0104 .0102 .0099.0096 .0094 .0091 .0089 .0087 .0084 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 9015 9177 .9131 .9147 9162 .9292 9306 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.2 -2.1 .0139 .0136 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 .0188 .0183 .0233 .0179 .0174 1.4 .9192 9207 .9222 .9236 .9251 .9265 9279 .9319 .0217 .0212 .0207 .0202 .0197 .0192 .9429 .9441 .9382 .9495 .9505 -2.0 .0228 .0222 1.5 .9332 .9345 .9357 .9370 .9394 .9406 9418 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 1.6 .9452 .9463 .9474 9484 .9515 .9525 9535 9545 .0329 .0322.0314 .0307 .0301 .0392 .0384 .0375 .0475 .0465 .0582 .0571 .0294 .9582 9591 9599 .9671 .9678 .9608 .9616 9625 9633 - 1.8 -1.7 .0359 .0351 .0344 .0336 1.7 .9554 .9564 .9573 .0367 .0455 .0446 .0436 .0427 .0418 .0409 .0401 1.8 .9641 .9649 .9656 .9664 .9686 .9693 .9699 .9706 .0505 .0495 .0485 .0606 .0594 .9756 9761 9767 9812 .9738 .9744 9788 .9793 9798 .9842 .9878 .0526 .0516 .9750 -1.6 .0548 .0537 .0668 .9713 .9719 9726 .9732 .9783 1.9 .0655 .0643 .0630 .0618 .0559 .9803 .9808 .9817 2.0 .9772 9778 .9821 -1.5 .0708 .0694 .0681 .9854 .9887 .9890 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 2.1 .9826 .9830 .9834 .9838 .9846 .9850 ,9857 .0823 .0934 .0918 .0901 .0885 .0869 .0853 .1112 .1093 .1075 .1056 .1038 .1020 .1003 - 1.3 .0968 .0951 .0838 .9868 .9871 .9875 .9881 .9884 2.2 2.3 .9861 .9864 .0985 .9909 .9911 .9913 .9916 .9904 .9927 .9901 .9906 -1.2 .1151 -1.1 .1131 .9893 9896 .9898 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1423 .1401 .1170 .1379 .9931 9932 .9934 .9936 .9922 9925 9943 .1357 .1335 2.4 .9918 .9920 .9929 .1446 .9951 .9952 .1539 .1515 .1492 .1469 .1711 .9946 .9948 9949 -1.0 .1587 .1562 .1841 .9941 .9945 .9938 .9953 2.5 .9940 .1660 .1635 .1894 .1685 .1611 .9962 .9963 .9964 .1814 .1788 .1762 .1736 .2033 -0.9 2.6 .9955 .9956 .9957 .9959 .9960 .9961 1949 .1922 .1867 .9974 .2005 .1977 .2266 .2578 -0.8 2119 .2090 .2061 2.7 .9965 .9966 .9967 9968 .9969 .9970 .9971 .9972 .9973 2148 .9981 .2236 .2546 .2514 .2483 .2420 .2389 .2358 2327 .2296 .2206 .2177 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 -0.7 .2676 .2643 .2611 .2451 .9984 .9985 .9985 .9986 .9986 -0.6 2743 .2709 3085 .3050 2.9 .9981 .9982 .9982 .9983 .9984 -0.5 .3015 2981 .2947 .2912 .2877 .2843 .2810 .2776 3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 .3264 .3228 .3192 .3156 .3121 .9992 .9992 .9993 .9993 .3372 .3336 .3707 -0.4 .3446 .3409 .3300 3.1 9990 .9991 .9991 .9991 .9992 .9992 .3821 .3783 .3745 .3669 .3632 .3594 .3557 .3520 .3483 .9994 .9994 .9994 .9994 .9995 .9995 .9995 -0.3 3.2 .9993 .9993 .9994 .4207 .4168 .4129 .4090 .4052 .4013 .3974 .3936 .3897 .3859 3.3 .9995 9995 .9995 .9996 9996 .9996 .9996 .9996 .9996 .9997 -0.2 .4364 .4325 .4286 .4681 .4247 .9997 .9997 .9998 -0.1 4602 4562 .4522 4483 -0.0 .5000 4960 .4443 .4404 3.4 .9997 .9997 .9997 9997 .9997 9997 .9997 .4920 .4880 .4840 .4801 .4761 .4721 .4641 For z values greater than 3.49, use 1.000 to approximate the area. For values of z less than -3.49, use 0.000 to approximate the area. Enter your answer in the answer box. Print Done Drint Depe MacBook Pro esc & $ % 6. 7 8 1 2 4 { T Y P # 3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education