Answer:
Step-by-step explanation:
(1x10^3) + (7x10^2) + (3x10^1)
in cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. one such method is called
In cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. One such method is called standardization.
Cluster analysis is a data mining approach that is widely utilized in data processing, image analysis, and other data-based analytics applications. It groups items that have comparable characteristics into clusters by separating them from other objects that do not share the same features.
Standardization is the process of converting variables with various scales to a common scale so that they can be compared fairly.
Standardization involves transforming all of the variables into comparable units of measurement by converting them into z-scores. This allows for the comparison of values without being affected by the different units of measurement.
The method that can be used to reduce bias due to the difference in units of measurement in cluster analysis is standardization, which converts variables with various scales to a common scale so that they can be compared fairly. This ensures that each variable contributes equally to the distance between the clusters.
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A ⊆ B
S (B\A)=28, S(B)=5.S(A). S(A)=?
Answer:
S(A) = 7
Step-by-step explanation:
A ⊆B means A is a proper subset of B. That means all elements of set A are also elements of set B
S(B\A) means the set of all elements of B that are not in set A. This is given as 28
We are also given S(B) = 5.S(A)
Since A is a subset of B, S(B) = set of all elements in A and set of all elements in B but not in A
In other words
S(B) = S(A) + S(B\A)
Since S(B) = 5S(A) we get
5S(A) = S(A) + S(B\A)
5S(A) = S(A) + 28
5S(A) - S(A) = 28
4S(A) = 28
S(A) = 7
you play a game in which you must pick a real number x, between 0 and 924. at the same time, the number y is uniformly and randomly selected in the same range. if x is greater than y, then you have to pay the square of the difference between the two numbers. if y is greater than or equal to x, you pay double the difference.
Answer: about 2.2 times 8^8
Step-by-step explanation:
Pay the money x=y^2
(a) how many paths are there from the point (0, 0) to the point (110, 111) in the plane such that each step either consists of going one unit up or one unit to the right? (b) how many paths are there from (0,0) to (210, 211), where each step consists of going one unit up or one unit to the right, and the path has to go through (110, 111)?
(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.
This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).
(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.
First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).
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If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
Write an equation to represent the following scenario:
You are going to the movies with some friends. You know that each movie ticket costs $12. Together, your friends by snacks for $15. You spent a total of $75. How many friends went to the movies?
Answer:
Step-by-step explanation:
Let n represent the number of friends who went to the movies with you.
Then ($12/ticket)n + $15 = $75. Solving for n, we get:
$75 - $15 $60
---------------- = ----------------- = 5 so a total of 5 friends went with you.
($12/ticket) ($12/ticket)
Ms. Alba is on a business trip. Her company gave her $20 for 6 meals. She has spent $95 and has eaten 5 meals. Find x, the amount Alba might spend on her next meal.
A: x ≤ 25
B: x ≥ 25
C: x ≤ 26
D: x ≥ 26
Answer:
A
Step-by-step explanation:
Which of the following statement is true? A=(2x+1), B=(x+15) C=x
is there any option choices to go along with the question?
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
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In this polygon, all angles are right angles What is the area of this polygon?
Answer:
428 square ft
Step-by-step explanation:
to do this you can break the shape up into multiple pieces
you can do it this way
the top left part of the polygon could be one shape
9 by 10
this is because if the left side is 23 and part of the left side is 13 the leftover part is 10
then the bottom is 13 by 26
then you multiply and add them together
(9 * 10) + (13 * 26) = 90 + 338
then you add
90 + 338 = 428
the answer is 428 square ft
how can you find the y-intercept in a table
Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.
Step-by-step explanation:
Solve this equation. Enter your answer in the box.
–4(x – 26) = –200
Answer:
x = 76
Step-by-step explanation:
Distributive property:-4(x-26) = -4x + 104
Subtract 104 from both sides.-4x + 104 = -200
-4x = -304
Divide -4 from both sides.x = 76
The solution of the equation is x= 76.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation –4(x – 26) = –200
–4(x – 26) = –200
-4x + 104 = -200
-4x = -200-104
-4x = -304
x = 304/4
x= 76
Therefore, the solution of the equation is x= 76.
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What is 16% of GHc5000.00
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{16\% of 5000}}{\left( \cfrac{16}{100} \right)5000}\implies 800\)
Algebraic Proof
Match the justification to each step of the deductive reasoning about this picture. Please Help!
The following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
3. 3x + 15 = 6x (Combining like terms)
4. 15 = 3x (Subtraction Property of Equality)
5. x = 5 (Division Property of Equality)
6. CE = 6(5) (Substitution)
Recall:
The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.Thus, the following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
Rationale: Plug in the values of CD, DE and CE3. 3x + 15 = 6x (Combining like terms)
Rationale: Add 8 and 7 together4. 15 = 3x (Subtraction Property of Equality)
Rationale: Subtract 3x from each side of the equation.5. x = 5 (Division Property of Equality)
Rationale: Divide each side of the equation by 3).6. CE = 6(5) (Substitution)
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find the value for x
The value of x is 42 degrees. the angle of the circle is twice on the circumeference.
What is circle?A circle is a simple closed shape in Euclidean geometry, consisting of all the points in a plane that are equidistant from a given point called the center. The distance between any point on the circle and the center is called the radius of the circle. The circle is one of the most fundamental shapes in mathematics and is used in a variety of applications, from geometry and trigonometry to physics and engineering. The properties of circles have been studied for thousands of years and have led to many important discoveries in mathematics.
by the question.
The angle at the center of a circle is twice the angle at the circumference that subtends the same arc.
angle of NML = 1/2(angle of NOL)
x= 1/2(NOL)
X \(x=\frac{138}{2}\\ =69\)
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in how many ways can first, second, and third prizes be awarded in a contest with 170 contestants? your answer is
There are 4,826,640 possible ways to award first, second, and third prizes in a contest with 170 contestants.
To calculate this, use the formula nP3, where n is the number of contestants (170) and P3 represents the permutation of 3 elements. This can be simplified to P(170, 3) = 170! / (170 - 3)! = 170 x 169 x 168 = 4,826,640.
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Could you please help me l beg!
Please refer to the attachment for the answer and explanation. Hope it helps!
hi! I hope you're doing good. Can you please help!
Answer:
I have made it in above picture
PLEASE HELP NEED THIS ASAP PROBLEMS DOWN BELOW THANK YOU ILL MARK BRAINLEST
Answer:
In a 30°-60°-90° right triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
2) DE = 10, DF = 5√3
3) MO = 3√3, LM = 3√3√3 = 9
4) LK = 2√6/√3 = 2√2, JK = 4√2
6) JL = 12√2√3√3 = 36√2,
JK = 24√6
Determine the equation of the circle graphed below.
The equation of the circle in the given graph is:
(x + 3)² + (y + 5)² = 16
How to find the equation of the circle?Remember that the general equation of a circle of center (a, b) and radius R is:
(x - a)² + (y - b)² = R²
Here we can see that the center of the circle is at (-3, -5), and we can see that the radius of the circle is the distance between the center and any point on the circle. Then we have R = 4 units.
Then the equation of the circle is:
(x + 3)² + (y + 5)² = 4²
(x + 3)² + (y + 5)² = 16
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If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c. True False Question 4 (1 point). A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0. True False Question 5 (1 point) If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = C. True False
Question 3: True
Question 4: False
Question 5: True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.
This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.
True
When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.
Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.
False
A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.
Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.
True
If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.
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WILL REWARD What is the equation of the line in point-slope form?
Use the red point in your equation. Write your answer using integers, proper fractions, and
improper fractions in simplest form.
Y-___=___(x-____)
Step-by-step explanation:
the red point is (4, -5).
so, y - (-5) = -1/7(x - 4)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Calculate the inverse of the matrix and find the values for a, b, c, and d: matrix 1 matrix 2
As per the matrix, the value of a, b, c, d are 5, -3. -1, and 2 respectively.
The inverse of a matrix is a matrix that, when multiplied with the original matrix, gives the identity matrix.
To calculate the inverse of a matrix, you first need to find the determinant of the matrix. The determinant is a scalar value that represents the size of the matrix. If the determinant is 0, the matrix is not invertible, meaning that it does not have an inverse.
For the matrix [4 12 1 10], the determinant can be calculated as:
det([4 12 1 10]) = (4 * 10) - (12 * 1) = 40 - 12 = 28
The adjugated of the matrix is:
adj([4 12 1 10]) = [10 -12; -1 4]
Finally, the inverse of the matrix is:
inv([4 12 1 10]) = adj([4 12 1 10]) / det([4 12 1 10])
=> [10 -12; -1 4] / 28
=> [10/28 -12/28; -1/28 4/28]
=> [5/14 -3/7; -1/28 2/7]
So, the values for a, b, c, and d are 5, -3. -1, 2.
Complete Question:
Calculate the inverse of the matrix and find the values for a, b, c, and d
A = [4,12,1,10]
A¹=[a/14,b/7,c/28,d/7]
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Answer:
a= 5 b=-3 c=-1 d=1
Step-by-step explanation:
i just did the assignment edge23
True or false? If y(t) solves the IVP y'' = 3y' + 5y; y(0) = 8,
then the funtion y(t-2) solves the IVP y'' = 3y' + 5y; y(2) =
8.
The statement is true. If y(t) solves the initial value problem (IVP) y'' = 3y' + 5y; y(0) = 8, then the function y(t-2) also solves the IVP y'' = 3y' + 5y; y(2) = 8.
To verify the statement, let's substitute t-2 into the original IVP and check if y(t-2) satisfies the given conditions.
Given that y(t) solves the IVP y'' = 3y' + 5y; y(0) = 8, we can substitute t-2 into the equation to obtain:
(y(t-2))'' = 3(y(t-2))' + 5(y(t-2)).
Differentiating y(t-2) twice with respect to t gives:
y''(t-2) = y'(t-2) = y(t-2).
Substituting these values back into the equation, we have:
y''(t-2) = 3y'(t-2) + 5y(t-2).
Now, let's consider the initial condition y(2) = 8 for the IVP y'' = 3y' + 5y. If we substitute t-2 into this initial condition, we get:
y(2-2) = y(0) = 8.
Therefore, the function y(t-2) satisfies the initial condition y(2) = 8 for the IVP y'' = 3y' + 5y.
In conclusion, the statement is true: if y(t) solves the IVP y'' = 3y' + 5y; y(0) = 8, then the function y(t-2) also solves the IVP y'' = 3y' + 5y; y(2) = 8.
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Find the area and volume of a 11 inch cube (pls write do the equation in steps)
Answer:
1331 inches cubed
Step-by-step explanation:
V=LHW
since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.
Hope this helped!
use long division to find the value of 43.5 ÷ 3
Answer:
14.5
Step-by-step explanation:
I got 14.5 i hope this helps
2(c-6x)+d(5x-1)=2(4x+5) work out c and d
Answer:
c = 7
d = 4
Step-by-step explanation:
To determine the values of c and d in the given equation, expand the brackets and rearrange the terms:
\(\begin{aligned}2(c-6x)+d(5x-1)&=2(4x+5)\\2c-12x+5dx-d&=8x+10\\5dx-12x+2c-d&=8x+10\\(5d-12)x+(2c-d)&=8x+10\end{aligned}\)
To solve for d, equate the terms in x:
\(\begin{aligned}(5d-12)x&=8x\\5d-12&=8\\5d&=20\\d&=4\end{aligned}\)
To solve for c, equate the constants and substitute the found value of d:
\(\begin{aligned}2c-d&=10\\2c-4&=10\\2c&=14\\c&=7\end{aligned}\)
Therefore, the values of c and d are:
c = 7d = 4Check by substituting the found values of c and d into the original equation:
\(\begin{aligned}2(c-6x)+d(5x-1)&=2(4x+5)\\\\c=7,\;d=4\implies 2(7-6x)+4(5x-1)&=2(4x+5)\\14-12x+20x-4&=8x+10\\20x-12x+14-4&=8x+10\\8x+10&=8x+10\end{aligned}\)
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answer: Increase
Step-by-step explanation: 18 is greater than 12
Solve each equation and match the solution
b+2.3= 5.7
A 2.19
B 5 1/2
C 7/9
D 3.4
Answer:
b=3.4 so it is d
Step-by-step explanation:
Subtract 2.3 from both sides of the equation
b+2.3 = 5.7
b+2.3 - 2.3 = 5.7- 2.3
and the simply