Pls help ASAP PLEASE!!!!!!!!!!!!!
In triangle LMN, m∠L = (2c + 51)°. If the exterior angle to ∠L measures 83°, determine the value of c.

c = 20
c = 23
c = 32
c = 64.5

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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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.

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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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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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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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

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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(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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Main answer: mean = 23

supporting answer: Agraphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

body of the answer: given total number of samples=15

 percentage of failure stain=25 percent=0.25

 standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

           =22.9

since A(0.25)=0.6

b. for 15 adults the mean is 23

for one adult =23/15

                     =1.533

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The mean for the given statistic problem is 23.

The strain for a single adult in a way that conveys information about precision and reliability is 1.533.

What is normal distribution?

A graphical representation of a normal distribution is sometimes called a bell curve because of its flared shape. The precise shape can vary according to the distribution of the population but the peak is always in the middle and the curve is always symmetrical. In a normal distribution, the mean, mode and median are all the same.

Given total number of samples=15

percentage of failure stain=25 percent=0.25

standard deviation=3.5

a. formula used=z=x- mean/standard deviation

p(0.25<x<0)

z=25-mean  /3.5

0.6*3.5=25-mean

mean=25-0.6*3.5

          =22.9

since A(0.25)=0.6

b. For 15 adults the mean is 23

For one adult =23/15

                    =1.533

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Answer:

The answer is A

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

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:

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

Step-by-step explanation:

5 is the correct answer as their is no probability to land on 1

Based on the information provided, the number of times that dice will land on 1 or 5 is 153 times.

The number of times, the dice will land in a specific number is directly related to the probabilities of landing in these numbers.

Landing in 5: 0.16

Landing in 1: Add other probabilities and subtract the total to 1 as follows:

0.1+0.17+0.08+0.16+0.14 =0.65

1 -0.65 = 0.35

Now, add the probabilities: 0.35+0.16 = 0.51

Finally, multiply by the number of times:

300 times x 0.51 =  153 times

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The measure of angle RPT is 122° if the measure of an angle RST is 64°.

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Angle can also refer to a rotation or the measurement of an angle. This measurement is the ratio of the length of a circular arc to its radius.

The total of a triangle's angle measurements is 180°. Because ∠RST = 64°, the other two angles must equal to  180-64 = 116°.

The diagram shows that RST is an isosceles triangle. This suggests that the basis angles, SRT and STR, are equivalent, with each equaling 116/2 = 58°.

RP will cut RST, and PT will cut STR.

PTR = 58/2 = 29° and PRT = 58/2 = 29°.

This suggests that the base angles are 29+29 = 58°, leaving RPT at 180-58 = 122°.

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Answer: 100% increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

4,505 tickets were sold 219 times.

4,505 x 219

The answer is 986,595

The expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.

Given that,

The number of days it takes for packages to arrive from an online shop, together with the probability that it will happen, are provided in the table below.

The table is

Number of days           Probability

A-3                                    0.01

B-4                                    0.14

C-5                                    0.46

D-6                                    0.25

E-7                                     0.14

We have to find the expected value of the random variable, the variance of the random variable and the standard deviation of the random variable.

We know that,

The random variable's predicted value is now shown.

Expected value = summation (x ×P(x))

= 3×0.01+4×0.14+5×0.46+6×0.25+7×0.14

= 5.37

Now the variance of the random variable

Variance =summation ((x - mean)² ×P(x))

= (3-5.37)² × 0.01 + (4-5.37)² × 0.14 + (5-5.37)² × 0.46 + (6-5.37)² × 0.25 + (7-5.37)² × 0.14

= 0.8531

The random variable's standard deviation is now available.

σ  = √(0.8531)

= 0.9236

Therefore, the expected value of the random variable is 5.37, the variance of the random variable is 0.8531 and the standard deviation of the random variable is 0.9236.

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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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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.

The value of [tex]z_{\alpha /2}[/tex] that corresponds to a 90% confidence interval is

The confidence level is the likelihood that, if you repeat your experiment or resample the population in the same manner, you will come close to arriving at the same estimate.

The estimate's upper and lower bounds are what make up the confidence interval for a particular level of confidence.

For 90%confidence interval = 0.9

significance level, α = 1 - 0.9 = 0.10

For two tailed test, α/2 = 0.05

using z table

0.0505 = -1.64

0.05 = x

0.0495 = -1.65

solving for x by interpolation

(0.0505 - 0.05) / (0.05 - 0.0495) = (-1.64 - x) / (x - -1.65)

0.0005(x + 1.65) = 0.0005(-1.64 - x)

x + x = -1.64 - 1.65

x = -1.645

from z tables at 90% confidence interval in two tailed test the score is found to be 1.645

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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!

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

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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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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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:

x = 9

Step-by-step explanation:

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

7x + 67 = 13x + 13

6x = 54

x = 9