Write a subtraction sentence where the difference is positive use a positive and a negative interference

To determine the number of possibilities for the articles of clothing that Peg can choose to pack, we need to consider the different combinations.

Since Peg plans to take 3 shirts and 2 pairs of pants, we will focus on the shirts first. There are 3 shirts in total, so we can break down the possibilities based on the number of long sleeve shirts she chooses to pack.

Case 1: Peg packs 1 long sleeve shirt and 2 short sleeve shirts.

In this case, there are 2 ways to choose the long sleeve shirt (as there are 2 long sleeve shirts available), and 2 ways to choose each of the short sleeve shirts (as there are 2 short sleeve shirts available).

So, for Case 1, there are 2 options for the long sleeve shirt and 2 options for each of the short sleeve shirts. Therefore, the total number of possibilities for Case 1 is 2 * 2 * 2 = 8.

Case 2: Peg packs 2 long sleeve shirts and 1 short sleeve shirt.

Similarly, in this case, there are 2 ways to choose the short sleeve shirt and 2 ways to choose each of the long sleeve shirts.

Thus, for Case 2, there are 2 options for the short sleeve shirt and 2 options for each of the long sleeve shirts. Therefore, the total number of possibilities for Case 2 is 2 * 2 * 2 = 8.

Case 3: Peg packs all 3 long sleeve shirts.

In this case, there is only one option for each shirt since all the shirts are long sleeve shirts.

Therefore, for Case 3, there is 1 option for each of the long sleeve shirts. Hence, the total number of possibilities for Case 3 is 1 * 1 * 1 = 1.

Now, to find the total number of possibilities, we add up the possibilities from each case:

Total number of possibilities = Case 1 + Case 2 + Case 3

Total number of possibilities = 8 + 8 + 1

Total number of possibilities = 17

Therefore, there are 17 possibilities for the articles of clothing Peg can choose to pack, given that she wants at least one long sleeve shirt.\

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False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.

The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.

Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.

The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.

By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.

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The equation for each line passing through the point (-3, -2) and slope = 4/3 is  y =  \(\frac{4}{3} x\) + 2 .

          y - y₁ = m(x - x₁)

So,the equation for the line through: (-3, -2), slope = 4/3 is,

⇒ y - (-2) = \(\frac{4}{3}\) (x - (-3))

Multiplying by 3 on both sides of the equation,

⇒ 3y + 6 = 4x + 12

⇒ 3y = 4x + 6

Dividing by 3 on both sides of the equation,

⇒ y =  \(\frac{4}{3} x\) + 2

Hence, the equation of the line is y =  \(\frac{4}{3} x\) + 2.

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56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The answer is given as follows : The simplified expression for g(z+5) is -5z - 25. To find g(z+5), we substitute (z+5) into the function rule g(z) = -5z.

g(z+5) = -5(z+5). Now, we can simplify the expression by distributing the -5 to both terms inside the parentheses: g(z+5) = -5z - 5(5). Simplifying further: g(z+5) = -5z - 25. Therefore, the simplified expression for g(z+5) is -5z - 25.

In the given function rule g(x+3), there seems to be a typo or a missing part of the equation. If you provide the correct function rule for g(x+3), I can help you further with its simplification.

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Answer:

neither one of them that solves the problem

Using the interquartile range (IQR) method, the value 2 is considered an outlier in the given data.

To determine if there is an outlier in the given data, we need to calculate the lower and upper bounds using the interquartile range (IQR) method.

First, we need to calculate the first quartile (Q1), second quartile (Q2 or median), and third quartile (Q3) of the data.

Arranging the data in ascending order

2, 9, 13, 17, 18, 20, 23, 24, 33, 34, 43, 45, 53, 53

Q1 = 17

Q2 = 24

Q3 = 43

Next, we can calculate the IQR by subtracting Q1 from Q3

IQR = Q3 - Q1 = 43 - 17 = 26

Now we can calculate the lower and upper bounds

Lower bound = Q1 - 1.5 × IQR = 17 - 1.5 × 26 = -8

Upper bound = Q3 + 1.5 × IQR = 43 + 1.5 × 26 = 79

Any values outside the lower and upper bounds are considered outliers.

In this case, we have a value of 2 that is outside the lower bound of -8. Therefore, 2 is considered an outlier in the given data.

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The factor is (w-2)(w-12) and the solution of the expression is  w =2 or 12

Given: 2wto power of 2 minus 16w=12w-48.

This expression can be written as 2w² - 16w = 12w-48

2w² - 16w = 12w-48

2w² - 16w-12w = -48

2w² - 28w + 48 = 0

Divide through by 2:

w² - 14w +  24 = 0

w² - 12w-2w +  24 = 0

Factorize:

(w-2)(w-12) = 0

w-2 = 0 or w-12 = 0

w =2 or 12

Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12

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Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

Answer:

(4 * (1 + 2 * 3))^5

Step-by-step explanation:

Try many possibilites and see which one is greater.

The '5' should be an exponent, as it will make the result very large.

Multiplication is usually an operation that makes numbers very big.

(a) To find the prediction for 2027 if t is the number of years since 1990, we need to substitute t = 37 (since 2027 - 1990 = 37) into the function:

f(37) = 123(1.03)^37 = 258.754

Therefore, the prediction for 2027 is approximately 258.754.

(b) To find the prediction for 2027 if t is the number of years since 1900, we need to add 27 (since 2027 - 1900 = 127) to the value of t:

f(127) = 123(1.03)^127 = 2797.901

Therefore, the prediction for 2027 is approximately 2797.901.

(c) To find the prediction for 2027 if t is the number of years since the year 0, we need to add 2027 to the value of t:

f(2027) = 123(1.03)^2027 = 1.748 x 10^12

Therefore, the prediction for 2027 is approximately 1.748 x 10^12.
(a) To make a prediction for 2027 with t representing the number of years since 1990, first find the value of t:
t = 2027 - 1990 = 37 years

Now, use the exponential growth function:
f(t) = 123(1.03)^t
f(37) = 123(1.03)^37
f(37) ≈ 321.521

So, the prediction for 2027 if t is the number of years since 1990 is approximately 321.521.

(b) To make a prediction for 2027 with t representing the number of years since 1900, first find the value of t:
t = 2027 - 1900 = 127 years

Now, use the exponential growth function:
f(t) = 123(1.03)^t
f(127) = 123(1.03)^127
f(127) ≈ 15,753.238

So, the prediction for 2027 if t is the number of years since 1900 is approximately 15,753.238.

(c) To make a prediction for 2027 with t representing the number of years since the year 0, first find the value of t:
t = 2027 - 0 = 2027 years

Now, use the exponential growth function:
f(t) = 123(1.03)^t
f(2027) = 123(1.03)^2027

The value of f(2027) is very large, so we will use scientific notation:
f(2027) ≈ 9.695 x 10^29

So, the prediction for 2027 if t is the number of years since the year 0 is approximately 9.695 x 10^29.

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If x and y satisfy the system of equations 4x + 5y = 9 and 9x + 1y = 10, then the value of (x + y) is 2.

Given the system of the linear equations are

4x + 5y = 9 ................. (i)

9x + y = 10 ............... (ii)

Now multiplying 5 with equation (ii) we get,

5(9x + y) = 5*10

45x + 5y = 50 ..................... (iii)

Subtracting equation (i) from equation (iii) we get,

(45x + 5y) - (4x + 5y) = 50 - 9

45x + 5y - 4x - 5y = 41

41x = 41

x = 41/41 = 1

Substituting x = 1 in equation (i) we get,

4 * 1 + 5y = 9

4 + 5y = 9

5y = 9 - 4 = 5

y = 5/5 = 1

So the solutions are x = 1 and y = 1.

Hence the value of x + y = 1 + 1 = 2.

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The equation  \(k^2-20k+100=0\) will have exactly one real solution when k=10.

Here, you will find k from the value of the discriminant for the given quadratic equation.

The standard form for a quadratic equation is: \(ax^{2}+bx+x=0\). Where: a, b, and c are your coefficients.

Then, the given equation \((k-5)x^2-kx+5=0\)  is a quadratic equation.  Where:

                                                  \(a=k-5\\ \\ b=-k\\ \\ c=5\)

The number of solutions for a quadratic equation is determined by the discriminant (D) that can be calculated from the expression: \(b^2-4a*c\). When:

                                       \(D=b^2-4a*c\\ \\ D=(-k)^2-4*(k-5)*5\\ \\ D=k^2-20*(k-5)\\ \\ D=k^2-20k+100\)

You should find the value for k for which the given equation has only one real solution. Therefore, D=0. For this, solve the quadratic formula for the equation  \(D=k^2-20k+100=0\) .

                                    \(k_{1,2}=\frac{\(-b\pm \sqrt{(b)^2-4\cdot \:a\cdot \:c}}{2\cdot \:a}\\\ \\ k_{1,2}=\frac{\(20\pm \sqrt{(-20)^2-4\cdot \:1\cdot \:100}}{2\cdot \:1}\\ \\ k_{1,\:2}=\frac{20\pm \sqrt{0}}{2\cdot \:1}\\ \\ k=\frac{20}{2}=10\\\)

Hence, k=10 for the equation  \(k^2-20k+100=0\) has exactly one real solution.

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I agree with the speaker because average 1,440 seconds is the equivalent of 24 hours each day, so it is important to make the most of every day by setting goals and utilizing our time wisely.

I agree with the speaker because 1,440 seconds is the equivalent of 24 hours each day, so it is important to make the most of every day by setting goals and utilizing our time wisely. We have a limited amount of time each day, and it is up to us how we use it. We should strive to make sure every second of every day is spent on something worthwhile, whether it be for our career, hobbies, or spending time with family and friends. Having goals and taking action to achieve them is essential to making the most of our days. Additionally, we should not forget to take breaks and rest when necessary so that we can be productive and feel our best. Making a plan and sticking to it will help us to maximize our 1,440 seconds in a day and make the most of our lives.

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The correct statement is: The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change in a linear function represents how the dependent variable (in this case, height) changes with respect to the independent variable (time). To find the rate of change in this scenario, we can calculate the slope of the line that goes through the given points (2, 3) and (4, 6).

The slope of a line is determined by the change in the y-values divided by the change in the x-values. In this case, the change in y is 6 - 3 = 3 inches, and the change in x is 4 - 2 = 2 years.

Therefore, the rate of change is 3 inches / 2 years = 1.5 inches per year. This means that for every additional year of growth, the plant's height increases by an average of 1.5 inches.

Now, let's analyze the given statements:

1. The rate of change of a linear function is always the same.

  This statement is true. In a linear function, the rate of change (slope) remains constant throughout the entire graph.

2. The rate of change of a linear function always increases as the input increases.

  This statement is not necessarily true. The rate of change can be positive or negative, depending on whether the line slopes upward or downward.

3. The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

  This statement is true. We calculated the rate of change to be 1.5 inches per year.

4. The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

  This statement is not necessarily true. The rate of change may vary depending on the specific section of the graph being considered. However, we only calculated the rate of change between 2 and 4 years, so we cannot determine the rate of change over a larger time frame based on this information.

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Answer:

20

Step-by-step explanation:

Answer:

it shows that the answer is (-2,8(

the brackets are the symbols of inequality

The point (-3,-7) rotated 90 degrees counterclockwise about the origin is (7,-3).

To rotate a point about the origin by 90 degrees counterclockwise, we can use the following transformation matrix:

| 0 -1 |

| 1  0 |

To apply this transformation to the point (-3,-7), we can represent the point as a column vector and multiply it by the transformation matrix:

| 0 -1 |   | -3 |   |  7 |

| 1  0 | * | -7 | = | -3 |

So the rotated point is (7,-3).

Therefore, the point (-3,-7) rotated 90 degrees counterclockwise about the origin is (7,-3).

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(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

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Answer:

7/9

Step-by-step explanation:

total: 3+2+4

starbucks or crazy mocho: 3+4

(3+4)/(3+2+4)=7/9

Answer: No

Step-by-step explanation:

$12-$4.50= $7.50

$7.50*15= $112.50

The Total cost is $135 She will only be making $112.50 in profits.

Answer:

12x - 6

Step-by-step explanation:

\( \rm \: 4 + 5(3x - 2) - 3x\)

\( \rm \: = 4 + 15x - 10 - 3x \: \sf (distribute \: the \: 5)\)

\( \rm= 12x - 6 \: \sf (combine \: like \: terms)\)

\( \rm= 6(2x - 1) \: \sf (factor \: out \: a \: 6)\)

\( \rm \: = 6(2x) - 6(1) \: \sf (distribute \: the \: 6)\)

\( \rm \:= 12x - 6 \: \sf (simplify)\)

Answer:

40 is

But it is not an

Answer:

C. Ry-axis(x, y) = (-x, y)

Step-by-step explanation:

Answer: D. Rx-axis (x, y) = (x, -y)

Step-by-step explanation:

A (-3, 5)  --> A' (-3, -5)

B (2, 8)  --> B' (2, -8)

C (-4, -5)   --> C' (-4, 5)

Hope this helped!

The four levels of measurement in statistics are nominal, ordinal, interval, and ratio.

1. Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

2. Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

3. Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values.Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

4. Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

Nominal: The nominal level of measurement involves categorizing data into distinct categories or groups. In this level, data are simply named or labeled without any quantitative value. Examples include gender (male or female), marital status (single, married, divorced), or types of fruits (apple, orange, banana).

Ordinal: The ordinal level of measurement allows for ranking or ordering of data based on a specific criterion. It indicates relative differences between the values but does not quantify the magnitude of those differences. Examples include survey ratings (strongly agree, agree, neutral, disagree, strongly disagree) or educational levels (elementary, middle school, high school, college, postgraduate).

Interval: The interval level of measurement not only allows for ranking but also quantifies the intervals or differences between values. However, it does not have a true zero point. Examples include temperature measured in Celsius or Fahrenheit, where the intervals between values are equal but zero does not indicate the absence of temperature.

Ratio: The ratio level of measurement possesses all the properties of the interval level but also has a true zero point, which indicates the absence of the measured attribute. It allows for comparisons of magnitude and ratios between values. Examples include height, weight, or income, where zero represents the absence of the attribute and ratios between values are meaningful (e.g., someone twice as tall as another person).

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Answer:

3

Hope it helps you, tell me if im wrong pls, BE SAFE! :D

Answer:

x = 3

AB = 16

Step-by-step explanation:

Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, the AM = MB

AB = 2AM

5x+1 = 2(8)

5x + 1 = 16

x = 16 - 1

5x = 15

x = 15/5

x = 3

Hence the value of x is 3

Since AB = 5x+1

AB = 5(3) + 1

AB = 15 + 1

AB = 16