Answer:
0, 1/18, and 1/36
Step-by-step explanation:
For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.
For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.
For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
We have,
The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."
Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.
Let's go through the cases:
i = 2 (only possible sum with two dice):
In this case, both dice must show a 1.
The probability of this happening on a fair 6-sided die is
(1/6) * (1/6) = 1/36.
i = 3: The combinations are (1, 2) and (2, 1).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 4:
The combinations are (1, 3), (2, 2), and (3, 1).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 5:
The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).
The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.
i = 6:
The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 7:
The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.
i = 8:
The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 9:
The combinations are (3, 6), (4, 5), and (5, 4).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 10:
The combinations are (4, 6) and (6, 4).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 11:
The combinations are (5, 6) and (6, 5).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 12:
The combination is (6, 6).
The probability of this happening is (1/6) * (1/6) = 1/36.
Now, sum up the probabilities for each case:
(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)
This simplifies to:
69/36 = 23/12
Thus,
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
-10+2= (operation of integers)
Answer:
-8
Step-by-step explanation:
Hi there! :)
-10+2=-8
Hope this helps!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
If two line are perpendicular which statement is true
What is the following sum???? Please help ASAP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex]7 \bigg( \sqrt[5]{ {x}^{2}y } \bigg)[/tex]just assume the whole thing in brackets as a single variable and perform addition ~
Can anyone help, im stuck
Answer:
The second one is right
Step-by-step explanation:
anyone help, im stuck
Answer:
The third one
Step-by-step explanation:
Since, 1 can be represented by x we can make an equation
2 can be represented y
and 4 can be represented by x
Since x + y = 180 and x + z = 180
y = z
Or 2 = 4
Brainliest please :)
What is 121 divided by 18?
Answer:
6.7222222222
Step-by-step explanation:
This Maths Is Easy, Y Did You Post It?
Answer:
=6.7222222222
Step-by-step explanation:
Easy peesy lemon squezy!
niomie bakes 24 cookies in 10 minutes. at this rate how many cookies can she bake in 30 minutes
Answer:
She can bake 72 cookies in 30 minutes
Step-by-step explanation:
24 · 3 = 72
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min
Answer:
6 minutes per kilometer
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Answer:
135 divided by 4
Step-by-step explanation:
` 10,800 for 3 years at 121 2% per annum compounded annually.
Answer:
15,173.22
Step-by-step explanation:
Looks like there's a typo in the question.
Should it be:
10,800 for 3 years at 12% per annum compounded annually.
-------------------------------
a = 10800 * (1.12)^3
a = 15,173.22
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
Answer:
Your mom
Step-by-step explanation:
I saw her yesterday
3 - k - 5k =3
i need help on this asap
Hello there!
3-k-5k=3
Combine like terms:
3-6k=3
-6k=3-3
-6k=0
k=0
Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
k = 0
Step - By - Step:
1. 3 - k - 5k = 3
3 - 6k =3
2. rearrange terms:
3 - 6k = 3
-6k + 3 = 3
3. Subtract 3 from both sides of the equation:
-6k_3=3
-6k+3-3=3-3
4. simplify:
-6k + 3 - 3 = 3 - 3
-6k = 3 - 3
-6k = 0
5. divide both sides of the equation by the same term:
-6k = 0
-6k/-6 = 0/-6
6. simplify:
k = 0/-6
expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Step-by-step explanation:
See the steps below:
[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]
An auditorium seats 48 students per row. A total of 1665 students are in the auditorium today. All the rows are full except for the front row. a. How many rows are in the auditorium? There are rows in the auditorium.
There are 35 rows in the auditorium.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
An auditorium seats 48 students per row.
And, A total of 1665 students are in the auditorium today.
Now,
Since, An auditorium seats 48 students per row.
And, A total of 1665 students are in the auditorium today.
Hence, Number of rows in the auditorium = 1665 / 48
= 35
Thus, Number of rows in the auditorium = 35
Learn more about the divide visit:
https://brainly.com/question/169670
#SPJ2
which expression means the same as subtract from 7 and then multipy by 4
Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!
Step-by-step explanation:
Answer:
[7-3]4 or [7-3]x4 your welcome hope it helps!
Step-by-step explanation:
3/5 + (-4/11)...........
Answer:
13/55
Step-by-step explanation:
(3/5) + -(4/11) = (3/5) - (4/11) = (33/55) - (20/55) = (13/55)
Tell me if I'm wrong :)
[tex]\dfrac 35 + \left( -\dfrac 4{11} \right) \\\\\\=\dfrac35 - \dfrac{4}{11} \\\\\\=\dfrac{13}{55} \approx 0.24[/tex]
1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)
Answer:
A
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 2x² - 4x + 5 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3
vertex = (1, 3 ) → A
123, 472 to two decimal places
Answer:
123.00 and 472.00
Step-by-step explanation:
can't really do much except add 0's since those numbers are whole numbers
If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
Find the value of Y - triangle measurments
PLEASE HELP! I WILL GIVE BRAINLIEST!
Answer:
y=8
Step-by-step explanation:
6y=8y-16
-2y=-16
y-8
congurnet side have congruen angles
[tex]\\ \sf\longmapsto <N=<P[/tex]
[tex]\\ \sf\longmapsto 6y=8y-16[/tex]
[tex]\\ \sf\longmapsto 8y-6y=16[/tex]
[tex]\\ \sf\longmapsto 2y=16[/tex]
[tex]\\ \sf\longmapsto y=8[/tex]
Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.
Why are negative exponents not positive.
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:
48 grapes,
Step-by-step explanation:
Firstly, let's sum up the ratio,
6+6+12=24
The fraction of grapes is therefore, 6÷24 or ¼
A ¼ of 192 is 48.
Signifying, there are 48 grapes.
A cheerilee teen willing to help,
stay positive, safe and Brainly!
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:-48 grapes
Explanation:-look at the attached picture :)
parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Line A can be simplified to 1/5x = y.
Line B can be simplified to y = 1/5x + 16.
They both have the same slope, 1/5, so they will be parallel.
Answer:
Parallel
Step-by-step explanation:
Same thing as the last one. Put it in [tex]y=mx+b[/tex]
A: [tex]y=1/5x[/tex]
and
B: [tex]y=1/5x+16[/tex]
These lines are parallel because they have the same slopes, but different y-intercepts.
The product of −2 and a number x is greater than 30. Whats the solution of the inequality.
Answer: x < -15
Step-by-step explanation:
(-2)*(x) > 30
x < -15 The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).
what would the answer be need help
Answer:
The equation would change to be f(x) = 12x + 50
Step-by-step explanation:
The equation given follows the form y = mx + b. In the equation, m = the charge in dollars per person, with x representing the amount of people, and b = the initial reservation fee.
This means that if you change the charge per person, the m value will change, and if you change the reservation fee, the b value will change.
Thus, your new equation will be f(x) = 12x + 50
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
Can someone help me please
Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER