Answer:
7/18
Step-by-step explanation:
\(\frac{28}{72} /\frac{4}{4} =\frac{7}{18}\)
7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).
In the picture below.
Answer:
∠ GFC = 70°
Step-by-step explanation:
∠ BFE and ∠ CBF are alternate angles and are congruent, that is
∠ BFE = 37°
∠ BFE , ∠ BFC and ∠ GFC lie on a straight line and sum to 180° , then
37° + 73° + ∠ GFC = 180°
110° + ∠ GFC = 180° ( subtract 110° from both sides )
∠ GFC = 70°
What calculator is used for pre-calculus?
A scientific calculator is typically used for pre-calculus.
This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.
It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.
Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.
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Mrs. Evans is taking 9 students to an amusement park. Mr. Sanchez is taking 14 students to a water park. Each student will buy a ticket to the appropriate park and pay for a ride fee. Admission to the amusement park is 2 times that of the water park's admission as shown in the table. The total cost is the same for both groups of students.
Amusement Park
Water Park
Admission: $2x per student
Admission: $x per student
Ride Fee: $3.00
Which equation represents the problem?
Ride Fee: $4.50
O A) 9(x + 4.50) = 14(2x + 3.00)
O B) 9(x + 3.00) = 14(2x + 4.50)
O C) 9(2x + 4.50) = 14(x + 3. 00)
O D) 9(2x + 3. 00) = 14(x + 4.50)
The equation the represent the event of taking Mrs. Evans taking 9 students to an amusement park and Mr. Sanchez is taking 14 students to a water park is
D) 9(2x + 3.00) = 14(x + 4.50)How to find the expression that represent the problemThe problem is solved using simultaneous equation, the equations required is derived as follows:
Amusement park
Admission: $2x per student
Ride Fee: $3.00
Mrs. Evans is taking 9 students to an amusement park
9($2x + $3.00)
Water park
Admission: $x per student
Ride Fee: $4.50
Mr. Sanchez is taking 14 students to a water park
14($x + $4.50)
The total cost is the same for both groups of students
9($2x + $3.00) = 14($x + $4.50)
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A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.
Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
The true statement about the graph's slope is (c) Its slope is zero.
How to determine the true statement?From the question, we have:
A horizontal line is at y = 2.5.
The horizontal line implies that the cost of lunch do not change
Horizontal lines have a slope of 0
Hence, the true statement about the graph's slope is (c) Its slope is zero.
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a cube has a surface area of 486cm^2. what is its side length?
Answer:
9 cm
Step-by-step explanation:
Total surface area of a cube =486 cm²
We know that the surface area of the cube
=6l²
Therefore,
6l ² =486
l² =81
l =9 cm
in a poll, 68% of u.s. adults said that ceos of large u.s. companies are overpaid. suppose this result is true for the current population of u.s. adults. two adults are randomly selected from the population of u.s. adults. let x denote the number of adults in this sample of two adults who hold the opinion that ceos of large u.s. companies are overpaid. write the probability distribution of x.
The probability distribution of X indicates the likelihood of observing different combinations of adults who hold the opinion that CEOs of large U.S. companies are overpaid. In this case, there is a 10.56% probability of neither adult holding the opinion, a 43.52% probability of one adult holding the opinion, and a 46.24% probability of both adults holding the opinion. This probability distribution provides insights into the distribution of opinions within a sample of two randomly selected adults from the population.
The probability distribution of the random variable X, representing the number of adults in a sample of two adults who believe CEOs of large U.S. companies are overpaid, is as follows:
X = 0: Probability of both adults not holding the opinion = (1 - 0.68) * (1 - 0.68) = 0.1056
X = 1: Probability of one adult holding the opinion and the other not holding the opinion = (0.68 * 0.32) + (0.32 * 0.68) = 0.4352
X = 2: Probability of both adults holding the opinion = 0.68 * 0.68 = 0.4624
Explanation and Calculation:
To calculate the probability distribution of X, we consider the possible combinations of adults in the sample who hold the opinion that CEOs of large U.S. companies are overpaid.
When X = 0, it means that neither of the two adults holds the opinion. The probability of an adult not holding the opinion is (1 - 0.68), and since we have two adults, we multiply the probabilities to get the joint probability of both adults not holding the opinion.
When X = 1, it means that one adult holds the opinion, while the other does not. There are two possible scenarios: the first adult holds the opinion and the second adult does not, or vice versa. The probability of an adult holding the opinion is 0.68, and the probability of an adult not holding the opinion is (1 - 0.68). We calculate the probabilities for both scenarios and sum them up.
When X = 2, it means that both adults hold the opinion. The probability of an adult holding the opinion is 0.68, and since we have two adults, we multiply the probabilities to get the joint probability of both adults holding the opinion.
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4. The branch of mathematics that analyzes situations in which players must make decisions andthen receive payoffs most often used by economists isA. oligopoly collusion.B. prisoner's dilemma.C. game theory.D. collusion theory
The branch of mathematics that analyzes situations in which players must make decisions and then receive payoffs most often used by economists is "game theory". So, option C is the correct answeer.
Game theory is a branch of mathematics that studies how people or organizations interact in situations where there are choices to be made and where the outcome of each choice depends on the choices made by others. It is often used in economics to model the behavior of firms and consumers in markets, and to analyze strategic interactions between competitors in oligopolistic industries.
One of the most famous examples of game theory is the prisoner's dilemma, which is a simple model that illustrates how two individuals might not cooperate, even if it appears that it is in their best interest to do so.
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this is my question -- factorise x^2+5x+6
Answer: (x+2)(x+3)
Step-by-step explanation:
Find the multiples of 6 and then see which two numbers adds up to 5
Scuba diving, Elisa descends at a rate of 7 1/2 feet per minute. How long will it take her to reach a depth of 90 feet? Show your work and explain your reasoning.
Answer:
12 minutes
Step-by-step explanation:
7.5 feet every minute
90 feet- x minutes
90/7.5- 12
:)
Dita mempunyai pensil sebanyak 10 kotak.Setiap kotak berisi 36 pensil. Pada hari ulang tahunnya, ia membagikan semua pensilnya sama banyak kepada 9 temannya. Berapa banyak pensil yang diterima masing-masing temannya
Answer:
40 pensil
Step-by-step explanation:
Dari pertanyaan di atas, kita diberitahu bahwa:
Dita memiliki 10 kotak pensil
1 kotak pensil = 36 pensil
10 kotak pensil =
Cross Multiply
10 × 36 = 360 pensil.
Dari pertanyaan tersebut, kami diberitahu bahwa Dita memiliki 9 orang teman dan ia membagikan semua pensilnya secara merata kepada mereka di hari ulang tahunnya.
Jumlah pensil yang diterima setiap teman dihitung sebagai:
360 pensil ÷ 9 teman
= 40 pensil.
Oleh karena itu, setiap teman mendapat 40 buah pensil.
4.i. A machine is set to fill a small bottle of 9.0 grams of medicine. A sample of eight bottles revealed the following amounts (grams) in each bottle. 9.2 8.7 8.9 8.6 8.8 8.5 8.7 9.0 At the 5% level of significance, can we conclude that the mean weight is less than 9.0 grams? ii. According to the local union president, the mean gross income of truck drivers in the Chattogram port area follows the normal probability distribution with mean of Tk14,000 and a standard deviation Tk 760. A recent investigative reporter for Independent Television found, for a sample of 120 plumbers, the mean gross income was Tk 15,600. Is it reasonable to conclude that the mean income is not equal to Tk 14,000?
By reject the null hypothesis. And hence we conclude that the mean weight is less than 9.0 grams.
Let μ be the mean population weight of medicine in the bottle. We have to test the null hypothesis H₀ : μ =9 against the alternative hypothesis Hₐ : μ< 9 .
The sample mean and standard deviation of the given sample data can be calculated by using Excel.
And we get (Mean) x = 8.8 and s ≈ 0.2268
Since the same size n=830 and population standard deviation is not given, we use t -test.
The test statistic is given by
t = \(\frac{x - μ }{s/\sqrt{n} }\)
= (8.8 - 9.0) / 0.2268 / \(\sqrt{8\\\)
≈ -2.4942
Now the critical value of t with degrees of freedom df=n-1=7 at significance level α = 0.05 is given by
t* = -1.8946 (-ve value for left-tailed test)
Thus, the critical region is (-α, -1.8946] and the calculated t =-2.4942 lies within the critical region.
So, we reject the null hypothesis. And hence we conclude that the mean weight is less than 9.0 grams.
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what is the probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels?
The probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is approximately 0.00026 (or 0.026%).
There are 5 vowels in the English alphabet (a, e, i, o, u). To create a 5-letter password using only vowels, we have 5 choices for each letter in the password. Therefore, the total number of possible 5-letter passwords made up of only vowels is 5^5 = 3125.
To find the total number of possible 5-letter passwords, we need to consider all 26 letters of the English alphabet. Since there are 26 choices for each letter in the password, the total number of possible 5-letter passwords is 26^5 = 11,881,376.
The probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is the number of possible 5-letter passwords made up of only vowels divided by the total number of possible 5-letter passwords:
P(password consists of only vowels) = 3125 / 11,881,376
Therefore, the probability of randomly choosing a 5-letter password for an internet web site that consists of only vowels is approximately 0.00026 (or 0.026%).
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The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 168 centimeters in 12 seconds.
What is the time in seconds the ant crawls when the total distance is 350 centimeters?
14 s
24 s
25 s
29 s
Answer:
25
Step-by-step explanation:
14 x 25 gives you 350
Answer:
25 is the answer for people that are in k12
Solve and graph the inequality 4x – 10 < 18.
Which of the following are true about the graph of the solution? Check all that apply.
The graph has an open circle at 2.
The graph has a closed circle at 2.
The graph has an open circle at 7.
The graph has a closed circle at 7.
The arrow points left.
The arrow points right.
9514 1404 393
Answer:
The graph has an open circle at 7.The arrow points left.Step-by-step explanation:
Adding 10 and dividing by 4, we have ...
4x < 28
x < 7
The comparison does not include the "equal to" case, so the circle at x=7 is open. Values of x less than 7 are in the solution set. Those values are found to the left of 7 on the number line.
The graph has an open circle at 7.The arrow points left.Answer:
C. The graph has an open circle at 7.
and
E.The arrow points left.
Step-by-step explanation:
i took the quiz and got it right
( you will get brainlist and 100 points and a 5.0 and thanks if you do this!!)
Step 2. Identify three (3) regions of the world. Think about what these regions have in common.
Step 3. Conduct internet research to identify commonalities (things that are alike) about the three (3) regions that you chose for this assignment. You should include at least five (5) commonalities. Write a report about your findings.
Report on Commonalities Among Three Chosen Regions
For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:
Economic Development:
All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.
Technological Advancement:
Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.
Cultural Diversity:
North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.
Democratic Governance:
A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.
Education and Research Excellence:
North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.
In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.
Answer:
For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:
Economic Development:
All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.
Technological Advancement:
Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.
Cultural Diversity:
North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.
Democratic Governance:
A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.
Education and Research Excellence:
North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.
In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.
Given: AD BC and BGD=
ZADC
Prove: DE CE
A
D
E
C
B
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Angles Segments Triangles Statements Reasons
ZADC
ZDEA
Statements
ZECD
ZBCD
ZEDC
ZCBE
Reasons
ZCEB
ZDAE
Answer:
answer in the picture
Step-by-step explanation:
Question 2,4,6 I don’t understand the question
Step-by-step explanation:
2.
an isometry means the distance between any two points in the original space is the same as the distance between them in the second space.
rotation and translation are such isometries. they leave the original shape or curve unchanged in its inner structure but move it around.
so, the shapes in this question are visibly an isometry. the size and structure of the pre-image is the same as for the image. only its position changed.
4.
(x, y) -> (x-3, y+5) means that every point of the shape or curve is moved (translated) 3 units to the left (the x coordinate is decreased) and 5 units up (the y coordinate is increased).
6.
(x, y) -> (x+7, y-2) -> (x-3, y+2)
this means that first every point of the shape or curve is moved (translated) 7 units to the right and 2 units down, and then 3 units to the left and 2 units up.
in the end this means that every point moved 4 units to the right (no up or down changes, as the intermediate changes canceled each other out).
Help me?! Solve for x
Answer:
x = 12
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, thus
7x - 12 + 108 = 180, that is
7x + 96 = 180 ( subtract 96 from both sides )
7x = 84 ( divide both sides by 7 )
x = 12
The side lengths of a triangle are 5. 3, and 4. Is this a right triangle?
Answer:
yes it's a right angle triangle
Step-by-step explanation:
by using Pythagoras theorem
H2= b2 + p2
5^2= 3^2+ 4^2
25= 25
hope it helps
find the zeros and their multiplicities. consider using descartes' rule of signs and the upper and lower bound theorem to limit your search for rational zeros. write numbers as integers or simplified fractions.
The zeros of the polynomial are: x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).We have found all three real zeros of the polynomial, which confirms that there are no complex zeros.
f(x) = 2x³ - 112x² + 27x - 41x + 15
To find the zeros and their multiplicities of this polynomial, we can begin by using Descartes' Rule of Signs. Let's consider the sign changes in the coefficients:
There are 2 sign changes in the coefficients (from 2x³ to -112x² and then to 27x, and finally to -41x and 15), which means there are either 2 or 0 positive real zeros.
There are no sign changes when we replace x with -x, which means there are either 0 or 2 negative real zeros.
Thus, there can be either 0, 2, or 4 real zeros, but we cannot determine their exact number or location with Descartes' Rule of Signs alone.
Next, we can use the Upper and Lower Bound Theorem to limit our search for rational zeros. According to this theorem, any rational zero of the polynomial must be of the form p/q, where p is a factor of the constant term (15 in this case) and q is a factor of the leading coefficient (2 in this case). Therefore, the possible rational zeros of the polynomial are:
±1/2, ±1, ±3/2, ±5, ±15/2, ±30
We can use synthetic division or long division to check these possible rational zeros and see which ones are actually zeros of the polynomial. Doing so, we find that the rational zeros of the polynomial are:
x = 1/2 (with multiplicity 1), x = 3 (with multiplicity 1), and x = 5/2 (with multiplicity 1).
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What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?
An arithmetic sequence begins with 56, 59, 62, 65, 68, ...
Which option below represents the formula for the sequence?
O f(n) = 56 + 3(n − 1)
-
Of(n) = 53+ 3(n-1)
O f(n) = 56 + 3(n)
Of(n) = 53 + 3(n + 1)
f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.
What is an arithmetic sequence?In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,
If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.
An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.
Given data :
This is the formula of an arithmetic sequence.
f(n) = a1 + d(n - 1)
An arithmetic sequence begins with 56, 59, 62, 65, 68,
= = 56.
d = 59 - 56 = 3
so the formula is f(n) = 56 + 3(n − 1)
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Samantha's mother spent $78 at a farmers market. She bought the same number of pounds of apples for $1. 50 per lb as tomatoes for $2. 50 per lb. She also bought half that weight of a farmers cheese that sold for $4. 00 per lb. The number of pounds of peaches she bought for $3. 00 per lb was one more pound than the farmers cheese. How many pounds of each product did samantha's mother buy?.
Answer:
6.36 Lbs
Step-by-step explanation:
A coordinate plane showing eight plotted points in a curved line. The points are at, (1, 0), (2, 25), (3, 50), (4, 80), (5, 190), (6, 200), (7, 275), (8, 400).
Is the graphed function linear?
Yes, because each input value corresponds to exactly one output value.
Yes, because the outputs increase as the inputs increase.
No, because the graph is not continuous.
No, because the curve indicates that the rate of change is not constant.
No, because the curve indicates that the rate of change is not constant.
You’ll get Brainly if you help me with four and provide a step-by-step explanation of how you got to the answer
Answer:
5x - 5y
Step-by-step explanation:
x - 3y + 4x - 2y
5x - 3y - 2y
5x - 5y
Have a great day!
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\([Hello,BrainlyUser]\)
Answer:
\(5x-5y\)
Step-by-step explanation:
\(\left(x-3y\right)+\left(4x-2y\right)\)
Combine like terms
\(=x+4x-3y-2y\)
Add similar elements: \(x+4x=5x\)
= \(5x-3y-2y\)
Add similar elements: \(-3y-2y=5y\)
\(=5x-5y\)
Answer = \(=5x-5y\)
[CloudBreeze]
You pick a card at random. Without putting the first card back, you pick a second card at random. 1 2 3 4 5 6 7 What is the probability of picking an even number and then picking an even number? Write your answer as a fraction or whole number.
The solution is: 1/7 is the probability of picking an even number and then picking an even number.
Here, we have,
we know that,
Probability = required outcome /all possible outcome
given that,
You pick a card at random. Without putting the first card back, you pick a second card at random. 1 2 3 4 5 6 7.
number of possible outcome = 7
Let:
A = 1st time pick an even number
B =2nd time pick an even number
so, we get,
There are 3 even numbers in total,
for the 2nd time it will be 2 even numbers in total,
we have,
P(A) = 3/7
and,
P(B) =2/6
we know that,
The intersection between both events is equal to the product of both probabilities since the events are independent.
so, we get,
P (A∩B) = P(A). P(B)
= 3/7 * 2/6
= 1/7
Hence, 1/7 is the probability of picking an even number and then picking an even number.
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A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.
A. $54.95
B. $792.00
C. $839.95
D. $1134.50
Answer:
B is the correct answer
PLEASE HELP ITS DUE IN 5 MIN
y = (x + 2)2 – 4
i) Identify parameters a, h, and k describe all of the transformations.
ii) Identify the vertex of the graph.
Answer:
vertex is 2 and -4
Step-by-step explanation:
A large box holds 125% as many toys as a small box. If the large box hold 25 toys, how many toys does the small box hold? Your answer
a sample of 158 college students asked them if they liked statistics. 93% said yes. calculate a 89% confidence interval for the true population proportion of those who like statistics
We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.
For P, what is the confidence interval at 95 percent?
Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.
What is the 95 percent confidence interval for the population's proportion of smokers?
Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.
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