What is the population for the following situation?
What is the average cost of a 48 inch screen TV in the state of Oregon?

The compression work if the final state is 500 kpa will be 44.32KJ

Step-by-step explanation:

The stated circumstance is;

P₁= 1.0 MPa

T₁ = 250°C

M=0.6 Kg

v₂=0.4v₁

v₁=0.30661 m/sec

P₂=1 Mpa

T₂=250°C

repairs made to the piston;

 W= mP(V2-V1),

W= 0.6*1,000(0.232-0.30661)

W= -44.32\J

illustrates the compression work using (- ve)

Since there is pressure in the final condition, the compression work is 44.32. (KJ)

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The 30th term a30 of the sequence is -1445

The definition of the function is given as

arithmetic sequence of 1,-4,-9,-14

The above definitions imply that we simply subtract 5 from the previous term to get the current term

Using the above as a guide,

so, we have the following representation

First term, a = 1

Common difference, d = 5

An arithmetic sequence is represented as

a(n) = a + (n - 1)d

For the 30th term, we have

a(30) = a + 29d

So, we have

a(30) = 1 + 29 * -5

Evaluate

a(30) = -144

Hence, the value of a30 is -144

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Answer:

Here's how to round 2.4 to the nearest hundredth, including the result, the rounding explained, related information as well as a calculator.

Step-by-step explanation:

Missing: 19.96 ÷ ‎| Must include: 19.96 ÷

An inequality for the graph above is y ≤ -3x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(3 - 0)

Slope (m) = -9/3

Slope (m) = -3

At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -3(x - 0)  

y = -3x + 6

y ≤ -3x + 6 (since the solid line is shaded below).

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Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

What is prefrontal cortex?

In the frontal lobe of the brain, there is a structure called the prefrontal cortex. It carries out cognitive functions like memory, attention, planning, flexibility, etc. It is regarded as the region of the brain that develops the least quickly

Prefrontal cortex is located in the frontal lobe.

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

Mid-twenties is when it reaches maturity. This explains why teenagers are more likely to establish harmful behaviours than younger kids and why adults are better at planning and thinking. An attention deficit and trouble remembering details can be brought on by prefrontal cortex (PFC) damage. Moreover, it may result in psychological changes, a diminished capacity for feeling, and bodily impairments associated with daily activities.

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Jade travelled 51/40 miles before stopping

Fractions are simply defined as the part of a whole variable or also the part of a whole number that is given.

In mathematics, fractions take different forms, such as;

From the information given, we have that;

The bike trail is about 5 1/10 miles long

Represent as an improper fraction, we get;

5 1/10 = 51/10 miles long

If Jade travelled 1/4 of the bike trail, then, we have;

1/4 × 51/10

Divide the values

51/40

1 11/40 of the trail.

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Jade rode about 1.275 miles before stopping.

A mile means unit for measuring distance. We have 1,760 yards in a mile which is the same as 5,280 feet or 63,360 inches.

To find out how many miles Jade rode before stopping, we need to multiply the length of the bike trail by the fraction of the trail that Jade rode before stopping.

The length of the bike trail is 5 1/10 miles which is converted to 51/10 miles.

Jade rode 1/4 of the trail before stopping, which we can also express as  5/20.

The number of miles Jade rode before stopping is calculated as:

= (51/10) x (5/20)

= 1.275 miles.

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Step-by-step explanation:

area of Triangle = (20 -9) (6) (1/2) = 33 in ^ 2

area of rectangular = 20 x 9.5 = 190 in ^2

total = 223 in ^2

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

Answer:

5x8=40

Step-by-step explanation:

The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.

In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.

The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.

However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.

Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.

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The probability of missing both throws is 0.3 × 0.1 = 0.03. Subtracting 0.03 from 1,

The probability of making at least one successful throw can be found by finding the probability of missing both throws and subtracting it from 1. The probability of missing the first throw is 0.3, so the probability of making the first throw is 0.7.

If the first throw is missed, the probability of missing the second throw is 0.1. Therefore, the probability of missing both throws is 0.3 × 0.1 = 0.03. Subtracting 0.03 from 1, the probability of making at least one successful throw is 0.97.

Therefore, the probability of making at least one successful throw is 0.97 or 97%. This means that there is a high chance that the quarterback will make at least one successful throw before his team is forced to punt the ball.

The calculation shows that even if the quarterback misses the first throw, he still has a high probability of making the second throw, which increases the probability of making at least one successful throw.

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A rectangle circle is not a real shape; it is a figure of speech.

A rectangle-circle is an expression used to describe something that is impossible or illogical. It is used to emphasize the absurdity of something that could never exist in reality.

For example, someone might say that it's like trying to “fit a square peg into a rectangle circle.”

This expression conveys the idea that the task is impossible and that it is foolish to even attempt it. It is an example of a figure of speech used to make a point, rather than to describe a real shape.

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The value of n is found as the 6 for the given exponent equation.

For the stated equation.

36 Superscript 12 minus n Baseline = 6 Superscript 2 n

This can be written as;

36¹²⁻ⁿ = 6²ⁿ

Using the adding exponent rule.

36¹².36⁻ⁿ = 6²ⁿ

Simplifying.

(6)²ˣ¹².(6)⁻ⁿˣ² = 6²ⁿ

(6)²⁴.(6)⁻²ⁿ = 6²ⁿ

Thus,

As, the base of number is equal , equating the powers.

24 - 2n = 2n

4n = 24

n = 6

Thus, the value of n is found as the 6 for the given exponent equation.

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The correct question is-

If 36 Superscript 12 minus n Baseline = 6 Superscript 2 n, what is the value of n?

Answer:B

Step-by-step explanation:

edge 2023

The employee's net take-home pay is $2597.

The gross salary is the total salary before any deductions are made.

In this case, the employee's bi-weekly gross salary is $3000.

Deductions are made from the gross salary to arrive at the net take-home pay.

The deductions include income tax, CPP, El, and union dues.

The total deductions can be calculated by adding the individual deductions:

Total deductions = Income tax + CPP + El + union dues

Total deductions = $218 + $99 + $36 + $50Total deductions = $403

The net take-home pay is the amount that the employee receives after all the deductions have been made.

It can be calculated by subtracting the total deductions from the gross salary:

Net take-home pay = Gross salary - Total deductions

Net take-home pay = $3000 - $403Net take-home pay = $2597

Therefore, the employee's net take-home pay is $2597.

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The perimeter of the triangle is 50.96 inches.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles triangle.

This means,
Two sides are equal.

Now,

The length of the altitude = 15 inches.

The length of the base = 11 inches.

Now,

The right triangle:

Base = 11/2 = 5.5 inches.

Height = 15 inches.

The other side = x

Applying the Pythagorean theorem.

x² = 5.5² + 15²

x² = 30.25 + 225

x² = 255.25

x = √255.25

x = 19.98 inches.

Now,

The perimeter of the triangle.

= 2x + 11

= 2 x 19.98 + 11

= 50.96 inches.

Thus,

The triangle's perimeter is 50.96 inches.

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The  0.4 in the word form is four tenth and 0.40 in the word form is forty hundredth.

To write a decimal in word form, follow these steps:

So, 0.4 in the word form can be written as : four tenth

And, 0.40 in the word form can be written as : forty hundredth

So, they both are equivalent as they both mean the same amount. We can shade 4 tenths of a grid or 40 hundredths and have the same amount shaded.

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Answer:

1008 \(cm^2\)

Step-by-step explanation:

Given:

Triangular prism with

Base of triangle = 5 + 9 = 14 cm

Height of triangle = 12 cm

Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm

Lengths of faces = 13cm ,14cm and 15 cm respectively

To find:

Total surface area = ?

Solution:

3 faces are rectangular shape and 2 faces are triangular shape.

\(Area\ of\ rectangle = Length \times Width\)

The formula for Total Surface Area of a triangular prism is given as:

\(TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2\)

So, the total surface area of the given triangular prism is 1008 \(cm^2\).

The factors which would be considered while constructing a road for a steep slope are the terrain of the area, the estimated daily traffic, minimum and maximum sight distance, and the design speed.

Constructing roads on a steep slope is a challenge for every civil engineer. It is because such slopes which are possibly found in hilly areas have less access to main land from where the resources/ material for construction are to be transported and also need specific calculations to estimate maximum durability of the roads and also prevent accidents which might occur due to steep slopes.

Hence, an engineer has to keep in mind several factors which can help to reduce the accident cases, provide road safety and better connectivity with major areas.  It is essential that roadway engineers design roads that allow drivers to travel at the right speed. Topography determines the terrain, the different gradient and the construction cost. Every roadway should be built with illuminated raised pavement markings for facilitating safe travel during the night.

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Answer:

the ans is 9.......I believe

A linear regression is a regression that can be represented by a linear line of best fit.

The equation of the line of best fit is \(y = 2.4x +33.2\)

From the graph, we have the following ordered pairs

(x,y) = (50,150) and (100,270)

The slope (m) is then calculated as:

\(m = \frac{270 - 150}{100 - 50}\)

This gives

\(m = 2.4\)

The regression line crosses the y-axis at b = 33.2

A linear regression is represented as:

y = mx + b

So, we have:

\(y = 2.4x +33.2\)

Hence, the equation of the line of best fit is \(y = 2.4x +33.2\)

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Percent error in the measurement is 8.3 % ( round to one decimal )

Percent of error show how big the error between measurement and actual value in comparison of actual value, and shown in percentage.

Simple formula to find percent of error is :

% error  = | (T - E) / T | x 100%

Where :

T is actual value

E is estimated / measured value

From the question, we know following information :

1. Measured Value = 13 inches

   --> E = 13 inches

2. Actual value = 1 foot. We know that 1 foot equal to 12 inches

   --> T = 12 inches

% error = | (T - E) / T | x 100%

            = | (12-13)/12 | x 100%

            = | -1/12 | x 100%

            = | -0.083 | x 100%

            = 0.083 x 100%

            = 8.3 %

Hence percent error of the measurement is 8.3%

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Answer: 9.2%

Step-by-step explanation: did the test and got it correct, hope this helps

The mode is best to use as a measure of center when the data consists of discrete proportions.

The mode is best to use as a measure of center when the data consists of discrete proportions, such as if the data is categorical in nature.

If a set of numbers has a standard deviation of zero, it means that all of the numbers are the same. This can be interpreted from a class grade standpoint as all of the students in the class got the same score.

The median is less affected by skewed data than the mean because the median is found by sorting the data points and choosing approximately the middle value, whereas the mean is found by adding all of the data together and dividing by the number of data points.

Most data is likely to be skewed, as there are usually outliers that cause the bulk of the data to be located toward one end of the distribution. This means that the mean and median values will be pulled away from each other, resulting in a skewed distribution.

Hence, the mode is best to use as a measure of center when the data consists of discrete proportions.

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Answer:

4÷2=2

6÷2 =3

2:3 this is 4:6 in its simplest form

they are proportional or equal

Step-by-step explanation:

multiple are numbers a divide with and not get

a remainder

example 8÷4=2

8÷3=2 remainder 1 meaning that 3 in not a multiple

2) they are not proportional

6÷2=3

18÷2=9

3:9

6÷3=2

18÷3=4=6

6÷6=1

18÷6=3

1:3

this ratios are all not equal or proportional to1:4

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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The domain are all of the x-values that are located on the x-axis of a cartesian coordinate while the range all of the y-values that are located on the y-axis of a cartesian coordinate.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

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Answer:

.00354

Step-by-step explanation:

1. just move the decimal three places to the left.

-

when doing standard notation and the power is negative, we go negative. This is just common rules that you will learn when we do standard and scientific notation.

The first step is to describe the method to take

To solve the system of equations 4x + 2y = 11 and 3x - y = 9, the first step would be to choose a method to solve the system.

There are several methods for solving systems of equations, including:

One common method is the substitution method, which involves solving one equation for one variable and then substituting the expression for that variable into the other equation.

For example, we could solve the second equation 3x - y = 9 for y to get:

y = 3x + 9

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