Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
solve inequalities by using transformation rules? 7(x-2)<4x-8
Answer:
x < 2
Step-by-Step Explanation:
Please help me fill in the blanks :)
Answer:
Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.
A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.
A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.
I don't understand the last paragraph though. Hope this helped :D
Step-by-step explanation:
True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a square.
Answer:
False.
Step-by-step explanation:
The diagonals are at right angles ( because of the negative reciprocal slopes)
so it could be a square or a rhombus.
The given figure can be a rhombus or square.
What is square?The square is a 4 - sided figure, each side of the square is equal and makes a right angle.
The area of a square having sided a unit can be given by a² square unit.
Given that,
A figure has equal length of opposite sides.
Also, slopes and diagonals are equal with negative reciprocals.
Since, The square and rhombus both have equal sides and equal diagonals,
But a square makes right angle on sides.
In the given question, right angle is not given.
Therefore, the figure can be square or rhombus.
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Please help
What is the domain and range of the function
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)
Select the graph of the equation y + x + 3 = 0.
Answer:
C.
Step-by-step explanation:
The picture I took is underneath.
Answer the following for 10 points
Answer:
Regional metamorphism
Step-by-step explanation:
(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)
It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.
It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.
It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.
It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.
*log x raised to n is the same as log n divide log x *
a. False
b. True
At which x-value does the cosine function attain a maximum value?.
Answer:
cos(x) = ???
so the maximum cosine can be is 1 and that happens when x = 0
I'm pretty sure that's what you meant...
The value of x where the cosine function attains a maximum value is 0.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cosine function.
The value of cos 90° is 0.
The value of cos 0° is 1.
The value of cos 30° is √3/2.
The value of cos 60° is 1/2.
We see that the cosine function has the maximum value at zero degrees.
Thus,
Cos x has the maximum value at x = 0.
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Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 39." What is Julio's number?
Julio's number is?
Answer:
30
Step-by-step explanation:
first, create two equations.
let x = Julio's number and y = answer for Julio's number substrates 17
[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]
by using substitution method, you will get
[tex]x = 30 \\ y = 13[/tex]
so the answer is 30
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 7 units, then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7
Answer:
k = 7
Step-by-step explanation:
Vertical shift down by 7units, f(x) - 7
g(x) = (0.5)x - 7
g(x) = (0.5)x - k
Comparing both equations, k = 7
Answer:
k = 7
Step-by-step explanation:
it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.
Calculate the value of (225 ÷ 0.25) – 11.875
Answer:
888.125
Step-by-step explanation:
(225/.25) - 11.875
(Divide 225 by .25)
900 - 11.875
888.125
y=-4(5)x for x=2 Evaluate the problem
Answer:
y = - 100
Step-by-step explanation:
Assuming you mean
y = - 4[tex](5)^{x}[/tex] ← substitute x = 2
y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100
please help dont want to fail final exam
How much does she earn if she does not make any sales on a given day?
Question 7 options:
$75
$175
$0
$25
Answer:
$75 I think. Not 100% sure but like 95% sure :)
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
its A
Step-by-step explanation:
what is the least common denominator of 10 and 14
Answer:
70
Step-by-step explanation:
Given -
the least common denominator of 10 and 14 is - *70*
Prime factor of 14 are 2 and 7
14 = 2 * 7
Prime factor of 10 are 2 * 5
10 = 2 * 5
Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10
LCM (10,14) = 2 * 5 * 7
LCM (10,14) = 70
There are 93 calories in 3 cups of popcorn. How many calories are in 4.5 cups of popcorn?
Answer: I think its 106 calories
Step-by-step explanation:
sorry if im wrong
Recommendations Skill plans A Math FL Standards Algebra 1 > J.10 Solve one-step and two-step equations: word problems UFG You have prize On a sunny fall day, Raymond and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs 20 pounds. In all, Raymond's family picks 44 pounds of apples. Which equation can you use to find the weight w of the Golden Delicious apples? W + 20 = 44 20w = 44 W - 20 = 44 = 44 20 Solve this equation for w to find the weight of the Golden Delicious apples. pounds Submit
(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.
(b) The weight of the Golden Delicious apples is 24 pounds.
Let the weight of the Golden Delicious apples = WWeight of the Honeycrisp apples = 20 lbTotal weight of the apples = 44 lb
The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;
Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples
W + 20 = 44
The weight of the Golden Delicious apples is calculated as follows;
W + 20 = 44
collect similar terms together;
W = 44 - 20
W = 24 lb
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Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left?
A. 3 3/4 feet
B. 4 1/12 feet
C. 4 3/4 feet
D. 8 7/12 feet
Please keep answer simple, and no absurd, out of context answers, thank you!
If you were to graph the function f(x)=−15x+4 on the semester test, you should first graph the y-intercept, then use the slope to graph a second point, and connect the points with a line.
Write the y-intercept of the function f(x)=−15x+4 in the first box. Just write the number, no y= or f(x) =.
Write the slope of the function f(x)=−15x+4 in the second box. Just write the number, no m= or slope=.
Answer:
4
-15
Step-by-step explanation:
100 Point question answered ASAP for brainliest!
Step-by-step explanation:
that is really easy too easy for that many points.
it is truly simple :
the graph (and with it the function) is shifted down by 3 units.
that means everything of the function stays the same, just the functional results are consistently lowered by 3.
so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10
that is really all there is to it.
Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answer: The answer is C.
help with this problem pls
Answer:6_1/4
Step-by-step explanation:
They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.
This means that you just have to divide 18_3/4 bu 3, which is 6_1/4
what is the correct answer to: 0.9 x (8.2 x 20.35)
Answer:
150.183
Step-by-step explanation:
0.9 x (8.2 x 20.35) =
0.9 x (166.87) =
150.183
50 Point Question Answer ASAP giving brainliest
Answer:
the reminder is 5 and the quotient is 2x+4
Bones or no bones day?
Answer:
I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...
Step-by-step explanation:
Answer:Bones Day
Step-by-step explanation:
It costs Chevy $20,000,000 to develop and market a new model of a car. The company sells each car for $25,000, How many cars
must Chevy sell to make more than
$5,000,000 in profits?
Answer:
I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.
Step-by-step explanation:
Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:
5,000,000 = 25,000x -20,000,000
Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.
25,000,000=25,000x
x=1,000
we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.
Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?
Answer:
y = [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 8 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (6, - 1 ) into the partial equation
- 1 = 3 + c ⇒ c = - 1 - 3 = - 4
y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line
A recipe that makes 24 cupcakes calls for 5 1/2 cups of flour. How much flour is needed to make 30 cupcakes?
A. 5 7/8 cups
B. 6 1/2 cups
C. 5 3/4 cups
D. 6 7/8 cups
Answer: D hope this helps
Martin has read 40% of a book. He has 48 more pages to finish. How many pages are there in the book?
Answer: There are 80 pages in Martin's book.
48 pages = 60%
divide by six
8 pages = 10%
mulitiply by 10
80 pages = 100%
Hope this helps :)
Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.
