The definition of an eigenvector of A with eigenvalue λ.
If A is an n x n matrix and Ax = λx for some scalar λ, then x is an eigenvector of A. True or False?True.
By definition, an eigenvector of a matrix A is a non-zero vector x that satisfies the equation Ax = λx, where λ is a scalar called the eigenvalue corresponding to x.
So if Ax = λx for some scalar λ, then x is a non-zero vector that satisfies the definition of an eigenvector of A with eigenvalue λ.
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One important use of the regression line is to do which of the following?
A. To determine the strength of a linear association between two variables
B. To determine if a distribution is unimodal or multimodal
C. To make predictions about the values of y for a given x-value
D. Both A and B are correct
Answer:
C. To make predictions about the values of y for a given x-value (I THINK)
8 less than the quotient of a number and 4
Answer:
(n/4)- 8
Step-by-step explanation:
a number= "n"
(n/4)-8
Use the number line below to help you determine which of the following expressions is true. 20 WA 201220 70 5.1 52 5.13 SA SS 5.6 5.7 5.8 5.9 60 0 5.4 = 5.04 05.520 > 5.71 0 5.26 < 5.4 O 5.04 > 5.4
Answer:
5.26 < 5.4
Step-by-step explanation: I just took the quiz :) it’s correct
Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 6% while the LTPD acceptable by the assembly department is 39%. Assume the company is willing to accept a consumer's risk of 10
percent and a producer's risk of 5 percent. Use Exhibit 10.16.
Find the sample size.
The sample size required is 29.
To find the sample size, we need to use the concept of Acceptable Quality Level (AQL) and Lot Tolerance Percent Defective (LTPD) along with the consumer's risk and producer's risk.
The AQL is the maximum percentage of defective items that the company is willing to accept from the LSI manufacture department, which is specified as 6%. On the other hand, the LTPD is the maximum percentage of defective items that the assembly department is willing to accept, which is specified as 39%.
To calculate the sample size, we can use the formula for the sample size in attribute sampling plans:
n = (\(Z^{2}\) * p * q) / \(E^{2}\)
Where:
n = sample size
Z = Z-value corresponding to the desired level of confidence (for consumer's risk of 10% and producer's risk of 5%, we can use Z = 1.65)
p = expected proportion of defective items (maximum between AQL and LTPD)
q = 1 - p
E = precision or tolerable error (difference between AQL and LTPD)
In this case, we want to determine the sample size, assuming the worst-case scenario. Therefore, we choose p as the maximum between AQL and LTPD, which is 39%. Hence, q is 1 - p, which is 61%. The precision or tolerable error (E) is the difference between AQL and LTPD, which is 39% - 6% = 33%.
Substituting these values into the formula, we have:
n = (\(1.65^{2}\) * 0.39 * 0.61) / (\(0.33^{2}\))
n ≈ 28.74
Since the sample size should be a whole number, we round up to the nearest whole number.
Therefore, the sample size required is approximately 29.
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Please Help! :)
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \:slope(m) = \dfrac{5}{2} \)
____________________________________
\( \large \tt Solution \: : \)
Slope (m) of a line can be calculated by using this formulae :
\(\qquad \tt \rightarrow \: m = \dfrac{rise}{run} \)
Considering two points [ (60 , 0) and (80 , 50) ]
\(\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} \)
\(\qquad \tt \rightarrow \: m = \dfrac{50 - 0}{80 - 60} \)
\(\qquad \tt \rightarrow \: m = \dfrac{50}{20} \)
\(\qquad \tt \rightarrow \: m = \dfrac{5}{2} \)
So, slope of given line is 5/2
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If Susie's age is 8 less than 3 times her brother's age, and Susie is 13. How old is her brother?
Answer:
correct me if im wrong but my answer is x=7, or in other words, 7.
Step-by-step explanation:
Answer:
7 years old
Step-by-step explanation:
You would start by going backward. If 13 is 8 less, then you would first add 8. You would have 21. Now all you have to do is divide by three. So your answer would be 7. If you would want to check you could plug it back in. 7 multiplied by 3 is 21. 21 - 8=13
The Answer, 7 years old
the sum of four times a number and seventeen 65. find the the number
Answer:
13 divided by 7
Step-by-step explanation:
In a perfectly symmetrical bell-shaped "normal" distribution
a) the arithmetic mean equals the median.
b) the median equals the mode.
c) the arithmetic mean equals the mode.
d) All the above.
The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.
If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.
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pls help me answer this question
Answer:
Step-by-step explanation:
This is an isosceles triangle because side AC and side AB are congruent (they are both marked with single slash marks). That means that angle B and angle C are also congruent. Angle B also measures 2x. To find the measure of each angle we will use the Triangle Angle-Sum Theorem:
x + 2x + 2x = 180 and
5x = 180 so
x = 36
Angle A = 36, B = 72 and C = 72
Answer:
x = 36 degrees
Step-by-step explanation:
This is an isosceles triangle, because two legs are equal. The angles opposite these legs are therefore also equal: <B = <C = 2x. The sum of the interior angles must be 180 degrees. Therefore,
x + 2x + 2x = 180 degrees, and 5x = 180 degrees. Thus, x = 36 degrees.
What are all the values of x that make the inequality 8 - 3x < 20 true?
Let's solve this inequality.
First of all, subtract 8 from both sides:-
\(\sf{-3x < 20-8}\)
\(\sf{-3x < 12}\)
Divide both sides by -3:-
\(\sf{x > -4}\)
Notice that the inequality sign changed...
Here's the rule:-
When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...
So these are the values of x that will make the inequality true:-
\(\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}\)
Well, -3 is greater than 4 :)
Let's plug it in and see if it makes the inequality true:-
-3>-4
Yes, it does make the inequality true :)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
solve by iteration: (10) (i)t(n) = t(n-2) 2n t (1) = 1, t (0) = 0. (ii)t(n) = t(n-1) n/2 t (1) = 1.
By iteration, g(10) = 60 for (i) and g(10) = 14 for (ii)
Given information: The recursive formula are(i) t(n) = t(n - 2) + 2n, t(1) = 1, t(0) = 0(ii) t(n) = t(n - 1) + n/2, t(1) = 1.Solve by iteration:
1. The recursive formula is t(n) = t(n - 2) + 2n, t(1)
= 1, t(0)
= 0.
This can be written as, t(n) = t(n - 2) + 2nOr, t(n + 2) = t(n) + 2(n + 2) (Add 2(n + 2) to both sides)
Let, the initial value of t(n) be g(n)
Therefore, t(n + 2) = g(n + 2)g(n) + 2(n + 2)
This iteration will be used until the value converges to the answer.
2. The recursive formula is t(n) = t(n - 1) + n/2, t(1) = 1.
This can be written as, t(n) = t(n - 1) + n/2Or, t(n + 1) = t(n) + (n + 1)/2
Let, the initial value of t(n) be g(n)
Therefore, t(n + 1) = g(n + 1)g(n) + (n + 1)/2
This iteration will be used until the value converges to the answer.
3. t(0) = 0 and t(1) = 1.This is given.
The iterative method is used when no exact formula can be found that will provide the n-th term of the sequence directly.
The iteration for
(i) becomes, g(0) = 0,
g(1) = 1.g(2)
= g(0) + 2(2)
= 4g(3)
= g(1) + 2(3)
= 7g(4)
= g(2) + 2(4)
= 12g(5)
= g(3) + 2(5)
= 17g(6)
= g(4) + 2(6)
= 24g(7)
= g(5) + 2(7)
= 31g(8)
= g(6) + 2(8)
= 40g(9)
= g(7) + 2(9)
= 49g(10)
= g(8) + 2(10)
= 60
The iteration for
(ii) becomes, g(1) = 1.g(2)
= g(1) + (2)/2
= 2g(3)
= g(2) + (3)/2
= 3.5g(4)
= g(3) + (4)/2
= 5g(5)
= g(4) + (5)/2
= 6.5g(6)
= g(5) + (6)/2
= 8g(7)
= g(6) + (7)/2
= 9.5g(8)
= g(7) + (8)/2
= 11g(9)
= g(8) + (9)/2
= 12.5g(10)
= g(9) + (10)/2
= 14.
The values of g(n) converge to the corresponding values of t(n).
Therefore, the required answers are: g(10) = 60 for (i) and g(10) = 14 for (ii).
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Triangle ABC was rotated about the origin. Which rule describes the rotation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer: A on EDG 2020
Step-by-step explanation:
Answer:
A
Just took the test
Step-by-step explanation:
Help please I’ve been stuck on this for a while
We know that the two angles are equal, so we can set the two equations for the angles equal to each other and solve for \(x\):
\(3x - 6 = 2x + 8\)
Let's move the terms with \(x\) in them to the left side and the constants (just numbers) to the right side of the equation.
\(3x - 2x = 8 + 6\)
\(x = 14\)
The marketing club school is openings student store. They randomly survey 50 students who how much money they spend
onunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars spent on
Students
Lunch Eschwy
510
SSS
05.18
5.07
See
signou
us
247
The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.
The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.
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I need this answer i dont think this is the right anwser please help
Answer: 11 ft.
Step-by-step explanation:
Start by listing the variables that you have.
-Total Area=1,848; lot a 33ft wide, 42ft long; lot b xft wide, 42ft long.
- so, our equation looks like 1,848=(33x42)+(42x)
-multiply 33x42=1,386
-subtract 1,386 from both sides to get 462.
-equation should look like 462=42x
-divide by 42 to 11
What is the value of this expression when g=-3.5?
8-12g-5
Answer:
45
Step-by-step explanation:
8-12(-3.5)-5
8+42-5
=45
Mrs. Eng bought 4 packs of glue sticks. Each pack has 5 glue sticks. Her class uses 2 of the glue sticks for a project. How many glue sticks are left?
Answer:
18 glue sticks are left.
Step-by-step explanation:
There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!
PLS HELPPPPPP
Simplify:
The simplified form of 4\(\sqrt[4]{6a}\) - 3\(\sqrt[4]{6a}\) is \(\sqrt[4]{6a}\)
What is surd?Surds are the square roots of irrational numbers.
They usually have the square roots signs in them. Examples of surds are the square roots of prime numbers.
\(4\sqrt[4]{6a} - 3\sqrt[4]{6a}\)
Since the surds are the same, we factorize
\(\sqrt[4]{6a}(4 - 3)\)
= \(\sqrt[4]{6a}(1)\)
= \(\sqrt[4]{6a}\)
In conclusion, the simplified form of the surd is \(\sqrt[4]{6a}\)
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When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64
The value of the constant of variation is one-fourth. Then the correct option is A.
What is the constant of variation?The term "constant of variation" refers to the fact that the relationship between variables remains constant.
The formula will be
y = kx
where k is the variation constant.
When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be
n = kgf
Then the value of k will be
4 = (2)(8)k
k = 1/4
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Answer:
Keep it simple. Answer: A
Step-by-step explanation:
Write an inequality for each sentence.
More than 3400 people attended the tea market.
Answer:
the take video g g go ytffdee
Please answer all 5 questions in order correctly.
You will be marked as Brainliest.
Answer:
whyd you delte my answer
Step-by-step explanation:
Find the arc length of the semicircle.
Answer:
14.13 units
Step-by-step explanation:
Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.
Which expression is equivalent to 10(f + 6e)?
a. 2(5f - 3e)
b. f(10 + 6e)
c. 2(5f + 3e)
d. 10(f + 6e)
Answer:
D. 10(f + 6e)
Step-by-step explanation:
sana nakatulong
femi went shopping for a new television. the television he wants to buy measures 32 inches diagonally. the length of the television is 24 inches. which measurement is the closest to the length of the height in inches?
Answer:
768
Step-by-step explanation:
I hope you mean this, if you don't say so
Think of 5 positive integers that have a mean, median, mode, and range of 6.
Answer:
3, 6, 6, 6, 9
Step-by-step explanation:
mean of this is 6
median of this is 6
range of this is 6
give brainliset please!
hope this helps ;)
divide £70 in the ratio 4:3
Answer:
£40:£30
Step-by-step explanation:
As we can see the ratio adds up to 7 since:
4+3=7
So now we know 1 share of the ratio will be:
£70÷7=£10
So 4 shares is £40 and 3 shares is £30
Please help so I don’t fail!!
Solve each equation by completing the square
1)b^2-4b-16=-7
2) 5v^2+20v-54=6
Answer:
b = 2 + sqrt13, 2 - sqrt13
v = 2, - 6
Sorry if you need to show work it's really hard to type it out since I don't have the symbols
I'm unsure how to determine the transformation of this graph.
The given graph is a graph of the absolute value function:
\(y=f(x)=|x|\)A graph of the function y=f(x) when translated horizontally by a units, vertically by b units, and horizontally stretched by a factor of k, where k>=1 is :
\(y=\frac{1}{k}f(x-a)+b\)The required graph in the choices is that of the function:
\(y=\frac{1}{3}f(x+5)-3\)This equation shows that the new function translates the previous one vertically down by 3 units (b=-3).
Horizontally to the left by 5 units (a=-5), and a horizontal stretch by a factor of 3 (k=3).
Hence, the new graph will be the one that gives the old graph translated vertically downwards by 3 units, horizontally to the left by 5 units, and a horizontal stretch away from the y-axis by a factor of 3.
The graph that best fits is shown below:
Simplify the expression 3(x + 4) + 5x
Answer:
8x+12
Step-by-step explanation:
3(x+4)+5x
3(x)+3(4)+5x
3x+12+5x
3x+5x+12
8x+12
hopes this helps
Answer:
Hi!
The answer would be 8x+12
I hope this helps you :)
x²
x2 + x
+X
Find g(-6) if g(x)
X +9
g(-6)=(Simplify your answer. Type an integer or a
Answer:
Substitute -6 as x into the equation.
(-6)^2-6/-6+9
36-6/3
30/3
10
So g(-6)=10
:)
Answer:
Substitute -6 as x into the equation.
(-6)^2-6/-6+9
36-6/3
30/3
10
So g(-6)=10
Step-by-step explanation:
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