There is only one possible outcome that can result in a 7: rolling a 1 and a 6 or rolling a 2 and a 5 or rolling a 3 and a 4 or rolling a 4 and a 3 or rolling a 5 and a 2 or rolling a 6 and a 1. As a result, the probability of rolling a 7 is 1/6.
The probability that is determined based on the classical approach when playing Monopoly is that the probability of rolling a 7 on the next roll of the dice is determined to be 1/6.The classical approach is a statistical method that assesses the likelihood of an event based on the possible number of outcomes.
It's used to predict future events by counting the number of possible outcomes of an event. For example, the probability of getting a head or tail when flipping a coin is 1/2.
When rolling a dice, there are six possible outcomes; each side of the dice has a number, therefore the probability of rolling a 7 is 1/6.Based on the classical approach, probabilities are calculated by dividing the number of favorable outcomes by the total number of outcomes.
Thus, for the given example, the probability of rolling a 7 is calculated by dividing the number of possible outcomes resulting in a 7 by the total number of possible outcomes.
In this case, there is only one possible outcome that can result in a 7: rolling a 1 and a 6 or rolling a 2 and a 5 or rolling a 3 and a 4 or rolling a 4 and a 3 or rolling a 5 and a 2 or rolling a 6 and a 1. As a result, the probability of rolling a 7 is 1/6.
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A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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What is the area of the hexagon?
5 cm
8 cm
9.28 cm
46.4 cm2
60.32 cm2
74.24 cm?
57.12 cm
The area of the hexagon is 57.12 cm².
How to find the area of the hexagon?A hexagon is a six-sided polygon. The word "hexagon" comes from the Greek words "hex", meaning six, and "gonos", meaning angle.
Hexagons can be regular, meaning that all six sides are equal length and all six angles are equal measure. Regular hexagons have interior angles of 120° each.
The area of the hexagon can be determined by dividing the hexagon into two equal trapezoid. Thus, the height will be divided into two. That is:
Area of hexagon = (5 + 9.28) * (8/2)
Area of hexagon = 14.28 * 4
Area of hexagon = 57.12 cm²
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Rick has 3 pencils, they measures 9.7 inches, 6.25 inches and 8.5 inches respectively. What is the total length of the pencils altogether?
Answer:
24.45 inches altogether
Step-by-step explanation:
9.7 inches + 8.5 inches + 6.25 inches = 24.45 inches
A truck used 28 gallons of gas when driving 1008 miles. What is the rate per gallon?
Answer:
36 miles per gallon (mpg)
Step-by-step explanation:
To solve this problem, you are going to divide the total miles driven by the total gallons of gas used. This will mean that you will divide 1008 miles by 28 gallons. This will result in a final answer of 36 miles per gallon. My work is below and please let me know if you have any questions!
1008 / 28 = 36 miles per gallon
Answer:
1 gallon = 36 miles
Step-by-step explanation:
In order to find out you need to divide 2008 miles by 28 gallons
The diagram shows several points and lines.
4 intersecting lines are shown. A horizontal line contains points K, N, R. A vertical line contains points M, N, Q. Another line intersects the lines at points K and M. Another line has points J, K, and Q. Points L and P are not on the lines.
Which statements are true based on the diagram? Select two options.
Points K, M, and N are collinear.
Points J, K, and Q are collinear.
Point R is the intersection of line KN and line MQ.
Lines JQ, KM, and MQ all intersect at point K.
There is only one line that can be drawn through points L and P.
Answer:
B & E
Step-by-step explanation:
edge 2020
Answer:
b and e
Step-by-step explanation:
daddyyyyyyyyyy
Find the equation of the line that goes through the point
(-2,5) and a slope = -4
Submit
Please help
Answer:
y=-4x-8
Step-by-step explanation:
use the equation y-y1=m(x-x1) and solve for y
Answer:
y=-4x-3
Step-by-step explanation:
For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:
(y-5)=-4(x+2)
y-5=-4x-8
y=-4x-3
hope this helps! :)
(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Here,
Area of 2 rectangles is
2(Length×Width)
= 2(20×12)
= 480 square feet
Area of small rectangle = 12×8.5
= 102 square feet
Area of 2 triangles = 1/2×Base×Height
= 1/2 ×20×8.5
= 85 square feet
Total area = 480+102+85
= 667 square feet
Total cost to build the ramp = 667×2.20
= $1467.4
Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.
Hence, Santiago’s has over budget to build the ramp.
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"Your question is incomplete, probably the complete question/missing part is:"
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = \(\pi\)r
= 30 x \(\frac{22}{7}\)
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = \(\pi\)r
= 33 x \(\frac{22}{7}\)
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
designs for their
In popular online role playing game, players can create detailed
character's "costumes," or appearance. Abigail sets up a website where players can
buy and sell
these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
146 visitors purchased no costume.
230 visitors purchased exactly one costume.
A
31 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
The probability that the next person will purchase exactly one costume is 0.57.
what is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
146 visitors purchased no costume.
230 visitors purchased exactly one costume.
31 visitors purchased more than one costume.
So, the total number of customers are,
146 + 230 + 31 = 407
The total visitors purchased exactly one costume are 230.
So,
P(Purchase exactly one costume) = 230 / 407 = 0.5651 ≈ 0.57
Hence, the probability that the next person will purchase exactly one costume is 0.57.
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I need help ASAP, will give brainliest. Also please give reasoning
Answer: S and T.
Step-by-step explanation:
I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.
the highest level of the corporate social responsibility pyramid is
The highest level of the corporate social responsibility pyramid is philanthropic responsibility.
The corporate social responsibility (CSR) pyramid is a framework that categorizes the various levels of social responsibility that companies can demonstrate. It is often depicted as a pyramid with four distinct levels, with each level building upon the previous one. The highest level of the CSR pyramid is philanthropic responsibility.
The four levels of the CSR pyramid are:
Economic Responsibility: This is the foundation of the pyramid and represents a company's obligation to be profitable and contribute to the economy by providing goods, services, and employment opportunities.
Legal Responsibility: The next level involves a company's compliance with laws and regulations. It signifies that a company should operate within the legal framework and fulfill its legal obligations.
Ethical Responsibility: This level goes beyond legal compliance and requires a company to conduct its business in an ethical and moral manner. It involves behaving responsibly and doing what is right, even if it is not explicitly required by law.
Philanthropic Responsibility: The highest level of the CSR pyramid is philanthropic responsibility. It represents a company's voluntary efforts to contribute to society and make a positive impact through charitable donations, community involvement, and social initiatives. Philanthropic responsibilities are often seen as going above and beyond what is expected or required of a company.
The highest level of the corporate social responsibility pyramid is philanthropic responsibility. It signifies a company's voluntary actions to contribute to society and make a positive impact through charitable donations, community involvement, and social initiatives. While economic, legal, and ethical responsibilities are important, philanthropic responsibility represents a company's commitment to giving back and making a difference in the communities it operates in.
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A little lost, would appreciate the help!
In basketball, a successful free throw is worth 1 point, a basket made from inside the 3-point arc is worth 2 points, and a basket made from outside the 3-point arc is worth 3 points. How many of each type of basket did Pilar make?
Answer:
12 free throws
10 2-pointers
4 3-pointers
Step-by-step explanation:
Let x = 1 point
y = 2 point
z = 3 point
x + y + z = 26
x = y + 2
x = 3z
Let's make it to where the last two equations are in terms of x
Subtract 2 from both sides of the middle equation
x = y + 2
- 2 - 2
y = x - 2
Divide both sides by 3 in the bottom equation
x/3 = 3z/3
z = x/3
Now plug in the new y and z
x + x - 2 + x/3 = 26
2x + x/3 - 2 = 26
Add 2 to both sides
2x + x/3 - 2 = 26
+ 2 + 2
2x + x/3 = 28
Add up the x terms and don't forget about common denominators
6x/3 + x/3 = 28
7/3x = 28
Multiply both sides by 3/7 to isolate the x variable
(7/3x = 28)3/7
x = 12
Now plug the new x into the original equations to find the remaining variables.
12 = y + 2
- 2 - 2
y = 10
12 = 3z
12/3 = 3z/3
z = 4
12 free throws
10 2-pointers
4 3-pointersAnswer:
Step-by-step explanation:
let an = 4n 5n 1 . (a) determine whether {an} is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter diverges.)
The sum of the sequence is 4.
To determine whether the sequence {an} = 4n / (5n + 1) converges or diverges, we can use the limit test.
Taking the limit as n approaches infinity, we have:
lim(n→∞) an = lim(n→∞) 4n / (5n + 1)
Dividing both numerator and denominator by n, we get:
= lim(n→∞) 4 / (5 + 1/n)
Since 1/n approaches zero as n approaches infinity, we have:
= 4/5
Therefore, the limit of the sequence as n approaches infinity exists and is equal to 4/5.
Since the limit exists, we can say that the sequence converges. To find the sum of the sequence, we can use the formula for the sum of an infinite geometric series:
S = a1 / (1 - r)
where a1 is the first term of the sequence and r is the common ratio.
In this case, we have:
a1 = 4/6
r = 5/6
Substituting these values into the formula, we get:
S = (4/6) / (1 - 5/6)
= (4/6) / (1/6)
= 4
Therefore, the sum of the sequence is 4.
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2 1/2 pounds =. Ounces
I need help
Answer:
32 and a half
Step-by-step explanation:
The figure below is dilated by a factor of 1/2 centered at the origin plot the resulting image
The resulting image considering a dilation of the figure by a factor of 1/2 is given by the graph at the end of the answer.
What is the effect of a dilation on a image?
For a dilation in a image, we multiply the coordinates of each vertex of the figure by the scale factors.
For the original figure graphed, the vertices are given as follows:
S(4,-6).
T(4,2).
U(-2,2).
V(-2,0).
W(-4,0).
The dilation has a scale factor of 1/2, meaning that the coordinates are multiplied by 1/2, hence the coordinates of the resulting image are given as follows:
S'(2,-3).
T'(2,1).
U'(-1,1).
V'(-1,0).
W'(-2,0).
The dilated figure is given by the graph at the end of the answer, having the same format as the original figure, just with smaller side lengths due to the dilation with a scale factor less than 1.
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write an equation in slope-intercept form for the line perpendicular to y=−4x 1y=-4x 1 that passes through the point (−7,1)-7,1.
The equation in slope-intercept form for the line perpendicular to \(\(y=-4x+1\)\) that passes through the point \(\((-7,1)\)\) is \(\(y = \frac{1}{4}x + \frac{5}{4}\)\).
The given equation represents a line with a slope of -4. To find the slope of a line perpendicular to it, we take the negative reciprocal of the slope, which is \(\(\frac{1}{4}\)\). Using the point-slope form of a line, we can substitute the values of the slope \((\(\frac{1}{4}\))\) and the coordinates of the given point \((\((-7,1)\))\) into the equation. The point-slope form is \(\(y - y_1 = m(x - x_1)\),\) where \(\((x_1, y_1)\)\) represents the coordinates of the point and m is the slope. By substituting the values, we get \(\(y - 1 = \frac{1}{4}(x + 7)\)\). To convert this equation into the slope-intercept form \((\(y = mx + b\))\), we simplify it to \(\(y = \frac{1}{4}x + \frac{5}{4}\)\), where \(\(\frac{5}{4}\)\) is the y-intercept. Thus, the equation in slope-intercept form for the line perpendicular to \(\(y = -4x + 1\)\) that passes through the point -7,1 is \(\(y = \frac{1}{4}x + \frac{5}{4}\)\).
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How is scientific notation useful in the real world?
Answer:
You're less likely to make mistakes reading or writing very big and very small numbers if you use scientific notation. It also makes it much easier to tell at a glance which numbers are bigger or smaller without counting long strings of zeros.
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
. Evaluate | 7 | = ?
Answer:
Step-by-step explanation:
Select the correct answer. The elevations of five points below sea level are given here. Which elevation is closest to sea level? A. -50 feet B. -68 feet C. -77 feet D. -86 feet E. -97 feet
Answer:
the answer is B i think
Step-by-step explanation:
registrants at a large convention are offered 6 sightseeing tours on each of 3 days. in how many ways can a person arrange to go on a sightseeing tour planned by this convention?
The registrants would be able to see the 6 sightseeing tours in 18 ways.
Here it is given that the convention has organized the 6 sightseeing tours on 3 days each.
This implies that the 6 sightseeing tours are available on all three days.
Hence, the registrants would be able to book the tour on any of the one days.
Hence, on day 1
the registrants will be able to tour in ways
On day 2
the registrants would again be able to tour in 6 ways,
Similarly on day 3, they will again be able to tour in 6 ways.
Since they need to choose either of the days given, the total number of ways to tour will be
no.of ways for day 1 + no. of ways for day 2 + no. of d6ays for day 3
= 6 + 6 + 6
= 18 ways
Hence, they can go on a sightseeing tour in 18 ways.
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Using R Studio: generate a random sample of size 100 from the Slash distribution without extra packages
Use the rslash() function in R Studio to generate a random sample of size 100 from the Slash distribution.
To generate a random sample of size 100 from the Slash distribution without using extra packages in R Studio, you can use the inverse transform method. The Slash distribution is a continuous probability distribution with a density function given by f(x) = 1 / (π(1 + x^2)).
First, generate a random sample of size 100 from a uniform distribution on the interval [0, 1]. Then, transform the uniform random numbers using the inverse cumulative distribution function (CDF) of the Slash distribution, which is given by F^(-1)(x) = tan(π(x - 0.5)). This will map the uniform random numbers to the corresponding values from the Slash distribution.
In R Studio, you can use the following code to generate the random sample:
# Set seed for reproducibility
set.seed(42)
# Generate uniform random sample
uniform_sample <- runif(100)
# Transform uniform random sample to Slash distribution
slash_sample <- tan(pi * (uniform_sample - 0.5))
The slash_sample variable will contain the generated random sample of size 100 from the Slash distribution.
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From 93 books to 144 books
51 Books
I think this is what you're looking for?
The radius of a circle is 16 miles. What is the circle's circumference?
Answer:
100.53 miles
Step-by-step explanation:
C=2πR
because your radius is 16 miles, you can just plug in your numbers:
C=2π(16)
C=100.53 miles
A deck of cards was shuffled and after each shuffle, the suit of the top card was recorded. The table shows theprobability of each outcome. What is the probability that the top card is not a heart?
Answer:
\(0.72\)Explanation:
Here, we want to get the probability that the top card is not a heart card
Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1
Let the event that a heart card is the top card be H
\(P(H)\text{ + P(H') = 1}\)We already have P(H) as 0.28
Thus:
\(\begin{gathered} 0.28\text{ + P(H') = 1} \\ P(H^{\prime})\text{ = 1-0.28} \\ P(H^{\prime})\text{ = 0.72} \end{gathered}\)3,108 + 5,468 6987 +907
Answer:16470
Step-by-step explanation: I don’t know if there all adding together cause there’s not much information
Answer:
54,691,002
Step-by-step explanation:
is 0 a solution to 2x +0 =4x+10 explain how
Answer:
No, x=-5 is the answer
Step-by-step explanation:
Did this before, trust me
Find the surface area of the cone pls
The surface area of the cone will be 29.97 square centimeters.
Given that:
Diameter, d = 11 cm
Slant height, l = 7.2 cm
The radius of the base circle of the cone is calculated as,
r = d / 2
r = 11 / 2
r = 5.5 cm
Let l be the slant height of the cone and A be the base area of the cone. The surface area of the cone will be given as,
Surface area = πr (l + r)
The surface area of the cone is given as,
SA = 3.14 x 5.5 x (7.2 + 5.5)
SA = 17.27 x 12.7
SA = 29.97 square cm
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I need help finding the m with m
The value of x in the angles is 17
How to determine the value of x?The angles are given as
3x + 10 and 2x - 5
These angles are complementary angles
So, we have
3x + 10 + 2x - 5 = 90
Collect the like terms
So, we have
3x + 2x + 10 - 5 = 90
Evaluate the like terms
So, we have
5x = 85
Divide both sides by 5
x = 17
Hence, the value of x in the angles is 17
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