Which of the following are true statements about the expression 4 - (-4)? Choose 2 answers: A The expression describes the number that is 4 to the left of 4 on the number line. B The expression describes the number that is 4 to the right of 4 on the number line. The expression equals 0. D The expression equals 8.​

The probability of not getting 6 at all is 11/36

The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

Given,

A die is rolled 2 times  

6 was on the first roll, but there was no 6 on the second,

6 came up on the second roll but not the first.

2 sixes

A) It is evident that 1/6 of the time you will roll a six.

B) There is a 5/6 chance of not getting a six on a single roll.

1/6x5/6 + 5/6x1/6 + 1/6x1/6

= 5/36 + 5/36 + 1/36

= 11/36

The probability of not getting 6 at all is 11/36

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In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).

To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:

The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).

The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).

Therefore, the minimum and maximum numbers of elements in a heap of height h are:

Minimum: 2^h

Maximum: 2^(h+1) - 1

Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.

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The covariance and correlation coefficient of the random variables X and Y are -1/225 and -1

Given joint probability density function as

f(x,y)=\frac{2}{5}(2x+3y),

where 0\leq x\leq 1 and 0\leq y\leq 1

We can find the marginal probability density function of x and y as

f_X(x)=\int_{-\infty}^{\infty}f(x,y)dy

f_X(x)=\int_{0}^{1}\frac{2}{5}(2x+3y)dy

f_X(x)=\frac{2}{5}(2x+3\frac{1}{2})

f_X(x)=\frac{4}{5}x+\frac{3}{5}

Similarly,

f_Y(y)=\int_{-\infty}^{\infty}f(x,y)dx

f_Y(y)=\int_{0}^{1}\frac{2}{5}(2x+3y)dx

f_Y(y)=\frac{3}{5}y+\frac{4}{5}

Using marginal probability distribution, we can find mean and variance as

\mu_X=E(X)=\int_{-\infty}^{\infty}x f_X(x)dx

\mu_X=\int_{0}^{1}x\bigg(\frac{4}{5}x+\frac{3}{5}\bigg)dx

\mu_X=\frac{7}{15}

\mu_Y=E(Y)=\int_{-\infty}^{\infty}y f_Y(y)dy

\mu_Y=\int_{0}^{1}y\bigg(\frac{3}{5}y+\frac{4}{5}\bigg)dy

\mu_Y=\frac{7}{15}

\sigma_X^2=Var(X)=\int_{-\infty}^{\infty}(x-\mu_X)^2 f_X(x)dx

\sigma_X^2=\int_{0}^{1}(x-\frac{7}{15})^2\bigg(\frac{4}{5}x+\frac{3}{5}\bigg)dx

\sigma_X^2=\frac{1}{225}

\sigma_Y^2=Var(Y)=\int_{-\infty}^{\infty}(y-\mu_Y)^2 f_Y(y)dy

\sigma_Y^2=\int_{0}^{1}(y-\frac{7}{15})^2\bigg(\frac{3}{5}y+\frac{4}{5}\bigg)dy

\sigma_Y^2=\frac{1}{225}

The covariance between x and y is given by

Cov(X,Y)=E(XY)-\mu_X\mu_Y

E(XY)=\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}xyf(x,y)dxdy

E(XY)=\int_{0}^{1}\int_{0}^{1}xy\frac{2}{5}(2x+3y)dydx

E(XY)=\frac{1}{2}

Cov(X,Y)=\frac{1}{2}-\frac{7}{15}\times\frac{7}{15}

Cov(X,Y)=-\frac{1}{225}

The correlation coefficient between X and Y is given by

\rho=\frac{Cov(X,Y)}{\sqrt{Var(X)Var(Y)}}=\frac{-1/225}{\sqrt{1/225\times1/225}}

\rho=-1

The covariance and correlation coefficient of the random variables X and Y are -1/225 and -1, respectively.

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Answer:

  +4.5 feet

Step-by-step explanation:

The change in level is computed by subtracting the beginning level from the ending level.

  change = ending - beginning

  change = (6 ft) - (1.5 ft)

  change = 4.5 ft

The change in level from 7 pm to 8 am was +4.5 feet.

Answer:

5

Step-by-step explanation:

The largest exponent is the degree of the polynomial. Therefore, the degree is 5.

Answer:

Degree is 5

Step-by-step explanation:

In a monomial (meaning one term), its degree is equal to the sum of its exponents. Therefore, the degree of the monomial is 5 since 3+2=5

Answer:

A) The number of wallpapers needed to cover the walls is 6 double roll wall papers

B) The number of wall paper border rolls needed is 3 rolls

Step-by-step explanation:

A) The given parameters are;

The dimensions of the room are 9 ft. by 12 ft. by 8 ft. high,

The area one double role wallpaper covers = 60 ft.²

Therefore, we have;

The area of the room wall = 12 × 8 × 2 + 9 × 8 × 2 = 336 ft²

The number of double rolls of wallpaper to be used = Area of wall/(area of wallpaper) = 336/60 = 5.6

Therefore, given that the wall papers are sold in single units, we round up to the next whole number of units to get;

The number of wallpapers needed to cover the walls = 6 double roll wall papers

B) The borders of a wallpaper are installed parallel (and installed along) to the ceiling line

Therefore, the amount of wallpaper border required is given as follows;

Wall paper border length required = 2 × Length of the room + 2 × Width of the room

∴ Wall paper border length required = 2 × 9 ft. + 2 × 12 ft. = 42 ft.

The size of each wall paper border sold = 5 yd. = 15 ft.

Therefore;

The number of wall paper border rolls required = 42 ft./(5 yd.) = 42 ft./(15 ft.) = 2.8 rolls

Therefore, we round up to get the number of wall paper border rolls needed as 3 rolls of wall paper borders.

The average salary for accountants in Poland is $617.00.

To find the average salary for accountants in Poland, we can use the formula for a z-score and the given information. The formula for a z-score is:

z = (x - μ) / σ

where x is the value of the accountant's salary ($925.40), μ is the mean salary, σ is the standard deviation of the salary ($154.20), and z is the z-score (2.00).

Rearranging the formula, we can solve for the mean salary:

μ = x - zσ

Plugging in the given values, we get:

μ = $925.40 - (2.00)($154.20)

μ = $925.40 - $308.40

μ = $617.00

So, the average salary for accountants in Poland is $617.00.

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Answer:

-5/4

Step-by-step explanation:

(-2,5) (2,0)

0 - 5 / 2 - (-2)

-5 / 2- (-2)

-5 / 2 + (+2)

-5/4

Step-by-step explanation:

Hello!

Point-slope form is this: y - y_{1} = m(x - x_{1})y−y

1

=m(x−x

1

) . In this form, m is the slope, x_{1}x

1

and y_{1}y

1

is an ordered pair, or point.

To find the slope, we need to use the slope formula. The slope formula is: \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

x

2

−x

1

y

2

−y

1

. We can assign the point (-9, 6) to x_{1}x

1

and y_{1}y

1

and (-7, -8) to x_{2}x

2

and y_{2}y

2

.

Now, we can substitute the ordered pairs into the formula and solve.

m = \frac{-8 - 6}{-7 - (-9)} = \frac{-14}{2} = -7m=

−7−(−9)

−8−6

=

2

−14

=−7

Since the slope is equal to -7, we can substitute the slope and a point into the point-slope form.

Therefore, your point-slope formula is y - 6 + -7(x + 9) or y + 8 = -7(x + 7).

Answer:

True

Step-by-step explanation:

The absolute value of a number is its distance from zero on the number line. The distance of 9 from 0 is 9.

Answer:

no

Step-by-step explanation:

condition to be a function is that for one x value, only one f(x) can be obtained

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

\(\mathbf{QR : QS = PR :PT}\)

So, we have:

\(\mathbf{3 : 8 = 6 :PT}\)

Multiply 3 : 8 by 2

\(\mathbf{6 : 16 = 6 :PT}\)

By comparing the ratios, we have:

\(\mathbf{PT = 16}\)

So, the perimeter of triangle PRT is calculated using:

\(\mathbf{Perimeter = PR + RT + PT}\)

Substitute values for PR, RT and PT

\(\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}\)

Add up the figures

\(\mathbf{Perimeter = 36}\)

Hence, the perimeter of triangle PRT is 36 meters

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If x = x1(t) and y = y1(t) and x = x2(t) and y = y2(t) are any two solutions of the linear nonhomogeneous system given by x' = p11(t)x + p12(t)y + g1(t), y' = p21(t)x + p22(t)y + g2(t), then x = x1(t) - x2(t) and y = y1(t) - y2(t) is a solution of the corresponding homogeneous system given by x' = p11(t)x + p12(t)y, y' = p21(t)x + p22(t)y.

To show that x = x1(t) - x2(t) and y = y1(t) - y2(t) is a solution of the corresponding homogeneous system, we need to verify that it satisfies the differential equations x' = p11(t)x + p12(t)y and y' = p21(t)x + p22(t)y with g1(t) = g2(t) = 0. Using the properties of derivatives, we can calculate that x' = x1'(t) - x2'(t) and y' = y1'(t) - y2'(t). Substituting these expressions and the expressions for x and y into the differential equations, we get:

x' = p11(t)x + p12(t)y

==> x1'(t) - x2'(t) = p11(t)(x1(t) - x2(t)) + p12(t)(y1(t) - y2(t))

==> p11(t)x1(t) + p12(t)y1(t) = p11(t)x2(t) + p12(t)y2(t)

y' = p21(t)x + p22(t)y

==> y1'(t) - y2'(t) = p21(t)(x1(t) - x2(t)) + p22(t)(y1(t) - y2(t))

==> p21(t)x1(t) + p22(t)y1(t) = p21(t)x2(t) + p22(t)y2(t)

Since x1(t), y1(t), x2(t), and y2(t) all satisfy the original nonhomogeneous system, we know that the expressions on the right-hand sides of the above equations are equal to g1(t) and g2(t), which are both zero in the corresponding homogeneous system. Therefore, x = x1(t) - x2(t) and y = y1(t) - y2(t) satisfy the differential equations x' = p11(t)x + p12(t)y and y' = p21(t)x + p22(t)y with g1(t) = g2(t) = 0, and hence they are a solution of the corresponding homogeneous system.

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Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

The graph of the defined piece-wise function is sketched at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In the context of this problem, the function has three definitions, as follows:

For the first definition, to the left of x = -3, the function assumes a constant value of 3, hence it is an horizontal line at y = 3.

For the second definition, between x = -3 and x = 4, the function is a increasing linear function, with intercept 1 and slope 2, due to the rule y = 2x + 1.

For the third definition, to the right of x = 4, the function assumes a constant value of -2, hence it is an horizontal line at y = -2.

With each of these definitions, the graph of the function is given at the end of the answer.

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Answer: Yes

Step-by-step explanation:

15:12 divided by 3 = 5:4

when you simply the two fractions they are equivalent to one another.

Answer:

a) centre angles are double the circumference

b) 60 degrees

c) 120 degrees

Step-by-step explanation:

for c) the opposite angles in a cyclic quadraleteral add to 180 so take 60 from 180 to get 120

The proper way to report the groups' mean and standard deviation of independent sample t test is  

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

The APA style guide provides detailed instructions for referencing statistical test results, so in addition to following the basic format correctly, you must pay attention to details like punctuation, bracket placement, italicization, and other formatting elements.

Given, that the independent samples t test is conducted, where we have two groups.

Group 1- mean= 11.6 and SD=3.1

Group 2- mean=19 and SD=2.9

We have to write the values in the APA format for a report.

The APA formatting to represent the mean and SD of two groups is as follows, Mean and standard deviation are denoted by the letters M and SD, respectively.

Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).

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Answer:

-30x^17

Step-by-step explanation:

if multiply

Answer:

-60x^16

Step-by-step explanation:

You're welcome lol

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

It's option 2

Step-by-step explanation:

parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2

Answer:

Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.

The game Pip is played by taking turns counting numbers, with the player saying one number each time. Whenever the number being said is either divisible by 7 or contains the digit 7, the player should say "Pip!" instead and then change the order of the game. Pip is a very simple game that can be played by two or more players.

It is similar to other counting games like Fizz Buzz and Bizz Buzz. The game begins with a player saying "1" and then the next player saying "2," and so on. When a number that is either divisible by 7 or has the digit 7 is reached, the player should say "Pip!" instead of the number. After saying "Pip!", the player should reverse the order of the game, making the next player the one to say the next number instead of the player who would have done so otherwise.

For example, when the count reaches 7, the player would say "Pip!" instead of the number "7" and then change the order so that the next player has to say the next number. If the count reaches 14, the player should say "Pip!" instead of "14" and then reverse the order of the game. The next player would then say "13," followed by the previous player saying "12," and so on until the count reaches "8."The game can continue until a predetermined number, such as 100, is reached.

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Answer:

$6.75 Per pound

Step-by-step explanation:

2.25 = 1/3

2.25 + 2.25 = 2/3

2.25 + 2.25 + 2.25 = 6.75 / 3/3

If there are implicit costs of production, economic profit will be lower than accounting profit.

Implicit costs refer to the opportunity costs of using resources in a particular production process. These costs are not explicitly recorded in accounting statements but represent the value of alternative uses of resources. When implicit costs exist, economic profit will be lower than accounting profit. Accounting profit is calculated by subtracting only explicit costs, such as wages, rent, and materials, from total revenue.

On the other hand, economic profit takes into account both explicit and implicit costs. Implicit costs represent the foregone opportunities or benefits that could have been obtained if resources were used in alternative ways. Since accounting profit does not consider these opportunity costs, it is generally higher than economic profit. Economic profit reflects the true economic performance of a business by considering all costs, both explicit and implicit.

Therefore, if there are implicit costs of production, economic profit will be lower than accounting profit.

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A: accounting profit will exceed economic profit.

Implicit costs of production refer to the opportunity cost of using resources that a firm already owns rather than selling them in the market. These costs are not reflected in accounting records but are included in economic analysis. Accounting profit is calculated by subtracting only explicit costs from total revenue, while economic profit is calculated by subtracting both explicit and implicit costs from total revenue. Since accounting profit does not include implicit costs, it will always be higher than economic profit. In some cases, economic profit may even be negative, indicating that a firm is better off not producing anything at all. Thus, option A is the correct answer. Option B is incorrect because economic profit can be positive or negative. Option C is incorrect because economic profit is always lower than accounting profit. Option D is incorrect because accounting profit can be positive or negative. Option E is incorrect because economic profit and accounting profit are not always equal.

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Answer:

16 units

Step-by-step explanation:

Just do the y of J minus the y of M. Multiply by 2 to get both widths together. Then do the x of K minus the x of J. Multiply by 2 to get both lengths together. Add both the answers up. Your final answer should be 16.

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation\(2^3\) = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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