In the following figure ABC~XYZ. Based on the
given information find AC.

A) 18cm
B) 14cm
C) 10cm
D) 7cm

Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.

Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.

Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.

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Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

Answer:

Step-by-step explanation:

the answer would be 1 and 2/3

3 goes into 5 one time and you have 2 left

Answer:

D

Step-by-step explanation:

I checked it on desmos and also the shift is 1 up that means subtracting from a larger number

Answer: d

Step-by-step explanation:

Answer:

The answer is

\(y = 3x + 5\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ↶

\(y = mx + b\)

❃Since we already have the slope, we don't need to solve for that.

➊ First: We are going to find the y-intercept.

\(y = mx + b \\ 2 = 3( - 1) + b \\ 2 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: }{5 = b}\)

➋Second: Plug in.

\(y = 3x + 5\)

Answer:

A triangle‘s angles should add up to 180 and the given angles sum up to 130 so x + 58 = 50 so x = -8

Hope this helped and brainliest please

Answer:

-8

Step-by-step explanation:

-8+58=50

50+53+77=180

triangles angles should equal 180

Answer:

x = -3 and x = -2

Step-by-step explanation:

\(\frac{\sqrt{x+3} }{x+3} =1\)

x + 3 = \(\sqrt{x+3}\)

(x+3)² = \(\sqrt{x+3}\)²

x² + 6x + 9 = x + 3

Now we solve for x and get

x = -2, -3

So, the answer is x = -3 and x = -2

1.-

In addition equations, we can solve for a variable by subtracting the same number on both sides of the equation.

This is in order to leave the variable we want to solve for alone on one side of the equation.

2.-

The addition equation we have is:

Using the rule of part 1: subtract the same number on both sides to solve for x.

In this case, we have to subtract 3 to both sides:

On the left side, 3-3 cancel each other and we are left only with x:

And on the right side, 7-3 is equal to 4:

Thus, the use of the number family is:

3 is the number we subtract to both sides.

7 is the number to which we subtract 3.

4 is the result of the subtraction.

Answer:

-18n+20n^2

you just have to distribute

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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it is not possible for det A to equal 3 if the entries of both A and A^-1 are integers.

The determinant of a matrix and its inverse are multiplicative inverses of each other, meaning that det(A)det(A^-1) = 1. If det A = 3, then det(A^-1) = 1/3. However, since the entries of both A and A^-1 are integers, this is a contradiction, as the determinant of a matrix with integer entries must also be an integer. Therefore, it is impossible for det A to equal 3 in this scenario.

it explains the reasoning behind the solution and provides a deeper understanding of the concept of determinants.

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Answer:

kilometer

Step-by-step explanation:

A mile is a unit of distance commonly used in the United States and some other countries, while a kilometer is a unit of distance used in most other countries. Both miles and kilometers are used to measure distances on land, and they are relatively close in value.

1 mile is approximately equal to 1.609 kilometers, which means that a kilometer is the closest unit of measurement to a mile.

In contrast, millimeters, meters, and centimeters are much smaller units of measurement and are typically used to measure smaller distances, such as the length of an object or the distance between two points in a small space. it so ez

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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It is false that a graph is proportional if it has a straight line that goes through the origin.

Given a statement that a  graph is proportional if it has a straight line that goes through the origin.

We are required to find whether the statement is true or false.

A proportional relationship graph between two variables is basically a relationship where the ratio between the two variables is always the same.

The statement that a graph is proportional if it has a straight line that goes through the origin because there can be many graphs which can pass through origin. For proportionality along with passing through origin, a constant rate should also be there.

Hence it is false that a graph is proportional if it has a straight line that goes through the origin.

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Answer:

got n=13

Step-by-step explanation:

I set it up 4n+7=59 because 4 dollars you can get a dvd and when you solve you

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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SOLUTION:

Case: Proportions

Method:

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram

We calculate John's weight in kg

Since

Next, the drug should he receive

Final an

To see the graph, the inequality pairs with  y≤ −2x−1  to complete the system of linear inequalities is

y > -2x + 2.

Given,

In the question:

The inequality is given as:

y ≤ −2x−1

Now, According to the question:

The upper part of the graph must be an inequality that doesn't include the actual boundary line because such is represented with a dotted line instead of a solid one (so the equal sign must NOT be in the inequality).

The boundary line for the upper section has also the same slope as the one given (-2), and we also see that it goes through the value 2 on the y-axis, so such line in slope y-intercept form must be: y = -2x + 2

Since we need to include the (x, y) values on the plane that are "larger than" (y-value above) the boundary line we found, we need to select the "greater than" symbol for the inequality and :

y > -2x + 2.

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The description of the transformation of z on the complex plane that gives the product of and is to scale by a factor of 4, then rotate counterclockwise by /6 radians.

To understand this transformation, let's break it down into its components. Scaling by a factor of 4 means multiplying by 4. This scales the magnitude of by a factor of 4 but does not change its direction. Next, rotating counterclockwise by /6 radians means rotating around the origin by an angle of /6 in the counterclockwise direction. By performing these two transformations in succession, we first scale by a factor of 4, which stretches or compresses it depending on whether it is inside or outside the unit circle, respectively. Then, we rotate counterclockwise by /6 radians, which changes its angle in the counterclockwise direction by /6 radians.

The resulting transformation gives the product of and because scaling and rotation are commutative operations when applied to complex numbers. The order in which the transformations are performed does not affect the result. Therefore, scaling by a factor of 4, then rotating it counterclockwise by /6 radians, will yield the same result as scaling by a factor of 4, then rotating it counterclockwise by /6 radians.

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In conclusion, the calculations below proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

The inscribed angle theorem states that the measure of an inscribed angle whose vertex lies on a circle is half of the intercepted arc subtended at a point on the circle.

Note: The point of concurrency of three altitudes in a triangle is referred to as orthocenter.

In triangle ABC, O is orthocenter. Thus, by applying the inscribed angle theorem to the circle, we have:

∠BOA = 2∠BAC.                ......equation 1.

Assuming H is orthocenter; Thus, the angle formed by angles BAC and BC at H are supplementary angles:

∠BAC + BHC = 180°.

BHC = 180° - ∠BAC.     ......equation 2.

Assuming I is incenter; Thus, the angle formed by BIC is given by:

∠BIC = 90° + ∠A/2.          ......equation 3.

Since points B, C, H, I lie on a single circle and the angles formed in the same side of an arc of a circle are equal, we have:

BIC = BHC                      ......equation 4.

Substituting the parameters into eqn. 4, we have;

180° - ∠BAC = 90° + ∠A/2.

∠BAC + ∠BAC/2 - 3∠BAC/2 = 180° - 90°

∠BAC = 90° × 2/3

∠BAC = 60°.

From eqn. 1, we have:

∠BOA = 2∠BAC.

∠BOA = 2 × 60

∠BOA = 120°.

In conclusion, this proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

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Answer: The spacecraft is traveling at a rate of approximately 6 x  millimeters per hour.

Step-by-step explanation: hope this helps(;

The statement which is not true regarding the spacecraft is:

The spacecraft is travelling at the rate of approximately  6 × 10⁹ mm/h.

A machine or vehicle built to travel through space is known as a spacecraft. Spacecraft, a type of artificial satellite, are used for a wide range of tasks, including communications, Earth observation, meteorology, navigation, space colonisation, planetary exploration, and the transportation of people and goods.

Lets determine the speed of spacecraft

Speed = distance/time

Speed = 1.98 × 10¹⁰ / 330000

Speed = 6 × 10⁴ km/h

Convert to millimetres

1 km = 1000000 mm

10000 km = 1000000 × 10000

                 = 10000000000 mm or 10¹⁰ mm

Speed = 6 × 10¹⁰ mm/h

However it is given that speed in mm is 6 × 10⁹ mm/h

Therefore, The statement which is not true regarding the spacecraft is:

The spacecraft is travelling at the rate of approximately  6 × 10⁹ mm/h.

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Complete question:

Answer:

f

Step-by-step explanation:

because math

Answer:

E. It cannot be determined

Step-by-step explanation:

Well, based on trying to find e, there is no way to determine the value, therefore the answer is e, it cannot be determined.

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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The formula in statistic to calculate cards drawn at random without replacement shows both the cards are green is given by,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

The formula in statistics for calculating the probability of drawing two cards at random without replacement,

Both cards are green, depends on the total number of cards and the number of green cards in the deck.

Let us consider there are N total cards in the deck.

And k of them are green.

Probability of drawing two green cards without replacement,

use the following formula,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

⇒ P(two green cards) = (k/N) x ((k-1)/(N-1))

First term in the formula represents the probability of drawing a green card on the first draw.

Second term represents the probability of drawing a green card on the second draw.

First card was green and hasn't been replaced.

Assumes that each card in the deck is equally likely to be drawn.

And that the two draws are independent of each other .

For example,

A deck of 52 cards,

And there are 13 green cards in the deck (4 of each suit).

The probability of drawing two green cards without replacement would be,

P(two green cards)

= (13/52) x ((12/51))

= 0.0588

Therefore, the probability of drawing two green cards without replacement is approximately 0.0588 or 5.88%.

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The above question is incomplete, the complete question is:

Two cards are drawn at random from a deck of 52 cards of four different color without replacement. What is the formula in statistic for two cards drawn at random without replacement if both cards are green ?

Answer: $940

Step-by-step explanation:

30% can also be represented as 0.3.

You can solve and find 100%, or the original price, by cross-multiplying.

282 x 1 = 282

282 / 0.3 = 940

The price yesterday was $940.

Answer:

x>20

Step-by-step explanation:

2(x-15)>x/2

2x-30>x/2

Multiply both sides by 2

4x-60>x

Subtract 4x from both sides

-60>3x

-20<x

Answer: x>20

Answer:

The correct answer is x ≥ 20.

The length=12cm and width=8cm of the rectangle.

What is area of rectangle?

   The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. Basically, the area formula is equal to the rectangle's product of its length and width.

Here length = l ans width = w.

The length of rectangle is 4 cm less than twice its width.

=> l = 2w - 4

Then area of rectangle A= 96 sqaure centimeters.

=> A = l*w

=> 96 = (2w-4)w

=> 96= 2\(w^{2}\)-4w

=>  2\(w^{2}\)-4w = 96

=>  2\(w^{2}\)-4w-96=0

=> \(w^{2}\)-2w -48 =0

=> \(w^2\)-8w+6w-48=0

=> w(w-8)+6(w-8)=0

=> (w+6)(w-8)=0

=> w= -6,8

Then width w = 8 cm

Now l = 16-4 =12 cm.

Therefore the length = 12cm and width=8 cm.

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In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.