Think About the Process Karen purchased a DVD player on sale. The orginal selling price was $179.30. The sale price was $154. 15. What is the first step in finding the percent markdown? Find the percent mandowen.

The probability that you exit the row from the front rather than the back is 1/2.

The probability is calculated by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are the possibility of something happening divided by the likelihood that it won't happen.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being expressed as percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

As x approaches 0, the denominator of the expression [(1/(x)−(1/x^(2)+x))] approaches infinity and the numerator approaches 0. Therefore, the expression approaches 0 as x approaches 0.

1. Evaluate the denominator of the expression [(1/(x)−(1/x^(2)+x))] as x approaches 0.

2. The denominator of the expression [(1/(x)−(1/x^(2)+x))] approaches infinity as x approaches 0.

3. Evaluate the numerator of the expression [(1/(x)−(1/x^(2)+x))] as x approaches 0.

4. The numerator of the expression [(1/(x)−(1/x^(2)+x))] approaches 0 as x approaches 0.

5. Therefore, the expression [(1/(x)−(1/x^(2)+x))] approaches 0 as x approaches 0.

Learn more about denominator at : https://brainly.com/question/7067665

#SPJ4

(a) The probability that there are no clients in the system is 0.3333

(b) The average number of customers waiting is 1.33

(c) The average number of customers in the system is 2

(d) The average time a customer spends waiting is 3.33 min

(e) The average time a customer spends in the system is 5 min

(f) The probability that arriving customers will have to wait for service is 0.6667.

Given that,

Customers of Willow Brook National Bank can conduct financial transactions at a drive-up teller window without getting out of their cars. On weekday mornings, the drive-up teller window receives 24 customers each hour, or 0.4 customers per minute, arriving at random.

Arrival rate λ = 24 customers per hour or 0.4 customers per minute

Service rate  μ​ = 36 customers per hour or 0.6 customers per minute

Utilizing the single-server drive-up bank teller operation previously mentioned, establish the following system operational characteristics:

(a) The probability that there are no clients in the system is

P₀ = 1 - λ /μ

= 1 - (24/36)

= 1/3

= 0.3333

(b) The average number of customers waiting

Lq = λ²/ [μ(μ - λ)]

= 242/[36×(36-24)]

= 1.33

(c) the average clientele using the system.

L = Lq + λ/μ  

= 1.33 + (24/36)

= 2

(d)the average length of time a consumer must wait.

Wq = λ/ [μ(μ - λ)]

= 24/[36×(36-24)]

= 0.0555 hr

= 3.33 min

(e) The average time a customer spends in the system

W = Wq + 1/μΧ

= 0.0555 + (1/36)

= 0.0833 hr

= 5 min

(f) the probability that clients who arrive will have to wait for service.

= 1 - P₀

= 1 - 0.3333

= 0.6667

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4

1)r = 18.2

2) Square root of 56 = 7.48

3)Square of -4.7 = 22.09

4) Square of 7.6 = 57.76

5)    -tz = l/r

6)    r = -2/5

Factoring

To include something when you are doing a calculation, or when you are trying to understand something: People are earning more, but when inflation is factored in, they are no better off.

1) r=6r-91 (Factoring)

   r-6r = - 91

   -5r = -91

      r = 91/5

      r = 18.2

Square Root

Square root, in mathematics, a factor of a number that, when multiplied by itself, gives the original number. For example, both 3 and –3 are square roots of 9.

2) -2r" -146 = -34 (Square Roots}

- 2r’’ = -34 + 146

- 2r’’ = 112

-r’’ = 112/2

-r’’= 56

r’’ = - 56

Square root of 56 = 7.48

3) r-14r-53 = 9 (Completing the Square)

          - 13r = 9+53

          - 13r = 62

                  - r = 62/13

            r = - 4.7

   Square of -4.7 = 22.09

4) 3r*+6r-62 =7 (Completing the Square)

9r = 7+62

r = 69/9

r = 7.6

Square of 7.6 = 57.76

5)  -rtZr=l (Quadratic Formula)

    - r(tz) = l

    - tz = l/r

6) 5r =-2 (Quadratic Formula)

      r = -2/5

To learn more about Factor and Square Root visit:

brainly.com/question/26062992

#SPJ4

Answer:

Step-by-step explanation:

Assuming that you mean x² + 5x + 6

the factors are (x + 2) and (x + 3).

Answer:

height = 5 m

Step-by-step explanation:

the volume (V) of a cuboid ( shape of room ) is calculated as

V = A h ( A is the area of the base and h the height )

here V = 235 and A = 47 , then

47h = 235 ( divide both sides by 47 )

h = 5 m

Answer:

volume= height * length * breadth = 235

area= length * breadth = 47

Step-by-step explanation:

47*height= 235

height=5sq

The running area does the dog have is 943 square foot.

What is area of section of a circle?

A segment is essentially the area of a circle between the chord and the arc. A circle is a path that a point equidistant from a single point on the plane can follow; this point is known as the circle's center, and the distance between it and that point is known as the circle's radius. A segment is a section of a circle's interior. A sector is the region that a segment encloses and the angle that a segment occupies. By deducting the triangle produced inside the sector from the sector that contains the segment, one can calculate the area of a circular segment.

The area of a section that made by a circle is ∏ r² × (θ/360).

Given that the radius of the circle is 20 ft.

The angle between two consecutive side of a rectangle is 90⁰.

The angle that made the running area by dog = (360⁰ - 90⁰) = 270⁰.

The area is ∏× 20² × (270⁰/360⁰) = 942.85 square foot

The nearest square foot value of 942.85 square foot is 943 square foot.

To learn more about area of circle, click on below link:

https://brainly.com/question/1355837

#SPJ1

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

[tex]\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}[/tex]

Now, differentiate P with respect to x, and we get,

[tex]\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}[/tex]

Solving the above equation to zero, we get,

[tex]\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}[/tex]

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

[tex]\begin{aligned}y&=108-36\\y&=72\end{aligned}[/tex]

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

https://brainly.com/question/1635103

#SPJ4

p < 0.10, there is sufficient evidence to conclude that the machines' maker should perform a recalibration.

In this question we have,

The population mean μ = 1.00

The sample size n = 49

The sample mean X = 1.06

The standard deviation σ = 0.22cm

The significance level α = 0.10

So, the hypothesis is:

The null hypothesis: H0: μ = 1

The alternative hypothesis: Ha: μ ≠ 1

Thus, the test statistic value is,

z = (X - μ)/(σ/√n)

= (1.06 - 1)/(0.22/√49)

= 0.06 / 0.03142

= 1.91

So, for z = 1.91, the p-value is 0.028067.

The provided significance level of 0.10 is not met by the p-value of (0.028067).

Therefore, there is enough evidence to support the claim that the machines' manufacturer needs to recalibrate them.

Learn more about significance level here:

brainly.com/question/28041970

#SPJ4

The time that is needed to complete the pending work is 211.2 minutes.

To calculate the percentage, divide the value by the total value and then multiply the resultant by 100.

If the amount of work is 52%.

100% - 52% = 48%

The total minutes that are required is 440 minutes.

you have 48% of the 440 minutes left to work.

48% / 100 = .48 * 440 =211.2

Therefore, the time that is needed to complete the pending work is 211.2 minutes.

To learn more about percentage check the link below:

https://brainly.com/question/24877689

#SPJ4

The equation in standard form for the circle will be;

⇒ (x + 2)² + (y - 9)² = 1

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle that has a diameter with endpoints (-2,10) and (-2,8).

Now,

Since, The circle that has a diameter with endpoints (-2,10) and (-2,8).

Hence, The radius of circle is the half of the distance between two points of the diameter.

So, Radius = 1/2 (√ (8 - 10)² + (- 2 - (-2))²

                 = 1/2 √4

                = 1/2 × 2

                 = 1

Thus, Radius (r) of circle = 1

And, The center of circle is midpoint of the endpoints of the diameter.

Hence, Centre = (- 2 + (-2))/2, (10 + 8)/2

                       = - 4/2 , 18/2

                       = (- 2, 9)

Hence, The equation of circle with center (-2, 9) and radius 1 is;

⇒ (x - (-2))² + (y - 9) = 1²

⇒ (x + 2)² + (y - 9)² = 1

Thus, The equation in standard form for the circle will be;

⇒ (x + 2)² + (y - 9)² = 1

Learn more about the circle visit:

https://brainly.com/question/1294687

#SPJ1

Answer: B, D, E (2^-1; subtract exponents)

Step-by-step explanation:

B > 1/2 = 2^-1

D > 2^-1 = 2^-1

E > Add exponents 2 + -5 = -1

Answer:

6300 ft

Step-by-step explanation:

Answer:

The volume of Raj's classroom would be 6,300 cubic feet which is the multiplication of the floor area and the height of the room.

What is the volume of the cuboid?

The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.

The volume of a cuboid is length × breadth× height

Raj's classroom floor area measures 525 square feet. The ceiling height of the room is 12 feet.

The volume of Raj's classroom is the multiplication of the floor area and the height of the room.

The volume of Raj's classroom = the floor area × the height of the room

The volume of Raj's classroom = 525 × 12

The volume of Raj's classroom = 6,300 cubic feets

Thus, the volume of Raj's classroom would be 6,300 cubic feet.

The volume of both prisms is B. 105.34 cubic units

The volume of a prism is given by V = lwh where

Given the diagram If

The volume of the top prism is V = lwh where

Given that

So, V = abd

Also, the volume of the bottom prism is V' = lwh where

Given that

So, V' = a²c

So, the volume of the two prisms is V" = V + V'

= abd + a²c

= a(bd + ac)

Substituting the values of the variables into the equation, we have

V" = a(bd + ac)

= 2.3(4 × 8 + 2.3 × 6)

= 2.3(32 + 13.8)

= 2.3(45.8)

= 105.34 cubic units

So, the volume is B. 105.34 cubic units

Learn more about volume of prism here:

https://brainly.com/question/27891949

#SPJ1

Answer:

A

Step-by-step explanation:

Plug in -15/4 in your calculator and you will see that it is equal to [tex]\frac{1}{\sqrt{8} }[/tex]

0.35355339059

a)The probability that the next household on the list will be contacted but will refuse to cooperate will be 0.38

b)The probability of failing to contact a household or of contacting the household but  will refuse to cooperate is  0.62.

We are given the information that interviewers can reach about 76% of U.S. households, the percentage of those contacted who agree to cooperate with the survey fell from 58% in 1997 to only 38% in 2003.  To calculate these probabilities, we use the cooperation rate from 2003. Since the cooperation rate is 38%, this means that 38% of the people will cooperate and 62% will not cooperate. Therefore, the probability of the next household on the list not cooperating is 0.62 and the probability of the next household on the list cooperating is 0.38.

To know more about probability refer to the link brainly.com/question/11234923

#SPJ4

As mentioned in the chapter, opinion-polling organizations contact their respondents by sampling random telephone numbers. Although interviewers can reach about 76% of U.S. households, the percentage of those contacted who agree to cooperate with the survey fell from 58% in 1997 to only 38% in 2003. Each household, of course, is independent of the others. Using the cooperation rate from 2003, a) what is the probability that the next household on the list will be contacted but will refuse to cooperate? b) what is the probability of failing to contact a house hold or of contacting the household but will refuse to cooperate

Answer:

Step-by-step explanation:

(X+1) is the factor of the polynomial P(X) = (X³+4X+5)

Factorization is a method of expanding an equation or polynomial that help us to understand an equation properly. In order to factoring, we need to rewrite a polynomial in expanding form. In this method, we divide the polynomial into a product of its factor.

We are given a polynomial P(X) = X³+4X+5

 It is a 3-degree polynomial and in order to factoring we need to expand first.

- by expanding X³+X²-X²-X+5X+5

now factoring, X²(X+1) - X(X+1) + 5(X+1)

              (X+1) (X²-X+5)

hence, (X+1) is the factor of the polynomial.

To learn more about factor of polynomial visit:

https://brainly.com/question/26354419

#SPJ4

After solving for x, the value of x in the given equation is 1/5 or 0.2

A simple equation represents a relationship between two terms on either side of an equal sign.

Simple equations also follow one or a mixture of the four mathematical operations of addition, subtraction, multiplication and division.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

So, we have the equation:

(5x+7)=8

Now, solve the equation for x as follows:
(5x+7)=8

5x+7=8

5x = 8 - 7

5x = 1

x = 1/5 or x = 0.2

Therefore, after solving for x, the value of x in the given equation is 1/5 or 0.2

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Correct question:
Solve in(5x+7)=8 rounds to the nearest thousandth

We can factor this polynomial with 4 terms without grouping.

Factor is a thing that influence decision or the situation.

How to factor polynomials with 4 term without groupingLet P(x) be a polynomial with four terms.

To factor P(x) without grouping, substitute

x = -1, 1, -2, 2, -3, 3.......

P(-1) = 0 ----> (x + 1) is a factor of P(x)

P(1) = 0 ----> (x - 1) is a factor of P(x)

P(-2) = 0 ----> (x + 2) is a factor of P(x)

P(2) = 0 ----> (x - 2) is a factor of P(x)

If P(-1) ≠ 0, then (x + 1) is not a factor of P(x).

Then, try x = 1, x = -2, x = 2 and so on.

Once one of the linear factors of P(x) is found, the other factors can bound easily (the rest of the process has been explained in the following examples).

Factor the following polynomials without grouping :

d as (x2 + ax + b).

Then,

(x + 1)((x2 + ax + b) = x3 - 2x2 - x + 2

Comparing the coefficients of x and constants,

b + a = -1 ----(1)

b = 2

Substitute b = 2 in (1).

2 + a = -1

a = -3

x2 + ax + b = x2 - 3x + 2

Factors of (x2 - 3x + 2) are (x - 1) and (x - 2).

Therefore,

x3 - 2x2 - x + 2 = (x + 1)(x - 1)(x - 2)

To know more about factor click-

brainly.com/question/25829061

#SPJ1

Definition of octagon-

In geometry, an octagon is a polygon with 8 sides and 8 corners. So an octagon has 8

vertices and 8 sides. Simply put, an octagon is an eight-sided polygon, also called an octagon.

we know that,

An Apothem is a line segment from the center to the midpoint of one of the sides. You can start by dividing the octagon into 8 smaller triangles. The area of each triangle is

Side into apothem

3 x 3.5 feet = 10.5

then

10.5×8=84

84 is the total area of an octagon.

To know more about octagon, visit

https://brainly.com/question/3108976

#SPJ1

Answer:

A = 5

B = 9

C = 3

D = 4

Step-by-step explanation:

A = 3+ 2 = 5

B = 5 + 4 = 9

C = 1 + 3 = 3

D = 3 + 1 = 4

If you can, please give me a Brainliest; thank you, and have a good day!

lllhl and hllll are considered different series, despite the lakers winning in 4 games in both series.The total number of possible different series is 70.

A collection of similar items or occasions occurring in close proximity to one another over time or space. a series of concerts. The corridor led to a string of compact rooms. a group of often broadcast television shows, each of which stands alone as a complete program. the shown sum of a typically endless series of...

Sequence and series types

arithmetic progressions

Sequences in geometry.

Harmonic patterns.

a fibonacci sequence.

We have to clculate nuber of series in which lakers win:

if lakers win the champion ship they must win the last game played

if there are n games played, the lakers must win the nth game and 3 games before the nth game.

since the outcome of the nth game is fixed

lakers can win 3 games out of the first n-1 in (n-1C3) ways .

if n games are played lakers can win the championship in  (n-1C3) ways  

n can vary from 4 to 7

no of series in which lakers can win =(3C3)+(4C3)+(5C3)+(6C3)=35

The total number of possible different series =2x25= 70.

To learn more about series visit the link:

https://brainly.com/question/15415793

#SPJ4

Answer: (y,x)

Step-by-step explanation:

smth like that and it is the y-axis and x-axis

The distance falls by the object in 3 seconds is 88.2 meters

The distance that an object falls when it is dropped is directly proportional to the square of the amount of time

Consider the distance as d and the time as t

Then the relationship will be

d ∝ t^2

d = kt^2

The distance falls in 2 seconds = 39.2 meters

Substitute the values in the equation

39.2 = k × 2^2

39.2 = 4k

k = 39.2 /4

k = 9.8

When the time = 3 seconds

The distance = 9.8 × 3^2

= 9.8 × 9

= 88.2 meters

Therefore, the object fall 88.2 meters in 3 seconds

Learn more about distance here

brainly.com/question/18798899

#SPJ4

The approximation for the function g(4.2) is 12.44

From the table, we know that g'(4) = 2.2

g (4) = 12

Using the line tangent to the graph of g at x=4 ,

g (4.2)  = g (4 ) + (4.2 -4 )2.2

           = 12 + 0.44

           = 12.44

The approximation for the function g(4.2) is 12.44. So ,option A is correct.

To learn more about tangent, refer:

https://brainly.com/question/4470346

#SPJ4

The total amount of the monthly payments and the finance charge is 144.

Instalment is one of the regular payments that anyone can  make for anything until you have fully paid that full amount.

Using the appropriate interest relation, the solution to the problems posed are :

Down payment = 0.05k

144 monthly payments

Total monthly payment made = 144g

Down payment :

5% of total cost

Total cost = k

5% × k = 0.05k

B.)

Number of monthly payments :

Number of months per year = 12

Number of years = 12

Number of monthly payments = 12 × 12 = 144

C.)

Total charge :

Monthly payment = $g

Number of monthly payments × amount paid

g × 144 = 144g

To know more about instalment click-

https://brainly.com/question/16032019

#SPJ1

The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930

In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,

And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.

While we looking into the given question, we have identified the value of

Strictness level = 50

Available hospital = 55

New cases per day = 100,000

Then the expected number is calculated by using the multiple regression model is written as,

=> 50x + 55y ≤ 100,000

When we solve it graphically, then we get, the graph like the following,

As per the given graph, the expected number is 930.

To know more about Regression here

https://brainly.com/question/14184702

#SPJ4

In the above condition of positive correlation, the higher a person scores on involvement, the higher they tend to score on life satisfaction. Therefore, the option B holds true.

Positive correlation can be referred to or considered as the correlation, wherein the relationship between two or more elements, that are taken into consideration, is direct. The direct relationship means that the movement of a change in one element leads to an equal movement in the other. Positive correlation also states about the measure of life satisfaction in the above condition.

Learn more about positive correlation here:

https://brainly.com/question/27886995

#SPJ4

Complete question

A researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. How should we interpret the relationship between these variables?

A) There is no relationship between involvement and life satisfaction.

B) The higher a person scores on involvement, the higher they tend to score on life satisfaction.

C) The higher a person scores on involvement, the lower they tend to score on life satisfaction.

D) Involvement and life satisfaction are probably the same variable