A consumer protection testing agency wants to study the life expectancy of a particular job lot of a new radial tire (see = TIRES). Ten tires were randomly selected from the job lot. Achieved mileages before the minimum tread depth was reached (and the tires were declared worn out) were: 32,800,41,700,35,200,39,000, 36,200,35,600,35,700,45,200,42,800, and 35,700 . a. Construct a frequency distribution and cumulative frequency distribution for these data.

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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The percentage of the students that do not like to travel out of state like camping is 34%. The Option B is correct.

Given that:

The number of students who do not like to travel out of state and like camping = 38

The total number of students who do not like to travel out of state is 112.

The percentage of non-travelers who like camping will be calculated as:

= (Number of non-travelers who like camping / Total number of non-travelers) x 100%

= (38 / 112) x 100%

= 0.33928571428 * 100%

= 33.93%.

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Answer:

16. 2x -3 + 2x -3 = 4x -6

x + 5 + x + 5 = 2x + 10

4x -6 + 2x + 10 =

Step-by-step explanation:

Okay, here we have this:

Answer:

−4+5−2

Step-by-step explanation:

Just combine the like terms which are 3y and 2y, you add and get 5y and everything else stays the same

Answer:

The missing value is -9

Step-by-step explanation:

Given

\(-7 = _ -(-2)\)

Required

Determine the missing value

Represent _ with a variable

\(-7 = x -(-2)\)

Open the bracket

\(-7 = x -1*-2\)

\(-7 = x + 2\)

Subtract 2 from both sides

\(-7 - 2 = x + 2 - 2\)

\(-9 = x\)

Reorder

\(x = -9\)

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

Answer:

At 4:58.

Step-by-step explanation:

The time for the 700th hiccup is 5 * 7000

= 3500 seconds.

= 3500/60

= 58.33 minutes,

the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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The equation of the ellipse with foci at ​(39​,0) and ​(-39​,0) and a constant difference of 30 is given as follows:

x²/39² + y²/9² = 1.

The equation of an ellipse of center (h,k) is given by the rule presented as follows:

(x - h)²/a² + (y - k)²/b² = 1.

In which:

The coordinates of the foci are given as follows:

​(39​,0) and ​(-39​,0).

The center is the midpoint of these two coordinates, hence:

The coefficient a is given as follows:

a = |39 - 0| = |0 - 39| = 0.

Considering the constant difference of 30, the constant b is given as follows:

b = a - 30 = 39 - 30 = 9.

Thus the equation of the ellipse is given as follows:

x²/39² + y²/9² = 1.

The problem asks for the equation of the ellipse with the given features.

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The domain of ggg is option D: -7 ≤ x ≤ 4.

To determine the domain of a function, we need to identify the set of all possible values for the independent variable, in this case, x, for which the function is defined.

In option D, the domain is specified as -7 ≤ x ≤ 4. This means that x can take any value within the closed interval from -7 to 4, inclusive.

In other words, the domain of ggg includes all real numbers between -7 and 4, including -7 and 4 themselves. This interval represents the range of values for x that satisfy the given conditions for the function ggg.

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The angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

what is the rate of change in calculus?

The rate of change defines the relationship between two changing variables. Consider a moving object that moves twice as much in the vertical direction (y) as it does in the horizontal direction (x). This can be expressed mathematically as y = 2x.

Let 'θ' represent the angle between the minute and hour hand.

Let θ1 be the angle between the minute hand and 12.

                     \(\frac{d\theta_2}{dt}=\frac{1}{60*12}\times2\pi\\\\\frac{d\theta_2}{dt}=\frac{\pi}{360}\)(Between hour hand and 12)

                     \(\theta=\pm(\theta_1-\theta_2)\\\\\frac{d\theta}{dt}=\pm(\frac{d\theta_1}{dt}-\frac{d\theta_2}{dt})\\\\\frac{d\theta}{dt}=\pm(\frac{\pi}{30}-\frac{\pi}{360})\\\\\frac{d\theta}{dt}=\pm5.5$ degree$\)

Hence the angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.

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Answer:

$3.53

Step-by-step explanation:

3.84 decrease 8% = 3.5328

3.84 decrease 8% =

3.84 × (1 - 8%) = 3.84 × (1 - 0.08) = 3.5328

Answer:

 \(\frac{dy}{dt} = 102\)

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \(\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)\)

Given x = -2

\((\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)\)

\((\frac{dy}{dx} ) x_{=-2} = 36 -2 =34\)

Step(ii):-

we know that

                     \(\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }\)

Given    \(\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34\)

                  \(\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }\)

substitute values    \(\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34\)  

           ⇒        \(34 = \frac{\frac{dy}{dt} }{3 }\)

cross multiplication , we get

                      \(\frac{dy}{dt} = 34( 3 ) = 102\)

Final answer:-

 \(\frac{dy}{dt} = 34( 3 ) = 102\)

Answer:

Step-by-step explanation:

4ab • (((5a2 • b2) +  2ab) -  3)

2.1    Factoring    5a2b2 + 2ab - 3

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (5ab - 3)•(ab + 1)

4ab • (5ab - 3) • (ab + 1)

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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Answer: m = 29

Step-by-step explanation:

first, swap the sides.

4m = 116

then, simply divide both sides.

m = 29

Answer:

m=29

Step-by-step explanation:

Answer:

They are the same

Step-by-step explanation:

So this is not really a question, but congruent means the same size, shape, and has the same angles. They can be moved by rigid transformations, but are still the same shape.

Hope that helps!

Answer:

first bring x value together

Step-by-step explanation:

like 2x and 3x together and then take 5/3 to RHS and solve

Answer:

Step-by-step explanation:

Area = s^2

s = 2x^2 - 9

Area = (2x^2 - 9)^2

Area = 4x^4 - 36x^2 + 91

Answer: Most likely the answer is D.

Step-by-step explanation:

since its the only equation that could go into the negatives if 2 is being multiplied it is most likely d

f(x) is an even function.

To determine whether a function is even, odd, or neither, we need to check if the function satisfies the following properties:

- Even function: f(-x) = f(x) for all x
- Odd function: f(-x) = -f(x) for all x

If the function satisfies neither of these properties, we say it is neither even nor odd.

65. f(x) = x^2 + 1

We have:

f(-x) = (-x)^2 + 1 = x^2 + 1 = f(x)

Therefore, f(x) is an even function.

67. f(x) = x + 1

We have:

f(-x) = -x + 1

If f(x) is even, then f(-x) = f(x), which is not the case here.

If f(x) is odd, then f(-x) = -f(x), which is also not the case here.

Therefore, f(x) is neither even nor odd.

69. f(x) = 1 + 3x^2 - x^4

We have:

f(-x) = 1 + 3(-x)^2 - (-x)^4 = 1 + 3x^2 - x^4

If f(x) is even, then f(-x) = f(x), which is the case here.

Therefore, f(x) is an even function.
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Answer:

C=2v

Step-by-step explanation:

because 0*2=0 1*2=2 2*2=4 3*2=6 4*2=8 5*2=10 so C=2v

She used 29.8 feet of fencing for the fence -> The circumference of the circular garden is 29.8ft

Formula for circumference : 2πr

So, the radius is equal to : 29.8 : 2 : π = 4.74281730414... (round to 4.7)

Recheck : 4.7 x 2π = 29.5309709437... (close to 29.8)

The no: of solutions that the equation -1/2(-8x+14) = 3x +9+x  has is 1

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The no: of solutions that the equation is -1/2(-8x+14) = 3x +9+x is 1

as the equation is 1 degree polynomial.

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Given that Ben bowled 134 and 213 at his first two games.

Let Ben bowled x in his third game, then the average of his three bowling would be

If Ben has an average of at least 160, then the value of x is as calculated below:

Hence, Ben must bowl at least 133 to have an average of at least 160

The researcher is collecting data through self-reported subjective measurement, which is a type of qualitative measurement

The type of measurement the researcher is collecting is self-reported subjective measurement. This means that the students are providing their own opinions or perceptions about their level of happiness during the school day. The researcher is not measuring a physical or objective characteristic of the students, but rather their subjective experiences or feelings.

The scale of 1-10 is a Likert scale, which is a type of rating scale commonly used in survey research to measure attitudes or opinions. It allows respondents to indicate their level of agreement or disagreement with a statement or question by selecting a point on the scale. In this case, the question asked the students to rate their level of happiness during the school day on a scale from 1-10.

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