The student body of 135 students wants to elect two representatives combination or permutation
The method to use is Combination
What is combination?Combination is a way or method of selecting items from a collection without a defined order or manner.
The formula for finding Combination is given as;
Combination = n!/ r!(n -r)!
n = 135
r = 2
Combination = 135!/ 2!(135 - 2)!
Thus, the method to use is Combination
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Cinia has made a pyramid model for her history project at school. The pyrarrid model has a square base. Each triangular side of the model has a
base length of 10 centimeess and a slant height of ē. 9 centimeters. Olivia wants to wrap the pyramid in wrapping paper before putting it into her
school bag
How much wrapping paper will Ona need to cover the pyramid?
Olivia will need 280 square centimeters of wrapping paper to cover the pyramid for her history project.
To calculate the amount of wrapping paper Olivia will need to cover the pyramid, we need to find the total surface area of the pyramid, including the base and the triangular sides.
The base of the pyramid is a square, so its area can be found by squaring the length of one side. Given that the base length is 10 centimeters, the area of the base is 10^2 = 100 square centimeters.
The triangular sides of the pyramid are all congruent, so we can calculate the area of one triangular side and multiply it by the number of sides (4 in this case) to get the total area.
To find the area of one triangular side, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, the base length is 10 centimeters, and the height is the slant height of 9 centimeters.
Area = (1/2) * 10 * 9 = 45 square centimeters
Since there are four triangular sides, the total area of the triangular sides is 4 * 45 = 180 square centimeters.To calculate the total surface area, we need to add the area of the base and the area of the triangular sides:
Total surface area = base area + triangular side area
Total surface area = 100 + 180 = 280 square centimeters
Therefore, Olivia will need 280 square centimeters of wrapping paper to cover the pyramid for her history project.
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PLEASE HELP ME WITH THIS THANK YOU!!!! 12 points!!
Answer:
D
Step-by-step explanation:
Graph the solution of the inequality on a number line. 2(x - 3) - 5x < x-2
Answer:
good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr
Step-by-step explanation:
Option D is representing the inequality 2(x - 3) - 5x < x-2 on the number line.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that the inequality is 2(x - 3) - 5x < x-2. The inequality will be solved as,
2(x - 3) - 5x < x-2
2x - 6 - 5x < x - 2
-3x - 6 < x - 2
-3x - x < 6 - 2
-4x < 4
x > -1
The number line of the inequality is attached with the answer below.
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You received a $27.00 credit for a website that sells movie and music files. A movie costs $4.50 to downloadand a song costs $.90. The equation 4.50m 0.9s 27.00, where m is the number of movies and s is thenumber of songs, models the situation. How many songs can you download if you download two movies?
Answer:
20 songs
Step-by-step explanation:
you merely have to plug m = 2 into the equation and then solve for s
4.50m + .9s = 27.00
4.50(2) + .9s = 27.00
s = 20
regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be.
The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.
Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.
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What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point (-8, -3)?
Answer:
tan θ = 3/8
sin θ = -3 / √73
csc θ = -√73 / 3
Step-by-step explanation:
Answer:
tan θ = 3/8
sin θ = -3 / √73
csc θ = -√73 / 3
Step-by-step explanation:
Brainliest Please
Hope I helped
Express the distance,d, from a point on the graph x+y=2 to the point (6,8) as a function of x
Answer:
\(d=\sqrt[]{2(x^2+36^{})}\)Explanation:
Given the equation of the line as;
\(x+y=2\)We can express y in terms of x by subtracting x from both sides of the equation;
\(y=-x+2\)Let the point on the line be P(x, y)
We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;
\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)\(\begin{gathered} d=\sqrt[]{(6-x)^2+(8-y)^2} \\ d=\sqrt[]{(36-12x+x^2)+\lbrack8-(-x+2)\rbrack^2} \\ d=\sqrt[]{(36-12x+x^2)+(6+x)^2} \end{gathered}\)\(\begin{gathered} d=\sqrt[]{(36-12x+x^2)+(36+12x+x^2)} \\ d=\sqrt[]{72+2x^2} \\ d=\sqrt[]{2(x^2+36^{})} \end{gathered}\)determine whether the relation is a function. if the relation is a function determine whether it is linear or not linear
Answer:
We conclude that the relation is a function but it is not a linear function.
Step-by-step explanation:
The given table represents a function because each input or x-value is related to exactly one output or y-value.
In other words, there is no repetition of 'x' values. This indicates that the given relation in the table represents a function.
In order to check whether the function is linear or not linear, we need to check how x and y values change.
The table indicated that x increases by 2, now we need to determine whether the y-values increases at a constant rate or not. For this, we need to find the first difference between y-values.
-3 - (-8) = 5
3 - (-3) = 6
7 - 3 = 4
As the first difference between the consecutive y-values is not constant, meaning that y-values do not increase at a constant rate as x-values increase by 2.
Thus, it is not a linear function,
Therefore, we conclude that the relation is a function but it is not a linear function.
A car traveling 62 miles per hour is moving at a speed of about how many kilometers per hour? Use a unit multiplier to convert the rate. (1 km≈ 0.62 mi)
Please help if you can!
Answer: ≈ 100km/h
Step-by-step explanation:
62 : 0.62 = 100 km
Find the volume of the triangle
The volume of the pyramid will be 14 cubic meters.
The volume of the pyramid is defined as the space occupied by the triangular pyramid in three-dimensional space.
The volume of a pyramid is a measure of the amount of space it occupies and is defined as one-third the product of the area of the base and the height of the pyramid.
Calculate the area of the base of the pyramid,
Area = 1/2 x 4 x 3
Area = 6 square meters
Calculate the volume of the pyramid as
Volume = 1/3 x ( 6 x 7 )
Volume = 14 cubic meters
Therefore, the volume of the pyramid will be 14 cubic meters.
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Find the maximum and minimum values of the function f(x, y) = exy subject to x^3 + y^3 = 54
To find the maximum and minimum values of the function f(x, y) = exy subject to x^3 + y^3 = 54, we need to use the method of Lagrange multipliers.
Let's define g(x,y) = x^3 + y^3 - 54 as our constraint equation. Then, the Lagrangian function is:
L(x,y,λ) = exy + λ(x^3 + y^3 - 54)
Taking the partial derivatives with respect to x, y, and λ and setting them equal to 0, we get:
∂L/∂x = ey + 3λx^2 = 0
∂L/∂y = ex + 3λy^2 = 0
∂L/∂λ = x^3 + y^3 - 54 = 0
From the first two equations, we can solve for x and y in terms of λ:
x = (-ey/3λ)^(1/2)
y = (-ex/3λ)^(1/2)
Substituting these expressions into the third equation, we get:
(-ex/3λ)^(3/2) + (-ey/3λ)^(3/2) - 54 = 0
We can solve for λ in terms of e:
λ = e^(2/3)/(2*3^(1/3))
Substituting this back into the expressions for x and y, we get:
x = 3^(1/6)*e^(1/3)/y^(1/2)
y = 3^(1/6)*e^(1/3)/x^(1/2)
Now, we can find the critical points by setting the partial derivatives of f(x,y) = exy equal to 0:
∂f/∂x = ey(x) = 0
∂f/∂y = ex(y) = 0
From the expressions for x and y above, we see that x and y cannot be 0. Therefore, the only critical point is when e^(xy) = 0, which is not possible.
Thus, the function has no critical points in the interior of the region defined by the constraint equation. This means that the maximum and minimum values of the function must occur on the boundary of the region.
We can parametrize the boundary using polar coordinates:
x = 3^(1/3)cos(t)
y = 3^(1/3)sin(t)
Substituting these into f(x,y) = exy, we get:
f(t) = e^(3^(2/3)cos(t)sin(t))
To find the maximum and minimum values of f(t), we can take the derivative with respect to t and set it equal to 0:
f'(t) = 3^(2/3)e^(3^(2/3)cos(t)sin(t))(cos(2t) - sin(2t)) = 0
The solutions to this equation are t = π/4 and t = 5π/4.
Substituting these values back into f(t), we get:
f(π/4) = f(5π/4) = e^(3^(2/3))
Therefore, the maximum and minimum values of the function f(x,y) = exy subject to x^3 + y^3 = 54 are both e^(3^(2/3)).
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-5+22=r-4+3r+5
I need help please and thank u
Answer:
r = 4
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-5 + 22 = r - 4 + 3r + 5
Step 2: Solve for r
Combine like terms: 17 = 4r + 1Subtract 1 on both sides: 16 = 4rDivide 4 on both sides: 4 = rRewrite: r = 4Step 3: Check
Plug in r to verify it's a solution.
Substitute: -5 + 22 = 4 - 4 + 3(4) + 5Add/Subtract: 17 = 3(4) + 5Multiply: 17 = 12 + 5Add: 17 = 17A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
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x^2-2x-15>0; use -5,0 and 7 to help find the solution
I don't know what is given when I 8th May but if you can please send the answers
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim ln(x)/√x
x→[infinity]
The limit of the given function as x approaches infinity is 0.
To find the limit of the given function as x approaches infinity, we can use L'Hospital's Rule since we have an indeterminate form of type ∞/∞: lim (x → ∞) ln(x)/√x
Step 1: Apply L'Hospital's Rule by taking the derivative of both the numerator and the denominator with respect to x: Derivative of ln(x) = 1/x Derivative of √x = 1/(2√x)
Step 2: Create a new fraction with the derivatives and find the limit: lim (x → ∞) (1/x) / (1/(2√x))
Step 3: Simplify the expression: lim (x → ∞) (1/x) * (2√x) = lim (x → ∞) (2√x) / x
Step 4: Rewrite the expression as: lim (x → ∞) (2/√x)
Step 5: As x approaches infinity, the expression converges to: (2/∞) = 0
So, the limit of the given function as x approaches infinity is 0.
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Through: (1, 5) perpendicular to: y = - ½ x + 4
Answer:
y = 2x+5
Step-by-step explanation:
Determine the intercepts of the line.
Do not round your answers.
y=6x+13y=6x+13
Answer: X= -2.1667 Y= 13
The line segment AB is shown below. Which transformation of AB will produce a line segment A’B’ that is parallel to AB
Answer:
Are there answer choices or do you have to type it in yourself?
Engineers define reliability as the probability that an item will perform its function under specific conditions for a specific period of time. A certain model of aircraft engine is designed so that each engine has probability 0.999 of performing properly for an hour of flight. Company engineers test an SRS of 350 engines of this model. Let X = the number that operate for an hour without failure. Two engines failed the test. Are you convinced that this model of engine is less reliable than it's supposed to be? Compute
�
(
�
≤
348
)
P(X≤348)
and use the result to justify your answer.
To determine if the model of the aircraft engine is less reliable than it is supposed to be, we can calculate the probability of observing 348 or fewer engines operating for an hour without failure.
The probability that an engine performs properly for an hour is given as 0.999, which means the probability of failure is 1 - 0.999 = 0.001. Let's define X as the number of engines that operate for an hour without failure out of the 350 engines tested. The probability of observing X engines or fewer operating without failure can be calculated using the binomial distribution: P(X ≤ 348) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 348). Using a binomial distribution calculator or software, we can compute this probability. Given that the probability of failure is small (0.001), the probability of observing 348 or fewer engines operating without failure should be extremely small. If the computed probability is significantly small, it indicates that the model of the engine is less reliable than it is supposed to be.
Therefore, by computing P(X ≤ 348) and finding it to be significantly small, we can conclude that this model of engine is less reliable than it is supposed to be.
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2x + 6 = 10
x=
whats the answer?
Answer:
x is 2
Step-by-step explanation:
you need to do 10-6 is 4 then 2x? is 4
I NEED ALL ANSWERED PLEASE HELP ASAP!!! FIRST GETS BRAINLIEST
Answer:
1. A=
2. m<A138
3. m<117
4. m<114
Answer:
A is 63
the 2 equations are vertical angles so make them equal solve for x
B is 138
They are both exterior so add the equations and then make it equal to 180
C Is 117 set them equal to each other.
D is 114 set the equations equal to 180
Hope this helped :)
diagrams that can convey both data and concepts or ideas are known as __________.
Diagrams that can convey both data and concepts or ideas are known as infographics.
Diagrams that can convey both data and concepts or ideas are known as "informational graphics" or "infographics". These graphics use visual elements such as charts, graphs, illustrations, maps, and diagrams to convey complex information and ideas in a concise and easy-to-understand way.
Infographics can be used in various fields, including business, education, journalism, and marketing, to present information in a visually appealing and engaging manner.
They are particularly useful when presenting large amounts of data or complex processes and can be designed to cater to different audiences, such as professionals or the general public. Overall, infographics are a powerful tool for communicating information and ideas effectively and efficiently.
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Consider the function on which we applied the tabulation method: f = {(1, 2, 3, 4, 7, 8, 12, 15) + d (0, 5, 9, 10, 14)) 1) Draw the K-map and find all prime implicants, giving them the same labels (letters), A - I, in class, when applying the tabulation method. 2) Minimize f.
To solve the problem, let's go step by step.
1) Draw the K-map and find all prime implicants:
The given function f has 4 variables (d, c, b, a). So, we need to draw a 4-variable Karnaugh map (K-map). The K-map will have 2^4 = 16 cells.
The K-map for f is as follows:
```
cd
ab 00 01 11 10
00 | 1 2 8 7
01 | 3 4 12 15
11 | X 5 X 14
10 | X 9 X 10
```
Now, let's find all the prime implicants:
- A: Group (1, 2, 3, 4) with d = 0.
- B: Group (2, 3, 7, 8) with b = 0.
- C: Group (3, 4, 12, 15) with a = 0.
- D: Group (2, 3, 4, 5) with c = 1.
- E: Group (7, 8, 14, 15) with b = 1.
- F: Group (4, 5, 9, 10) with a = 1.
- G: Group (8, 9, 12, 15) with c = 0.
- H: Group (12, 14, 15, 10) with d = 1.
2) Minimize f:
To minimize f, we need to simplify it by combining the prime implicants.
The minimized form of f can be expressed as the sum of prime implicants A, B, D, and E:
f = A + B + D + E
This can be further simplified, if desired, using Boolean algebra techniques.
Note: Please double-check the given function f and the tabulation method steps to ensure accuracy in the K-map and prime implicant identification.
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chloes teacher gave her a science test with 25 questions on it she scored 80% on the test how many questions did she get right
Answer:
She answered 20 questions correctly
Step-by-step explanation:
Yuan has 5 quarts of broth. He uses of the broth to make soup. Then, he uses of the broth he has left to make gravy. How much broth, in quarts, does Yuan have left after making soup and gravy?
The Yuan has 1/3 quart of broth left after making soup and gravy.
Yuan has 5 quarts of broth. He uses 1/3 of the broth to make soup. Then, he uses 1/2 of the broth he has left to make gravy. Solution: Yuan has 5 quarts of broth He uses 1/3 of the broth to make soup. After making soup, he is left with 2/3 of the broth.
Now, he uses 1/2 of the broth he has left to make gravy. He has 2/3 x 1/2 = 1/3 quart of broth left after making gravy. Hence, Yuan has 1/3 quart of broth left after making soup and gravy. Therefore, the Yuan has 1/3 quart of broth left after making soup and gravy.
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Can anyone help me solving this question
5x + 2(-3x) = *
A)-11x
B) -x
C) -x^2
D) 11x
Answer:
B) -x
Step-by-step explanation:
distribute the 2 to -3x to get 5x + (-6x)
combine terms to get -x
Round the greater number to the tens place. Then calculate the product.
64 x 3
O A. 72
B. 150
C. 180
D. 192
O E. 210
Answer:
d:192
Step-by-step explanation:
Find the lower quartile of this data set: 593, 588, 540, 434, 420, 398, 390, 375
Group of answer choices
Step-by-step explanation:
thanks thanks thanks thanks thanks