The probability of the given event is 1/9.
The odds against the event are 8 to 1.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
When we roll 2 dice, then
Sample space i. e possible outcomes are
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 5), (1, 6),
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
n(S) = 36
Let A be the event of getting a total of 5.
Therefore,
A = {(1, 4), (2, 3), (3, 2), (4, 1)}
⇒ n(A) = 4
⇒ P(A) = Probability of A = n(A) / n(S) = 1 / 36 = 1/9
(a) Probability of given event = 1/9
(b) Odds against the event = 1- P(A) / P(A)
= (1 - 1/9) / (1/9)
= (8/9) / (1/9)
= 8/9 x 9/1
Odds against the event = 8/1
The reduced odds against the event are 8 to 1.
Hence, the probability of the given event is 1/9.
The odds against the event are 8 to 1.
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what is 4 + X ≤ - 28?
Answer:
x≤−32
Step-by-step explanation:
What type of number is 15.301i?
Choose all answers that apply:
Real
Imaginary
Complex
The number 15.031i is an Imaginary number.
What is a complex number?
Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and i is a fictitious number called a "iota." i has the value (√-1).
What is a real number?
A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.
Given number is 15.031i.
Iota is denoted by i which is an imaginary number.
Since no real number is not added with given number, it is not a real number.
Since iota presents in the given number, it is an imaginary number.
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ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.
Answer: 31.99$ or 32$
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 39.99 × 20/100
Discount = 39.99 x 0.2
You save = $8.00
Final Price = Original Price - Discount
Final Price = 39.99 - 7.998
Final Price = $31.99
Answer:
x/39.99 is the same as 20%/100% so you would cross multiply 39.99 x 20 then divide by 100 which is 16.8 then add 39.99 - 16.8 to get $23.19.
What is the least common multiple mulitiple of 8 and 12
Answer: 1728
Step-by-step explanation:
multiples of 8 = 1,2,4,8
multiples of 12= 1,2,3,4,6,12
Which function has a domain of all real numbers?
A. y = (1 + 2)
B. y = -2(3r)
C. y = (20) - 7
D. y = - +
+5
On solving the following question, the function that has domain of all real numbers is - [tex]y = -2(3X)^{\frac{1}{6} }[/tex]
What are real numbers?All numbers that we can recall are real numbers except complex numbers. The union of the set of rational numbers and the set of irrational numbers is the set of real numbers denoted by the symbol R.
What are rational numbers?A rational number is any number that can be expressed as the ratio p/q. The fraction's denominator is denoted by "q," while the numerator is represented by "p." "q" is not zero.
Both 5 and 1/2 are actual figures. X also defines a number, but since it's negative, it's an integer because it's rational.
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Each participant tastes snack A and snack B and them choses their favorite. Some participants have eaten snack A before and some have not. The results of the test are shown in the table. Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person. Complete the conclusions based on the data on the table.
Given a person who has eaten snack A before, the customer will __.
Options:
Stay with snack A.
Change to snack B
Given a person who has not eaten snack A before, the customer will want to eat snack __.
Options: A or B
Table below:
The conditional probability values are 0.57 and 0.43
Missing information
Has Eaten before Have not Total
Snack A 144 108 252
Snack B 92 228 320
Total 236 336 572
Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.
Given a person who has eaten snack A before, the customer will want to eat snack A
Given a person who has not eaten snack A before, the customer will want to eat snack
How to determine the probabilities?
The required probabilities are conditional probabilities, and they are calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula, we have:
The probability that a customer eats snack A given that the customer has eaten snack A before, to be:
P = n(Have eaten snack A)/n(Snack A)
This gives
P = 144/252
Evaluate
P = 0.57
Also, we have:
The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:
P = n(Have not eaten snack A)/n(Snack A)
This gives
P = 108/252
Evaluate
P = 0.43
Hence, the probabilities are 0.57 and 0.43
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What is Step 2 of comparison shopping?
Step 2 of comparison shopping is to assess the purchase objectively.
Comparison shopping may be defined as a method of studying and understanding various product costs prior to making a purchase. Retailers typically use comparison shopping to determine the price at which their rivals are offering a given product on the market. Nowadays, the majority of consumers purchase their goods online, making comparison shopping a sort of trend.
As a result of this growing tendency, numerous online shopping portals have emerged. Some of the most well-known online retailers include Flipkart, Myntra, and Amazon. Because they offer many product categories in each part, these websites can be categorized as a type of online price comparison website.
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You make 20 bracelets in 5 hours. How many bracelets do you make per hour?
Answer:
4
Step-by-step explanation:
The answer is 4.
[tex]20 / 4=5[/tex]
Identify the slope for the given line. What does the slope represent?
Answer:
25 m/s²
acceleration
Step-by-step explanation:
m = (100 - 25)/(4 - 1) = 75/3 = 25 m/s²
The slope is the rate of change in velocity as a function of time.
The rate of change of velocity is called the acceleration.
Which is the graph of f/x x2 2x 3?
THE GRAPH IS ATTACHED ALONG WITH THIS
The parabola has a minima, vertex and a y-intercept.
Given,
Since the equation is quadratic, the parabola has a vertex. To find it, do as follows:
x = -b/2a
Where:
a=1
b=-2
Then:
x = -(-2)/ 2 × 1 = 1
Substitute this into the equation to obtain y:
y = 1² - 2 × 1 + 3 = 2
The point of the vertex is (1,2)
The sign of a is positive, therefore, the parabola has a minimum.
Substitute x=0 into the equation to find y-intercept:
y = 0² - 2 × 0 + 3
y = 3
You know that this point is (0,3)
Recognize that the parabola has a minimum, a vertex, and a y-intercept, and that you may graph it as shown in the accompanying image.
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What is the measurement after you double the recipe?
Practice
Did the ratio of sugar to flour change when you compare the single batch to the double batch?
Answer:
the ratio would be 6:2 or 6/2. Yes, the ratio of sugar to flour change when I compare the single batch to the double batch.
Step-by-step explanation:
suppose 20% of all emergency room patients have broken bones. of the next fifteen patients to arrive, what is
The probability that none of the patients have broken bones is 0.0352.
What is binomial distribution?
A popular probability distribution known as the binomial distribution simulates the likelihood of getting one of two outcomes given a set of parameters. It totals the number of trials when each trial has an equal chance of producing a particular result. By dividing the quantity of independent trials by the number of successes, one can calculate the value of a binomial.
Let X has binomial distribution with n = 15 and p = 0.20
The PDF of the distribution can be written as:
P(X=x) = nCx(p)x (1-p)n-x
Probability for 0 patients have broken bones can be calculated as:
P(x=0) = 15C0(0.20)0 (1-0.20)15-0
P(x=0) = 0.035184 = 0.0352
Therefore, the probability is 0.0352
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Complete Question
Suppose 20% of all emergency room patients have broken bones. of the next fifteen patients to arrive, what is the probability that none have broken bones?
Write (-2^6) as repeated addition and evaluate. Is the answer negative or positive?
Answer:
to write (-2)^6 as repeated addition, we can write it as -2 + -2 + -2 + -2 + -2 + -2 + -2. When we evaluate this expression, we get -128. Therefore, the answer is negative
Give the slope between the points (-5,-2)(-2,-7)
Step-by-step explanation:
Give the slope between the points (-5,-2)(-2,-7)
slope = change in y / change in x
slope = (-2 - (-7)) / (-5 - (-2))
slope = ( -2 + 7) / ( -5 + 2)
slope = 5/-3
slope = -5/3 or -1.667
a regular tetrahedron is a triangular pyramid, all of whose edges have the same length. if all the edges are 6-inch segments, how tall is such a pyramid, to the nearest hundredth of an inch?
To find the height of a regular tetrahedron, you can use the formula h = sqrt(2/3) * s, where h is the height of the tetrahedron and s is the length of one of its edges. In this case, the length of one of the edges is 6 inches, so plugging this value into the formula gives:
h = sqrt(2/3) * 6 inches
= sqrt(4/3) inches
= sqrt(4/3) * sqrt(1/1) inches
= 2/sqrt(3) inches
To convert this to a decimal and round to the nearest hundredth, we can use a calculator to find that the height of the tetrahedron is approximately 3.46 inches.
How many faces are there in tetrahedron?
4
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Help!! Show your work please!
Answer:
62 degrees
Step-by-step explanation:
first we find angle C by subtracting 116 from 180
180-116
64 degrees is angle c
Sum of all three angles of a triangle is 180 degrees
(3x-13)+(2x+4)+64=180
5x-9+64=180
5x+55=180
-55. -55
5x=125
/5. /5
x=25
Now we know x we can find angle A
3(25)-13
75-13
62 degrees
Hopes this helps please mark brainliest
a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?
The age of the artifact is 3523.77 years.
What is radioactive decay?
The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.
Here,
The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)
All radioactive decay processes follow the first-order reaction.
The equation for the half-life for first-order reaction follows:
t(1/2) = 0.693/k....(1)
where,
k = rate constant of a first-order reaction
Given value:
t(1/2) = 5715 years
Put the value of t in equation (1), and we get
k = 0.693/5715
k = 1.21×10⁻⁴yr
The integrated rate law expression for first-order reaction follows:
t = 2.303/k×㏒(a/(a-x))
where,
t = time period
a = initial concentration of the reactant = 58.2 counts per minute
(a-x) = Concentration of reactant left after time t = 38.0 counts per minute
k = rate constant of a first-order reaction
Put the values in the equation and we get
t = 2.303/1.21×10⁻⁴㏒58.2/38
t = 3523.77 years.
Hence, the age of the artifact is 3523.77 years.
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Does dilation affect driving?
Yes, dilation affects the driving.
When you get your eyes dilated, your doctor uses special drops to open your pupils wide. This let them get a look at your whole eye, including all the nerves and blood vessels at the back, to check for signs of diseases
When dilated, the pupil is unable to get smaller, and thus block out light in bright areas. This causes glare in your vision so you can't see things clearly.
The drops also make it difficult to focus on things up close, but usually don't affect distance vision.
So, Your eyesight will be impaired, so some experts say you should play it safe and not get behind the wheel will leds to affecting your driving
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You roll two tandard number cube. What i the probability that the un i even, given that at leat one number cube how a 2? What i the probability that at leat one number cube how a 2, given that the un i even?
The probability that at least one number cube show a 2, given that the sum is even is 5/36 .
In the question ,
it is given that ,
two standard cube are rolled ,
we have to find the probability that at least one number cube show a 2, given that the sum is even ,
we know that on rolling two dice ,
the total number of outcomes is = 36 ,
the outcomes in which one cube shows 2 are ,
{ (1,2) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (2,1) , (3,2), (4,2) , (5,2) ,(6,2) }
and the outcomes in which the sum is even is :
{ (2,2) , (2,4) , (2,6), (4,2) , (6,2) }
So , the number of favorable outcomes is = 5 ,
So , the probability is = 5/36
Therefore , the required probability is = 5/36 .
The given question is incomplete the complete question is
You roll two standard number cube . What is the probability that at least one number cube show a 2, given that the sum is even ?
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ç
Radius
Diameter
Circumference
What is the quotient of 10/16 ÷ 5/16?
The quotient would be 2.
Answer:2
Step-by-step explanation:
10/16 divided 5/16. Keep 10/16, switch division to multiplication/times turn 5/16 to 16/5 which you will get 160/80 and the answer will be 2 because 80x2 is 160 so 160/80 will be 2. You'll thank me.
when a confidence interval for the difference of two population means contains 0, what can be concluded?
The required conclusion for confidence interval for the difference of two population means contains 0 has no difference.
What probability distribution?Probability dispersion help to display our reality, empowering us to get evaluations of the Probability that a specific occasion might happen, or gauge the changeability of event. They are a typical method for depicting, and perhaps anticipate, the Probability of an occasion.
According to question:In the event that your certainty stretch for a distinction between bunches incorporates zero,
it means that assuming you run your examination again you have a decent possibility tracking down no contrast between gatherings.
So, There will be no difference between both the experiments for the same.
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what adds to be -24 and multiplies to be 23
Answer:
1
Step-by-step explanation:
Deb is searching online for airline tickets. Two weeks ago, the cost to fly from Denver to Hartford was $250. Now the cost is $355. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:
1/ 42% increased
2/ 62%
Step-by-step explanation:
Let's find the answer to the first question
Take 355 divided by 250, then times 100% = 142%
142% - 100% = 42% increase
So the percent increase is 42%
Now let's find the answer to the second question
First, find the total cost by 355 + 50 = $405
Take 405 divided by 250, then times 100% = 162%
162% - 100% = 62%
It increases by 62% if the airline charges ann additional $50 baggage fee!
7. A farmer wants to start raising cows, horses, goats, and sheep, and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides. She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose?
Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.
The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.
Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.
Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft
Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft
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Quadrilateral mnop was dilated with the origin as the center of dilation to create quadrilateral m'n'o'p'. The quadrilateral was dilated using a scale factor of 1. 5. The coordinates of the vertices of quadrilateral mnop are given. What are the coordinates of n'?.
The coordinates of N' will be (4.5, 5.25)
The picture is given by the product of the corresponding point on the preimage and the scale factor, with the center of dilatation at the origin.
The origin is the center of dilatation of a quadrilateral MNOP.
The picture that results from the dilatation of MNOP = M'N'O'P'
The dilation scale factor is 1.5.
N's coordinates in MNOP = N (3, 3.5)
The coordinates of a point (x', y') on the picture after dilatation with the center at the origin, of the preimage (x, y) by a scale factor are given below;
(x', y') = Scale factor × (x, y)
Which gives;
The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)
The coordinates of N' = (4.5, 5.25)
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for a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known. in testing versus , the test statistic is . what is your decision in this test?
For a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known in testing versus the test statistic. Therefore, The Null Hypothesis is Rejected.
Mean:In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.
For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean.
Sample Size:Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.
For example, if you want to predict how a population of a certain age group will react to a new product, you can first test with a sample representative of your target group his size. In this case, the sample size is derived from the number of people interviewed in this age group.
Population Variance:Population variance is a measure of variance that determines how far each data point is from the population mean. Population variance can be defined as the average squared deviation from the mean of the data. Population refers to all observations within a finite group. Population variance is calculated based on the population. However, as the number of observations increases, some data points are selected that can represent the entire population. These specific data points form the sample, and the variance calculated from these data is called the sample variance. We can use the sample variance to estimate the population variance.
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a certain disease has an incidence rate of 0.5%. if there are no false negatives and if the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.1046.
This problem is a classic application of Bayes' law, but let's try a more concrete approach rather than a boilerplate approach.
Suppose 1,000,000 people are being tested.
According to the incidence, 0.5 percent should be ill, so we would expect 5,000 to be ill and 995,000 not to be ill.
We are testing 5000 of him for this disease. With only a 7% false negative rate, the test is pretty good. That is, out of 5,000 or 350 people with the disease, only 7% will test negative, and the remaining 4,650 will test positive.
We are testing 995,000 people who are not sick. With only a 4% false positive rate, the test is pretty good. That means only 4% of 995,000 or 39,800 diseased people will test positive. The remaining 955,200 will be negative.
4,650 sick and tested positive
39,800 not sick but tested positive
350 sick and tested negative
955,200 not sick but tested negative
our test 955,200 + 4,650 = 959,850 people tested
4,650 + 39,800 = 44,450 people tested positive, but only 4,650 actually tested positive. This is a very small percentage, only 465044450≈0.1046.
In other words, if your doctor says you tested positive, there's only about a 10.5% chance that you actually have the disease. That's the probability we're looking for, and this low value indicates that this test isn't very good.
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Helppppppppppppppppppppppppp
A i think maybe
:>..,.h,j.
Which is an x-intercept of the graphed function? Group of answer choices (0, 4) (–1, 0) (0, –1) (4, 0)
please hurry i will give brainlyest (how ever you spell that lol)
Answer:
(4,0)
Step-by-step explanation:
(x, y)
Putting these points in a graph lends on the x-intercept, the right side of the graph