Answer:
A coin has 1 head and 1 tail.
=> Probability of flipping a coin and getting head: 1/2
Hope this helps!
:)
Representación gráfica de 2 1/4
La representación pictórica de 2 ¼ es sombrear completamente 2 círculos de 3 y sombrear 1/4 parte del tercer círculo.
Aquí, el pictórico dado es 2 ¼.
El numerador es mayor que el denominador.
Entonces, esta también es una fracción impropia o mixta.
Entonces, primero dividiremos la fracción mixta pictórica como.
Ahora tenemos que sombrear completamente 2 círculos de 3 y sombrear 1/4 de la parte del 3er círculo como se muestra en la figura de abajo.
Para más ayuda, encuentra la representación en la figura.
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a drawer contains 20 socks. 10 are black. 6 are blue. 4 are red. two socks are taken out at random. what is the probability that one is blue and one is red?
Chance is also referred to as probability and the probability that one is blue and one is red is 4/19
probability = Number of event/Total samples space
If there are 10 black socks,20 white socks,2 red socks, and 6 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 10+20+2+6
Sample space = 38
Total number of blue and red socks is the event
Number of event one blue and one red = 8 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is one red and one blue = 8/38
Chance that the socks is red and blue = 4/19
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John deposits Rs 25 000 in a bank which pays simple interest at the rate of 9% per year. after how many years will he earn an interest of Rs 6750?
I = 6750
P= 25000
r = 9% = 0.09
t=?
I= prt
6750 = 25000×0.09× t
t = 6750/25000"0.09 = 3
Answer - 3 years.
A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
10min 7km
15min 10.5km
20min 14km
Write an equation to describe the relationship between t, the time, and d, the distance.
The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
time(t) = speed(s)×distance(d)
Speed is constant:
t ∝ d
t = kd
k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43
The equation is:
t = 1.43d
Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
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Answer:
d=0.7t
Step-by-step explanation:
the other dude is wrong
Write the expression as a single natural logarithm. 3 In m + 4 Inn
Answer:
\( ln( {m}^{3} {n}^{4} )\)
Step-by-step explanation:
\( \alpha ln(x) = ln( {x}^{ \alpha } ) \)
\( ln( {m}^{3} ) + ln( {n}^{4} ) \)
\( ln(a) + ln(b) = ln(ab) \)
\( ln( {m}^{3} {n}^{4} ) \)
Answer:
Step-by-step explanation:
ln(m^3*n^4)
We should check this out to see if it works.
Givens
m = 2
n = 3
3 ln(2) = 3*0.6931 = 2.0794
4*ln(3) = 4*1.0986 = 4.3944
Add 6.4738
Check Answer
ln(2^3*3^4)
ln(8*81)
ln(648)
6.4738 Just as it should be
(50pts) What is the equation for the line in slope-intercept form?
Answer:
y = 8x
Step-by-step explanation:
See attached image.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
How do you work this out?????
Answer: 3 x 3 I think
Step-by-step explanation:
Answer:
3x^2
Step-by-step explanation:
base times height
you do 3x times x to find area
x(3x)
3x^2
At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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Gcf of 6 - 36x write the expression in factored form plssss helpppp
Answer: 6(1-6x)
Step-by-step explanation:
When you are writing the factored form of an expression, you are taking out that the different terms have in common. You can see that the 2 terms have 6 in common. Therefore, I can take out a 6.
6(1-6x)
A dolphin was swimming 6 feet below sea level. The number line shows the
location of the dolphin. It then swam up 4 feet. Describe how to use the
number line to find the new location of the dolphin.
+
10 9 8 7 6 5 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A. On the number line, move 4 units to the right. End at 10. The
dolphin was 10 feet above sea level.
B. On the number line, move 4 units to the left. End at -10. The
dolphin was 10 feet below sea level.
C. On the number line, move 4 units to the left. End at 2. The dolphin
was 2 feet above sea level.
D. On the number line, move 4 units to the right. End at -2. The
dolphin was 2 feet below sea level.
On the number line, move 4 units to the right. End at -2. The dolphin was 2 feet below sea level.
What is number line?A number lines are the horizontal straight lines in which the integers are placed in equal intervals.
A dolphin was swimming 6 feet below sea level. It then swam up 4 feet.
So, -6+4= -2 feet
As, from the information
On the number line, move 4 units to the right. End at -2. The dolphin was 2 feet below sea level.
This is because the dolphin 6 feet below sea level and swam up 4 feet.
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A - 7 = 3(b + 2) what does A equal??
Answer:
a = 3b + 13
Step-by-step explanation:
First, we have to move all terms not involving A to the right of the equal sign
a = 7 + 3(b+2)
Now, we have to distribute.
a = 7 + 3b + 6
Finally, combine like terms.
a = 3b + 13
Exercise 10.12.2: Counting solutions to integer equations. How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and(a) There are no other restrictions. (b) xi 2 3 for i 1, 2, 3, 4, 5, 6 (c) 3 s x1 s 10 (d) 3 s x1 s 10 and 2 s x2 s 7
a) There are 27,405 solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25 with no restrictions.
b) There are 1,001 solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, with xi ≥ 3 for i = 1, 2, 3, 4, 5.
c) There are 5,561 solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, where 3 ≤ x₁ ≤ 10.
d) There are 780 solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, where 3 ≤ x₁ ≤ 10 and 2 ≤ x₂ ≤ 7.
a) No Restrictions:
In this arrangement, the first urn contains 5 balls, the second urn contains 3 balls, the third urn contains 9 balls, and the fourth urn contains 8 balls.
By applying this method, we need to find the number of ways we can arrange the 25 balls and 4 separators. The total number of positions in this arrangement is 29 (25 balls + 4 separators). We choose 4 positions for the separators from the 29 available positions, which can be done in "29 choose 4" ways. Therefore, the number of solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25 with no restrictions is:
C(29, 4) = 29! / (4! * (29 - 4)!) = 27,405.
b) xi ≥ 3 for i = 1, 2, 3, 4, 5:
In this case, each xi should be greater than or equal to 3. We can use a similar approach to the previous case but with a few modifications. To ensure that each variable is at least 3, we subtract 3 from each variable before distributing the balls. This effectively reduces the equation to x₁' + x₂' + x₃' + x₄' + x₅' = 10, where x₁' = x₁ - 3, x₂' = x₂ - 3, and so on.
Now, we have 10 balls (representing the value of 10) and 4 urns (representing the variables x₁', x₂', x₃', and x₄'). Using the stars and bars method, we can determine the number of ways to arrange these balls and separators. The total number of positions is 14 (10 balls + 4 separators), and we need to choose 4 positions for the separators from the 14 available positions.
Therefore, the number of solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, where each xi is greater than or equal to 3, is:
C(14, 4) = 14! / (4! * (14 - 4)!) = 1001.
c) 3 ≤ x₁ ≤ 10:
Now, we have a specific restriction on the value of x₁, where 3 ≤ x₁ ≤ 10. This means x₁ can take any value from 3 to 10, inclusive. For each value of x₁, we can determine the number of solutions to the reduced equation x₂ + x₃ + x₄ + x₅ = 25 - x₁.
Using the stars and bars method as before, we have 25 - x₁ balls and 4 urns representing the variables x₂, x₃, x₄, and x₅. The total number of positions is 25 - x₁ + 4, and we need to choose 4 positions for the separators from the available positions.
By considering each value of x₁ from 3 to 10, we can calculate the number of solutions to the equation for each case and sum them up.
Therefore, the number of solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, where 3 ≤ x₁ ≤ 10, is:
∑(C(25 - x₁ + 4, 4)) for x₁ = 3 to 10.
By evaluating this sum, we find that there are 5,561 solutions.
d) 3 ≤ x₁ ≤ 10 and 2 ≤ x₂ ≤ 7:
In this case, we have restrictions on both x₁ and x₂. To count the number of solutions, we follow a similar approach as in the previous case. For each combination of x₁ and x₂ that satisfies their respective restrictions, we calculate the number of solutions to the reduced equation x₃ + x₄ + x₅ = 25 - x₁ - x₂.
By using the stars and bars method again, we have 25 - x₁ - x₂ balls and 3 urns representing the variables x₃, x₄, and x₅. The total number of positions is 25 - x₁ - x₂ + 3, and we choose 3 positions for the separators from the available positions.
We need to iterate over all valid combinations of x₁ and x₂, i.e., for each value of x₁ from 3 to 10, we choose x₂ from 2 to 7. For each combination, we calculate the number of solutions to the equation and sum them up.
Therefore, the number of solutions to the equation x₁ + x₂ + x₃ + x₄ + x₅ = 25, where 3 ≤ x₁ ≤ 10 and 2 ≤ x₂ ≤ 7, is:
∑(∑(C(25 - x₁ - x₂ + 3, 3))) for x₁ = 3 to 10 and x₂ = 2 to 7.
By evaluating this double sum, we find that there are 780 solutions.
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Select the correct image.
Which image shows triangle A dilated by a scale factor of 2 with a center at the origin?
The triangle ABC undergoes a dilation of scale factor 2 centered at the origin.
Dilation About the Origin
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 2 about the origin mapping it to triangle A'B'C' with vertices A'(-4,4), B'(-4,6), and C(2,4).
The coordinates of triangle ABC are:
A=(-4/2,4/2) = (-2,2)
B=(-4/2,6/2) = (-2,3)
C=(2/2,4/2) = (1,2)
The coordinates of ABC are respectively (-2,2), (-2,3), and (1,2).
Hence the answer is the triangle ABC undergoes a dilation of scale factor 2 centered at the origin.
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Answer:i'm pretty sure it's the one to the right of the example
Step-by-step explanation:
how does an expert system differ from conventional systems?
An expert system differs from conventional systems in that it incorporates knowledge and expertise in a specific domain to make intelligent decisions or provide recommendations.
Conventional systems are typically rule-based or algorithmic, where predefined rules or instructions are followed to process data or perform tasks. These systems are designed to handle specific functions but lack the ability to mimic human expertise or reasoning.
On the other hand, an expert system utilizes artificial intelligence (AI) techniques, such as knowledge representation, inference engines, and learning algorithms, to capture and apply human expertise in a particular domain. It relies on a knowledge base, which contains expert knowledge and rules, and an inference engine, which uses logical reasoning to draw conclusions or provide recommendations based on the given input.
The key distinction of an expert system lies in its ability to handle complex, knowledge-intensive tasks that would typically require human expertise. By emulating the decision-making processes of human experts, expert systems can analyze complex data, diagnose problems, offer solutions, and provide expert-level advice.
Expert systems have applications in various fields, including medicine, finance, engineering, and customer support. They enable organizations to leverage and preserve expert knowledge, enhance decision-making processes, and improve overall efficiency and accuracy.
In summary, expert systems differ from conventional systems by incorporating AI techniques to emulate human expertise, allowing them to handle complex tasks and provide intelligent recommendations. This makes expert systems particularly valuable in domains where expert knowledge is critical for decision-making and problem-solving.
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An expert system differs from conventional systems in terms of their knowledge base, reasoning and inference capabilities, adaptability, and domain-specificity.
An expert system is a computer program that mimics the decision-making ability of a human expert in a specific domain. It uses a knowledge base, which contains facts and rules, and an inference engine to provide intelligent solutions to complex problems. Expert systems are designed to handle complex and uncertain situations by using reasoning and inference techniques.
On the other hand, conventional systems are traditional computer programs that follow a predefined set of instructions to perform specific tasks. They do not possess the ability to learn or adapt like expert systems.
The main differences between expert systems and conventional systems are:
Knowledge base: Expert systems have a knowledge base that contains facts and rules about a specific domain. This knowledge base is used by the inference engine to make decisions. Conventional systems do not have a knowledge base.Reasoning and inference: Expert systems use reasoning and inference techniques to handle complex and uncertain situations. They can make decisions based on incomplete or uncertain information. Conventional systems do not have the ability to reason or infer.adaptability: Expert systems can learn and adapt over time. They can update their knowledge base based on new information or experiences. Conventional systems do not have the ability to learn or adapt.domain-specific: Expert systems are designed for specific domains, such as medicine, finance, or engineering. They have specialized knowledge in these domains. Conventional systems can be used in various applications and do not have specialized knowledge.Learn more:About expert system here:
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I need help with my Alg 2 work.
Help quickly if possible.
Thanks.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.
What are some examples of how exponential functions are employed in mathematics and in real life?Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.
Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.
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Is this problem a function yes or no
evaluate the expression when y=9 and x=8
6y-x
Answer:
46
Step-by-step explanation:
because y=9 and x=8
the the equation (6y-x) becomes
(6x9)-8 which will be equal to 46
when worked out on a calculator.
a random sample of 380 found that 67% of the readers owned a personal computer. find the value of the test statistic. round your answer to two decimal places.
The value of the test statistic is 6.51.
The test statistic for this problem can be calculated using the formula:
z = (p - P) / √(P * (1 - P) / n)
Where p is the sample proportion (0.67 in this case), P is the hypothesized population proportion (we don't know this value, so we assume it to be 0.5 for a two-tailed test), n is the sample size (380), and z is the standard normal distribution value corresponding to the level of significance.
Plugging in the values, we get:
z = (0.67 - 0.5) / √(0.5 * (1 - 0.5) / 380) = 6.51
So the value of the test statistic is 6.51.
The test statistic is a measure of how far the sample proportion deviates from the hypothesized population proportion under the null hypothesis. In this case, we assume that the population proportion is 0.5 (since we have no reason to believe otherwise), and we calculate the probability of observing a sample proportion of 0.67 or greater assuming this null hypothesis is true.
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Grace, Maci, and Kendra all have a large collection of earrings.
The number of pairs of earrings in Grace’s collection is represented by x.
The number of pairs of earrings in Maci’s collection is three times the number of pairs in Grace’s collection.
Kendra has 4 earrings in her collection.
The total number of pairs of earrings in all three girls’ collections is 52.
How many pairs of earrings are in Maci’s collection?
Answer:
36
Step-by-step explanation:
Kendra has 4 so 52-4 (so it's out of the way) now you have 48
Divide 48 by 3 (leaves you 16). It can't be 16 because you have to add 16 and the sum of 16 x 3. So, go down a few numbers
12 + (12x3) = 48 plus Kendra's 4 is 52
What is the equation of the line that passes through the point (-3, 1) and has a
slope of - 2
Step-by-step explanation:
slope = (y2-y1) / (x2-x1)
equation of the line y2 - y1 = m(x2-x1),
y2 = m(x2-x1) +y1
y2-y1 = -2(x2- (-3))
y2-y1 = -2x -6
y2 - 1 = -2x -6
y2 = -2x -5
please help i will give brainliest :) question is in picture
Answer:
C. 43.96
Step-by-step explanation:
2 × 3.14 × 7
Equation is 2×pi×radius
Answer: The answer is B
Step-by-step explanation:
The formula is 2πr. 2 * 3.14 * 7 6.28 *7 = 43.96Solve the following system of equations using substitution, elimination, or elimination by multiplication.
brainliest if its correct
factor the expression completely (please help!)
Step-by-step explanation:
6x - x²x ( 6 - x)hope this helps
Answer:
x(6-x)
Step-by-step explanation:
6x - x²
= x(6-x)
first u must find what is the similirity between the 2 eqn “6x and x²”
they both have x, therefore u have to bring the x outside the bracket
State if the triangle are similar amd if they are, give the reasons AA SSS SAS
which triangles?
i see no triangles
try again bro
2. is the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}? why or why not?
No, the power set of {2, 3, 4, 5} is not a subset of the power set of {1, 2, 3, 4, 5, 6}.
Because the power set of {2, 3, 4, 5} has only elements which are subsets of {2, 3, 4, 5}, whereas the power set of {1, 2, 3, 4, 5, 6} has elements which are subsets of {1, 2, 3, 4, 5, 6}. Therefore, the power set of {2, 3, 4, 5} cannot be a subset of the power set of {1, 2, 3, 4, 5, 6}.
The power set of a set is the set of all subsets of that set. For example, the power set of {2, 3, 4, 5} is the set of all subsets of {2, 3, 4, 5}, which would include {2}, {3}, {4}, {5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 5}, {4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}, and {2, 3, 4, 5}. Similarly, the power set of {1, 2, 3, 4, 5, 6} would include all subsets of {1, 2, 3, 4, 5, 6}, such as {1}, {2}, {3}, {4}, {5}, {6}, {1, 2}, {1, 3}, and so on, which would not be included in the power set of {2, 3, 4, 5}.
Therefore, it is not possible for the power set of {2, 3, 4, 5} to be a subset of the power set of {1, 2, 3, 4, 5, 6}.
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Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. f(x) = 3x + 4, X<-3
2x2 + ax + b. X>-3
The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.
To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.
On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.
Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.
Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.
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PLEASE HELP IM STUCK AND TIMED
Which statements describe survivors of the Holocaust after the war? Choose two correct answers.
Many did not want to return to Germany or Poland.
Many moved to Russia to create Jewish communities.
Many created communities near the concentration camps.
Many survivors moved to other countries around the world.
Many created museums and memorials for those who had died.
AnswerA &D
Step-by-step explanation:A
D
The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b). True False
The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.
In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.
To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].
Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).
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