Amy plays a game with an ordinary, fair dice.
If she rolls: 1 she wins, 2 or 3 she loses, 4, 5 or 6 she rolls again.
When she has to roll again: if she rolls an even number she wins
if she rolls an odd number she loses.
a) Work out the probabilities that should be
First roll
Second roll
placed at P, Q, R and S on the tree diagram.
Give your answers as fractions in the form a/b
P
Q
2 or 3
P:
Q:
R:
S:
R
even
4, 5 or 6
(1)
(1)
b) Work out the probability that Amy will win
and the probability she will lose.
Give your answers as fractions in the form a/b
S
odd
P(win) =
P(lose) =
(2)
(2)
Answers
Answer:
Ok so I’m stuck with this question too But I got the top part.
p=1/6
q=2/6
r=3/6
s=3/6
A) The probabilities placed at P, Q, R and S on the tree diagram are;
P = 1/6; Q = 1/3; R = 1/4; S = 1/4
B) The probabilities of her winning or losing is;
Probability that she will win = 5/12
Probability that she will lose = 7/12
A) From the given tree diagram, we can see that;At point P; Only 1 is rolled.
Since there are 6 possible numbers, then Probability at P = 1/6
At point Q; either 2 or 3 can be rolled.
Since there are 6 possible numbers, then Probability at Q = 2/6 = 1/3
At point R; 4,5, or 6 can be rolled on first roll.
Thus, Probability on first roll = 3/6
At R on second roll if she gets even, probability on second roll = 3/6
At S on second roll if she gets odd, probability on second roll = 3/6
Thus;
Overall probability at R = 3/6 × 3/6 = 1/4
Overall probability at S = 3/6 × 3/6 = 1/4
B) Probability that she will win are the probabilities at P and R.Thus, probability that she will win = 1/6 + 1/4 = 5/12
Probability that she will lose are the probabilities at Q and S.
Probability that she will lose = 1/3 + 1/4 = 7/12
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Related Questions
6.) Which is the best description of the equation
below?
2x-2y=6
Answers
A Cause I'm big brain and we learned that
Solve using Graphing. x-y=-7 2x+9y=19
Answers
Answer:
(-4, 3)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect would be the solution set to the systems of equations.
What is the answer to this question really need the answer
Answers
Answer:
A, B, D
Step-by-step explanation:
2 x 3x =6x - 2 times 9y which equals 18y+ and 2 times 18 equals 36 so 2(3x-9y+18)
If each of the numbers in the following data set were multiplied by 17, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36
A. 986
B. 1207
C. 476
D. 612
Answers
Answer:
B
Step-by-step explanation:
A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula,, where Volume and length, width, and height.
For a rectangular shaped box with a maximum capacity of 2.25 · 104 cubic meters, a length of 25 meters, a width of 2x meters and height of 1.5·102 meters, x =
meters.
Answers
Answer:B. C. D.
Step-by-step explanation:
Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answers
Answer:
−6cos( π/3 t)+21
Step-by-step explanation:
The length of the accordion is −6cos( π/3 t)+21.
How to derive a sinusoidal expression?We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.
Given
A = 5+1 = 6
Shift = 21
ω =- π/3[because of 4th quadrant]
exp = Asin[-ωt] + shift
=-Acosωt + shift = -6cosπ/3 t + 21
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BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answers
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for a certain item was twice as big as the original. By what percent was the first increase, if the second increase was 25%
Answers
Answer:
The first increase was of 60%.
Step-by-step explanation:
The initial value of the product is x.
The first increase was of y.
The second increase is of 25%, that is, 1.25.
The final price was double the original, so 2x.
This situation can be modeled by the following equation:
[tex]xy(1.25) = 2x[/tex]
We want to find y.
Simplifying by x
[tex]1.25y = 2[/tex]
[tex]y = \frac{2}{1.25}[/tex]
[tex]y = 1.6[/tex]
After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.
Express the quotient in simplest form.
x
x² - 4 ² x² - 6x
x3 +7x2 * x2 + 4x-21
Answers
Answer:
Try the examples below.
2 x ^− 2 x
x− 2/ x + 4 ≥ 0
9 /x + 8 − 2/ x + 7
Step-by-step explanation:
Im kinda confused tho how its set up but i still tried tho.
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.
Answers
Answer:
B is the better detergent
Step-by-step explanation:
If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.
The two laundry detergents B cleans better.
Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.
Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.
Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).
Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.
Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.
Hence, Out of the two laundry detergents, B cleans better.
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20 POINTS FOR THE FIRST PERSON TO ANSWER
Matt has a bag of candy form a party. The bag contains 8 chocolate bars, 5 pieces of gum,
8 lollipops, and 4 jawbreakers. Which statement is true?
A. The probability of randomly selecting a piece of gum is less than the probability of randomly
selecting a lollipop.
B. The probability of randomly selecting a chocolate bar is equal to the probability of randomly
selecting a jawbreaker.
C. The probability of randomly selecting a lollipop is greater than the probability of randomly
selecting a chocolate bar.
D The probability of randomly selecting a piece of qum is
Answers
Answer: its A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the probability of selecting a piece of gum is less because there's less gum in the bag then there are lollipops
A=
B=
Blank 1:
Blank2:
Answers
Answer:
a=3,b=1
Step-by-step explanation:
In a parallelogram opposite sides are equal/congruent.
Using this, we know that 3a-4=a+2 and b+1=2b
1st equation:
3a-4=a+2
-a -a
2a-4=2
+4 +4
2a=6
a=3
2nd equation:
b+1=2b
-b -b
b=1
a=3, b=1
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
Answers
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 9 different colors. Step 1 of 2 : How many selections of collars for the 5 dogs are possible if repetitions of colors are allowed
Answers
Answer:
59049 ways
Step-by-step explanation:
Given
[tex]Colors = 9[/tex]
[tex]Dogs = 5[/tex]
Required
Determine number of selection (repetition is allowed)
The number of collars is not given.
So, we'll assume that there are enough collars to go round.
If no repetition is allowed, each of the 5 dogs have 9 colours to select from.
i.e.
[tex]Dog\ 1 = 9[/tex]
[tex]Dog\ 2 = 9[/tex]
[tex]Dog\ 3 = 9[/tex]
[tex]Dog\ 4 = 9[/tex]
[tex]Dog\ 5 = 9[/tex]
So, the number of selection is:
[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]
[tex]Selection = 59049[/tex]
HHELLPPP PLEASW HIRRY I WILL MARK BRAINLIEST
Answers
Answer: 1/36
Step-by-step explanation: 18 x 18 = 324
3 x 3 = 9
9/324 = 3/108 = 1/36
Answer:
1/36! good luck! :D
Step-by-step explanation:
What would you tip for a $22 meal if you wanted to leave 15%?
$18.70
$4.40
$3.30
$25.30
Answers
Ashley ran from home to school in 10 minutes. what has her average speed, if the distance between her house and her school is 1.5 miles?
Answers
Answer:
0.15 miles per minute
Step-by-step explanation:
Average speed is in distance over time, so you could write:
1.5 miles / 10 minutes
Now, simplify:
.15 miles per minute
(hope this helps :-D)
Answer:
.15 miles per minute
Step-by-step explanation:
s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8
Work out
s
when
t
=
0.4
Answers
Answer:
s inversely proportional 1/t
s=0.3, t=8
s=k/t
0.3=k/8
k=0.3×8
k=2.4
find s when t=0.4
s=2.4/0.4
s=6.0 or 6
Is this correct? If not plz get answers 25points!!!
Answers
That is correct.
Sqrt 5 x sqrt20
Apply the radical rule to get sqrt( 5 x 20)
Simplify to get sqrt(100)
Sqrt(100) = 10
Find the unit rate of 624 calories in 3 servings. Its 8th grade math.
Answers
Answer:
you can look up the exact quizizz your taking and find all the answers
Step-by-step explanation:
for example: look up your question on the quizizz and then type it in the search bar and add quizziz to the end of it and you should find all your answers there<3
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answers
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
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Hey please help me answer this and explain your answer :)
Will give brainlst.
Answers
Answer:
B for banana
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS
Answers
Answer:
C: Two solutions
Step-by-step explanation:
If you try to solve the problame you can find to solution's
Hope this Help's
Answer:
lol too bad laurenercsp6fpli
Step-by-step explanation:
Geometry question plz help
Answers
Answer:
I think A
Step-by-step explanation:
what is 12+6x>99 help plz asaaap
Answers
Answer:
[tex] \frac{29}{2} [/tex]
please answer fast!!
I am really confused and I don't know what to do.
Answers
Answer:
C
Step-by-step explanation:
the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?
Answers
Answer:
40.20cm approx
Step-by-step explanation:
Step one
given data
We are told that the dimension of a computer screen
diagonal= 52 cm
height= 33cm
Length = ?
Required
The length of the base of the screen
Step two
Let us use Pythagoras theorem to find the length of the base
Hyp^2= Opp^2+ Adj^2
52^2= 33^2+ L^2
2704= 1089+L^2
L^2= 2704-1089
L^2= 1615
L=√1615
L= 40.20cm approx
The length is 40.20cm approx.
Howard is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 7 comedies, 7 mysteries, and 5 horror films. How many different combinations of 9 movies can he rent if he wants all 4 children's movies
Answers
Answer:
6188
Step-by-step explanation:
Number of children's movies = 4
Number of comedy movies = 7
Number of mystery movies = 7
Number of horror movies = 5
Total number of movies to be rented = 9 out of which 4 are fixed to be children's movies
To find:
Number of different combinations to rent 9 movies out of which 4 are children's movies
Solution:
Number of movies left to be rented = 9 - 4 = 5
Number of movies left out of which these 5 are to be rented = 7 + 7 + 5 = 17
Now, there are a total of 17 movies out of which 5 are to be selected.
Therefore, we can use:
[tex]_nC_r = \dfrac{n! }{r!(n-r)!}[/tex]
where, [tex]n = 17[/tex]
[tex]r = 5[/tex]
[tex]_{17}C_5 = \dfrac{17! }{5!(12)!}\\\Rightarrow \dfrac{17.16.15.14.13}{5.4.3.2.1} = \bold{6188}[/tex]
Help solve inequality
Answers
Answer:
n ≥ -95
Step-by-step explanation:
[tex]\frac{n}{-5}[/tex] -4 ≤ 15
[tex]\frac{n}{-5}[/tex] ≤ 19 add 4 to 15
n ≥ -95 multiple -5 to 19; sign flips when multiplying or dividing an inequality
Interest calculated only on the principle is
