Identify the figure that illustrates "a reflection in line k."

Answer:

15

Step-by-step explanation:

The probability that the first number divided by the second number is greater than zero is 1/3

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Tiles are numbered -2,-1,1,2

So, possibility first number divided by the second number is greater than zero

-2/-1=2

-2/1=-2

-2/2=-1

-1/-2= 0.5

-1/1=-1

-1/2=-0.5

1/-2=-0.5

1/-1=-1

1/2=0.5

2/-2=-1

2/-1=-2

2/2=1

Probability the first number divided by the second number is greater than zero = 4/12=1/3.

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Answer: 9 cm

Step-by-step explanation: Let's create a proportion. 20/50 = x/22.5. Using cross-multiplying, we get 22.5 x 20 = 50 times x. We can simplify this equation to get 450 = 50x. To get x by itself, we divide both sides of the equation by 50, leaving us with 9 = x, or 9 cm

To find ANOVA df: find N to get dftotal=N-1, calculate Ybar and group means to get dfbetween=k-1, and use dfwithin=N-k. Without Ybar1, Ybar2, and Ybar3, only dftotal and dfwithin can be calculated.

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Answer:

28k + 68

Step-by-step explanation:

7(8 + 4k) + 12

first, you use the distributive property on the parentheses

56 + 28k + 12

then you add like term, 56 + 12 = 68

68 + 28k

numbers with variables go first

28k + 68

Answer:

B. 12.5%

Step-by-step explanation:

Find how much was unused:

120 - 105

= 15

To find what percent this is, divide it by 120:

15/120

= 0.125

Multiply this by 100:

0.125(100)

= 12.5

So, 12.5% of the wire went unused

The correct answer is B. 12.5%

Answer:

25

Step-by-step explanation:

The expression -b³c is the polynomial. The type of the polynomial is cubic polynomial and the degree is 3.

Polynomial:

Polynomial is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Given,

Here we have the expression  -b³c.

And we need to find the following:

1) check it if is polynomial or not

2) type of the polynomial

3) degree.

As per the given definition, the expression -b³c is the polynomial.

Here we have the expression  -b³c the highest power value for this polynomial is 3.

Therefore, the degree of this polynomial is 3 and the type of the is cubic polynomial.

Because we have identify the type based on the degree value here the value of degree is 3 so the type of the polynomial is cubic one.

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Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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Answer: 2 c squared d + d c + 6 c squared d squared

Step-by-step explanation:   I looked it up

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

Answer:

12/37

Cos D = 12/37

The probability that the largest number drawn is less than or equal to 9 is approximately 0.9936.

(a) The probability that 9 is the largest number drawn is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or (9 choose 5) / (14 choose 5).

(b) The probability that the largest number drawn is less than or equal to 9 is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or the sum of (i) (9 choose 5) / (14 choose 5) and (ii) (8 choose 5) / (14 choose 5) and (iii) ... (5 choose 5) / (14 choose 5).

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Answer:

Area = 1,344 cm²

Step-by-step explanation:

First, find the value of x and the numerical side length of all sides of the triangle before finding the area.

Thus:

Perimeter of a triangle = sum of all its side

Therefore,

(6x - 44) + (2x - 20) + (3x + 24) = 224

Solve for x

6x - 44 + 2x - 20 + 3x + 24 = 224

Add like terms

11x - 40 = 224

Add 40 to both sides

11x = 224 + 40

11x = 264

Divide both sides by 11

x = 24

Find the measurement of each side length by plugging in the value of x:

Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm

Height = 2x - 20 = 2(24) - 20 = 28 cm

Base = 3x + 24 = 3(24) + 24 = 96 cm

Find the area:

Area = ½×base×height

Plug in the values

= ½×96×28

Area = 1,344 cm²

Carl is correct the value of x by using the side splitter theorem is 6

\(\frac{6}{3} = \frac{12}{x}\)

Required

Is Carl correct?

The side splitter theorem is a theorem that states that when a line passes through the two sides of a triangle and is parallel to the third remaining side, the line divides the two sides proportionally.

Using the side splitter theorem, the proportion is:

\(\frac{AB}{BC} = \frac{AE}{ED}\\\)

This gives:

\(\frac{6}{3} = \frac{12}{x}\)

This proportion is equivalent to Carl's.

Hence, Carl is correct.

Solving further: Cross Multiply

6 * x = 12 * 3

6x = 36

Make x the subject

\(x=\frac{36}{6}\)

x =6

Carl is correct the value of x by using the side splitter theorem is 6

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Answer: About 31%

Step-by-step explanation:

1. Divide 114 to 361

Simple Random sampling  as each student is getting equal opportunity to get selected.

Describe random sampling.

A selection of participants from a community are chosen at random by the investigator using simple random sampling, a sort of sampling techniques. Every individual in the population has the same chance of being chosen. Then, information is gathered from as much of this randomly selected subgroup as possible.

Which four forms of random sampling are there?

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are the four main random (probability) sampling techniques.

What benefit may simple random sampling provide?

The benefits of a simple random sample include its simplicity and accuracy of depiction. Simple random sampling is the easiest way to select a study sample from a bigger population.

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Given:

The endpoints of line segment CD are C(-4,7) and D(0,-3).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

Using the midpoint formula, the midpoint of CD is

\(Midpoint=\left(\dfrac{-4+0}{2},\dfrac{7-3}{2}\right)\)

\(Midpoint=\left(\dfrac{-4}{2},\dfrac{4}{2}\right)\)

\(Midpoint=\left(-2,2\right)\)

Therefore, the midpoint of the line segment CD is (-2,2).

a) The approximate value of cos(1/2) using the linear approximation is 0.877.

b) The length of the person's shadow is decreasing at a rate of 1.8 m/s when the person is 3 m from the post.

a) To find the linear approximation to f(x) = cos(2x) at x = π/6, we need to use the formula:

L(x) = f(a) + f'(a) * (x - a)

where a is the point of approximation, in this case a = π/6, and f'(x) is the derivative of f(x).

So, first we calculate the derivative of f(x):

f'(x) = -2sin(2x)

Then, we plug in the values for a, f(a), and f'(a):

L(x) = cos(π/3) + (-2sin(π/3))*(x - π/6)

Simplifying:

L(x) = 1/2 - √3/2 * (x - π/6)

Now, to approximate cos(1/2) using this linear approximation, we plug in x = 1/4 (since π/6 is approximately 0.524, and 1/4 is approximately 0.785, which is closer to 1/2):

L(1/4) = 1/2 - √3/2 * (1/4 - π/6) ≈ 0.877

So, the approximate value of cos(1/2) using the linear approximation is 0.877, to three significant digits.

b) We can use similar triangles to find the relationship between the length of the person's shadow and the distance from the post. Let L be the length of the person's shadow, and let x be the distance from the person to the post. Then, we have:

L/x = 6/2

Simplifying:

L = 3x

Now, we take the derivative of both sides with respect to time t:

dL/dt = 3(dx/dt)

We are given that dx/dt = -0.6 m/s (since the person is walking towards the post), and we want to find dL/dt when x = 3. Plugging in these values:

dL/dt = 3(-0.6) = -1.8 m/s

So, the length of the person's shadow is decreasing at a rate of 1.8 m/s when the person is 3 m from the post.

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The most appropriate choice for sentence correction will be given by: how large a role sea otters played (option C).

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

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Answer:

c. 60

Step-by-step explanation:

in the table :

x = 12 , y = 12×25=300

on the graph :

x= 12 , y = 12×30=360

so, the difference is 360-300 = 60

In table

Rate of change

Whne x=12

In graph

Rate of change

When x=12

y=12(30)=360

Difference

Step-by-step explanation:

See figure below .....

 Start with the graph of |x|   (red)  ---this graph is decreasing from - inf to 0

    now shift it RIGHT by '1'  and multiply it by 4   and shift it up by '2'

      this is the blue graph  .....  decreasing from - inf to '1'

          (-inf, 1]

Answer:

Step-by-step explanation:

Given that the arrival time of the redline bus= 12minutes

arrival rate = 1/12 arrival per minutes

arrival time of the blueline bus= 10minutes

arrival rate = 1/10 arrival per minutes

the combined arrival rate is given by the expression

let redline be A

and blueline be B

and let the combines arrival rate be x

A+B/(A*B)=1/x

1/12+1/0=1/x

12+10/12*10=1/x

22/120=1/x

x=120/22

x=5.45minutes

Answer:

24 months.

Step-by-step explanation:

168 sellouts.

7 times per month.

So to find the amount of months, all we have to do is divide the sellouts by the times per month.

168/7=24.

24 months.

Answer:

um.. I would say .......

Answer: i think its -1 im not sure tho

Step-by-step explanation:

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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(a) The deposit function B(t) is given by B(t) = 2500 + (t-1) * 200, and its derivative is B'(t) = 200.

(b) The Initial Value Problem (IVP) that models the problem is B'(t) = 0.04 * B(t), B(0) = 20000.

(c) The solution to the IVP is B(t) = 20000 *\(e^(^0^.^0^4^t^)\).

(d) It will take approximately 6.95 years to reach $50,000 in the account.

(a) The deposit function B(t) is determined by the initial deposit of $20,000 and the yearly deposits that increase by $200 each year. The derivative B'(t) represents the rate at which the account balance is changing over time, which is a constant value of 200.

(b) The IVP sets up the relationship between the rate of change of the deposit function, represented by B'(t), and the deposit function itself, B(t). The initial condition B(0) = 20000 specifies the starting balance of $20,000.

(c) Solving the IVP involves integrating the rate of change equation B'(t) = 0.04 * B(t). The solution is found to be B(t) = 20000 * \(e^(^0^.^0^4^t^)\), where e is the base of the natural logarithm.

(d) To estimate the time it will take for the account balance to reach $50,000, we can set B(t) = 50000 in the solution equation B(t) = 20000 * \(e^(^0^.^0^4^t^)\) and solve for t. Using logarithmic properties, we find t ≈ 6.95 years as the approximate time it will take to reach $50,000.

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139

because you do 5 dollars times 11 cats equals 55 and 12 dollars times 7 dogs equals 84 add it together is 139

Answer:

um that would be 1/15 because you cant simplify  anything like

Step-by-step explanation:

1/3 1/2 1/4 1/5 1/6 1/7 and so on

Step-by-step explanation: the answer is 1\15 you cant simplify anymore then that.

1.  Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ,  V(x) = 1275(1-0.165)ˣ

An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.

In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.

The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.

1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.

2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.

3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.

Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.

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