Which equation does the graph below represent?
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The expected value of a random variable x cannot be referred to or denoted as as a specific term or symbol.

Typically denoted as E[X] or μ, the expected value signifies the average or mean value we can expect to obtain from repeated sampling of the random variable.

The expected value of a random variable captures the central tendency or average behavior of the variable. It is derived by summing the products of each potential value of the random variable and its corresponding probability. This mathematical computation provides a measure of the typical outcome or the anticipated value that would arise from multiple iterations of the random experiment or observation.

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Answer:

C

Step-by-step explanation:

if the hypotenuse and leg of one right triangle are

use and leg of another right triangle, then the two triangles are congruent.

The data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance, concluded with the help of a one-sample t-test.

To test whether the current ozone level is significantly different from the normal level of 5.5 ppm, we can use a one-sample t-test.

The null hypothesis is that the mean ozone level is equal to 5.5 ppm:

H0: mu = 5.5

The alternative theory is that the average ozone level exceeds 5.5 ppm:

Ha: mu > 5.5

The significance threshold will be set at 0.05.

t = (x - mu) / (s / sqrt(n)) is the test statistic for a one-sample t-test.

where x is the sample mean, is the hypothesized population mean, s represents the sample standard deviation, and n represents the sample size.

When we substitute the provided values, we get:

t = (6.0 - 5.5) / (0.9 / sqrt(13)) = 1.936

Using a t-table with 12 degrees of freedom (n-1=13-1=12) and a significance level of 0.05, the critical value is 1.782. Since our calculated t-value (1.936) is greater than the critical value (1.782), we reject the null hypothesis.

Therefore, we can conclude that the data support the researcher's claim that the current ozone level is not at a normal level, at the 0.05 level of significance.

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Answer:

My answer would be either 8 to 18 or 4 to 9 probability.

Step-by-step explanation:

The value of -175-15- (-204) is 14

We learn to add and subtract two or more integers or any other mathematical values using the two basic arithmetic operations of addition and subtraction. The plus sign (+) stands for addition, whereas the negative sign (-) stands for subtraction (minus sign). The opposite of addition is subtraction and vice versa.

The following are rules for addition and subtraction:

=>  \(+ \times + = +\)

=>  \(- \times - = +\)

=>  \(+ \times - = -\)

=>  \(- \times + = -\)  

Here we have

-175-15- (-204)

=> - 175 - 15 + 204

=>  - 190 + 204

=>  14

Therefore,

The value of -175-15- (-204) is 14

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Answer:

A = (π/4)(6²) = 9π units²

Answer:

A: \(f(x)\leq -2\)

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is \(f(x)\leq -2\)

In this study, weight loss would be the dependent variable, as it is being measured or observed as a result of the change in the independent variable, which is the calorie intake (1,300 calories/day).

The independent variable is the factor that is being manipulated or changed in the study, and the dependent variable is the factor that is being measured or observed as a result of that change.

Put simply, an independent variable is just what it sounds like it is. It's a separate factor that can't be affected by the others. One independent variable could be a person's age.

In research, the independent variable might be either (1) quantitative or (2) qualitative. Variables with numeric or scalar ranges are called quantitative. They can be thought of as numerical variables that provide answers to "how many?" or "how often?"

The three primary categories of research variables are the independent variable, the dependent variable, and the controlled variables. Take the case of an automobile driving along a variety of terrains.

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Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

No. of pages read on day of planning are represented by vertical intercept.

The difference between vertical intercept of original plan and line drawn by Lin is 10 unit.

The slope intercept form equation for a straight line with a slope, 'm', and 'c' as the y-intercept can be given as:

y = mx + c.

Given,

No. of pages Lin read on day of planning = 30

No. of pages she plans to read everyday = 40

If total pages are y for x days then,

y = 40x + 30

which is the original plan of Lin.

comparing it with slope-intercept form of line

y = mx + c

slope m = 40

vertical intercept of original plan c = 30 unit

slope m represents the no. of pages read everyday.

vertical intercept represents the no. of pages read on day of planning.

vertical intercept c' of line drawn by Lin = 40 unit

Comparing intercept of original plan to line drawn by Lin

= |c - c'|

= |30 - 40|

= 10 unit

Hence, the vertical intercept represents the no. of pages read on day of planning.

There is 10 unit difference between vertical intercept of original plan and line drawn by Lin.

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These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.

A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).

Otherwise, we can simulate the relationship using an exponential model.

An exponential model is:When the rate of increase representing the relationship between the year and stock price is proportional or constant, we utilize the exponential model.

By determining whether the ratio of the dependent values is the same, one can choose to describe the connection as an exponential equation.

As a result, even though the time and price scatterplot is curved, a linear model is adequate.

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It represents the level of output at which planned spending (I + C + G) equals total income.

The IS curve is the intersection of the investment and saving curve. The investment curve is a downward sloping curve, while the saving curve is upward sloping. It can be obtained by equating total income with total output and deriving the relationship between interest rates and GDP.

It represents the combinations of interest rates and output where the market for goods and services is in equilibrium. The equation for the IS curve can be given as:Y = C(Y-T) + I(r) + G

Where, C(Y-T) is consumption I(r) is investment Y is output G is government spending T is taxes r is the interest rateGiven,C0 = 300T = 400G = 400I0 = 300c1 = 0.4b = 1

We can calculate the IS curve as follows: Y = C(Y-T) + I(r) + G

⇒ Y = C0 + c1 (Y-T) + I0 + bY - br + G

⇒ Y - c1Y + br = C0 - c1T + I0 + G

⇒ (1-c1) Y = C0 - c1T + I0 + G - br

⇒ Y = 1/(1-c1) * (C0 - c1T + I0 + G - br)

Substituting the given values, we get, Y = 1/(1-0.4) * (300 - 0.4*400 + 300 + 400 - 1r)

⇒ Y = 1/0.6 * (600 - r)

⇒ Y = 1000 - 1.67r

Therefore, the IS curve equation is given by Y = 1000 - 1.67r. It shows the combinations of interest rates and output levels at which the goods market is in equilibrium.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

(-4,8)

Step-by-step explanation:

(-1, 2) => (x, y)

is translated 6 units up => 2+6 = 8

3 units left => -1-3 = -4

the coordinates of A′ => (-4, 8)

would appreciate brainliest!

The value of  Fourier coefficient Coy is -4 * 0 = 0 after using signal propertry .

Given periodic signal is a(t) with period To = 2 and Co = 3.

The transformation of x(t) gives y(t) where:y(t)=-4x(t-2)-2 Find the Fourier coefficient Coy.

The Fourier series expansion of the signal y(t) is given by:-

\($$y(t)=\sum_{n=-\infty}^{\infty} C_{n} e^{j n \omega_{0} t}$$\) (1)where Cn is the Fourier coefficient.

ω0 is the fundamental angular frequency of the periodic signal and is given by:

\($$\omega_{0}=\frac{2 \pi}{T_{0}}$$\)

Here, the fundamental period T0 is given as 2 seconds, so the fundamental angular frequency ω0 is:

\($$\omega_{0}=\frac{2 \pi}{2}= \pi$$\)

The Fourier series coefficients can be obtained by multiplying both sides of Eq. (1) by e−j n ω0 t and integrating over one period of the signal.

The Fourier coefficients of the periodic signal a(t) are given as:

\($$C_{n}=\frac{1}{T_{0}} \int_{-T_{0} / 2}^{T_{0} / 2} a(t) e^{-j n \omega_{0} t} d t$$(2)\)

Given that y(t)=-4x(t-2)-2,

we can write:

\($$y(t)=-4x(t-2)-2$$$$= -4 \sum_{n=-\infty}^{\infty} C_{n} e^{j n \omega_{0}(t-2)} -2$$$$= -4 \sum_{n=-\infty}^{\infty} C_{n} e^{j n \omega_{0} t} e^{-j 2n \pi} -2$$\)

Comparing the above equation with Eq. (1), we have:

\($$C_{n}=-4e^{-j 2n \pi}= -4(cos(2n \pi) - j sin(2n \pi))=-4$$\)

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Because of this, we need to choose 16 integers in such a way that we can ensure that when they are divided by 15, at least two of them will provide the same residual.

This is further explained below.

Generally,  If you divide a number by 15, the result is a fraction. There are 15 remainders that might occur, and they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.

That is to say, if we choose one number and divide it by 15, there is a chance that the remainder may be any of the 15 (0 reminders 14). Therefore, if we choose 15 numbers, we will have the opportunity to pick 15 unique reminders, ranging from 0 to 14.

In conclusion, if we select one more integer, that is we pick 16 integers, then at least two of them would have the same reminder since there are only 15 reminders and 16>15, and by the pigeonhole principle.

Because of this, we need to choose 16 numbers such that we can guarantee that at least two of them will provide the same remainder when they are divided by 15.

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Answer:

Oxygen,carbon ,chlorine

The correct order of chlorine, oxygen, and carbon from greatest to least according to ionic radius is carbon, chlorine, and oxygen.

The distance between an ion's nucleus and its outermost shell is referred to as the ionic radius. A cation will have an atomic size that is smaller than its parent atom. The size of an anion is generally greater than that of its parent atom.

Atomic refers to the separation from the nucleus. As you move around the periodic table, the atomic radius drops and increases from top to bottom. The ionic radius is the separation from the main atom.

Across the periodic table, the ionic radius lowers and increases from top to bottom. While close to the atomic radius, the ionic radius is distinct from it because the ionic size depends on the distribution of its outermost electrons and is inversely proportional to

Therefore, the correct order of ionic radius is carbon, chlorine, and oxygen.

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According to the expression, the code will evaluate to false if x is greater than or equal to y, regardless of what the unknown code may be.

The statement "if (x < y & /unknown code/)" will evaluate to false regardless of the unknown code if the value of x is greater than or equal to y.

This code checks if the value of x is less than y. If it is, it will then evaluate the unknown code.

If both the value of x being less than y and the unknown code evaluate to true, the overall expression will be true and the code inside the if statement will be executed.

If either the value of x being less than y or the unknown code evaluates to false, the overall expression will be false and the code inside the if statement will not be executed.

It's important to note that the "&" symbol represents a logical AND operation, meaning that both conditions must be true for the overall expression to be true.

So, even if the unknown code evaluates to true, if the value of x is greater than or equal to y, the expression will still be false.

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a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

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ANSWER:

STEP-BY-STEP EXPLANATION:

Answer :

By using EDL

a=bq+r

where a is > b

so a =867 and b=255

867=255×3+102

here r≠0 so a=255 and b=102

255=102×2+51

here r≠0 so a=102 and b=51

102=51×2+0

here r=0

so, Hcf of (867,255) is =51

Step-by-step explanation:

Hope it works out!!

Answer:

\(51\)

Step-by-step explanation:

\(a=bq+r\)

Where \(a > b\)

\(867=255 \times 3+102\)

\(255=102 \times 2+51\)

\(102=51 \times 2+0\)

Hcf of 867,255 is 51

Answer:

x=6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If the ratio of the length of the chalkboard to the width is 4:3, this means that the length of this one is 7* 4/3=28/3. This can be rewritten as approximately 9.33 inches, or answer choice B. Hope this helps!

Answer:

- 18\(\sqrt{10}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(6\(\sqrt{2}\) )(- 3\(\sqrt{5}\) )

= 6 × - 3 × \(\sqrt{2}\) × \(\sqrt{5}\)

= - 18 × \(\sqrt{10}\)

= - 18\(\sqrt{10}\)

We can solve this problem by using proportions.  20/16 = x/10 =>  x = 12.5  Therefore, the height of the maple tree is approximately 12.5 feet, to the nearest tenth of a foot.

what is   proportions ?

proportions are statements that two ratios or fractions are equal. A ratio is a comparison of two quantities, typically expressed as the quotient of one quantity divided by the other. For example, if we have 5 apples and 3 oranges, the ratio of apples to oranges is 5/3.

what is  height  ?

Height typically refers to the measurement of how tall or high something is, usually from its base to its top. In geometry, height is often used to refer to the perpendicular distance

In the given question ,

Let x be the height of the maple tree in feet. Then we have:

(height of statue) / (length of statue's shadow) = (height of maple tree) / (length of maple tree's shadow)

Substituting the given values, we get:

20/16 = x/10

on solving  this equation, we can cross-multiply to get:

16x = 200    =>      x = 12.5

Therefore, the height of the maple tree is approximately 12.5 feet, to the nearest tenth of a foot.

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The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:

the answer is 3rd one I think

Answer:

Greater than -8

Step-by-step explanation:

The reason why is:

1: The circle isn't filled

2: You are moving closer to the positive numbers and the closer to the positive numbers you are (in this case) the greater the number!

I hope this helps, and have a great day! :D