The fact that the tails of a normal distribution never touch the horizontal axis relates to ______ property.

Answer:

8^3

Step-by-step explanation:

there are three 8s soo all u do is count the number and then how many of that same number you can put into an exponent

In linear equations x = 3,664 books are the production costs will equal the money from sales .

What is a formula for linear equations?

fixed cost = $32,060

variable cost = $12.75

here cost function

c(x) = fixed cost  +  x( variable cost )

c(x) =  $32,060  +   x($12.75)   ................. 1

now revenue function

R(X) = (Selling price ).x

r(x) =   ( 21.50)x   .............2

where production cost is wqual to selling

              c (X)      = r (x)

   32,0 60  +   x($12.75)  =  ( 21.50)x

        32,060 =  ( 21.50)x  - (12.75)x

         32,060 =  8.75 x

             x = 3,664 books

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The cost of the carpet will be $983.33

From the question, we are to calculate how much the carpet will cost

From the given information,

The carpet has a length of 20 feet

and a width of 15 feet

First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

Thus,

20 feet = 20/3 yards

and

15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

Area of the carpet = 20/3 × 5 square yard

Area of the carpet = 33.33 square yard

Now, we have that

The carpet costs $29.50 per square yard

∴ The cost of the carpet = 20/3 × 5 × $29.50

The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

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Answer: 2x+9>17 or  5x+10<10 compound inequalities is x<0

Step-by-step explanation:

What is Meant by Compound Inequality?

In Mathematics, a compound inequality is a sentence which has two statements connected using the word “and” or by the word “or”. If the statements are connected using the word “and”, then both the statements of the compound sentence are true at the same time. If the statements are connected using “or”, then the compound sentence is true if at least one statement is true.

2x+9>17 or  5x+10<10

Let take 2x+9>17

Subtract -9 on both sides

2x+9-9>17-9

2x+0>8

2x>8

Now we need to divide by 2 both sides

2x÷2>8÷2

x>4

Now we solve 5x+10<10

we need to subtract -10 on both side

5x+10-10<10-10

5x+0<0

5x<0

Now we need to divide  5 on both sides

5x÷5<0÷5

x<0

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0<x>4

the value of x lies between 0 and 4.

A compound inequality is an inequality that combines two simple inequalities. A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.

lets take 2x+9>17

now lets subtract 9 from both sides.

2x + 9 > 17

     - 9 > -9

2x > 8

now divide both sides by 2

2x ÷ 2 > 8 ÷ 2

x > 4

lets take the second part i.e 5x +10 <10

substract 10 from both sides

5x + 10 < 10

     - 10 < -10

5x < 0

now divide both sides by 5

5x ÷ 5< 0 ÷ 5

x < 0

0<x>4

the value of x lies between 0 and 4.

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Answer:  He can make 9 hamburgers.

Step-by-step explanation:

one  hamburger can be made by 1/3 of beef,

so according to ratio and proportions ,

1 beef can make 3  hamburgers,

hence 3 pound of beef can be used to make

=3*3

=9  hamburgers

hence,

He can make 9 hamburgers.

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Answer:1

Step-by-step explanation: firstly , divide 3 by 1\3  then 3÷1\3=1

Answer: c=6, d=-6

Step-by-step explanation:

c+12d=-66

-4c+3d=-42

(-4c+3d=-42)*4

-16c+12d=-168      ==> subtract this

c+12d=-66           ==> by this

-17c=-168-(-66)       ==> subtract the top two equations

-17c=-168+66

-17c=-102

c=6

c+12d=-66

6+12d=-66

12d=-72

d=-6

The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = [tex]side^2[/tex]

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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when drawing a line use arrows to show that the line continues endlessly in both directions.

The expected value for your profit is 2.53.

The probability is the number that indicates the likelihood that an event will occur and is defined as the ratio of favorable outcomes to all outcomes.

Given,

You can solve for the necessary anticipated value below.

There will be 600 tickets available for purchase overall.

So,

$ 5 each and sell go tickets

one $3,000 grand prize = ( 1/600) × 3000

two $500 second prizes = (2/600) × 500

thirteen $40 third prizes = (13/600) × 40

Any discrete variable X's anticipated value is calculated as:

E(x) = ( 1/600) × 3000 + (2/600) × 500 + (13/600) × 40 + (600-1-2-13/600).0-5

E(x) = 2.53

The expected value for your profit is  2.53.

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Answer:

  The given point satisfies both equations of a line, hence is common to the two lines.

Step-by-step explanation:

Given two lines, one joining the points (6,-7,0) to (16,-19,-4), and the other joining the points (0,3,-6) to (2,-5,10), you want to show that the point (1, -1, 2) is common to those lines.

The equation of a line through points (x1, y1, z1) and (x2, y2, z2) can be written:

  (x -x1)/(x2 -x1) = (y -y1)/(y2 -y1) = (z -z1)/(z2 -z1)

For the first pair of points, the equation of the line is ...

  (x -6)/(16 -6) = (y +7)/(-19 +7) = (z -0)/(-4 -0)

  (x -6)/10 = -(y +7)/12 = -z/4 . . . . . line 1

For the second pair of points, the equation of the line is ...

  (x -0)/(2 -0) = (y -3)/(-5 -3) = (z +6)/(10 +6)

  x/2 = -(y -3)/8 = (z +6)/16 . . . . . line 2

If the given point is on each of these lines, then it will satisfy each of the equations.

Line 1: (1 -6)/10 = -(-1 +7)/12 = -2/4   ⇒   -5/10 = -6/12 = -2/4 . . . true

The given point is on Line 1.

Line 2: (1)/2 = -(-1-3)/8 = (2+6)/16   ⇒   1/2 = 4/8 = 8/16 . . . true

The given point is on Line 2.

The given point is common to both lines.

__

Alternate solution

For points A and B and parameter p, we can write the parameterized equation of each line as ...

  (x, y, z) = A +p(B -A)

Using parameters t and s for the two lines, we get ...

  Line 1: (x, y, z) = (6, -7, 0) +t(16 -6, -19 +7, -4 -0) = (6 +10t, -7 -12t, 0 -4t)

  Line 2: (x, y, z) = (0, 3, -6) +s(2 -0, -5 -3, 10 +6) = (0 +2s, 3 -8s, -6 +16s)

A common point will be found where (x, y, z) for some value of t matches (x, y, z) for some value of s. We can find those values of s and t by solving simultaneous equations for any pair of the variables (x, y, z). The equations are ...

By any of your favorite methods, these equations have the solution (t, s) = (-0.5, 0.5). The point the lines have in common is ...

  (6 +10(-0.5), -7 -12(-0.5), 0 -4(-0.5)) = (6 -5, -7 +6, 2) = (1, -1, 2)

The common point to the two lines is (1, -1, 2).

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

g(4) is -17.

The device numbers should be less than 18.

Given, internet service provider is charging a rate of $175 per month.

The new plan would charge $94 plus an additional $4.50 per device connected to the network.

we need to find the number of devices for which the cost of the new plan is less than the cost of the current plan.

old plan = $175

New plan = $94 plus $4.50 per device

let us suppose 'x' devices can be connected.

so, 94 ₊ 4.5x < 175

4.5x < 175 ₋ 94

4.5x < 81

x < 81/4.5

x < 18

less than 18.

Hence there should be less than 18 devices connected for the new plan.

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Answer: D (the bottom right)

Step-by-step explanation: The first problem stated is that Niki scored 20 points (positive) so you would point the arrow directed positively. Then she lost 10 points, which would be negative so the direction of the arrow would point back to a positive 10. Then lost another 25 points, leading to -15 (10+(-25)= -15

3/8 pints of milk will fill an empty mug of the same size.

In this question, we have been given Pia poured 1/4 pint of milk into an empty mug.

The milk filled 2/3 of the mug.

We need to find the pints of milk that will fill an empty mug of the same size.

Let 'm' pints of milk will fill an empty mug of the same size.

From given data, we get proportion.

⇒ (1/4) / (2/3) = m / 1

We simplify above equation to find the value of m.

⇒ (2/3) m = 1/4

⇒ m = (1/4) × (3/2)

⇒ m = 3/8

Therefore, 3/8 pints of milk will fill an empty mug of the same size.

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The area enclosed by the ellipse [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] is 60 square units.

The general form of the equation of ellipse is  [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Given the equation of ellipse is,  [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex]

⇒ [tex]\frac{x^2}{2^2}+\frac{y^2}{9^2}=1[/tex]

That is, a = 2 and b = 9

Now,  [tex]\frac{y^2}{9^2} = 1 -\frac{x^2}{2^2}[/tex]

⇒ [tex]y=\frac{9}{2} \sqrt{4-x^2}[/tex]

Area enclosed by the ellipse = 4 x Area of ellipse in the first quadrant

Therefore, Area of ellipse in the first quadrant, A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-x^2}} \, dx[/tex]

Using Substitution ,x = 2cosθ, then dx = -2sinθdθ and x = 0⇒ θ = π/2 and x = 2⇒ θ = 0

A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-4cos^2\theta}} \, dx[/tex]

  = [tex]\int\limits^2_0{\frac{9}{2}\times2 \sqrt{1-cos^2\theta}} \, dx[/tex]

  = [tex]\int\limits^2_0{9 sin^2\theta} \, dx[/tex]

 = [tex]\int\limits^0_\frac{\pi}{2} {9 sin^2\theta} (-2sinx)\, d\theta[/tex]

  = [tex]\int\limits^\frac{\pi}{2} _0{18 sin^3\theta} \, d\theta[/tex]

  = [tex]\int\limits^\frac{\pi}{2} _0{18 (\frac{3sin\theta-sin3\theta}{4} )} \, d\theta[/tex]

  = [tex]\frac{9}{2} \int\limits^\frac{\pi}{2} _b {3sin\theta} \, d\theta -\frac{9}{2} \int\limits^\frac{\pi}{2} _0 {sin3\theta} \, d\theta[/tex]

  = 27/2 x (-cosθ) - 9/6 x (-cos3θ) |  θ = 0 to  θ =  π/2

  = 15 square units.

Therefore, the area enclosed by ellipse  [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] = 4 x A = 4 x 15 = 60 square units.

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The numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.

It should be noted that even numbers can be divided by 2.

The multiple of 3 in the numbers are 12 and 18 that can be divided by 2 as well.

Therefore, the numbers in Set A = {5, 9, 12, 14, 18} that are elements of both Set B and Set C, shown below Set B = {even numbers} Set C = {multiples of 3} will be 12 and 18.

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If you had to drive for more than 300 miles for the first day you need to stop for gas fill up.

Unitary method is a mathematical tool for finding the value of single unit then deriving the given units according to the question.

According to the given question your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon.

Given that you never want to run out of gas to not face this issue you always keep 1 gallon of gas in the tank.

So when you fill your tank completely you fill for 12 gallons of gas because 1 gallon is already there.

Also given that the car can go 25 miles per gallon.

So, for 12 gallons of gas you can go (25 × 12 ) miles which is

= 300 miles.

If you had to drive for more than 300 miles then you need to stop for gas in first day's drive.

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Heidi has to walk her bike for (1/8) mile to complete the loop.

Given that:-

Total distance of the loop = 7/8 mile

Distance Heidi rode on her bike before she stopped for rest = 1/2 mile

Distance Heidi rode on her bike after taking the rest = 1/4 mile.

We have to find the distance Heidi has to to walk to complete the loop because she had a flat tire.

Let the distance Heidi has to to walk to complete the loop because she had a flat tire is x miles.

We know that,

Total distance of the loop = Distance Heidi rode on her bike before she stopped for rest + Distance Heidi rode on her bike after taking the rest + distance Heidi has to to walk to complete the loop because she had a flat tire.

Hence, by adding the fractions, we get

7/8 = 1/2 + 1/4 + x

7/8 = (2+1)/4 + x

7/8 = 3/4 + x

7/8 - 3/4 = x

7/8 - 6/8 = x

1/8 mile = x

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The letter A is not drawn to scale in the sketch below. construct ABC next to its below-listed sketch The amount of force applied over a specific distance is referred to as work. Since the problem already specifies the force's value and the length of the distance it is exerted across, the quantity of labor completed requires multiplying these two numbers. As demonstrated below:

work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.

Work: Force times Distance

Work = 250 J x 50 N * 5 m

Work = 250 J

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Part A: The student was supposed to divide before subtracting

Part B: The student was supposed to simplify the parentheses before finding the exponents

Part C: The simplification of the expression gives -16.

From the question, we are to simplify the given expression

The given expression is

(∛64 - 16 ÷ 2)(2 - 4)²

Part A:

The mistake the student made was not applying the PEMDAS rule

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Since division comes before subtraction, the student was supposed to divide before subtracting

Part B:

The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.

Part C:

Simplifying the expression

(∛64 - 16 ÷ 2)(2 - 4)²

Simplify the cube root

(4 - 16 ÷ 2)(2 - 4)²

Divide

(4 - 8)(2 - 4)²

Simplify the parenthesis

(-4)(-2)²

Simplify the exponent

(-4)(4)

Evaluating

-16

Hence, the simplification of the expression gives -16.

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Answer: kinda

Step-by-step explanation:

as long as you have a passing grade you will be fine, just work on the "F" :)

Linear equation: a, b, c, and r are real numbers (and if a, b, and c are not all equal to 0)

then ax + by + cz = r is called a linear equation in three variables. (The

“three variables” are the x, the y, and the z.)

The numbers a, b, and c are called the coefficient of the equation. The

number r is called the constant of the equation

y(a-b)=c(y+a)

ya-yb=cy+ca

ya-yb-cy=ca

y(a-b-c)=ca

[tex]y=\frac{ca}{a-b-c}[/tex]

case 1:

if either C and a are zero the y is zero,

case 2:

if

[tex]c\neq 0 \\a\neq 0\\y\neq 0[/tex]

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

Explanation:

To find the inverse, we swap x and y, then solve for y.

y = 2x-3

x = 2y-3

x+3 = 2y

2y = x+3

y = (x+3)/2

y = x/2 + 3/2

y = (1/2)x + 3/2

This shows the original function y = 2x-3 leads to the inverse y = (1/2)x+3/2, and vice versa.

--------------

Another approach:

Since we're given a list of multiple choice answers, we can rule out the non-answers.

Plug x = 0 into the first equation of choice A. It leads to y = 2

That output 2 is then plugged into the second equation for choice A. It leads to y = 13/2. We do not get the original input 0, which shows that the equations in choice A do not undo one another. They aren't inverses of each other.

This allows us to rule out choice A. Choices B and C are similar stories.

Notice that plugging x = 0 into the first equation of choice D leads to the output y = -3. Then plug this as the input into y = (1/2)x+3/2 and you should get y = 0 to get us back where we started. This partially helps confirm we have a pair of functions that are inverses of each other. I'll let you try other values.

Answer:

Step-by-step explanation:

Algorithm for deriving the formula of the inverse function

Step 1. In the formula for the original function, replace the notation of the argument and the value:

Step 2. From the resulting formula, express y(x).

Step 3. Take into account the constraints on the area of definition and the area of values of the original and/or inverse functions.

[tex]\displaystyle\\ y=\frac{1}{2}x+2\\\\ 1.\ x=\frac{1}{2}y+2\\ \Rightarrow\ x-2=\frac{1}{2}y \\2.\ Multiply\ both\ parts\ of\ the\ equation\ by\ 2:\\\\2(x-2)=y\\\\2x-4=y\\Thus,\\y=2x-4\neq 3x+\frac{1}{2} \\Answer:\ no\\\\2.\ y=5(x-2)\\\\1.\ x=5(y-2)\\\\2.\ Divide\ both\ parts\ of\ the\ equation \ by\ 5:\\\\\frac{x}{5} =y-2\\\\\Rightarrow\ \frac{x}{5}+2=y \\Thus,\\\\y=\frac{x}{5}+2 \neq \frac{1}{5}(x+2)\\ Answer:\ no[/tex]

[tex]y=2x-3\\1.\ x=2y-3\\\\2,\ x+3=2x\\\\Divide\ both\ parts\ of\ the \ equation\ by \ 2:\\\\\frac{1}{2}(x+3)=y\\\\ Thus,\\\\y=\frac{1}{2}x+\frac{3}{2} \equiv\frac{1}{2}x+\frac{3}{2} \\\\Answer:\ yes[/tex]

The number added to the numerator and the denominator is 2/3.

It is given in the question that when the same number is added to the numerator and denominator of fraction 5/7, the result is 17/23.

We have to find the number added to the numerator and the denominator.

Let the number be x.

Hence, according to the data given in the question, we get,

(5 + x)/(7 + x) = 17/23

By cross - multiplication, we get

23(5 + x) = 17 (7 + x)

Opening the bracket according to the distributive property of addition and multiplication, we get,

115 + 23x = 119 + 17x

23x - 17x = 119 - 115

6x = 4

x = 4/6

x = 2/3

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Answer:

15

Step-by-step explanation:

105/7

15

Hope It Helps