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1. to the right of z = 2.18 2. below z= -1.40 3. above z= 0.57 4. between z = -2.34 and z = 1.57

1. to the right of z = 2.18 2. below z= -1.40 3. above z= 0.57 4. between z = -2.34 and z = 1.57

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 64E
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Given the z table and example, Kindly answer items 1, 2, 3 and 4. Thank you.

Table A. Cumulative Normal dietribution (eontinued) Tuble A. Cumulative Normal dietribution (etable) 0.02 0.07 0.08 0.09 0.00 0.01 0.00 0.01 0.03 0.04 0.05 0.06 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.6 -3.5 S279 3675 6064 5143 3359 3753 6141 6517 3319 .0002 0.0 0.1 0.2 0.3 5239 3636 6026 6406 6772 .0002 5000 598 5793 6179 6554 5040 3438 5831 5120 5517 5910 6293 S160 5557 3948 6131 6700 3199 3596 D001 0001 0002 0001 .0002 0001 0002 0001 0001 0000 D001 .0001 0002 0002 S714 6103 6480 6844 0002 5478 5871 6255 6628 DO02 0002 -3.4 -3.3 0003 .0005 0003 005 0007 .0003 0005 0006 0003 6168 6736 0003 .0004 0006 000) 0004 0006 0002 0003 0005 0003 6217 6591 0.4 6664 6879 0004 .0004 0004 -3.2 -3.1 -3.0 0007 0010 0013 0006 0009 0012 0006 7190 7517 7623 8106 8365 7224 7549 7852 8133 8389 7123 7454 7157 7486 0.5 50 7291 7611 7910 HIRG 6985 7324 1642 7939 K212 7054 7389 7704 7995 264 TOKR 7019 7357 0009 0000 0013 000 0012 0008 0008 0011 0.6 0.7 0.8 0.9 7257 7580 7881 7422 7734 8023 0013 0011 0011 0010 0010 7673 .7967 8238 .7764 8051 3315 7794 s078 R40 -2.9 -2.8 2.7 -2.6 -2.5 0019 0017 0023 0032 0043 0057 0014 0020 0027 0014 0019 D026 0018 0016 0018 0024 0033 0044 0016 .0022 .0030 0040 0054 0015 0021 0028 .0026 0005 8199 0025 0023 0031 0041 0055 .0021 0029 .0039 D052 0034 1.0 8438 8665 8869 9049 9207 8461 8531 8749 8944 9115 9265 8554 8770 862 9131 9279 8599 BRIO 1997 9162 906 8621 8830 9015 9177 9119 8413 8485 8SOM 8729 8925 9099 9251 8577 0036 004 .0017 0045 1.1 1.2 1.3 1.4 8643 8656 8790 0062 C060 .0059 0051 0049 8849 9032 9192 8907 90K2 9236 3980 9147 9292 0066 DOST 0113 0146 DI88 0064 DOS4 O110 0143 0183 9066 -2.4 -2.3 -2.2 0082 0078 0102 0132 0170 .0217 0075 0073 0096 0125 D162 0071 9222 0001 0119 0O89 016 O1S0 0192 0107 1.5 1.6 1.7 1.8 1.9 O136 0174 0222 0129 0166 0212 0122 0158 0202 9345 9357 9474 9332 9452 9554 9641 9370 9382 9495 9591 9671 9394 9505 9599 9678 9744 9406 9515 9608 9686 9750 9418 9525 9616 9693 9756 9429 9535 9625 9699 9761 9441 9545 9633 -2.1 0179 0228 9463 0154 9484 95R2 9664 9732 -2.0 0207 0197 9564 9649 9719 9573 9656 9726 0268 0336 0418 0516 K30 9706 9767 0274 262 0329 0109 .0505 0618 0256 0322 0401 0495 0606 0244 007 0384 0475 0582 0239 0301 0375 0465 OS71 0233 -1.9 -1.8 .0287 0359 0281 0351 0436 0537 0655 0250 0314 0392 0485 0594 9713 9738 0294 0144 0427 0526 0643 D367 78 9826 9864 9783 9830 9868 9898 9922 -1.7 -1.6 -1.5 2.0 0446 9772 9821 9861 9893 9788 9834 9793 9798 9842 9808 9850 9803 9812 9R17 2.1 2.2 9838 9875 9846 9881 9854 9887 9857 9890 04S5 0559 0668 2.3 2.4 9896 9920 9871 9901 9925 9878 9906 9884 9911 9932 .9904 9916 9936 0764 0749 0735 0885 1056 1251 1469 9909 9913 0721 0708 0808 0968 1151 1357 1587 0778 0934 -14 -1.3 -1.2 -1.1 0793 9918 9927 9929 9931 9934 0918 1093 0901 1075 1271 1492 0853 1020 1210 1423 0838 1003 1190 OK23 0985 J170 1379 0951 J131 9938 9953 9965 9974 .9981 1038 1210 1446 2.5 9940 9941 9956 9957 9967 9976 9982 9943 12 9945 9959 9969 9946 9948 9960 9961 9971 9979 9985 9949 9951 9952 9964 9914 1292 1314 1539 2.6 9955 9962 9963 1335 1562 I515 1401 2.7 2.8 2.9 9966 9975 9982 9968 9970 -1.0 9972 9979 9985 9973 9977 9977 9978 9984 1762 2033 2327 2643 2981 1736 2005 2296 2611 1711 1977 2266 2578 2912 1685 1949 2236 2546 2877 9980 9981 1660 1922 2206 2514 2843 1635 1894 2177 2483 2810 1611 1867 2148 2451 2776 -0.9 1814 2090 1841 2119 2420 2743 3085 1788 2061 2358 2676 9983 .9984 9986 9986 0.8 9987 3.0 9990 3.1 9993 9987 9987 9988 9991 9994 9996 9997 9988 9992 9989 9992 --0.7 -0.6 0.5 2389 9989 9992 9990 9993 9989 9990 9991 9991 2709 9992 9995 9996 9997 9993 9995 9997 9998 3.2 9993 9994 2946 9994 9996 9997 9994 9994 9995 3050 3015 3.3 3.4 9995 9995 9995 9996 9997 9996 9996 9997 3156 3520 3121 3336 3707 4090 4483 A880 3300 3669 A052 4443 A840 3264 3632 4013 4404 A801 3228 3594 3974 4364 A761 3192 -0.4 -03 -0.2 -0.1 -0.0 3446 3821 4207 A12 S000 3372 3745 4129 4522 4920 9997 9997 9997 3409 9997 3557 3936 A325 4721 3783 3483 3.5 .9998 9998 9998 9998 9998 9999 3859 4247 A641 9998 9998 9999 .9998 9998 3897 9998 9999 4168 4562 4960 9998 9998 9999 3.6 A286 4681 9999 9999 9999 9999
Transcribed Image Text:Table A. Cumulative Normal dietribution (eontinued) Tuble A. Cumulative Normal dietribution (etable) 0.02 0.07 0.08 0.09 0.00 0.01 0.00 0.01 0.03 0.04 0.05 0.06 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -3.6 -3.5 S279 3675 6064 5143 3359 3753 6141 6517 3319 .0002 0.0 0.1 0.2 0.3 5239 3636 6026 6406 6772 .0002 5000 598 5793 6179 6554 5040 3438 5831 5120 5517 5910 6293 S160 5557 3948 6131 6700 3199 3596 D001 0001 0002 0001 .0002 0001 0002 0001 0001 0000 D001 .0001 0002 0002 S714 6103 6480 6844 0002 5478 5871 6255 6628 DO02 0002 -3.4 -3.3 0003 .0005 0003 005 0007 .0003 0005 0006 0003 6168 6736 0003 .0004 0006 000) 0004 0006 0002 0003 0005 0003 6217 6591 0.4 6664 6879 0004 .0004 0004 -3.2 -3.1 -3.0 0007 0010 0013 0006 0009 0012 0006 7190 7517 7623 8106 8365 7224 7549 7852 8133 8389 7123 7454 7157 7486 0.5 50 7291 7611 7910 HIRG 6985 7324 1642 7939 K212 7054 7389 7704 7995 264 TOKR 7019 7357 0009 0000 0013 000 0012 0008 0008 0011 0.6 0.7 0.8 0.9 7257 7580 7881 7422 7734 8023 0013 0011 0011 0010 0010 7673 .7967 8238 .7764 8051 3315 7794 s078 R40 -2.9 -2.8 2.7 -2.6 -2.5 0019 0017 0023 0032 0043 0057 0014 0020 0027 0014 0019 D026 0018 0016 0018 0024 0033 0044 0016 .0022 .0030 0040 0054 0015 0021 0028 .0026 0005 8199 0025 0023 0031 0041 0055 .0021 0029 .0039 D052 0034 1.0 8438 8665 8869 9049 9207 8461 8531 8749 8944 9115 9265 8554 8770 862 9131 9279 8599 BRIO 1997 9162 906 8621 8830 9015 9177 9119 8413 8485 8SOM 8729 8925 9099 9251 8577 0036 004 .0017 0045 1.1 1.2 1.3 1.4 8643 8656 8790 0062 C060 .0059 0051 0049 8849 9032 9192 8907 90K2 9236 3980 9147 9292 0066 DOST 0113 0146 DI88 0064 DOS4 O110 0143 0183 9066 -2.4 -2.3 -2.2 0082 0078 0102 0132 0170 .0217 0075 0073 0096 0125 D162 0071 9222 0001 0119 0O89 016 O1S0 0192 0107 1.5 1.6 1.7 1.8 1.9 O136 0174 0222 0129 0166 0212 0122 0158 0202 9345 9357 9474 9332 9452 9554 9641 9370 9382 9495 9591 9671 9394 9505 9599 9678 9744 9406 9515 9608 9686 9750 9418 9525 9616 9693 9756 9429 9535 9625 9699 9761 9441 9545 9633 -2.1 0179 0228 9463 0154 9484 95R2 9664 9732 -2.0 0207 0197 9564 9649 9719 9573 9656 9726 0268 0336 0418 0516 K30 9706 9767 0274 262 0329 0109 .0505 0618 0256 0322 0401 0495 0606 0244 007 0384 0475 0582 0239 0301 0375 0465 OS71 0233 -1.9 -1.8 .0287 0359 0281 0351 0436 0537 0655 0250 0314 0392 0485 0594 9713 9738 0294 0144 0427 0526 0643 D367 78 9826 9864 9783 9830 9868 9898 9922 -1.7 -1.6 -1.5 2.0 0446 9772 9821 9861 9893 9788 9834 9793 9798 9842 9808 9850 9803 9812 9R17 2.1 2.2 9838 9875 9846 9881 9854 9887 9857 9890 04S5 0559 0668 2.3 2.4 9896 9920 9871 9901 9925 9878 9906 9884 9911 9932 .9904 9916 9936 0764 0749 0735 0885 1056 1251 1469 9909 9913 0721 0708 0808 0968 1151 1357 1587 0778 0934 -14 -1.3 -1.2 -1.1 0793 9918 9927 9929 9931 9934 0918 1093 0901 1075 1271 1492 0853 1020 1210 1423 0838 1003 1190 OK23 0985 J170 1379 0951 J131 9938 9953 9965 9974 .9981 1038 1210 1446 2.5 9940 9941 9956 9957 9967 9976 9982 9943 12 9945 9959 9969 9946 9948 9960 9961 9971 9979 9985 9949 9951 9952 9964 9914 1292 1314 1539 2.6 9955 9962 9963 1335 1562 I515 1401 2.7 2.8 2.9 9966 9975 9982 9968 9970 -1.0 9972 9979 9985 9973 9977 9977 9978 9984 1762 2033 2327 2643 2981 1736 2005 2296 2611 1711 1977 2266 2578 2912 1685 1949 2236 2546 2877 9980 9981 1660 1922 2206 2514 2843 1635 1894 2177 2483 2810 1611 1867 2148 2451 2776 -0.9 1814 2090 1841 2119 2420 2743 3085 1788 2061 2358 2676 9983 .9984 9986 9986 0.8 9987 3.0 9990 3.1 9993 9987 9987 9988 9991 9994 9996 9997 9988 9992 9989 9992 --0.7 -0.6 0.5 2389 9989 9992 9990 9993 9989 9990 9991 9991 2709 9992 9995 9996 9997 9993 9995 9997 9998 3.2 9993 9994 2946 9994 9996 9997 9994 9994 9995 3050 3015 3.3 3.4 9995 9995 9995 9996 9997 9996 9996 9997 3156 3520 3121 3336 3707 4090 4483 A880 3300 3669 A052 4443 A840 3264 3632 4013 4404 A801 3228 3594 3974 4364 A761 3192 -0.4 -03 -0.2 -0.1 -0.0 3446 3821 4207 A12 S000 3372 3745 4129 4522 4920 9997 9997 9997 3409 9997 3557 3936 A325 4721 3783 3483 3.5 .9998 9998 9998 9998 9998 9999 3859 4247 A641 9998 9998 9999 .9998 9998 3897 9998 9999 4168 4562 4960 9998 9998 9999 3.6 A286 4681 9999 9999 9999 9999
Example 2: Find the area to the right of z=-135 Step 1: Step 2: 2 35 Step 3. The intersection between -1.3 and 0.05 is 0.0885 Since the shaded region is to the right of z-value, we will subtract 0.0885 to 1. The difference is 0.9915 Step 4. Step 5 0.9915 2.135 A. Fnd the area that corresponds to each of the following z values. Sketch and label each curve. 1. to the right of z = 2.18 2. below z= -1.40 3. above z= 0.57 4. between z = -2.34 and z = 1.57 %3D
Transcribed Image Text:Example 2: Find the area to the right of z=-135 Step 1: Step 2: 2 35 Step 3. The intersection between -1.3 and 0.05 is 0.0885 Since the shaded region is to the right of z-value, we will subtract 0.0885 to 1. The difference is 0.9915 Step 4. Step 5 0.9915 2.135 A. Fnd the area that corresponds to each of the following z values. Sketch and label each curve. 1. to the right of z = 2.18 2. below z= -1.40 3. above z= 0.57 4. between z = -2.34 and z = 1.57 %3D
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