A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?

Answers

Answer 1

The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.

What is probability ?

Probability of something is the occurrence of a certain event out of the total events that can occur.

According to the given question

The total no. of chocolates in the box is

(5 + 5+ 5) = 15 chocolates.

The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.

There are 5 milk chocolates.

So, probability of getting a milk chocolate first is

P(mc) = 5/15

= 1/3

Now the the chocolate can no be replaced because it is eaten

Probability of getting a dark chocolate second is

P(dc) = 5/14                          (as the total no. of chocolate is reduced by 1

                                                                    because it has been eaten)  

And the probability of getting a white chocolate in 3rd attempt is

P(wc) = 5/13

As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is

P(mc) ∩ P(dc) ∩ P(wc)

= P(mc) × P(dc) × P(wc)

= (1/3 × 5/14 × 5/13)

= 25/546.

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Related Questions

help me please..... :))

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I hope this helps...


Please helpoppplllll mei need to complete this I will give brainly

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Answer:

(5,-6) I think

Step-by-step explanation:

 thanks for the help but I need this answer please!!!

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Answer:60 degrees

Step-by-step explanation:

Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees

If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?

Answers

Answer:

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

-16t^2 + 96t - 144 = 0

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds

92
7683

What the answer

Answers

Answer:

9

Step-by-step explanation:

Katie invested a total of ​$4000​, part at 2​% simple interest and part at 3​% simple interest. At the end of 1​ year, the investments had earned ​$90 interest. How much was invested at each​ rate?

Answers

Answer:

$3000

$1000

Step-by-step explanation:

the formula for simple interest = principal x time x interest rate

let the amount invested in the 2% investment be a

let the amount invested in the 3% investment be (4000 - a)

(a x 0.02 x 1) + ([4000 - a] x 0.03 x 1) = $90

0.02a + 120 - 0.03a = 90

Collect like terms and solve for a

0.01a = 30

a = $3000

The amount invested in the 3% investment be (4000 - a)  = $4000 - $3000 = $1000

Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.What is asked? 2.What are the given facts? 3.What is the opertaion to be used? 4.What is the number sentence? 5.What is the complete answer? 4. 5.

Answers

Answer:

1) The problem asks for the number of boxes than can be made from the yarn.

2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) We need to divide the total length of yarn by the length used to produce a box.

4) 20 boxes.

5) Gina can make 20 boxes from 90 meters of yarn.

Step-by-step explanation:

1) What is asked?

R/ The problem asks for the number of boxes than can be made from the yarn.

2) What are the given facts?

R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.

3) What is the operation to be used?

R/ We need to divide the total length of yarn by the length used to produce a box.

[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]

[tex]x = 20[/tex]

4) What is the number sentence?

R/ 20 boxes.

5) What is the complete answer?

R/ Gina can make 20 boxes from 90 meters of yarn.

Steph and heather run a 5k run race . Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course. How much farther does heather run than steph

Answers

Answer:

2.07 miles

Step-by-step explanation:

If Heather runs 3/3 of a lap around course. Steph runs 3/9 of a lap around the race course, the difference in the distance run by Heather and Steph is 3/3 - 3/9 = 1 - 1/3 = 2/3

Since a 5k run race is 3.1 miles, Heather goes 2/3 × 3.1 miles = 6.2/3 miles = 2.07 miles more than Steph.

25 coins for someone who can answer these for me fast i need the help because i have work for other classes.

Answers

Answer:

1. 5%

2. 37.5% decrease

PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?

A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)

Answers

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

HelP I have to turn this in tomorrow!!!

Answers

Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

$7.22/ft² (Verified Answer) ✅

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

I NEED HELP PLEASE !!!!!

Answers

Answer:

75°

Step-by-step explanation:

Find the difference between the angles.

112 - 37 = 75

PLEASE ANSWER QUICK I NEED HELP!!!

Use the graph to answer the question below.

What is the slope of the line given in the graph?

Answers

Answer:

_____________Y= -2X-10 __________

Answer:

y= -2/1x + 10

Part 3 of i need these

Answers

Answer:

x=11

a=116°

b=29°

c=35°

hope is helpful


Which table does NOT represent a linear function?

Answers

Answer:

table 4 does NOT represent a linear function

Step-by-step explanation:

HOPE IT HELPS ❤❤❤❤❤

Answer:

it's the one with 15,18,20,21

Step-by-step explanation:

Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant

(05.03 LC) What is the initial value of the function represented by this graph?
0
1
5
6

Answers

Answer: it is 1 :)

also i took the quiz and got it right! hope this helps!!

determine if the following statement is true or false. if it is false, rewrite the statement so it is true. if a function has an inverse, and the function contains the point (r,q), then the inverse also contains the point (r,q).

Answers

It’s false, just rewrite the statement but change the final part where it says the inverse also contains the point “(r,q)” as that’s wrong it would be the point (q,r)

A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?

(A) 4/5

(B) 9/4

(C) 9/13​

Answers

Answer:

(C) 9/13

Plzzzzz give me Brainliest!!!!!  

Answer:

C. 9/13

Step-by-step explanation:

It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously

y = 1^2-2x+4
find y pls

Answers

Answer:

y  =  − 2 x  +  5

Step-by-step explanation:

Try this

Answer:

y = −2x+5

Step-by-step explanation:

lmk if you need to see the work shown

Please help if you can. :) ASAP

Answers

Answer:

380 ft squared

Step-by-step explanation:

20 times 25 = 500 ft squared

but since there is air

12 times 10 = 120 ft squared

500 - 120= 380 ft squared

The area of the house is 260 square feet. Hope the math below helps!

20 times 25 = 500
12 times 10 = 120
15 times 8 = 120

120 + 120 = 240
500 - 240 = 260

Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.

Answers

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.

Answers

Answer:

[tex]-21 < 109[/tex]

Step-by-step explanation:

Given

[tex]Savings = \$109[/tex]

[tex]Checking = -\$21[/tex]

Required

Represent as an inequality

On a number line -21 comes before 109 (from left to right)

This means that -21 is smaller/lesser than 109.

So, the inequality that compares the two account values is:

[tex]-21 < 109[/tex]

(4x−3)(3x+6) how can i find the terms

Answers

Step-by-step explanation:

(4x-3)(3x+6)

4x(3x+6)-3(3x+6)

12x+24-9x-18

12x-9x+24-18

3x+6

x=6/3

x=2

Once again, I need help

Answers

Answer:

40x-24y

Step-by-step explanation:

how u need help, just do

8 times 5x

then 8 times -3y

Answer:

the answer to 3 is the first one, 40x-24y

PLEASE ANSWER QUICKLY!

Answers

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

Al, Bert, and Rob determined that the sum of their ages is 62. Bert is twice as old as Rob, who is 10 years older than Al. How old is each?

Answers

Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

Find the area of a circle with a diameter 6

Answers

A≈28.27 hope this helps!

Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP

Answers

It’s C. (4.2)

Explanation:
6x3=18

Then find the square root of 18

=4.2

find the length of side a ​

Answers

Answer:

Step-by-step explanation:

Answer:

the anser wouold be 5

Step-by-step explanation:

1 is too small 25 is too big 313 is out rageesty to big

y=3x, x+y=52
Solve by subtracting

Answers

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

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