The function m(x) = |x-441 represents the absolute deviation (in years) of a man's agex (in years) from the average age of men in a
city. The function w(x)=x-47| represents the absolute deviation (in years) of a woman's age x (in years) from the average age of
women in the same city. Compare the absolute deviations for a man and a woman who are both 64 years old.
A
The age of the man is years from the average age of men in the city. The age of the woman isyears from the average age of women in the city.

To calculate the expected value and standard deviation of a variable, we first need to have a dataset or probability distribution. However, you haven't provided any specific information about variable x or the data.

In general, the expected value of a variable is the sum of each value multiplied by its corresponding probability. It represents the average value we expect to obtain from a random sample. The standard deviation measures the dispersion or variability of the data points around the expected value. It provides an understanding of how spread out the data is from the mean. These calculations are crucial in statistics for analyzing and summarizing data.

If you can provide the necessary information about the variable x, such as its data or probability distribution, I will be happy to assist you in calculating the expected value and standard deviation.

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Answer:

(negative 2) (4)

Step-by-step explanation:

Because a single step is ( negative 2)

And it's repeated 4 times

Answer:

The product that is modeled below is ( -2 ) * ( 4 ).

Step-by-step explanation:

Hope this helps!

Answer:

34.7647058824

Step-by-step explanation:

The appropriate null and alternative hypotheses for the test are (A) H0: μ = 500,000; HA: μ ≠ 500,000. Correct option is A.

In hypothesis testing, the null hypothesis (H0) represents the assumption or claim that is initially presumed to be true. The alternative hypothesis (HA), on the other hand, represents the opposite or contrary claim to the null hypothesis. In this scenario, the realtor believes that the average price of a house is more than $500,000. Therefore, the null hypothesis would state that the population mean (represented by μ) is equal to $500,000 (H0: μ = 500,000). The alternative hypothesis would state that the population mean is not equal to $500,000 (HA: μ ≠ 500,000), indicating that the average price of a house could be either higher or lower than $500,000. This hypothesis setup allows for a two-tailed test, considering both possibilities of the average price being significantly higher or significantly lower than $500,000.

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The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.

What is circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

in a circle of radius 3.4 cm

central angle that measures 46 degrees

length of arc = (46/360) * 2π*3.4

=2.72cm

Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm

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Answer:

x = 121°

Step-by-step explanation:

The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus

interior angle = 180° - 115° = 65°

The angle round a point is 360°

The vertex interior angle = 360° - 304° = 56°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

E A F

Step-by-step explanation:

Answer:

Use "photo math."

Step-by-step explanation:

Answer:

n(a) X n( b) = 6

Step-by-step explanation:

n(a)= 2

n(b) = 3

n(a) X n( b) = 2x3

=6,,

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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162.5  is the simple interest for one year.

What does the term "simple interest" mean?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.

                   Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P = $812.50

T = 1 Year

S.I. = ?

R = 20

According to question,

                 S.I. = P * R* T/100

                     = 812.50 * 20 * 1/100

                     = 16250/100

                    = 162.5

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Answer:

80

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Sum of angles in a triangle = 180°

84 + x +59 +x + 31 =180°

84+54+31+x+x = 180°

169 + 2x = 180°

2x = 180 - 169

2x = 11

x = 11/2

Answer:

0.25

Step-by-step explanation:

0.25-0=0.25

The total cost of the puzzles sold, including tax is $5604.

Multiplication is the process of calculating the product of two or more numbers. In Maths, the basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, 934 puzzles are sold, each costs $6, including the taxes,

We need to find the cost of sold toys,

To find the same, we will multiply the cost of one toys with the number of toys sold,

So, the total cost = 934 x 6 = 5604

Hence, the total cost of the puzzles sold, including tax is $5604.

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Answer:

The answer is

c=-4+3b/a-1

Therefore, the probability that in any given minute there will be 2 or fewer arrivals is approximately 0.4231 or 42.31%.

To find the probability of 2 or fewer arrivals in a given minute, we can use the Poisson distribution formula.

The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of k arrivals,

e is the base of the natural logarithm (approximately 2.71828),

λ is the average rate of arrivals,

k is the number of arrivals.

In this case, the average rate of arrivals is given as 3 per minute.

Let's calculate the probabilities for k = 0, 1, and 2.

For k = 0:

P(X = 0) = (e⁻³ * 3⁰) / 0! = e⁻³ ≈ 0.0498

For k = 1:

P(X = 1) = (e⁻³ * 3¹) / 1! = 3e⁻³ ≈ 0.1493

For k = 2:

P(X = 2) = (e⁻³ * 3²) / 2! = 9e⁻³ / 2 ≈ 0.224

To find the probability of 2 or fewer arrivals, we sum up the probabilities for k = 0, 1, and 2:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= 0.0498 + 0.1493 + 0.224

≈ 0.4231

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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The 19 circles are possible within the same center and not more than 18 units.

The radius of each circle must be different if we wish to draw many circles around a single Centre point.

We can draw a circle with a radius of 18 units that is centered at (-3, 8) to make the largest circle feasible because each circle can have a maximum radius of 18 units.

We can create a circle with simply the Centre point if we assume that the radius is 0. (-3, 8).

We can continue this process, increasing the radius by 1 unit each time, until we reach a radius of 18 units. Therefore, we can draw 19 circles in total, including the circle of radius 0 units.

Therefore, the 19 circles are possible within the same center and not more than 18 units.

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The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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I predict that the solid with the  greater surface area to volume ratio would be the cube.

The volume of the cube is 27in³

The surface area of the cube is

The ratio of surface area to volume for the cube is 2.

The volume of the sphere is 113.14 in³

The surface area of the sphere is 113.14 in²

The ratio of surface area to volume is 1.

The volume of a cube = side length³

3³ = 27 in³

The surface area of a cube = 6a²

a = side length

6 x (3²) = 54 inches²

Ratio of surface area to volume = 54 / 27 = 2

The volume of the sphere= 4/3πr³

4/3 x 22/7 x 3³ = 113.14 in³

The surface area of the sphere = 4πr²

4 x 22/7 x 3² = 113.14 in²

Ratio of surface area to volume = 113.14 / 113.14 = 1

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Answer:

your answer please mark me as brainlist

Step-by-step explanation:

V

=

238

m³

Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this

Step-by-step explanation: pls mark brainliest

Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

The interior volume of the tent where the cross sections are triangles is given is 120ft³.

There are two cross sectional triangles

The  one smaller triangle with the height and base of 2ft

The other bigger triangle has a base and height of 4 ft

And the total length of the Tent is given as 6 ft.

Therefore,

Area of smaller triangle = 2 x 2 = 4m²

Area of bigger triangle = 4 x 4 = 16 ft²

So the Volume of the tent is given by ,

Total length x (Area of smaller triangle + Area of bigger triangle)

= 6 x ( 4 + 16 )

=6 x ( 20 )

= 120 ft ³

A measurement of three-dimensional space is volume.  Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The capacity of a container is typically regarded to be its volume.

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Given the sales tax rate of 6.25% and the total cost of the items purchased at Walmart as $35.02, we can calculate the total cost including tax. To do this, we first need to find the tax amount on the purchase.

Tax amount = (Tax rate * Total cost of items) / 100
Tax amount = (6.25 * $35.02) / 100
Tax amount = $2.18875

Now, round the tax amount to the nearest cent:
Tax Amount ≈ $2.19

Next, add the tax amount to the total cost of the items to find the total cost including tax:
Total cost including tax = Total cost of items + Tax amount
Total cost including tax = $35.02 + $2.19
Total cost including tax ≈ $37.21

So, the total cost of the items purchased at Walmart, including the 6.25% sales tax, is approximately $37.21.

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Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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