Which expression represents the volume of the prism in terms of w, the width of the base? 5w2 cubic units 6w2 cubic units 5w3 cubic units 6w3 cubic units

The value of the test statistic is -1.72.

It is given that, a publisher reports that 76% of their readers own a particular make of car.

At the null hypothesis we test, if the proportion is of 76%

⇒ H₀ : p = 0.76

At the alternate hypothesis, we test if the proportion is different from 76%

⇒ H₁ : p ≠ 0.76.

We know the test statistic is,

z = x - μ / (σ/[tex]\sqrt{n}[/tex])

where x is the sample mean,

μ is the value tested at the null hypothesis,

σ is the standard deviation

and n is the size of the sample.

Therefore 76% tested at the null hypothesis

⇒μ = 0.76 and σ = [tex]\sqrt{0.76 * 0.24}[/tex]

Now a random sample of 200 found that 71% of the readers owned a particular make of car.

⇒ n = 200 and x = 0.71

then the value of test statistic implies that,

z = (0.71 - 0.76) /([tex]\sqrt{0.76 * 0.24}[/tex] / [tex]\sqrt{200}[/tex])

  = - 0.05 /(0.42/14.14)

  = - 0.05 / 0.029

z = - 1.72

So z = -1.72 has a p value 0.4272.

implies that 0.01 * 0.4272 =0.04272

So 0.042 > 0.01

which means that there is not sufficient evidence at the 0.01 level to support the executive's claim.

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The acceleration if the object when force is 100N is 10 meters per seconds squared

Given the direct variation relationship

force , f α acceleration, a

f = ka

k = constant of variation

solving for k

90 = k * 9

k = 90/9

k = 10

when force is 100N

100 = 10 * a

a = 100 / 10

a = 10

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Answer:

360

Step-by-step explanation:

You have degrees, so just plug stuff in and cross multiply. This gives you 20π=180*(x radians). (x is what we're solving for.) Solving gives x= π/9 radians.

Now we know θ in terms of radians. We can just plug our numbers in and solve!

40=r(π/9)

Divide by π/9 to get r=360/π cm!

The production level that a maximum profit is   186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.

The  P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate  of the  given equation with respect to x and  y,

Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2

Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000)  = 10-0.001(x-2y) ... 3

Considering the above  equation to  be equal to  zero  :

=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4

=>10-0.001(x-2y) =0 =>0.001(x-2y) =  10 ...5

Solving the equations 4 and 5 we get the lues of x and  y  we get are :

x= 2000, and y = -4000 , Now the partial differentiate for the equations 2  ad 3  are with respect to x and y :

pxx(x,y)=-0.002

pyy(x,y)=  0.002

pxy(x,y) =-1

The discriminant of the function wil  be  at (2000,-4000):

D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0,  so the  critical values (200, -4000) reaches the maximum value .So the  production level will be :

P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000

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The appropriate hypotheses to determine whether the correlation coefficient is significantly different from zero is given as follows:

The claim in this problem is given as follows:

The correlation coefficient is significantly different from zero.

At the null hypothesis, it is tested if there is not enough evidence to conclude that the claim is true, that is, not enough evidence to conclude that the correlation coefficient is significantly different from zero, hence:

[tex]H_0: r^2 = 0[/tex].

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the claim is true, that is, enough evidence to conclude that the correlation coefficient is significantly different from zero, hence:

[tex]H_1: r^2 \neq 0[/tex].

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Answer: 100% increase

Step-by-step explanation:

Serena's company implemented the process of Delayering.

To improve operational efficiency, delayering is the act of removing levels of hierarchy between the top and bottom levels of staff.

Delayering often involves the removal of intermediate managers, giving top managers better access to the business as a whole and fostering the necessary openness.

The delayering process has benefits and drawbacks of its own. Although the employer can lower pay costs, the company's ability to make decisions may suffer as a result of top managers' diminished visibility.  

Delayering is helpful for reducing bureaucracy and increasing flexibility in the organizational structure. Additionally, it enhances internal communication and participation. Other advantages include increased drive and empowerment.

Given that

Serena's company decided to reduce the number of levels within the job structure and as a result, she has 20 more people who report to her. her company implemented.

By the given observation about Delayering, we can conclude that the company implemented the process of Delayering.

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a) T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂). So, T is a linear transformation.

b) T(A)=B, if B be any element of M₂

c) Range of T=={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}

A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns that is used to represent a mathematical object or an attribute of such an item.

A square matrix's determinant is a number connected with the matrix that is crucial for studying a square matrix; for example, a square matrix is invertible if and only if it has a nonzero determinant, and a square matrix's eigenvalues are the roots of a polynomial determinant.

Define T: [tex]M_{ 2*2}[/tex] ⇒ [tex]M_{ 2*2}[/tex] by T(A)=A+[tex]A^{T}[/tex]

a) Let T is a linear transformation

Consider K₁A₁+K₂A₂ ∈  [tex]M_{ 2*2}[/tex]

T( K₁A₁+K₂A₂)= K₁A₁+K₂A₂+( K₁A₁+K₂A₂)[tex]( K₁A₁+K₂A₂)^{T}[/tex]

= K₁T(A₁)+K₂T(A₂)

T( K₁A₁+K₂A₂)= K₁T(A₁)+K₂T(A₂)

Therefore, T is a linear transformation.

b) Let B∈ [tex]M_{ 2*2}[/tex] such that [tex]B^{T}[/tex]=B

Therefore, B is a symmetric matrix.

Let A=(1/2)B∈ [tex]M_{ 2*2}[/tex]

T(A)=A+[tex]A^{T}[/tex]

=(1/2)B+[tex](1/2B)^{T}[/tex]

T(A)=B

A=(1/2)B such that T(A)=B

c) Range of T is the set of B in  [tex]M_{ 2*2}[/tex], [tex]B^{T}[/tex]=B

T( [tex]M_{ 2*2}[/tex])={B∈ [tex]M_{ 2*2}[/tex]/ [tex]B^{T}[/tex]=B}

d) Kernel of T={A∈ [tex]M_{ 2*2}[/tex]/T(A)=0)

={A∈ [tex]M_{ 2*2}[/tex]/A+[tex]A^{T}[/tex]=0}

={A∈ [tex]M_{ 2*2}[/tex]/[tex]A^{T}[/tex]=-A}

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Three points Assuming M22 is the vector space containing all 22 matrices, T: M22 M22 is defined as T(A) = A + AT.

T is a linear transformation, therefore demonstrate it.

b) Assume that B is any element from M22 where BT = B. In M22, look for an A such that T(A) = B.

c) Explain the T kernel.

a) Verifying that T preserves sums and multiplication by scalars—which implies that T(0) = 0 in particular—is sufficient to determine if T is linear.

Additions: T(A+B) = A+B+A+B T = A+B+A T +B

T = (A + A T ) + (B + B T ) = T(A) + T (B).

Scalar multiplication

T(c · A) = (c · A)

T = c · A

T = c · T(A) (A).

b) Calculate A = 1 2B. Since AT = 1 2BT = 1 2B, T(A) = A + A.

T = \s1 \s2 \sB + \s1 \s2 \sB = B.

c) If 0 0 0 0 = A + A, then and only if A = a b c d, A is in the kernel of T.

If and only if 2a = b + c = 2d = 0, i.e., a = d = 0 and c = b, then T = a b c d + a c b d = 2a b + c b + c 2d. Therefore, the set ker(T) = 0 b b 0 : b R is the kernel of T.

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(a) The way that the three principles of experimental design were addressed in this study are;

b) Statistically significant difference means here is that the extreme difference in results that cannot be by chance.

c) Why we can't conclude that acupuncture caused the difference in pregnancy rates is; Placebo effect

How to interpret Statistics testing?

(a) Three principles of experimental design here are: Control, Random, Enough subjects.

The way they were addressed in this study are;

b) Statistically significant difference means here is that the extreme difference in results that cannot be by chance.

c) The placebo effect is what prevents us from concluding that acupuncture caused the difference in pregnancy rates as it means that there is no third group that receives fake acupuncture treatment.

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a) Producing and selling 2200 units will give us a profit of $60,000

b) The number of units that must be produced to avoid a loss is; 200 units

c) The graph of P(x) = 30x - 6000 is as shown in the attached file

We are given the profit function as;

P(x) = 30x - 6000

where x is the number of hats produced and sold.

a) To get a profit of $60000, we will solve for x as;

30x - 6000 = 60000

30x = 66000

x = 66000/30

x = 2200

b) The number of units that must be produced to avoid a loss is;

P(x) = 0

30x - 6000 = 0

30x = 6000

x = 6000/30

x = 200 units

c) The graph of the profit function is as attached.

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Answer:

Step-by-step explanation:

4,505 tickets were sold 219 times.

4,505 x 219

The answer is 986,595

Answer:

------------------

RHS and HL refer to same thing.

A right angled triangle has one hypotenuse and two sides.

If the hypotenuse and one side of one triangle is congruent to hypotenuse and one side of another triangle, then the two triangles are congruent.

We know sides of a right triangle are also called the hypotenuse and legs. RHS is also called HL because they both refer to hypotenuse and one side or leg.

The solution is Option 4.

Roman numeral representing the least 3 digit number which is 100 is C

The Roman numeral for 100 = C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the least 3 digit number be A

Now , the value of A = 100

where 100 is the lease 3 digit number

And , the Roman numeral for 100 is given by C

Therefore , the value of 100 in Roman Numeral is C

Hence , The Roman numeral representing the least 3 digit number which is 100 is C

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Answer:75

Step-by-step explanation:

Since the total angle in the rhombus adds to 360, we minus the 2 110 and get 140. The 65 degrees is reflected on the other side, so we subtract 65 from 140, leaving 75.

The value of [y] will be 1.

Given is the following expression -

y = 2 x (2/4)

We can write the value of [y] as -

y = 4/4 = 1

y = 1

Therefore, the value of [y] will be 1.

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Answer:

slope = -4

Step-by-step explanation:

A (-2,5)

B (0, -3)

slope = (-3-5)/(0-(-2)

-8/2

-4

Answer:39.3 percent

Step-by-step explanation:

3700 out of 6100 is  39.34 percent

The expression which is equivalent to the given expression as in the task content by virtue of the laws of indices is; ( 3 )^2n.

It follows from the task content that the expression which is equivalent to the given expression is to be determined.

Since the given expression is;

( 3^4n ) ^(1/2)

However, it follows from the power of power law of indices that the expression above can be written as follows;

( 3 ) ^ (4n × 1/2)

= ( 3 )^2n

Therefore, the required equivalent expression is; ( 3 )^2n.

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Answer:

-3

Step-by-step explanation:

we just fill in x to see if it is true

5(-3)+12>2(-3)+6

-15+12>-6+6

-3>0
false

5(3)+12>2(3)+6

15+12>6+6

27>12
true

5(-1)+12>2(-1)+6

-5+12>-2+6

7>4
true

5(1)+12>2(1)+6

5+12>2+6

17>8
true

Hopes this helps please mark brainliest

Answer: x= 27/5

Step-by-step explanation:

This equation can rewrite as -2/3x + 4 = 2/5

We separate x by subtracting 4 from both sides

-2/3x = -20/5 +2/5

-2/3x = -18/5

Then we divided both sides by -2/3

Ad we will get x= 27/5

Answer:

x = 9

Step-by-step explanation:

(7x + 7) + 60 = 13x + 13 (exterior angle)

7x + 67 = 13x + 13

6x = 54

x = 9

Answer: True

Step-by-step explanation:

-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞

The value of F is always positive or zero. It never has negative values.

Answer:

  ⊥ to AB : x +y = 6

  ⊥ to AC : x -3y = 0

  ⊥ to BC : x +3y = 9

  see the attachment for a graph

Step-by-step explanation:

You want the equations and graphs of the perpendicular bisectors of AB, BC, and AC where the points are A(1, 2), B(4, 5), and C(2, -1). You want to relate this to finding the center of a circle through three non-collinear points.

The perpendicular bisector of a segment PQ with P(x1, y1) and Q(x2, y2) can be written as ...

  (x2-x1)(x -(x1+x2)/2) +(y2-y1)(y -(y1+y2)/2) = 0

Applying this to the given segments, we have ...

  ⊥ to AB : (4 -1)(x -(4+1)/2) +(5 -2)(y -(5+2)/2) = 0   ⇒   x +y = 6

  ⊥ to AC : (2 -1)(x -(2+1)/2) +(-1 -2)(y -(-1+2)/2) = 0   ⇒   x -3y = 0

  ⊥ to BC : (2 -4)(x -(2+4)/2) +(-1 -5)(y -(-1+5)/2) = 0   ⇒   x +3y = 9

The attachment shows a graph of the lines and their single point of intersection.

Each perpendicular bisector is the locus of the centers of circles through the end points of the respective segments. Then the intersection of those bisectors is the center of a circle through all of the points.

Solving any pair of these equations simultaneously gives the circle center as (4.5, 1.5). This is point D on the graph.

The given points are non-collinear, and the intersection of the perpendicular bisectors is the center of a circle through them. The method described in this problem is a suitable method for finding the circle center. (If the three points are considered a triangle, this center is called the "circumcenter.")

__

Additional comment

We have written the equations for the lines in standard form, with a positive leading coefficient and mutually prime integers. You will notice the graphing program wrote the same equations for those lines.

Answer:

The answer is A

Step-by-step explanation: I'm so smart

The vertices of the triangle after reflection over the y - axis are  P'(2,-4) , Q'(-2 , -5) and R'(1 , -8)  .

In the question ,

it is given that ,

the vertices of the triangle PQR are P(-2, -4), Q(2, -5) and R(-1, -8),

we have to write the coordinates after reflection over y axis .

we know that the coordinate (x,y) after reflection over y axis become (-x,y).

So , the coordinate P(-2 , -4) after reflection is P'(2,-4) .

the point Q(2,-5) becomes Q'(-2 , -5) .

the vertex R(-1 , -8) becomes R'(1 , -8) .

Therefore , the vertices of the reflected triangle are P'(2,-4) , Q'(-2 , -5) and R'(1 , -8) .

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According to Fleming's left hand rule, the thumb points along + y direction, so the magnetic force will be directed along + y axis (or in the direction of flow of current.

From relation vector F= qvB [i (–k )] = + qvB(j)

Magnetic force vector F along + y axis.

The Fleming Left-hand Rule According to Fleming's left-hand rule, if we stretch the thumb, middle finger, and index finger of the left hand to make an angle of 90 degrees (perpendicular to each other) and the conductor placed in the magnetic field experiences the magnetic force.

This rule was invented in the late 1800s by John Ambrose Fleming as a simple method of determining the direction of electric current in an electric generator or the direction of motion in an electric motor.

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The correct option which represents  sum expressed in sigma notation is A.

What is sigma notation?

A series is represented in an exceedingly compact type, referred to as summation or sigma notation. The greek capital letter, ∑ , is employed to represent the total.

The series 4+8+12+16+20+24 is expressed as ∑n= 4n . The expression is browse because the total of 4n as n goes from one to six . The variable n is termed the index of summation.

The geometric series.

Main body:

∑ 125 (1/5)ⁿ⁻¹ ; where, n = 1 to 4.

Now, Calculate the partial sum of the geometric series as;

The geometric series = ∑ 125 (1/5)ⁿ⁻¹

Substitute n = 1, 2, 3, 4, we get;

= 125 (1/5)¹⁻¹ + 125 (1/5)²⁻¹ + 125 (1/5)³⁻¹ + 125 (1/5)⁴⁻¹

= 125 (1/5)⁰ + 125 (1/5)¹ + 125 (1/5)² + 125 (1/5)³

= 125 + 25 + 125/25 + 125/125

= 125 + 25 + 5 + 1

Thus, The partial sum of the geometric series is;

⇒ 125 + 25 + 5 + 1

Option A is true.

The correct question is in the figure.

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4300 workers are there in all.

What is algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.

Here, we have

In a company, 90% of the workers are women.

430 people work for the company who aren’t women.

% of male = 10%

Now,

10% of x = 430

10÷100 × x = 430

x = 4300

Hence, 4300 workers are there in all.

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The sum of decimals 4.2 and 466.99​ evaluates to 471.19

Decimals are numbers that consist of two parts namely, a whole number part and a fractional part separated by a decimal point e.g 2.35

Given:  4.2 and 466.99​

To evaluate the sum of 4.2 and 466.99​, you simply need to add the two numbers. Arrange the numbers as shown below and add as you would add other numbers.

    4.2

466.99

.................

  471.19

................

Therefore, the sum 4.2 and 466.99​ is  471.19

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