A side of the triangle below has been extended to form an exterior angle of 133. Find the value of X

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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If 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

In the question;

it is given that

the total solution of acid and water is 363 milliliters .

and also it is  given that 13.6% of the solution is acid ,

which means

the amount of acid in solution = 13.6% of total solution

Substituting the values , and

on solving further ,

we get

amount of acid in solution = 0.136×363        ......as 13.6% = 0.136

= 49.368

≈ 49.4  milliliter

Therefore , if 13.6% of the solution is acid ,then 49.4 milliliters of acid are there .

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There are 50 workers, 6 of them are left-handed. If 2 workers are selected randomly, the probability neither of the workers selected are left-handed is 0.77

The conditional probability can be computed as:

P(A∩B) = P(B |A) P(A)

Where:

P(B |A)  is read is the probability of B given A occurs.

In the given problem:

number of right-handed = 44

Let P(R) denote the probability that a selected worker is right-handed, then:

P(R) = 44 / 50

Now the remaining workers = 49, suppose the first selected worker is right-handed, the remaining right-handed one is 43. Hence,

P(R | R) = 43/49

Therefore, the probability that both selected workers are right handed is:

P(R, R) = 44/50 x 43/49 = 0.77

Correct question:

There are 50 workers onsite at a large construction project. Six of them are left-handed, and the rest are not. Suppose that the project manager randomly selects 2 workers (without replacement). What is the probability that neither of the workers selected are left-handed? round your answer to two decimal places.

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Answer:

The inverse is 1/2x -1/2

Step-by-step explanation:

f(x) = 2x+1

y = 2x+1

Exchange x and y

x = 2y+1

Solve for y

Subtract 1

x-1 = 2y+1-1

x-1 =2y

Divide by 2

x/2 -1/2 = 2y/2

1/2x -1/2 = y

The inverse is 1/2x -1/2

Answer:

30 pieces

540 inches of ribbon in total

Step-by-step explanation:

1 foot = 12 inches

9 feet of ribbon = (9x12) 108 inches of ribbon (1 roll)

5 x 108 = 540 inches of ribbon (in total)

540 / 18 = 30

30 pieces of ribbon

The statement "changing the units of measurements of the explanatory or response variable does not change the value of the correlation" is correct.

Out of the four statements, the correct one is that changing the units of measurements of the explanatory or response variable does not change the value of the correlation. Correlation is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a positive value indicates a positive relationship, a negative value indicates a negative relationship, and a value close to zero indicates little or no relationship.

The correlation between y and x has the same number but opposite sign as the correlation between x and y. This means that if the correlation between x and y is positive, the correlation between y and x will also be positive, but with the opposite sign. For example, if the correlation between x and y is 0.8, the correlation between y and x will be -0.8.

The correlation does not have units. It is a unitless measure that only quantifies the relationship between the variables. The units of measurement for the explanatory variable (x) and the response variable (y) are not relevant to the calculation of the correlation.

A negative value for the correlation indicates a negative relationship between the variables, not that there is no relationship. It means that as one variable increases, the other variable tends to decrease. A correlation of -1 indicates a perfect negative relationship, while a correlation of 0 means there is no linear relationship.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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Answer:

Step-by-step explanation:

Part A

Variable 1: x

Variable 2: y

Equation: x + y = 23

Part B

21,2

11,12

10,13

This is all I know.

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Therefore , the average rate of combined miles per gallon of gasoline is $25 MPG.

The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio between the total number of units in the list and the sum of all the data. The term "mean" in statistics also refers to the average of a particular set of numerical data. For instance, (2+3+4)/3 = 9/3 = 3 is the average of 2, 3, and 4. As a result, in this instance, 3, which also includes 2, 3, and 4, serves as the core value.

Here,

They both traveled the same distance as a result. 80 miles will do for now.

Ray used two gallons of fuel,

Tom used eight,

for a combined total of 160 miles and ten gallons of fuel,

which seems like sixteen miles per gallon to me.

=> 40 + 10 /2

=> 50/2

=> 25

It's the average, or $25 MPG.

Therefore , the average rate of combined miles per gallon of gasoline is $25 MPG.

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The liabilities whose book values and fair values differed by \$100,000 during that year are:

The difference between book values and fair values of liabilities arises due to various factors. Book value refers to the value of a liability as recorded on the balance sheet, which is based on historical cost and may not reflect the current market conditions. Fair value, on the other hand, represents the estimated value of a liability in the current market.

There are several reasons why the book values and fair values of liabilities may differ.

Changes in interest rates, creditworthiness of the debtor, market conditions, and the passage of time can all contribute to these differences. If interest rates have changed since the liability was initially recorded, the fair value may be higher or lower depending on the prevailing rates.

Similarly, if the creditworthiness of the debtor has changed, the fair value may be adjusted to reflect the increased or decreased risk associated with the liability.

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Answer:

The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

Step-by-step explanation:

Hank and Lynn are both paying off car loans

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

Therefore, the total amount paid (C(h)) after x months by given by  

C(h) = 2000 + 200x ......... (1)

So, this relation is proportional but not directly proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

Therefore, the total amount paid (C(l)) after x months by given by  

C(l) = 275x ......... (2)

So, this is a directly proportional relation which is also proportional.  

hope it helps mark me as brainliest.

Answer:

\(y-4=\frac{1}{2} (x+10)\)

Step-by-step explanation:

Point-slope form: \(y-y_1=m(x-x_1)\) when the given point is \((x_1,y_1)\) and the slope is \(m\)

\(y-y_1=m(x-x_1)\)

Plug in the point (-10,4)

\(y-4=m(x-(-10))\)

Two negatives make a positive

\(y-4=m(x+10)\)

Plug in the slope

\(y-4=\frac{1}{2} (x+10)\)

I hope this helps!

Hii!

let me answer this for you before i head out!

So, how many days are in 1 week? 7.

To rent daily, we need to find out the price for 1 single month.

1 month is $154

7 times what is 154?

7x22 is 154

Therefore, to rent a room everyday, it would cost 22$ for the first month.

437 divided by 2 is 218

218 divided by 7 is 31

Hope it helps

Sorry if its wrong!

Answer:

the answer is n=17

Step-by-step explanation:

1/5= 8-5/n-2

Answer:

D) 111

Step-by-step explanation:

In order to find ∠KJH we must find the measure of arc KH

Note that ∠KJH is a central angle and arc KH is the arc it intercepts

Because ∠KJH is a central angle it equal the measure of its intercepted arc

Thus, ∠KJH = arc KH

J is a circle that is made up of 3 arc; KL, LH and KH

If you didn't know the sum of the arcs in a circle = 360°

Which means that arc KL + arc LH + arc KH = 360

If arc KL = 136 and arc LH = 113

Then 136 + 113 + arc KH = 360

                        ^ ( note that we just created an equation that we can use to

                            solve for arc KH )

We now solve for arc KH

136 + 113 + arc KH = 360

* combine like terms *

136 + 113 = 249

we now have 249 + arc KH = 360

* subtract 249 from each side *

249 - 249 cancels out

360 - 249 = 111

We're left with arc KH = 111°

Like stated previously arc KH = ∠KJH

Hence, ∠KJH = 111°

Answer:

The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.

I find that the monthly payment will be

$848.89. There will be 360 such payments over 30 years, for a total payment amount of $30The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.

R = Pi/[1 - (1+i)^(-n)] where

P = 110,400

R = the monthly payment

i = 8.5/[100(12)] = .007083...

n = 30(12) = 360 yielding

R = $848.88 per month.

Therefore, the total interest paid is 360(848.88) - 100,400.

5,600. Subtract the original principle (110,400) from that to get the interest paid.

hopes this helps :]

To find m,

m= Y2-Y1 / X2-X1

m= 10-5 / 4-2

m= 5/2

m= 2.5

To find b,

Use coordinate (4,10)

y=mx+b

10=2.5(4)+b

10=10+b

b=0

y=2.5x

the answer is y=2.5x

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

Answer:

First of all, this is a simple solution to the equation, by simplifying the equation to x greater than or equal to 12, so option A is in line with the meaning of the problem

Answer: The answer is A & D

Step-by-step explanation:

150x + 200 >_ 2000= x >_12

50x + 1400 >_ 2000= x >_ 12

Your Welcome!

After solving the given equations the answer is an Infinite solution. Hence, option A is correct

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

8 + 4x = 2x + 8 + 2x

Firstly, let's write the given equation in a simplified manner,

8 + 4x = 8 + 4x  

As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.

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a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Answer:

\(\huge\boxed{\sf 288.9\ unit\²}\)

Step-by-step explanation:

Given that,

a = 29

b = 28

c = 22

= Sum of all sides

= 29 + 28 + 22

= 79

= P / 2

= 79 / 2

= 39.5

= \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where s is semi-perimeter.

Put the given data:

= \(\sqrt{39.5(39.5-29)(39.5-28)(39.5-22)}\)

= \(\sqrt{39.5(10.5)(11.5)(17.5)}\)

= \(\sqrt{83468.4}\)

Answer: 30

Because its thirty

Answer:

m = -4

Step-by-step explanation:

We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.

The slope (m) can be calculated from two points using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points.

We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.

\(x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22\)

Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-22--2}{-2--7}\)

Simplify.

m=\(\frac{-22+2}{-2+7}\)

Add.

m=\(\frac{-20}{5}\)

Divide.

m = -4

The slope of the line is -4.

Topic: slope

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Answer:

I don't really know sorry

Answer:

1/2

Step-by-step explanation:

It's a reduction; the scale factor is 1/3. It's a reduction; the scale factor is 1/2.