Quadrilateral is A' B' C' D' is a dilation of quadrilateral ABCD about point P with a scale factor of 3.

caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe.

Hitman42 [59]

Answer:

18/95

Step-by-step explanation:

What is probability?

Probability is simply the chances of something occuring.

As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes

Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.

In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action

Understanding the question

Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.

So here # of favorable outcomes = # of blue caps = 9

and

total number of outcomes = total # of caps = 7 + 4 + 9 = 20

Finding the probability

<em>For </em><em>first </em><em>draw</em>

First let's find the probability that caleb will select a blue cap the first time.

We know that probability = # of favorable outcomes / total # of outcomes

We also know that # of favorable outcomes = 9 and total # of outcomes = 20

Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20

<em>For </em><em>second </em><em>draw</em>

Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps

This results us in having # of favorable outcomes as 8 and total # of outcomes as 19

Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19

Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities

From doing so we acquire 9/20 * 8/19 = 18/95

4 0

2 years ago

Read 2 more answers

2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou

jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>

7 0

2 years ago

What is the square root of 7? Decimal form please. Person with the most decimal places gets brainliest.

max2010maxim [7]

Answer:

2.64575131106 2.6457513110645905905016157536392604257102591830824501803683344592010688232302

83627760392886474543610615064578338497463095743529888627214784427390555880107722

71715072972832389229968959486508726070097805420372382802371594110034193911600157

85255963059457410351523968027164073737990740415815199044034743194536713997305970

05051399692237545616097119027378154991633288287704000657570674651963497752083793

81811461309087647378659562433057994798128163230705483650107715617946361191553454

53647749482059309049484983403398900210478616673327950369392462257170537164925787

54832290732492671346980298949908037748251109227895568897919808814834090831685251

33535829539172211770714414974576907081989444441458972284741400303502353203719487

07382629318519364090832280596462783761021959794197089096354695861341181793067816

21360849101677835321255633463490021898146042255929503669562418692737327715022087

52309966469813203212818945478568020950635962446628550076190504139350447437123488

52233277362510045059621080672334698120004300514490251206257311759115423194459672

60497833404344683725636178255048160879406205511486397833055016369470076387773745

19511658095220474202064982102444056001996590904100285534069110102261166807200774

83070332613842826296809502470794656496344336830519708820348050486447262317930876

95722489377521119788376007845603903658809421599292501057753682356001720074065236

92473209967419778002535708540617794442886681589731184938101638162073015642647016

29841099690071341323798188477647769954391111945967670336972452475367740100245826

51593077528163005479339717508017899520565284447796194304512502890432970610508746

04492966897542257133380633247034508888234275409806214511439553803393190705392738

14520604335238180389333294731479058055670704161068722878104529957696633035133295

04704245502510500789645502552271857923370921821991843932537781386785650143790894

13002099040860186605228131329821735251716419633617853080179022873400337109527257

36428650922035916343820273976336550966714177816292894279884853951076819102168116

99677176780863793410667897509217050421558644370687652934899322442240273649792906

66842070305782257110537944215790013280304078494579431518120466309284152592404683

65282802722458530778415894238973955590959563491357495109757674781975590533726939

36521431268222909570986506137179452721677198255442288046052307455488310813325041

49932783468182066583447383366862454456169497251774270254688591746231942309355060

38899235355634465872922507362228284298215287903623847595555861643755472027361518

00826144981691174794610631845652307625691344410868551999982851633960745717970829

72776495645142655658205126240305961633868338746134237463526431296594527010213721

72174899143552932049575097114259427207988929665230498875939525378121455723193310

30690840194942118708515205734116214105775416917245804962369512932926647583857193

34312550616097509003957512063487575979549295499224726634074018815634940531052960

4465875564620943Step-by-step explanation:

3 0

3 years ago

How many times do you need to run to complete 5/6 of a mile

zzz [600]

Break the mile in to 6 pieces and run 5 parts of the mile

3 0

3 years ago

Read 2 more answers

I need the answer asap!!!! thanks!

vova2212 [387]

Y=-7/2x+1/2

i already typed the work out but something went wrong?
1. find slope
2. plug in slope to slope intercept form equation
3. plug in a point to find b
4. plug in slope, b to get equation

5 0

3 years ago