what is 343250394065834698350968549846÷57547547

Answer:

descriptive statistics

Step-by-step explanation:

The statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

The following information regarding descriptive statistics is:

Therefore we can conclude that the statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

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Answer:

(-4,3)

Step-by-step explanation:

sum the equations vertically to eliminate at least one variable

2x= -8

divide both sides by 2

x= -4

substitute the given value of x into the equation

x+y= -1

-4+y= -1

y=3

(-4,3)

The sides of the triangle are 45 feet, 60 feet and 25 feet.

The Perimeter of Triangle

The perimeter of the triangle is the sum of all the side lengths of the triangle.

Where a, b and c are three sides of a triangle.

Given that the sides of a triangle are in a ratio of 9:12:5 and its perimeter is 130 feet.

Let us consider that x is the basic measurement of a side of the triangle, then the ratio of the triangle is given as,

Ratio = 9x : 12x : 5x

In this case, the perimeter is,

The side of the triangle is given below.

Hence the sides of the triangle are 45 feet, 60 feet and 25 feet.

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The correlation between x and y is 0.5. This indicates a positive correlation, meaning that as values of x increase, so do the values of y.

The correlation coefficient (denoted by ρ) between x and y can be calculated as:

ρ = covariance(x,y) / (standard deviation of x * standard deviation of y)

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other. When the variables are translated linearly, a function has the property of preserving its shape.

We are given that the covariance between x and y is 25, the standard deviation of x is 10, and the standard deviation of y is 5. Substituting these values into the formula, we get:

ρ = 25 / (10 * 5) = 0.5

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Answer:

The mean is lower than the median which is lower than the mode.

Step-by-step explanation:

A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.

Answer:

I think it's c sorry if im wrong

Given that t: ℝ2 → ℝ2 rotates points (about the origin) through 5π/6 radians. In order to find the standard matrix of t, we need to follow these steps:

Step 1: Determine the coordinates of the image of the standard basis vectors under the transformation t.Step 2: Write the column vectors of the matrix formed by the image coordinates of the standard basis vectors. We know that the rotation matrix for rotating a point about the origin through an angle θ is given by: [cos(θ) -sin(θ)][sin(θ) cos(θ)]

Therefore, the standard matrix of t will be:```
[cos(5π/6) -sin(5π/6)]
[sin(5π/6) cos(5π/6)]
```So, the standard matrix of t is `[cos(5π/6) -sin(5π/6)][sin(5π/6) cos(5π/6)]`.

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The percentage of children aged between the ages of 8 - 12 who own phones are, in fact, lower than the 52% industry average. Of the 832 children aged 8 to 12 who were questioned by the national consumer league, 449 had cell phones.

You must use survey data to calculate the percentage of youngsters between the ages of 8 as well as 12 who own phones to ascertain whether the commercial manager's assertion is accurate. To achieve this, divide the total number of children polled (832) by the total number of kids who own phones (449), multiply the outcome by 100 to get the percentage, and so on.

This estimate gives a percentage of 53.8%, which is slightly higher than the advertising manager's stated figure.

This implies that the claim made by the management could not be genuine, and more investigation would be required to ascertain if it is real or not.

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Answer:

the coefficient of x is 1

Step-by-step explanation:

In the expression ax²+bx+c=0

a is the coefficient of x²

b is the coefficient of x

2+x²+x = x²+x +2 = 1x²+1x +2 =

So in this expression right above the coefficient of x is 1

Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

The numbers given as 0.868668666866668666668... and 0.868668666866668666668... are  irrational numbers

From the question, the numbers are given as

0.868668666866668666668... and 0.868668666866668666668...

As a general rule.

Numbers that end in three dots are irrational numbers

The above is true because

When numbers cannot be represented as a fraction of integers, then such numbers are irrational numbers

Hence, the numbers are irrational numbers

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Both the given values 0.868668666866668666668.. and 0.868668666866668666668... are irrational numbers.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
Both numbers are irrational numbers, because

Thus, Both the given values 0.868668666866668666668.. and 0.868668666866668666668... are irrational numbers.

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The volume of the solid is (7π - 8√2)/12 cubic units.

To find the volume of the solid enclosed by the cone and sphere in cylindrical coordinates, we first need to express the equations of the cone and sphere in cylindrical coordinates.

Cylindrical coordinates are expressed as (ρ, θ, z), where ρ is the distance from the origin to a point in the xy-plane, θ is the angle between the x-axis and a line connecting the origin to the point in the xy-plane, and z is the height above the xy-plane.

The cone z = x^2 + y^2 can be expressed in cylindrical coordinates as ρ^2 = z, and the sphere x^2 + y^2 + z^2 = 2 can be expressed as ρ^2 + z^2 = 2.

To find the limits of integration for ρ, θ, and z, we need to visualize the solid. The cone intersects the sphere at a circle in the xy-plane with radius 1. We can integrate over this circle by setting ρ = 1 and integrating over θ from 0 to 2π.

The limits of integration for z are from the cone to the sphere. At ρ = 1, the cone and sphere intersect at z = 1, so we integrate z from 0 to 1.

Therefore, the volume of the solid enclosed by the cone and sphere in cylindrical coordinates is

V = ∫∫∫ ρ dz dρ dθ, where the limits of integration are

0 ≤ θ ≤ 2π

0 ≤ ρ ≤ 1

0 ≤ z ≤ ρ^2 for ρ^2 ≤ 1, and 0 ≤ z ≤ √(2 - ρ^2) for ρ^2 > 1.

Integrating over z, we get

V = ∫∫ ρ(ρ^2) dρ dθ for ρ^2 ≤ 1, and

V = ∫∫ ρ(√(2 - ρ^2))^2 dρ dθ for ρ^2 > 1.

Evaluating the integrals, we get

V = ∫0^1 ∫0^2π ρ^3 dθ dρ = π/4

and

V = ∫1^√2 ∫0^2π ρ(2 - ρ^2) dθ dρ = π/3 - 2√2/3

Therefore, the total volume of the solid enclosed by the cone and sphere in cylindrical coordinates is

V = π/4 + π/3 - 2√2/3

= (7π - 8√2)/12 cubic units

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The given question is incomplete, the complete question is:

Use cylindrical coordinates Find the volume of the solid that is enclosed by the cone z = x^2 + y^2 and the sphere x^2 + y^2 + z^2 = 2

Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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The Cartesian equation of the curve is y = -4x + 9 for -1 ≤ x ≤ 4.

To eliminate the parameter t, we can isolate t in the equation x = t^2 - 2 and substitute it into the equation for y. This gives us:

y = t + 1

t = x + 2

y = x + 3

So the Cartesian equation of the curve is y = x + 3 for -2 ≤ y ≤ 4.

We can eliminate t by taking the natural logarithm of both x and y. This gives us:

ln x = t - 8

ln y = 2t

Solving for t in the first equation and substituting it into the second equation, we get:

t = ln(x) + 8

y = e^(2ln(x)+16) = x^2e^16

So the Cartesian equation of the curve is y = x^2e^16.

To eliminate t, we can again isolate it in the equation for x and substitute it into the equation for y. This gives us:

x = t + 1

t = x - 1

y = 5 - 4(x - 1) = -4x + 9

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The Cartesian equation of the curve is y = 1 - 4x, for -1 ≤ x ≤ 4.

To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:

t = ±√(x + 2)

y = t + 1 = ±√(x + 2) + 1

Squaring both sides and simplifying, we get:

(x + 2) = (y - 1)²

So the Cartesian equation of the curve is:

x = (y - 1)² - 2, for -2 ≤ y ≤ 4.

To eliminate the parameter t, we can take the natural logarithm of both sides of the equation for y:

ln y = 2 ln e + t ln e = 2 ln e + ln x

ln y = ln (xe²)

y = xe²

So the Cartesian equation of the curve is:

y = x^2e^2.

To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:

t = 1 + x

y = 5 - 4t = 1 - 4x

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

====================================================

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

Step-by-step explanation:

CP=500

SP=550

Profit and profit%

We know that

\(\boxed{\sf Profit=SP-CP}\)

\(\\ \tt{:}\leadsto Profit=550-500\)

\(\\ \tt{:}\leadsto Profit=Rs.50\)

\(\boxed{\sf Profit\%=\dfrac{Profit}{CP}\times 100}\)

\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{500}\times{100}\)

\(\\ \tt{:}\leadsto Profit\%=\dfrac{50}{5}\)

\(\\ \tt{:}\leadsto Profit\%=10\%\)

\(\sf Key\:notes\begin{cases}\sf\mapsto CP=cost\: price \\ \sf \mapsto SP=Sold\:price\end{cases}\)

The function f(x, y, z) = x^2 + 2y^2 + 3z^2 decreases most rapidly at the point (1, 1, 1) in the direction of the negative gradient vector.

To find the direction in which a function decreases most rapidly at a given point, we can look at the negative gradient vector. The gradient vector of a function represents the direction of the steepest ascent, and its negative points in the direction of the steepest descent.

The gradient of the function f(x, y, z) = x^2 + 2y^2 + 3z^2 is given by:

∇f(x, y, z) = (2x, 4y, 6z).

At the point (1, 1, 1), the gradient vector is:

∇f(1, 1, 1) = (2(1), 4(1), 6(1)) = (2, 4, 6).

Since we are interested in the direction of the steepest descent, we take the negative of the gradient vector:

-∇f(1, 1, 1) = (-2, -4, -6).

Therefore, at the point (1, 1, 1), the function f(x, y, z) = x^2 + 2y^2 + 3z^2 decreases most rapidly in the direction (-2, -4, -6).

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Answer:

-2x + 8

Step-by-step explanation:

I applied the distribution technique to the original question.

Answer:

20/30

Step-by-step explanation:

Simplest form of 32/24= 4/3

Multiply both 4 and 3 by 10= 20/30

Hope this helps!

Answer:

\(\boxed{Rs 1084.5}\)

Step-by-step explanation:

One pack = Rs 120.5

→ Multiply both the brackets and price by 9

9 packets = Rs 1084.5

Answer:

Step-by-step explanation:

Cost of one pack of sweets = Rs 120.5

Cost of 9 packs of sweets = ?

Finding the cost of 9 packs of sweets

Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )

⇒ Rs 1084.5

Hope I helped!

Best regards!!

Christy and Adam spent a total of $30.749 at Walmart.

To calculate the total amount spent, we need to determine the individual costs of each item and then sum them up.

1. The pack of chicken is priced at $12.97.

2. The gallon of milk costs $4.97.

3. They bought 4 bags of chips for a deal of 2 for $5.00. This means each bag costs $5.00 / 2 = $2.50. So, the total cost of 4 bags of chips is 4 * $2.50 = $10.00.

4. They purchased 10 Sam's Choice 2-liter drinks for $0.67 each. The total cost of these drinks is 10 * $0.67 = $6.70.

So far, the total cost without considering any discounts is:

$12.97 (chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $34.64.

However, there was a 30% discount on the pack of chicken. To calculate the discounted price, we need to find 30% of $12.97, which is (30/100) * $12.97 = $3.891.

The discounted price of the pack of chicken is $12.97 - $3.891 = $9.079.

Therefore, the final total amount spent is:

$9.079 (discounted chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $30.749.

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The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The phone is worth $128 after 2 years, which is option C.

What is exponential decay ?

Exponential decay is a decrease in a quantity over time where the rate of decay is proportional to the current value. In this case, the value of the phone decreases by 3/5 each year after it is released. This means that the value after one year is 2/5 of the original value, and the value after two years is (2/5) times (2/5) of the original value. Exponential decay is a common phenomenon in many areas of science and mathematics, including radioactive decay, population growth and decay, and financial investments.

Calculating the worth of the phone :

The phone is not worth the same amount after 2 years, as it loses 3/5 of its value each year. We need to calculate its worth after 2 years.

Let's use the formula for exponential decay: \(A = A_0(1 - r)^t\), where A is the final amount, \(A_0\) is the initial amount, r is the decay rate, and t is the time elapsed.

In this case, the initial amount is $800, the decay rate is 3/5, and the time elapsed is 2 years. Substituting these values into the formula, we get:

\(A = 800(1 - 3/5)^2\)

\(A = 800(2/5)^2\)

\(A = 800(4/25)\)

\(A = 128\)

Therefore, the phone is worth $128 after 2 years, which is option C.

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Answer:

π 3.142?

Step-by-step explanation:

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

An alternative name for a combo is a choice. A combination is a choice made from a predetermined group of options. I won't organize anything here. They will be my choice. The number of distinct r selections or combinations from a set of n objects is indicated by the symbol \(^nC_{r}\).

There are eight participants in the focus group, including three software engineers, two nurses, one doctor, and two technicians.

So the 3 software engineers =3! ways, 2 nurses =2! ways,

doctor =1! way , 2 technicians =2! ways.

We must determine how many different configurations are possible so that no two pieces of software may coexist.

In order to prevent two software engineers from being seated next to each other, we first arrange five persons in a row with a space between them.

\(We get that in 6 places they can sit in ^6C_{3} ways\\ xi.e ^6C_3 = 20 (by formula of combination)\\ Therefore total ways are,6 X 2 X 1 X2 X 20 = 480.\)

Therefore, there are 480 different ways to arrange individuals in a row so that no two engineers sit together.

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