Answer:
fx
2.542809140.5sum of (fx)= 214
mean = £fx/ N
N=100
mean= 214÷100
mean = 2.14
Compare A and B, if 120 % of A is equal to 150 and 105 % of B is equal to 165.
A....B
The comparison between A and B is as follows:A < B.
We are given that:120 % of A is equal to 150 => (120/100)A = 150
Divide both sides by 120/100: A = 150 × 100/120 = 125
And, 105 % of B is equal to 165 => (105/100)B = 165
Divide both sides by 105/100: B = 165 × 100/105 = 157.14
Therefore, A = 125 and B = 157.14
Compare A and B:It can be seen that B is greater than A. Therefore, B > A. Hence, the comparison between A and B is as follows:A < B.
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What does the slope of a line indicate about the line?
The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
If 24 men complete a work in 10 days , then 12 men can complete the same work in
Answer:
if 24 men can complete work in 10 days then 12 men ca complete work in 20 days just multiply by 2
hair, black, babin, and anderson, multivariate data analysis with readings (4th edition), prentice-hall, 1995 pdf
Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.
Hair, black, Babin, and Anderson are terms that relate to the book "Multivariate Data Analysis with Readings (4th Edition)" by Joseph F. Hair Jr., Rolph E. Anderson, William C. Black, and Barry J. Babin.
This book was published by Prentice-Hall in 1995 and is available as a PDF. "Multivariate Data Analysis with Readings" is a comprehensive guide to the concepts and techniques used in multivariate data analysis. It covers a range of topics, including exploratory data analysis, regression analysis, principal component analysis, and factor analysis.
The book also includes a variety of case studies and examples to help readers understand how to apply these techniques to real-world data. It is intended for students and researchers in fields such as business, marketing, psychology, and social sciences.
Overall, "Multivariate Data Analysis with Readings" is a valuable resource for anyone looking to learn about multivariate data analysis and its applications.
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Which linear inequality is represented by the graph?
a. y > 2/3x - 1/5
b. y ≥ 3/2x + 1/5
c. y ≤ 2/3x + 1/5
d. y < 3/2x - 1/5
Answer:
c
Step-by-step explanation:
you know that since it's a solid line it has to be at least equal to then by that put it in a graphing calculator to find which direction the shades portion is (btw I'm not extra sure but I hope this helps)
A set of data has the trend line modeled by the equation Y =1.5x + 11. What value of X corresponds to y =56?
Answer:
x = 30
Step-by-step explanation:
Plug in 56 in place of y, then solve for x.
56 = 1.5x + 11
Subtract 11.
45 = 1.5x
Divide both sides by 1.5.
45/1.5 = x
30 = x
Answer:202
Step-by-step explanation:
I did it
How can i do this math problem?
B²(c+d)-a²(m+n)+2x
(Is to find the numerical value of algebraic expressions)
A=1, b=2, c=3, d=4, m= 1/2, n= 2/3, p= 1/4, x=0
Please help me
To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.
Here is the step-by-step explanation:
1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)
2. Simplify the expression by following the order of operations:
(4)(7)-(1)(7/6)+0
3. Simplify further:
28-7/6
4. Find a common denominator and combine the terms:
168/6-7/6
5. Simplify the expression to get the final numerical value:
161/6
Therefore, the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.
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The numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.
To find the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x, we need to substitute the given values of the variables into the expression and then simplify.
Here are the steps to do this:
1. Substitute the given values of the variables into the expression:
(2)²(3+4)-(1)²(1/2+2/3)+2(0)
2. Simplify the expression inside the parentheses:
(2)²(7)-(1)²(7/6)+0
3. Simplify the exponents:
4(7)-1(7/6)+0
4. Multiply the numbers:
28-7/6+0
5. Simplify the expression by finding a common denominator and combining the terms:
28-7/6 = 168/6-7/6 = 161/6
So the numerical value of the algebraic expression B²(c+d)-a²(m+n)+2x is 161/6.
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Solve each triangle. Round your answers to the nearest tenth.
show work If possible
∠ABC = 76°
BC = 20.1
CA = 28.0
Step-by-step explanation:Solving the triangle means finding all unknown angles and sides of the triangle.
(i) Two of the angles (∠BCA = 60° and ∠CAB = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating that the sum of angles of a triangle is equal to 180°.
Therefore, the sum of angles of the triangle ABC is 180°. i.e
∠ABC + ∠BCA + ∠CAB = 180°
=> ∠ABC + 60° + 44° = 180°
=> ∠ABC + 104° = 180°
=> ∠ABC = 180° - 104°
=> ∠ABC = 76°
(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;
=> \(\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}\)
=> \(\frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}\)
Substitute the necessary values
\(\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}\) ---------------------(ii)
(a) To get side BC, use the first two terms of equation (ii)
\(\frac{sin60}{25} = \frac{sin44}{BC}\)
Cross multiply
BC x sin 60 = 25 x sin 44
BC x 0.8660 = 25 x 0.6947
0.8660 x BC = 17.3675
BC = \(\frac{17.3675}{0.8660}\)
BC = 20.05
=> BC = 20.1 to the nearest tenth
(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;
\(\frac{sin60}{25} = \frac{sin76}{CA}\)
Cross multiply
CA x sin 60 = 25 x sin 76
CA x 0.8660 = 25 x 0.9703
0.8660 x CA = 24.2575
CA = \(\frac{24.2575}{0.8660}\)
CA = 28.01
=> CA = 28.0 to the nearest tenth
I will give you 30 points
1. Three examples of situations where consistency is important:
HealthcareFinancial transactionsSports RulesHow do these portray consistency?Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.
Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.
Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.
2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.
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Whats the answer for this question guys???
Answer:
0.78539816
Step-by-step explanation:
hope this helped
Answer:
25m
Step-by-step explanation:
/_B=pie/4=45°
since we have /_C=90° then this triangle is a right isosceles triangle
so sides are equal
so a=b= 25 m
I am confused for this?
Answer:
5(2x+1)^2
Step-by-step explanation:
You're almost there
5 (1+4x+4x^2) = 5(2x+1)(2x+1)
= 5 (2x+1)^2
show working and answer
There is no answer since we cannot take the square root of a negative trigonometry value. As a result, the issue as presented cannot be resolved.
what is trigonometry?The area of mathematics called trigonometry examines how triangle side lengths and angles relate to one another. The subject first came to light in the Hellenistic era, about in the third century BC, as a result of the use of geometry in astronomical investigations. The area of mathematics known as exact techniques deals with several trigonometric functions and possible computations using them. There are six common trigonometric functions in trigonometry. These go by the designations sine, cosine, tangent, cotangent, secant, and cosecant, respectively (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. Consequently, studying geometry entails learning about the characteristics of all geometric forms.
Trigonometry can be used to resolve this issue. We'll abbreviate the angle between the stairs and the slide as "".
We must first determine the slide's height. The Pythagorean Theorem allows us to perform the following:
Height 2 equals (slide length)/2 - (distance from step bottom to bottom of slide)/2 Height 2 equals 4.2/2 - 4.9/2 Height 2 equals -7.55
There is no answer since we cannot take the square root of a negative value. As a result, the issue as presented cannot be resolved.
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Could someone check my answer?
(I'm pretty sure it's neither).
Answer:
i don't think it's right
Step-by-step explanation:
Answer:
The answer to the question provided is neither.
-
Step-by-step explanation:
☆We need to find the y value for the second equation first.
\( - 2x + 10y = 5 \: \: \: \: \: \: \\ \frac{ + 2x \: \: \: \: \: \: \: \: = + 2x}{ \frac{10y}{10} = \frac{2x + 5}{10} } \\ \\ y = \frac{1}{5} x + \frac{1}{2} \)
☆Its neither because the slopes arent the same and also isn't a negative reciprocal.
Factor the common factor out of each expression. PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
1. 4(4-9m) 2. 8(x-5) 3. 7(5-3a) 4. 2(2n-1) 5. -10(3n+1) 6. 6(5n+1) 7. 10(3x+7) 8. -3(n+4) 9. 2(9-2a) 10. 8(1-k) 11. 5(8-7n) 12. 5(9x-5)
Step-by-step explanation:
Help pls help NOW! 35 points.
please help asap, will give brainliest and 5.0 star rating
Answer:
The mean is 3
Step-by-step explanation:
please help its due today
The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively
How to find the measure of the angles?To determine K
9x + 2 = 23 + 5x -1
9x -5x = -1 +2
4x = -3Making x the subject we have
x= -3/4
To find the value of L
Let angle L be x
x + 65 = 130
x=130-65
That is x = 65
To find the m<C
4x + 7 = 3x + 15
Collecting like terms
4x - 3x = 15-7
Making x the subject of the relation we have
x=8
To find the m<N
7x + 6x - 1 = 90
13x = 89
x=89/13
x= 6.9
Substitute x = 6.9 in 6x -1
6(6.9) -1
m<L = 40.4
To find the m<O
5x - 11 = 4x +9
5x-4x = 9 +11
x=20
By substitution in 4x +9 we have
4(20) +9
80+9
m<S = 89
To find the value of the angle G
6x - 4 = 5x +4
6x - 5x = 4+4
x = 8
Therefore the m<G is
5x +4
5(8) +4
40+4 = 44 digress
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Which ordered pair does NOT lie on the graph of y = x/4 + 5?
How many positive integers less than 875 are multiples of 4, 7, or 3? Use the principle of inclusion/exclusion. Show your work for full/partial credit.
There are 512 positive integers less than 875 that are multiples of 4, 7, or 3 using principle of inclusion/exclusion.
To solve this problem using the principle of inclusion/exclusion, we need to find the number of integers that are divisible by each of the three given numbers, then subtract the numbers that are divisible by the combination of two of the numbers, and finally add back the numbers that are divisible by all three numbers.
First, we find the number of integers that are divisible by 4, 7, or 3 individually. For 4, the largest multiple less than 875 is 872, and there are 218 multiples of 4. Similarly, for 7, the largest multiple less than 875 is 861, and there are 124 multiples of 7. For 3, the largest multiple less than 875 is 873, and there are 291 multiples of 3.
Next, we find the numbers that are divisible by the combination of two of the numbers. There are three pairs of numbers, and for each pair, we find the largest multiple less than 875 and divide it by the product of the two numbers. The pairs are (4,7), (4,3), and (7,3).
The largest multiples less than 875 for each pair are 868, 870, and 861, respectively. So the numbers that are divisible by (4,7), (4,3), and (7,3) are 31, 58, and 41, respectively.
Finally, we find the numbers that are divisible by all three numbers. The smallest multiple of 4, 7, and 3 is 84, and the largest multiple less than 875 is 864. So there are 9 multiples of all three numbers.
Using the principle of inclusion/exclusion, the number of positive integers less than 875 that are multiples of 4, 7, or 3 is:
218 + 124 + 291 - 31 - 58 - 41 + 9 = 512.
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show that c(n, k) < c(n, k \) if and only if k < (n— 1)/2. (b) use part (a) to deduce that the maximum of c(n, k) for k = 0. 1. n is c(n. (n/2j).
The statement "c(n, k) < c(n, k ) if and only if k < (n— 1)/2" is proven, and it is used to deduce that the maximum of function c(n, k) for k = 0, 1, ..., n is c(n, n/2).
(a) We have the formula for binomial coefficient as c(n, k) = n!/(k!(n-k)!). Then, we have
c(n, k)/c(n, k+1) = [n!/k!(n-k)!]/[n!/(k+1)!(n-k-1)!]
= (k+1)/(n-k)
Therefore, c(n, k) < c(n, k+1) if and only if (k+1)/(n-k) > 1, which is equivalent to k < (n-1)/2.
(b) Using part (a), we can see that the binomial coefficient is increasing until k reaches (n-1)/2 and decreasing thereafter. Therefore, the maximum of c(n, k) occurs when k = (n/2) or (n/2) - 1, depending on whether n is even or odd. We can write this as c(n, (n/2) + j) where j = 0 for even n and j = 1/2 for odd n.
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Pls guys I need it ASAP I’m being timed .
Answer:
Step-by-step explanation:
What does Moon Shadow communicate by contrasting his father's kites with a bunch of paper and sticks"?
Solve this system of equations by graphing. First graph the equations, and then type the solution.
The graph of the equation given is mentioned below.
What is plot point in graph ?
Whenever we draw a point on our grid, we'll call it "plotting a point." The grid is really called a "graph" and the points we plot are called "coordinates." These are really locations on a plane -- we're just finding and labeling them.
Equation given,
y = 3/5x - 1 ----eq(i)
y = 2/5x -----eq(ii)
Now, for this two equation we infinite points for real numbers.
Now, take some points to plot the graph.
First for the eq(i)
Put x = 0, so y = -1
Put x = 5, so y = 2
Points for eq(i) is (0, -1) and (5, 2)
Now, for eq(ii)
Put x = 0, so y = 0
Put x = 5, so y = 2
Points for eq(ii) is (0, 0) and (5, 2)
Common point is (5, 2)
Now, plot this point on graph.
Hence, for more clarity graph of the equation given is mentioned below.
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What is the sum of the interior angles in this shape?
Answer:
270
Step-by-step explanation:
90+45+45+110
so that is wat i think ooo
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12
The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation
\(h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\\)
When t = 0, then the value of the h will be
\(h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9\)
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Answer:
9
Step-by-step explanation:
The answer above is correct.
Solve the compound inequality.
Answer:
x < 0 or x > 3
Step-by-step explanation:
First, we'll solve 5x - 11 < -11.
5x < 0 so x < 0.
As for 4x + 2 > 14, 4x > 12 which means x > 3.
Write the equation of the line in slope intercept form. The line is parallel to y=2x+3 and passes through the point (-100, -100)
Answer:
y = 2x + 100
Step-by-step explanation:
If the line is parallel to y=2x+3 this means that both the lines have the same slope.
So Slope(m) = 2 and Points = (-100, -100)
Now we can you the point-slope formula to get the equation of this line
y - y1 = m(x - x1)
y - (100) = 2(x - (-100))
y + 100 = 2(x + 100)
y + 100 = 2x + 200
Now that we got our point-slope formula we can convert it into y = mx + b by isolating the y value
y + 100 = 2x + 200
y + 100 - 100 = 2x + 200 - 100
y = 2x + 100
Letf: R → R be continuous and let F be an antiderivative of f. If V F(x) dx = 0 for some k > 1, then xf (kx) dx Select one: O a. is F(1) O b. None of them c. cannot be determined O d. is F(k)/k
The answer is (d) xf(kx) dx = xF(kx)/k - ∫F(kx)/k dk = xF(kx)/k - F(0)/(k^2) = F(0)x/k^2.
We can use integration by substitution to evaluate the integral:
∫x*f(kx) dx
Let u = kx, then du/dx = k and dx = du/k. Substituting these into the integral, we get:
∫x*f(kx) dx = ∫(u/k)f(u) (du/k)
= (1/k) * ∫uf(u) du
Since F is an antiderivative of f, we have F'(x) = f(x). Using integration by parts with u = u and dv = f(u), we get:
∫uf(u) du = uF(u) - ∫F(u) du
Now we can substitute back in u = kx and simplify:
∫xf(kx) dx = (1/k) * [kxF(kx) - ∫F(kx) dk]
= x*F(kx)/k - ∫F(kx)/k dk
Evaluating the definite integral from 0 to k, we get:
∫xf(kx) dx = kF(k) - F(0)/k
Now, since we're given that ∫V F(x) dx = 0, we can substitute in V for x and solve for F(k):
0 = k*F(k) - F(0)/k
F(k) = F(0)/(k^2)
Therefore, the answer is (d) xf(kx) dx = xF(kx)/k - ∫F(kx)/k dk = xF(kx)/k - F(0)/(k^2) = F(0)x/k^2.
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Consider the following function f(x)=x4+3, x>=0.Find an explicit formula for f^-1
The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.
To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Rewrite in simplest terms: -9a-2(9a-5)
Answer: -27a + 10
Step-by-step explanation:
1
Distribute
- 9a - 2 ( 9a - 5 )
- 9a - 18a + 10
2
Combine like terms
- 9a - 18a + 10
- 27a + 10