Algebra Multiple Choice

,,. Chapter 12 Test Algebra Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Use the frequency tаЫе. Find the probaЬility that а person goes to the movies at least 2 times а month. Round to the nearest thousandth. Trips to the Movies Num ber of Movies More than 7 movies per month 5 7- movies per montl1 2-4 movies per month Less than 2 movies per month Total а. (_ 0.192 ь. 0.125 Number of Movieooers 86 157 228 217 688 (9 0.685 d. 0.353 2. Suppose you spin two spinners. Each has 5 equally likely outcomes, the numbers 1 tl1rough 5. Which graph shows the probaЬility distribution for the su of t е two spinners? o С. L 6 ;,.. 5 4 6 ;,.. 5 5 4 5 8"3 g" 3 u: 2 u: 2 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 Sum Sum d. Ь. 6 "';,.. 5 5 4 6 ;,.. 5 5 4 ""е 2" е" О" ' О" ' 2 1 2 3 4 5 6 7 8 9 10 Sum 2 3 4 5 6 7 8 9 10 Sum Find the outlier in the set of data. vf. 3. 17, 13, 16, 1 8,38, 14,21,24 G) 38 Ь. 14 с. 16 d. 17 4. In а sample of 138 teeпagers, 38 have пever Ьееп to а live concert. Find the sample proportioп for those who have never been to а l�ncert. а. 4% U,.,-128% с. 50% d. 72% 5. Find the margin oferror for the sample proportion, given а sample size ofn = 600. Round to the пearest percent. а. ±2% @±4% с. ±96% d. ±41% _L,., 6. Find the sample size that produces the margin of error ±6.0%. Ь. 17 а. 147 � 278 d. 36 Short Answer 7. Participants in а study of а пеw medication received either medication А ос а placebo. Make а tree diagram of the results of the study. Then find Р(р!асеЬо and improvement). Ofall those who participated in the study,80% received medication А. Ofthose who received medicationA,76% reported an improvement. Ofthose who received tl1e placebo,62% re orted по improvement. Find the values of the 30th and 90th percentiles of the data. 8. 18,9,7, 5, 1 l,7, 17,20, 19,2,17,12,5, 1,13, 12,11, 15, 16, 20 q w 9. The probability that а city bus is ready for service when needed is 83%. The probability that а city bus is ready for service and has а working radio is 69%. Find the probaЬility that а bus chosen at random has а working radio given that it is ready for service. Round to the nearest tenth of а percent. р ( � {1 ,f.,t-1,) f0S;.::-t"3% f{'4-rг.+ R')J =:61?¾ p(B(-4-J p(k.111-\�S) Make а box-and-whisker plot of the data. 10. .2'4,l)v,29, � .-1-((, п,---13, ll, 1� � �,2i "2. � "<: 'i, Z� и- L,-z. /( н-::::ь, f(13lA-)==- �;,/'t5 IU.� = l,�') PC ') 4t ::. � It 5. � � • Фt __ f ----'f,___J Q.;;, �ч. 5 �,__,_---j,---rJ ---,f---f-1 -+-f --, f---t--1/'---,t-' --t:L------' 7 -�. tt. s- �,,:: 2,. 5 10 1Ч 18 zz 26 Find the mean, median, and mode of the data set. Round to the nearest tenth. • Ч� � 11. !, !, 6 ,4, !, 8, 7, 15, 7,10, 6 t"'1t:и'1 Ь м c.d. '.:::. {, ll'Ч>d,:: ';:. \ 12. The tаЬ!е shows the results of а survey of college students. Find the probaЬility that а student is taking а humanities class, given the student is male. Round to the nearest thousandtl1. -= First Class of the Day for College Students Male Female 70 80 Humanities 50 80 Science Other 60 70 13. Another measure of variation is variance, which equals data set. Round to the nearest tenth. 7 . '5 7.) g , , , l , 6, IO ; �; _ ; ! l� }= 1,6 (/,ц/-, �� .:.о�= (.,-- 6R 4. Ч 6 Рен- 1 �) =-а Jtfo/ ню d. Find the variance and standard deviation ofthe -- S - '2.. 5 � (.Y-.f) z. = 2-% 5 -i} -z.it1 � -1- s '"5 14. For two weeks,Mark recorded the color of the traffic light at the intersection ofMain Street and North Avenue as his school bus approached the intersection. Tl1e results were: yellow, red, red, red, green, red, green, yellow, red, red. t:r (. ,. (с,, г Make а frequency tаЬ!е for the data. Т !() "2., � т 6J Уз 2 z �- -z..5 Find the range and interquartile range of the data. Round to the nearest tenth. 15. 259,125,158,168,187,334,198 Г'IА""'/С.- = Zot:c т,.,,,-lц� r��-::. /6 ( 16. А set of data has mean 50 and standard deviation 4. Fiпd the z-score ofthe value 61. - So