An engineer is developing a new method to measure the position of an object in 3D space using a stereo camera. After performing a set of tests from 20 observations, it is found that the variance of the error is s2 = 0.27 mm? For the system to be commercially viable, the error variance should not exceed 0.25 mm². Is there any evidence from the data that the system could not be commercialized? Use a = 0.05.

Answer:

10s-14

Step-by-step explanation:

Perimeter of rectangle = 2s+2(4s-7)

                                      = 2s+8s-14

                                      = 10s-14

= > Perimeter of rectangle = 2(l + b)

= > 2(s + 4s - 7)

= > 2(5s - 7)

= > 10s - 14...ans

Step-by-step explanation:

Answer:

-59049

Step-by-step explanation:

Find the common ratio

3 * r = -9

 r = -3

from first to 10th is 9 ratios

   3 * (-3)^9 = -59049

Step 01:

Data

total math problems = 60

problems solved = 1/4

problems

Step 02:

1/3 is not a fraction of 1/2. To find out what fraction of 1/2 is 1/3, you would need to divide 1/3 by 1/2. This would give you 3/6, or 1/2. So 1/3 is one half of 1/2.

A fraction is a way of representing a part of a whole. It consists of two numbers, a numerator and a denominator, separated by a line or a slash. The numerator represents the number of parts of the whole that are being considered, and the denominator represents the total number of parts that make up the whole. For example, in the fraction 1/2, the numerator is 1 and the denominator is 2, so it represents one part of a whole that is divided into two equal parts. Fractions can also be used to represent ratios and division.

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Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

two sides are longer than the other two, D could also be one of the choices but rectangles have two parallel lines and have shorter sides at the sides

Answer:

the answer should be 30!

Step-by-step explanation:

The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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Answer:

B: 9d^8

Step-by-step explanation:

Simplify the expression using the rules of exponents.

Answer:

The fifth piece of the pyramid after it has been sliced by four cutting planes is a triangular prism. The volume of a triangular prism can be calculated using the formula:

Volume = (base area) * (height)

Where base area is the area of the triangular base of the prism and height is the distance from the base to the top of the prism.

In this case, the base of the triangular prism is an equilateral triangle with side length equal to the side length of the original pyramid, and the height of the prism is equal to the altitude of the original pyramid.

So, the volume of the triangular prism can be calculated as follows:

Volume = (base area) * (height)

= [(side length)^2 * sqrt(3)/4] * (height)

= (side length)^2 * sqrt(3)/4 * (height)

Where side length is the side length of the original pyramid and height is the altitude of the original pyramid.

Therefore, to find the volume of the triangular prism, you will need to know the side length and altitude of the original pyramid.

Answer:

Your answer is

Both F and D is 139

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\(\text{Given that,}\\\\\text{First term,}~ a_1 =4\\\\\text{Second term}~ a_2 = 9\\\\\text{Common difference,}~ d =a_2 - a_1 = 9-4 =5\\\\\text{Nth term}~ = a_1+(n-1)d\\\\~~~~~~~~~~~~~~=4+(n-1)5\\\\~~~~~~~~~~~~~~=4+5n-5\\\\~~~~~~~~~~~~~~=5n-1\\\\\text{25th term}= 5(25) -1 = 125-1 = 124\\\\\text{Hence, the 25th term in the arithmetic sequence is 124.}\)

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

Step-by-step explanation:

Answer:

87.27

Step-by-step explanation:

The argument to be proven is Δ: ~(x)(Bx ⊃ Dx). This can be demonstrated using a proof by contradiction, assuming the negation of Δ and deriving a contradiction.

To prove Δ: ~(x)(Bx ⊃ Dx), we will use a proof by contradiction. We assume the negation of Δ, which is ((x)(Bx ⊃ Dx)). By double negation, this can be simplified to (x)(Bx ⊃ Dx).

Next, we will introduce a new assumption, let's call it γ, which states (∃x)(Bx • ~Dx). We will aim to derive a contradiction from this assumption.

By using the existential elimination (∃E) rule, we can introduce a specific variable, say c, such that (Bc • ~Dc) holds.

Now, we can apply the universal elimination (∀E) rule to the assumption (x)(Bx ⊃ Dx) using the variable c, which gives us Bc ⊃ Dc.

Using modus ponens, we can combine Bc ⊃ Dc with Bc • ~Dc to derive a contradiction, which negates the assumption γ.

Having derived a contradiction, we can conclude that the negation of Δ: ~(x)(Bx ⊃ Dx) is true, leading to the validity of Δ itself: ~(x)(Bx ⊃ Dx).

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The argument to be proven is Δ: ~(x)(Bx ⊃ Dx). This can be demonstrated using a proof by contradiction, assuming the negation of Δ and deriving a contradiction.

To prove Δ: ~(x)(Bx ⊃ Dx), we will use a proof by contradiction. We assume the negation of Δ, which is ((x)(Bx ⊃ Dx)). By double negation, this can be simplified to (x)(Bx ⊃ Dx).

Next, we will introduce a new assumption, let's call it γ, which states (∃x)(Bx • ~Dx). We will aim to derive a contradiction from this assumption.

By using the existential elimination (∃E) rule, we can introduce a specific variable, say c, such that (Bc • ~Dc) holds.

Now, we can apply the universal elimination (∀E) rule to the assumption (x)(Bx ⊃ Dx) using the variable c, which gives us Bc ⊃ Dc.

Using modus ponens, we can combine Bc ⊃ Dc with Bc • ~Dc to derive a contradiction, which negates the assumption γ.

Having derived a contradiction, we can conclude that the negation of Δ: ~(x)(Bx ⊃ Dx) is true, leading to the validity of Δ itself: ~(x)(Bx ⊃ Dx).

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Answer:

\(20\)

Step-by-step explanation:

\(5x+10 - x = 90\\\)

\(4x + 10 = 90\)

\(4x = 80\)

\(x = 20\)

\(\therefore\) the value of \(x\) is \(20\).

Hope this helps :)

Step-by-step explanation:

They will not intersect because they do not have a pair of solutions

Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

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Answer:95%

Step-by-step explanation:

Answer:

25% decrease

Step-by-step explanation:

did the quiz

Answer:

0, 1

1, 4

2, 7

3, 10

4, 13

5, 16

6, 19

7, 22

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Prime factorize 12 , 28 , 21  and 16

12 = 2 * 2 * 3 = 2² * 3

28 = 2 * 2 * 7 = 2² *7

21 = 3 * 7

16 = 2 * 2 * 2 * 2 = 2⁴

\(\dfrac{12^{7}*28^{6}}{21^{7}*16^{6}}=\dfrac{(2^{2}*3)^{7}*(2^{2}*7)^{6}}{(3*7)^{7}*(2^{4})^{6}}\\\\\\\\=\dfrac{2^{2*7}*3^{7}*2^{2*6}*7^{6}}{3^{7}*7^{7}*2^{4*6}}\\\\\\=\dfrac{2^{14}*3^{7}*2^{12}*7^{6}}{3^{7}*7^{7}*2^{24}}\\\\\\=\dfrac{2^{14+12-24}*3^{7-7}}{7^{7-6}}\\\\\\=\dfrac{2^{2}*3^{0}}{7^{1}}\\\\\\=\dfrac{2^{2}}{7}\)

Hint:

\(a^{m}*a^{n}=a^{m+n}\\\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n>m\)

Answer:

X<-4 and -4>x

Step-by-step explanation:

Answer:

90 notebooks and folders

Step-by-step explanation:

Find the least common multiple (LCM) or 18 and 15!

18 x 5 = 90

15 x 6 = 90

Therefore, your answer is 90

Hope this helps!

Answer:

18

Step-by-step explanation:

3 divided by 54 is 18

Answer:

The correct answer would be "$66.85".

i hope  i helped :)

Step-by-step explanation:

Step-by-step explanation:

3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11

Step-by-step explanation:

Reflection about the y-axis followed by a translation left by 2 units

Reflection about the x-axis followed by a translation left by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

i hope it can help. thanks

Answer: The answer is C

Step-by-step explanation: