Draw a pair of intersecting lines that forms a pair of complementary angles. Explain your reasoning.

C) Normal As the degrees of freedom for the numerator and denominator gets large, the sample size increases, the F-distribution approaches the Normal distribution.

What happens when the sample size is increased?

As sample numbers value rise, the diversity of each sampling distribution diminishes, making them more leptokurtic. The sample distribution's range is narrower than the original population's range.

Fisher devised the F-distribution to analyze the behavior of two variances from random samples drawn from two separate normal populations.

Based on the responses of random samples, we may be interested in understanding if the population variances are equal in applicable issues.

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The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

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Answer:

A

Step-by-step explanation:

the answer is A because it is

Answer:

The answer to this problem is x = 3 and y = -2.

Step-by-step explanation:

To solve this problem, we first have to remember how to solve problems using substitution.  We first solve one equation completely in terms of another variable.  In this case, this has already been done for us - the first equation is in the form y = f(x).  Next, we should substitute this "value" or function for y into the other equation.  This process is modeled below:

y = -4x + 10

y = -6x + 16

If we substitute, we get:

-4x + 10 = -6x + 16

Now this is a simple one variable equation that we can solve easily.  First, we should add 6x to both sides, giving us:

2x + 10 = 16

Then, we should subtract 10 from both sides, yielding:

2x = 6

Finally, we can divide both sides by 2 to get:

x = 3

Now, we must plug in this value for x into one of our original equations (it doesn't matter which one we choose) to solve for the other variable, y.

y = -4x + 10

y = -4(3) + 10

y = -12 + 10

y = -2

Therefore, the answer to this problem is x = 3 and y = -2.

Hope this helps!

Answer:

x = 3

y = -2

Step-by-step explanation:

y = -4x + 10       first equation

y = -6x + 16        second equation

from the second equation:

6x = -y + 16

x = (-y + 16) / 6       third equation

substituying the value of the third equation into the first equation:

y = -4(-y+16)/6 + 10

y - 10 = -4(-y+16(/6

6(y-10) = -4(-y+16)

6*y + 6*-10 = -4*-y -4*16

6y - 60 = 4y - 64

6y - 4y = 60 - 64

2y = -4

y = -4/2

y = -2

from the third equation:

x = (-y + 16) / 6

x = (-(-2) + 16) / 6

x = (2+16)/6

x = 18/6

x = 3

Check:

from the first equation:

y = -4x + 10

-2 = -4*3 + 10

-2 = -12 + 10

Answer:

Slope: \(\frac{4}{3}\)

Y-intercept: 2

Equation: \(y=\frac{4}{3}x+2\)

Step-by-step explanation:

The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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Step-by-step explanation:

y-y1=m(x-x1)

y-7=4(x+8)

y-7=4x+32

4x-y=-39

Answer:

y = 4x + 39

Step-by-step explanation:

Let's take another point (x,y) on the line.

Slope (m) = change in y ÷ change in x

∴ m = \(\frac{y - 7}{x - -8} = 4\)

y = 4x + 32 + 7

y = 4x + 39

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = length * width * height

                      3

V = 8 * 6 * 12   =   192 cm^3

           3

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

\(\cos t=\frac{1}{\sec t}\)

So, the equation will be

\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

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40 estudiantes dieron sus discursos en la competencia.

Hola, para responder a tu pregunta "Ayer, 5/8 de los 64 estudiantes en una competencia dieron sus discursos.

Escribir la respuesta en su forma más simple", sigue estos pasos:

Identifica la fracción y el número total de estudiantes.

La fracción es 5/8 y el número total de estudiantes es 64.

Multiplica la fracción por el número total de estudiantes para encontrar la cantidad de estudiantes que dieron

sus discursos.

(5/8) × 64 = (5 × 64) / 8

Resuelve la multiplicación y la división.

5 × 64 = 320

320 / 8 = 40

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After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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Answer:

246 boys like to play outdoors

Step-by-step explanation:

82% = 0.82

0.82 x 300 = 246

Answer:

246 boys like to play outdoors

Step-by-step explanation:

82% = 0.82

0.82 x 300 = 246

Answer: 299

Step-by-step explanation:

Given

Family removes one-third of tress in June as much as they dd in July

They remove twice the number of July in august

Suppose they removed x trees in July

for June it is, \(\frac{x}{3}\)

for August, it is \(2x\)

If they removed less than 1000 tress in 3 months

\(\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300\)

So, maximum number of tress removed in July is 299

Answer:

(x,y) = (—2,—5)

Step-by-step explanation:

I attached a picture

Answer:

Step-by-step explanation:

Potential energy=stored energy so say when the roller coaster stops somewhere they are storing energy.

In then when they just go down there would now be using kinetic energy.

Hope this helps have a great afternoon:)

The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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Answer:

Area of sphere is given by \(4\) · \(\pi\) · \(r^2\)

Step-by-step explanation:

The surface area of sphere is given by:

\(Area\) \(of\) \(sphere\) \(=4\) · \(\pi\) · \(r^2\)

Option C and D are correct but  is missing in the options

Option A and B are incorrect.

\(\pi =3.14\) to solve the area of sphere when radius is given a constant value.

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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If a > b, then |a - b| = a - b if a - b is positive. This means that the distance from a - b to zero on the number line is equal to a - b itself. If a - b is negative, then |a - b| is equal to the opposite of a - b.

The absolute value of a - b is equal to a - b if a - b is positive because the absolute value of a number is the distance from that number to zero on the number line. So, if a is greater than b, then a - b is a positive number. Therefore, the distance from a - b to zero on the number line is equal to a - b.

The absolute value of a number is the distance from that number to zero on the number line. For example, the absolute value of 5 is 5 because the distance from 5 to 0 on the number line is 5 units. The absolute value of -5 is also 5 because the distance from -5 to 0 on the number line is also 5 units.
Now, let's look at the expression |a - b|. This means the absolute value of the difference between a and b. If a is greater than b, then a - b is a positive number. For example, if a = 10 and b = 5, then a - b = 5. So, |a - b| = |10 - 5| = |5| = 5.
However, we are looking for the condition under which |a - b| = a - b. This means that the absolute value of a - b is equal to a - b itself. This only happens when a - b is positive. Let's use the same example as before. If a = 10 and b = 5, then a - b = 5. In this case, a - b is positive, so |a - b| = |10 - 5| = |5| = 5, which is equal to a - b.

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The part of a line that has one endpoint and can be extended infinitely in one direction is called a ray.

A ray is part of a line that starts at an endpoint and continues infinitely in one direction. It can be thought of as a beam of light or a straight path that extends indefinitely.

To visualize a ray, imagine drawing a line with an arrow at one end. The arrow indicates the direction in which the ray extends infinitely. The other end of the line is the endpoint of the ray.

It's important to note that a ray only has one endpoint and extends infinitely in one direction. This means that the other end of the ray doesn't have an endpoint and continues indefinitely.

For example, if we have a line segment AB, we can create a ray by extending it from one of its endpoints, let's say A, in the direction away from B. This would result in a ray that we can call ray AB.

In summary, a ray is part of a line that starts at an endpoint and extends infinitely in one direction. It is often represented by a line segment with an arrow at one end to indicate the direction of extension.

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Answer

The missing value is 4/9

The values of Z and X, considering the normal curve, are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 120, \sigma = 4\)

The p-value is of 0.12, hence the z-score is given as follows:

-1.175.

Then the value of X is obtained as follows:

\(Z = \frac{X - \mu}{\sigma}\)

-1.175 = (X - 120)/4

X - 120 = -1.175 x 4

X = 115.3.

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Answer:

Answer choice three is correct

:) ur welcome!

The experimental probability of tossing tails is 3/10.

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials or experiments conducted.

In this case, Bailey tossed a coin 10 times and observed 3 tails. Therefore, the number of times tails occurred is 3.

The total number of trials or tosses is 10.

To calculate the experimental probability of tossing tails, we divide the number of tails by the total number of tosses:

Experimental probability of tossing tails = Number of tails / Total number of tosses = 3/10

So, the experimental probability of tossing tails is 3/10.

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The algebraic expression for the payment of the plan with y dollar surge is A = x/2 + y.

The concept of algebraic expressions is the use of letters or alphabets to represent numerical values without stating their exact meanings. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.

Given that the annual premium plan is x dollars.

The payment is made semi-annually this is represented as follows:

x/2

There is a surplus charge of y, this is written as:

A = x/2 + y

Hence, the algebraic expression for the payment is A = x/2 + y.

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The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

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If area of cattle's "square-field" is 40000 ft², and Mr. Blackburn is constructing a fence diagonal in the field, then length of cattle field's fence should be 282.84 ft.

The area of the Blackburn's family cattle square-field is 40000 ft²,

So, We First, equate this area with area formula,

On Equating ,We get,

⇒ (side × side) = 40000,,

⇒ side is 200 ft,

Now, we substitute the "side-length" of field as 200 ft, in the formula for diagonal of a square,

we get,

⇒ Length of cattle-field's diagonal is = (side)√2,

⇒ Length of cattle-field's diagonal is = (200)√2,

⇒ Length of cattle-field's diagonal is ≈ 282.84 ft.

Therefore, the length of cattle field's fence is 282.84 ft.

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