3.141592653589793238462643383279502 88419716939937510582097494459230781 64062862089986280348253421170679821 48086513282306647093844609550582231 72535940812848111745028410270193852 11055596446229489549303819644288109 75665933446128475648233786783165271 20190914564856692346034861045432664 82133936072602495420647428097356258 07066983106979935260693392135685881 39121480735472846322778490808700246 77763036055512323866562951788537196 73034634701222939581606792509153217 48903084088651606111901149844341235 01246469280288059961342835118847154 49771278473361766285062169778717743 82436256571177945006447771837022199 91066950216567576440449979407650379 99954845002710665987813603802314126 83690578319046079276529727769404361 30230517870805082942280202329012216 30102309772151569446427909802190826 68986883426307160920791408519769523 55534886577434252775311972474308730 43619511396119080030255878387644206 08504473063129927788894272918972716 98905759252446796601897074829609491 90648764693702750773866432391919042 25429023531892337729316673608699622 80325571853089192844038050710300647 76847863243191000223929785255372375 56621364474009676053943983823576460 69924652600890906241059042154539279 04411529580345334500256244101006359 53003959886446616959562635187806068 85137234627079973272331346939714562 85542615467650632465676620279245208 58134771760852169134094652030767339 18411475041401689241213198268815686 64561485380287539331160232292555618 94104299533564009578649534093511526 64540244187759493169305604486864208 62757201172319526405023099774567647 83848897346431721598062678767183800 52476968840849891850861490034324034 76742686245952395890358582135006450 99817824463608731775437885967767291 95261112138591947254514003011805034 37875277664402762618941017576872680 42817662386068047788524288743025914 52470739505465251353394595987896197 78911041890292943818567205070964606 26354173294464957661265195349570186 00154126239622864138977967333290705 67376962156498184506842263690367849 55597002607986799626101903933126376 85569687670292953711625280055431007 86408728939225714512481135778627664 90242516199027747109033593330930494 83805978566288447874414698414990671 23764789582263294904679812089984857 16357108783119184863025450162092980 58292083348136384054217200561219893 53669371336733392464416125223196943 47120641737549121635700857369439730 59797097197266666422674311177621764 03068681310351899112271339724036887 00099686292254646500638528862039380 05047782769128356033725482557939129 85251506829969107754257647488325341 41213280062671709400909822352965795 79978030182824284902214707481111240 18607613415150387569830918652780658 89668236252393784527263453042041880 25084423631903833183845505223679923 57752929106925043261446950109861088 89991465855188187358252816430252093 92852580779697376208456374821144339 88162710031703151334402309526351929 58868069082135585368016100021374085 11544849126858412686958991741491338 20578492800698255195740201818105641 29725083607035685105533178784082900 00415525118657794539633175385320921 49720526607831260281961164858098684 58752512999740409279768317663991465 53861089375879522149717317281315179 329044311218158710235187407572221.. . and so on

what is this for??

Step-by-step explanation:

pi=3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602495420647428097356258070669831069799352606933921356858813912148073547284632277849080870024677763036055512323866562951788537196730346347012229395816067925091532174890308408865160611190114984434123501246469280288059961342835118847154497712784733617662850621697787177438243625657117794500644777183702219991066950216567576440449979407650379999548450027106659878136038023141268369057831904607927652972776940436130230517870805082942280202329012216301023097721515694464279098021908266898688342630716092079140851976952355534886577434252775311972474308730436195113961190800302558783876442060850447306312992778889427291897271698905759252446796601897074829609491906487646937027507738664323919190422542902353189233772931667360869962280325571853089192844038050710300647768478632431910002239297852553723755662136447400967605394398382357646069924652600890906241059042154539279044115295803453345002562441010063595300395988644661695956263518780606885137234627079973272331346939714562855426154676506324656766202792452085813477176085216913409465203076733918411475041401689241213198268815686645614853802875393311602322925556189410429953356400957864953409351152664540244187759493169305604486864208627572011723195264050230997745676478384889734643172159806267876718380052476968840849891850861490034324034767426862459523958903585821350064509981782446360873177543788596776729195261112138591947254514003011805034378752776644027626189410175768726804281766238606804778852428874302591452470739505465251353394595987896197789110418902929438185672050709646062635417329446495766126519534957018600154126239622864138977967333290705673769621564981845068422636903678495559700260798679962610190393312637685569687670292953711625280055431007864087289392257145124811357786276649024251619902774710903359333093049483805978566288447874414698414990671237647895822632949046798120899848571635710878311918486302545016209298058292083348136384054217200561219893536693713367333924644161252231969434712064173754912163570085736943973059797097197266666422674311177621764030686813103518991122713397240368870009968629225464650063852886203938005047782769128356033725482557939129852515068299691077542576474883253414121328006267170940090982235296579579978030182824284902214707481111240186076134151503875698309186527806588966823625239378452726345304204188025084423631903833183845505223679923577529291069250432614469501098610888999146585518818735825281643025209392852580779697376208456374821144339881627100317031513344023095263519295886806908213558536801610002137408511544849126858412686958991741491338205784928006982551957402018181056412972508360703568510553317878408290000415525118657794539633175385320921497205266078312602819611648580986845875251299974040927976831766399146553861089375879522149717317281315179329044311218158710235187407572221... and so on

Step-by-step explanation:

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180