Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:

What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?

A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Answer:

do you just need the letters or... cuz the letters dont spell anything

Step-by-step explanation:

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

Answer:

D. y + y + y + y

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer.

Step-by-step explanation:

Answer:

A. X=3

B. X=19/5

That the answer for your question.

Step-by-step explanation: Hope this help :D

Answer:

The tree is about 62ft tall

Step-by-step explanation:

sin(62)=x/70

70sin(62)=x

61.8=x

Answer:

the one with the most parts citric acid

Step-by-step explanation:

no tables were provided but if a cup is 3/4 water and 1/4 citric acid and the other is 1/4 water and 3/4 citric acid then it's the second one. Basically it the one with the most citric acid.

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Its rational

If ur sqare rooting it than yes it is

Answer: n=5

have an amazing day <3

Answer:

No it is not a factor

Step-by-step explanation:

Reason for not being a factor is 3x^3-4x^2-4x. 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x. Factor x x out of 3x3−4x2−4x 3 x 3 - 4 x 2 - 4 x

Answer:

- 3+2x/x-3

Step-by-step explanation:

Answer:

113.04 is our answer

Step-by-step explanation:

When finding Area the formula to do so is

radius x radius x pi

Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So

3.14 x 36 = 113.04 So c is our answer!

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.

Answer:

Step-by-step explanation:

11, 10 (first side)

10,7 (2 side)

Answer:

The square root will be about 4 because the formula for square root is √(x^2) = x

Step-by-step explanation:

Answer:

√18 = √(2x9) = 3√2. so they pulled the 2 out of the square root incorrectly.

4x4 = 16

5x5 = 25

so √18 is between 4 and 5. closer to 4

Step-by-step explanation:

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Gradient/ slope = [tex]\frac{-8-7}{ 5-2}[/tex](change in y/ change in x)

= [tex]\frac{-15}{3} = -5[/tex]

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Answer:

The answer to this question is 3333/50

Answer:

66.66 as a fraction is [tex]{66}\frac{33}{50}[/tex]

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Step-by-step explanation:

See comment for complete question

Given

Let

[tex]D = Dominic[/tex]

[tex]R = Rachel[/tex]

So:

[tex]D = 2\frac{3}{4}[/tex]

and

[tex]R =1\frac{1}{3}[/tex] as long as D

Required

Determine the number of hours spent by Rachel

This implies that:

[tex]R =1\frac{1}{3}[/tex] as long as D

Rewrite as:

[tex]R =1\frac{1}{3} * D[/tex]

Substitute: [tex]D = 2\frac{3}{4}[/tex]

[tex]R =1\frac{1}{3} * 2\frac{3}{4}[/tex]

Express as improper fraction

[tex]R =\frac{4}{3} * \frac{11}{4}[/tex]

This gives:

[tex]R =\frac{1}{3} * 11[/tex]

[tex]R =\frac{11}{3}[/tex]

Express as mixed numbers

[tex]R =3\frac{2}{3}[/tex]

Hence, Rachel worked for [tex]3\frac{2}{3}[/tex] hours

Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour

Answer:

-1.8, -2.1, -2.5, -2.7

hope it helps.

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

Answer:75

Step-by-step explanation:

Answer:

Lol

Step-by-step explanation: