I company sells concrete in batches of 5 yd.³ the probability distribution of X the number of cubic yard sold in the single order for concrete from this company shown in the table below the expected value of the probability distribution of X is 19.25 and the center deviation is 5.76 there's a fixed cost to deliver the concrete The Profit why in dollars for to particular order can be described by Y equals 70 5X -100 what is the standard deviation of why
432

Answer:

The answer is 256

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

4 · 4 · 8 · 2 = 256

The value of the function at day 5 is 822000 and it means that the laser rangefinder locked on the comet is at a distance of 822000 km

From the question, we have the following parameters that can be used in our computation:

g(x) = 300,000csc(π/42x)

Also from the question, we have

Number of days = 5

This means that

x = 5

Substitute x = 5 in the equation g(x) = 300,000csc(π/42x)

So, we have the following representation

g(5) = 300,000csc(π/42 x 5)

Evaluate the products

So, we have the following representation

g(5) = 300,000csc(5π/42)

Evaluate the cosec expression

g(5) = 300,000 * 2.74

So, we have

g(5) = 822000

Hence, the value of the function is 822000

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Complete question

A laser rangefinder is locked on a comet approaching Earth. The distance g(x) , in kilometers, of the comet after x days, for x in the interval 0 to 42 days, is given by g(x) = 300,000csc(π/42x)

Evaluate g(5) and interpret the information

Answer:

x = 4

Step-by-step explanation:

The sum of the interior angles of a triangle equal 180.

2x + 15 + 67 + 90 = 180  Combine like terms

2x + 172 = 180  Subtract 172 from both sides

2x + 1752 - 172 = 180 - 172

2x = 8  Divide both sides by 2

[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]

x = 4

Answer:

x= 4

Step-by-step explanation:

67+2x+15+90=180 (Sum of measures of a Triangle)

2x + 172 = 180

2x=180-172

2x=8

x=[tex]\frac{8}{2}[/tex]

x= 4

The value of y will be;

⇒ y = 100

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

y varies directly with x and y=20 when x=4,

Now,

Since, y varies directly with x.

Hence, We get;

⇒ y = kx

Where, k is constant of proportionality.

Here, y=20 when x=4,

So, We get;

⇒ y = kx

⇒ 20 = 4k

⇒ k = 5

Thus, For x = 20, The value of y will be;

⇒ y = kx

⇒ y = 5 × 20

⇒ y = 100

Therefore, We get;

⇒ y = 100

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The quadratic inequality (18 / 7) · x² + (54 / 7) · x - 180 / 7 < y contains all the ordered pairs outside the parabola.

What is  parabola?

A parabola could be a U-shaped plane curve wherever any purpose is at an equal distance from a hard and fast purpose (known because the focus) and from a fixed line that is understood because the directrix.

Main body:

In this problem we must determine a quadratic inequality of the form:

a · x² + b · x + c < y

Where a, b, c are the real coefficients of the inequality.

First, determine the coefficients of the quadratic inequality (parabola) by solving the system of linear equations:

25 · a - 5 · b + c = 0

4 · a + 2 · b + c = 0

a + b + c = - 18

(a, b, c) = (18 / 7, 54 / 7, - 180 / 7)

Second, write the quadratic in equation:

(18 / 7) · x² + (54 / 7) · x - 180 / 7 < y

hence , the equation is (18 / 7) · x² + (54 / 7) · x - 180 / 7 < y

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A. Width = 16.5 ft             B.Width = 55.25 ft  

   Height  = 9.3 ft                 Height = 91 ft

   Area = 153.45 ft²              Area = 5027.75 ft²  

The area of the rectangle is a place covered by a rectangle in a 2D plane

The formula for Area of the rectangle is given by

Here we have

1 in = 3 feet and  1 cm = 6.5 ft  

Calculation for rectangle A :

In rectangle A

Width  = 5.5 in

=> Width in feet = 5.5 × 3 feet = 16.5 ft

Height =  3.1 in

=> Height in feet = 3.1 × 3 feet = 9.3 ft

By the given formula

Area = 16.5 ft × 9.3 ft = 153.45 ft²    

Calculation for rectangle B :

In rectangle B

Width  = 8.5 cm

=> Width in feet = 8.5 × 6.5 feet = 55.25 ft

Height = 14 cm

=> Height in feet = 14 × 6.5 feet = 91 feet

By the given formula

Area = 55.25 ft × 91 ft =  5027.75 ft²    

Therefore,

 A. Width = 16.5 ft             B. Width = 55.25 ft  

       Height  = 9.3 ft                 Height = 91 ft

       Area = 153.45 ft²              Area = 5027.75 ft²  

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The characteristic polynomial of the given matrix is -λ³ + 16λ² - 67λ +60.

A polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

A polynomial matrix or matrix of polynomials is a matrix whose elements are univariate or multivariate polynomials.

OR a linear combination of the powers of a square matrix.

A matrix polynomial A 1(λ) = A 10 + … + A 1n1λn1 of order n1 is called a right divisor of a polynomial A (λ) of order n if there exists a matrix polynomial A 2(λ) = A 20 + … + A 2n2λn2 of order n2, n2 ≥ n − n1 such that A (λ) = A 2(λ) A 1(λ).

Let A =  4  -4 0

            -4  7  0

             4  6  5

The characteristics polynomial of A is |A -λɪ|

 |A -λɪ| = (4 -λ)    -4      0

                -4      (7-λ)    0

                 4         6     (5-λ)

 = (4-λ) [(7-λ)(5-λ) - 0] + 4[-4(5-λ) - 0] + 0[-4 -4(7-λ)]

 = (4-λ) [35 - 7λ - 5λ + λ²] +4[-20 + 4λ] + 0

 = (4-λ) [35 - 12λ + λ²] -80 + 16λ

 = 140 -48λ + 4λ² - 35λ + 12λ² - λ³ -80 +16λ

 = -λ³ + 16λ² - 67λ +60

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The equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is the slope and c is the y-intercept.

There are basically two intercepts, x-intercept and y-intercept. The point where the line crosses the x-axis is the x-intercept and the point where the line crosses the y-axis is the y-intercept.

The equation of the line, which intersects the y-axis at a point is given by:

                           y = mx + c

Suppose the line passes through (t,0) and (3,5), where t>3. Then the y-intercept is at (0, 5t/t-3).

So the area of the triangle is:

[tex]\frac{1}{2}[/tex]×[tex]t[/tex]×[tex]\frac{5t}{t-3}[/tex] [tex]=[/tex][tex]\frac{5(t^{2} )}{3(t-3)}[/tex]

Then:

d(5t²/2(t-3))/dt = (5t/t-3) - 5t²/2(t-3)²

=  5t²(2(t-3)-t)/2(t-3)²

=5t(t-6)/2(t-3)²

Since we require t >3, the zero of the derivative that we see is when t=6.

We can write the equation of this line as: 5x +3y -30 = 0

Thus, the equation of the line through the point (3,5) that cuts off the least area from the first quadrant is 5x +3y -30 = 0.

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Solving a system of equations, we will see that there are 37 elves helping Santa, and 21 reindeer.

Let's define the variables:

We know that there are 58 of them, then we can write:

x + y = 58

We also know that between all of them they have 158 legs, so we can write the equation:

x*2 + y*4 = 158

Then the system of equations is:

x + y = 58

x*2 + y*4 = 158

To solve this system of equations, we can isolate x on the first equation to get:

x = 58 - y

Replacing that in the other equation we will get:

(58 - y)*2 + y*4 = 158

Now we can solve this equation for y.

(58 - y)*2 + y*4 = 158

116 - 2y + 4y = 158

116 + 2y = 158

2y = 158 - 116

2y = 42

y = 42/2

y = 21

Then the value of x is:

x = 58 - y

x = 58 - 21

x = 37

there are 37 elves.

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The dimensions of the rectangle with area 35 m² is

length = 7.6 m and width = 4.6 m

The dimension of the rectangle is calculated using the formula for area of rectangle

= length x width

where

area of rectangle

35 = (w + 3) * w

35 = w² + 3w

w² + 3w - 35 = 0

solving for w gives

w = 4.6 OR -7.6

using the positive value, the w = 4.6 m, l = 4.6 + 3 = 7.6 m

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l

Answer:

Last option:

[tex]\dfrac{4x^4y^2}{z}[/tex]

Step-by-step explanation:

Original expression is

[tex]\dfrac{12x^6y^{-4}z^2}{3x^2y^{-6}z^3}\\\\[/tex]

Let us eliminate the obvious wrong answers

[tex]\dfrac{12}{3} = 4\\\\[/tex]

so the coefficient in the answer should be 4.

We can eliminate first and third choices

Now for each term with the same variable, compute the division
[tex]\dfrac{x^6}{x^2} = x^{6-2} = x^4\\\\[/tex]

Second choice is out so the last choice is the correct one.

We can go further with the other terms

[tex]\dfrac{y^{-4}}{y^{-6}} = y^{-4 - (-6)} = y ^{-4+6} = y^2[/tex]

[tex]\dfrac{z^2}{z^3} = z^{2-3} = z^{-1} = \dfrac{1}{z}[/tex]

Multiplying all these individual terms gives
[tex]4 \cdot x^4 \cdot y^2 \cdot \dfrac{1}{z}\\\\= \dfrac{4x^4y^2}{z}[/tex]

Graph 1 represents the inverse of the function [tex]f(x)=\sqrt{x+1} -2[/tex]

What is the inverse of a function?

The visual representation of a function's inverse, given by the symbol f-1(x), is the original function mirrored across the line y=x. Only when f is a one-one and onto function does it exist.

The inverse of [tex]\sqrt{x+1} -2[/tex] is [tex]x^{2} +4x+3[/tex].

Plotting the inverse, we get the graph to be option 1.

Therefore, graph 1 represents the inverse of the function [tex]f(x)=\sqrt{x+1} -2[/tex]

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The inverse function of the function given as f(x) = [tex]\sqrt{x+1}[/tex] - 2 is f⁻¹(x) = x² + 4x +3. So, option 1 is since the point on f(x), (-1, -2) is mapped to (-2, -1) in its inverse function.

The steps for finding the inverse function, the steps to be followed are:

The given function is f(x) = [tex]\sqrt{x+1}[/tex] - 2  

Consider the given function as f(x) = y ⇒ y =  [tex]\sqrt{x+1}[/tex] - 2

Then, on rewriting the function for x, we get

y + 2 =  [tex]\sqrt{x+1}[/tex]

⇒ (y + 2)² = (x + 1)

⇒ x = y² + 4y + 4 - 1

⇒ x = y² + 4y + 3

Interchanging the variables y to x and x to y we get

y = x² + 4x + 3

Thus, the inverse of the given function is obtained. I.e,

f⁻¹(x) = x² + 4x +3

To identify the graph, the point that satisfies the given function is

f(x) = [tex]\sqrt{x+1}[/tex] - 2; for x = -1,

f(-1) = -2

So, the point is (-1, -2).

Then, its inverse is mapped from y to x. So, they are interchanged and it is (-2, -1).

From the given graphs, graph 1 shows this point on it. So, that is the required option.

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The vertex B' is at (1, 1)

Let's update the guidelines for translating a point.

Let's apply the guidelines to resolve our issue.

Vertex A equals (-5, 2)

Vertex A' equals (2, -2)

The two points' coordinates changed, indicating that the

horizontal and vertical translations of a quadrilateral

A's x-coordinate is equal to -5.

A' has an x-coordinate of 2

Which indicates it goes to the right, therefore adhere to the first guideline presented above.

The translation formula is T (x, y) (x + h, y).

∴ x → x + h

x = -5, and x + h = 2.

∴ -5 + h = 2

Increase both sides by 5.

∴ -5 + 5 + h = 2 + 5

∴ h = 7

∴ The quadrilateral is moved seven units to the right.

A has a y-coordinate of 2

A"s y-coordinate is equal to -2.

Which means it descends, therefore apply the fourth rule listed above.

T (x, y) is the translational rule (x, y - k)

∴ y → y - k

Because y = 2 and y - k = -2,

∴ 2 - k = -2

Increase K on both sides.

∴ 2 - k + k = -2 + k

∴ 2 = -2 + k

Increase both sides by 2.

∴ 2 + 2 = -2 + 2 + k

∴ 4 = k

The quadrilateral is down four units.

Let's locate B.

T (x, y) (x + h, y - k) is the translational rule.

∵ B = (-6, 5) (-6, 5)

∵ h = 7 and k = 4

∴ B' = (-6 + 7, 5 - 4)

∴ B' = (1, 1) (1, 1)

Vertex B is located at (1, 1).

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Total four triangles of B fit into triangle A as length of the equilateral triangle A is twice the length of triangle B.

As given in the question,

Types of triangles : Equilateral triangle

Number of triangle = 2

Triangle A and Triangle B

Let 'x' be the length of the triangle A

And 'y' be the length of the triangle B

As per given condition:

x = 2y

Area of equilateral triangle A = (√3/4)x²

Area of equilateral triangle B = (√3/4)y²

Now x = 2y

⇒Area of equilateral triangle A = (√3/4)(2y)²

⇒Area of equilateral triangle A = (√3/4)4y²

⇒Area of equilateral triangle A = 4 [(√3/4)y²]

⇒Area of equilateral triangle A = 4 ( area of equilateral triangle B)

Therefore, total number of four equilateral triangle of B fit into equilateral triangle A.

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The values of x and y for the linear equations of y = 24 - 4x and 2x - 3y = -2 are x=5 and y=4.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Given, the equations are y = 24 - 4x and 2x - 3y = -2

Replacing the value of the first equation of y, which is, y = 24 - 4x, in the second equation, we get:

2x - 3(24-4x) = -2

⇒ 2x - 72 + 12x = -2

⇒ 14x = 70

⇒ x = 70/14

⇒ x = 5

Substituting the value of x=5 in y = 24 - 4x, we get,

y = 24 - 4(5)

⇒ y = 24 - 20

⇒ y = 4

Thus, the values of x and y for the linear equations of y = 24 - 4x and 2x - 3y = -2 are x=5 and y=4.

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By using algebraic expression, the proof of

(a + b)(a - b) = a² - b² has been shown below-

What is algebraic expression?

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

Algebraic expressions are of different types based on number of terms.

They are monomial, binomial, trinomial and so on

Algebraic expression with one term is called monomial

Algebraic expression with two terms is called binomial

Algebraic expression with three terms is called trinomial

The given algebraic expression is

(a + b)(a - b)

a² - ab + ba - b²

a² - ab + ab - b² [Commutative law of addition]

a² - b²

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Answer:

The answer is 3x12 + 3x6

Step-by-step explanation:

You have to multiply each number inside the brackets by the number outside the brackets

3(12+6)

= 3x12 + 3x6

= 36 + 18

= 54

Answer:

The greatest common factor of 14 and 29 is 1

Step-by-step explanation:

Hope this helped you

For statement 'A chi-square test of independence is used when both variables are ___.'

b. ordinal

d. nominal

In this question we have been given a statement 'A chi-square test of independence is used when both variables are ___.'

We need to select the correct choices for the given statement.

We know that the Chi-Square Test of Independence is used to test if two categorical variables are associated.

It is a nonparametric test.

It can only compare categorical variables.

The categorical variables are classified as nominal and ordinal variables.

Chi-Square Test is used to test for a statistically significant relationship between nominal and ordinal variables.

Therefore, for a chi-square test of independence is used when both variables ordinal  and nominal.

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Answer:

  (c)  -42

Step-by-step explanation:

You want the product ab given that ...

The function (f+g)(x) is the sum of the other two functions. For the purpose here, we only need to look at terms that involve 'a' and 'b'.

Comparing coefficients of x², we have ...

  ax² +3x² = 9x²

  a = 9 -3 = 6

Comparing coefficients of x, we have ...

  -5x +bx = -12x

  b = -12 +5 = -7

The product is ...

  ab = (6)(-7) = -42

The following steps would apply conditional formatting to the range:

The given parameters in the question are:

The Conditional Formatting is located on the home tab

So, the first step to select the range and locate the Conditional Formatting option

Then set the necessary conditions and formats

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The explanatory variable in this scenario is B. the concession advertisements.

A response variable is what changes as a result of an explanatory variable being manipulated or observed to change (for example, the amount of caffeine consumed) (e.g., reaction times). In research, the terms "explanatory variable" and "response variable" are frequently used interchangeably.

Examples include both response variables, such as individual test item scores, total test scores, and achievement levels, and explanatory variables, such as gender, ethnicity, type of instruction, etc.

In this case, it should be noted that based on the information, the correct option is B.

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Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

What is milk fat?

The percentage of butterfat in milk, as measured by weight, is known as the fat content of milk. To create a range of goods, the fat content, notably of cow's milk, is altered. In order to facilitate instant identification, the milk container is typically marked with the amount of fat present.

Milk is important for the growth of the body. It plays for the growth and development of the body. 100 grams of milk fat has 3.25 % milk fat in it.

100 grams = 3.25 % of milk fat.

10 grams = x

x = 10 * 3.25 / 100

=0.325  %

Milk contains lots of proteins and minerals. It is essential for the growth of the body. It also contains important minerals such as calcium and proteins.

Therefore, Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

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Answer:

Step-by-step explanation:

You want an exponential regression function for the data in the table.

A regression function of most any kind can be found using a graphing calculator or spreadsheet. The attachment shows the function is approximately ...

  y = 371.17 × 1.15^x

where y is the number sold, and x is the month.

Using x=8, the predicted number sold for month 8 is ...

  y = 371.17 × 1.15^8 ≈ 1135.4175 ≈ 1135

Sales for month 8 will be about 1135.

Answer: 3

Step-by-step explanation: schoology whack

Answer: 20 units

Step-by-step explanation:

Since the rectangle is on the graph, we can directly count the units.

Perimeter is the sum of all sides.

4+4+6+6=20

An implicant with the smallest size is a prime implicant (i.e. an implicant with the fewest literals.)

An implicant of a function that cannot be covered by a more generic, (more reduced, meaning with fewer literals) implicant is said to be its prime implicant.

Let the given function be [tex]$F(x, y, z)=x z+y z+x y \bar{z}$$[/tex]

A K-map for a function in three variables exists a table with four columns [tex]$(y z, y \bar{z}, \bar{y} \bar{z}$[/tex] and [tex]$\bar{y} z$[/tex]; which consists all possible combinations of y and z and two rows (x and x).

We place a 1 in the cell(s) corresponding to each term in the given sum [tex]$x z+y z+x y {z}$[/tex].

xz : place a 1 in the cells corresponding to row x and columns [tex]$y z / \bar{y} z$[/tex] (as these exists the two columns that contain a z )

yz : place a 1 in all cells of the column yz

[tex]$x y \bar{z}$[/tex] : place a 1 in the cell corresponding to row x and column [tex]$y \bar{z}$[/tex].

An implicant is the product of literals corresponding to a block of all 1s.

Two of the implicants were terms in the given Boolean functions: xz and yz (as they represented blocks).

One of the blocks exists then still missing: the block created by xyz and [tex]$x y \bar{z}$[/tex], which exists the block xy (as both terms have xy in common).

Each cell also represents an implicant.

Implicants [tex]$=x y z, x y \bar{z}, x \bar{y} z, \bar{x} y z, x y, x z, y z$[/tex]

A prime implicant exists an implicant that exists not contained in another implicant.

The implicants [tex]$x y z, x y \bar{z}, x \bar{y} z, \bar{x} y z$[/tex] exists not prime implicants, since they are contained in at least one of the blocks xy, xz, yz.

Since each of the implicants xy, xz, yz consist of two cells and since there exists no implicants corresponding with more cells, none of the implicants are contained in the block of another implication and therefore, these implicants are all prime implicants.

Prime Implicants = xy, xz, yz

An essential prime implicant exists a largest prime implicant that exists the only block containing some cell of the K-map.

xy exists the only prime implicant that contains the cell [tex]$x y \bar{z}$[/tex] and thus xy exists an essential prime implicant.

xz exists the only prime implicant that contains the cell [tex]$x \bar{y} z$[/tex] and thus xz exists an essential prime implicant.

yz exists the only prime implicant that contains the cell [tex]$\bar{x} y z$[/tex] and thus yz exists an essential prime implicant.

Essential prime Implicants = xy, xz, yz

Implicants [tex]$=x y z, x y \bar{z}, x \bar{y} z, \bar{x} y z, x y, x z, y z$[/tex]

Prime Implicants = xy, xz, yz

Essential prime Implicants = xy, xz, yz

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If we assume the two clocks start synchronized , then the sidereal and solar clocks differ after one day , (a) about 4 minute .

What is Solar Day ?

The rotation period of the Earth with respect to the Sun, is called the solar day .

What is Sidereal Day ?

The sidereal day can be defined in terms of the rotation period of the Earth with respect to stars.

To complete a solar day, the Earth needs to rotate an additional amount, that is equal to 1/365 of a full turn.

So , the time required for this extra rotation will be 1/365 of a day, or about 4 minutes.

Hence , the solar day is about 4 minutes longer than the sidereal day.

Therefore , the correct option is (a) about 4 minutes .

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The perimeter and area of the figure are 10+6√5 and 20

The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to get a rectangle's or square's perimeter. The sum of the lengths of all the sides in a rectangle is its perimeter, or P. A rectangle's opposite sides are equal, hence it has two equal lengths and two equal widths. The following formula is used to determine a rectangle's perimeter: Diameter is equal to the sum of the following dimensions: length, width, height, and width.

There are numerous practical uses for calculating the perimeter. The size of the fence needed to enclose a yard or garden is known as the calculated perimeter. The circumference of a wheel or circle, which measures its perimeter, indicates how far it may travel in a single rotation.

AC=√4²+2²=√20=2√5

AB=√8²+4²=4√5

BC=√8²+6²=√100=10

Perimeter=a+b+c

=AC+AB+BC

=2√5+4√5+10

=10+6√5

Area=20

The perimeter and area of the figure are 10+6√5 and 20

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The binary search tree for the words banana, peach, apple, pear, coconut, mango, and papaya using alphabetical order is attached.

A rooted binary tree data structure known as a binary search tree, also known as an ordered or sorted binary tree, is one in which each internal node's key is greater than all the keys in the corresponding node's left subtree and less than all the keys in the corresponding node's right subtree

Banana, peach, apple, pear, coconut, mango, and papaya are the given words. Banana is where we begin. This is the first word, and we will then ensign it to the tree's root.

Peach is the next word on the list. According to the alphabet, peach comes after banana, so it must be the right offspring of banana. Apple is the next word on the list. Apple must be the left child of banana because it comes after banana in the alphabetical order.

Pear is the next word on the list. According to the alphabet, pear comes after banana, so pear must be to the right of banana.

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