A certain market has both an express checkout line and a superexpress checkout line. Let X1 denote the number of customers in line at the express checkout at a particular time of day, and let X2 denote the number of customers in line at the superexpress checkout at the same time. Suppose the joint pmf of X1 and X2 is as given in the accompanying table. (a) What is P(X1 = 1, X2 = 1), that is, the probability that there is exactly one customer in each line? P(X1 = 1, X2 = 1) = (b) What is P(X1 = X2), that is, the probability that the numbers of customers in the two lines are identical? P(X1 = X2) = (c) Let A denote the event that there are at least two more customers In one line than in the other line. Express A in terms of X1 and X2. Calculate the probability of this event. P(A) = (d) What is the probability that the total number of customers in the two lines is exactly four? At least four? P(exactly four) = P(at least four) =

The equation is true for all real numbers, and therefore the solution set is (C) all real numbers.

In arithmetic, a solution to the equation expresses can be replaced for the variable to provide a piece of real number information.

We can start simplifying the equation using the distributive property:

4(6x - 4) = 8(3x - 2)

24x - 16 = 24x - 16

We can see that both sides of the equation are identical, so the equation is an identity. This means that the equation is true for all real numbers, and therefore the solution set is all real numbers.

In other words, any value we choose for x will make the equation true.

Learn more about the solution to the equation here:

brainly.com/question/19794420

#SPJ9

The complete question would be as:

How many solutions have the below equation?

4(6x - 4) = 8(3x - 2)

A. one solution.

B. no solution.

C. all real numbers.

The mass of the radioactive sample at the beginning of the 13th day of the experiment will be around 424.7 grams.

A metric weight measurement unit. A gramme is one thousandth of a kilogramme, or about 30 times smaller than an ounce. Leave a space between the word "gramme" (or the symbol "g") and the number that comes before it when a specific number is provided. In technical and scientific writing, the unit name and the number are either written together in full (for example, ten grammes) or a numeral is used with the sign ( e.g. 10 g ).

When we find the mass of radioactive, we obtain:

m₀=initial mass=1500 grams, r = 13% and n =12 days

⇒m = m₀ x [tex](1 - \frac{r}{100} )^{n}[/tex]

⇒m =1500×[tex](1-\frac{13}{100}) ^{12}[/tex]

⇒m=424.7 grams.

To know more about grams visit:

https://brainly.com/question/29127168

#SPJ1

The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.

Probability is a mathematical study of outcomes in uncertain situations it is used to describe the like would an event occurring and it can be expressed as a number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make a prediction about futures even probability theory is it of modern statistic and is widely used in fields such as financial economics and science.

Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.

To know more about probability click-

brainly.com/question/24756209

#SPJ1

The way to solve a 3 column table depends on the information in the table but there are general steps to follow shown below.

First, identify the headings for each column. Then, determine the type of data being presented in each column because the data may be numerical (such as measurements or quantities), categorical (such as types or classifications), or a combination of both.

Analyze the data in each column and use mathematical operations or formulas to calculate or analyze the data, if necessary. Finally, draw conclusions or make inferences based on the data in the table.

Find out more on three - column tables at https://brainly.com/question/28959249

#SPJ1

Prove that QR QR by the reflexive property.

The triangles are congruent by reflexive property of SSS

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔPQR

Let the second triangle be ΔQRS

And , the side QR is the common side

Now , measure of side PQ = measure of side QS

And , measure of side PR = measure of side RS

So , the three sides are equal (SSS: side, side, side) and they are congruent triangles

And , QR ≈ QR by the reflexive property.

Hence , the triangles are congruent by SSS

To learn more about congruent triangles click :

https://brainly.com/question/26131452

#SPJ5

The complete question is attached below :

Nikki is going to use SSS to prove that PQR SQR.

Which of these is a necessary step in Nikki's proof?

A.

Prove that PQR SQR by vertical angles.

B.

Prove that PQ QR by CPCTC.

C.

Prove that QR QR by the reflexive property.

D.

Prove that QPR QSR by the transitive property.

Answer:

7 min 48 sec / mile

Step-by-step explanation:

51 min ÷ 7 miles = 7.2857142857142

Rounds to 7

Answer:

x = -2

Step-by-step explanation:

The line passing through the points (-2, -10) and (-2, -5) is a vertical line because both points have the same x-coordinate (-2).

Therefore, the equation of the line is simple:

x = -2

This means that for any value of y, the corresponding value of x is always -2. Visually, this line looks like a straight vertical line passing through the point (-2, -10) and (-2, -5) on the coordinate plane.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the minimum sample size needed to have a 4 percentage point error for the proportion of orders that were carry-out, we can use the following formula:

n = (Z^2 * p * q) / E^2

where:

n is the sample size we want to determine

Z is the z-score associated with the desired level of confidence (let's assume a 95% confidence level, so Z = 1.96)

p is the estimated proportion of orders that were carry-out (we don't know this yet, so we'll use 0.5 as a conservative estimate)

q is 1 - p (i.e., the estimated proportion of orders that were delivery)

E is the desired margin of error (in this case, 0.04)

Using the given information, we can estimate that the proportion of orders that were carry-out is:

p = 1 - 431/778 = 0.446

Then, plugging in the values into the formula, we get:

n = (1.96^2 * 0.446 * 0.554) / 0.04^2 ≈ 602.25

Rounding up to the nearest whole number, the minimum sample size needed is 603.

Note that I used the formula for sample size calculation based on a finite population, since the total number of orders is known (778). If we used the formula for an infinite population, the result would be very similar (around 604). I calculated this by hand, without using any calculator program, but you could use a calculator or a spreadsheet to perform the calculations more efficiently.

Answer:

D

Step-by-step explanation:

f(x) = 3x - 4

Substituting f(x) into g(x) gives:

g(f(x)) = (3x - 4)^2 - 3

Expanding the squared term, we get:

g(f(x)) = 9x^2 - 24x + 16 - 3

Simplifying, we get:

g(f(x)) = 9x^2 - 24x + 13

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

What is percentage?

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

Learn more about percentages at:

brainly.com/question/20818421

#SPJ1

Answer:

Step-by-step explanation:

What are you trying to do?

It's hard ot understand the problem.

Answer:

The image of point (–2, –3)C under the translation would be point (–4, –3)C.

Answer: D

Step-by-step explanation:

To find the perimeter of the rectangle, we need to know both the length and width of the rectangle. Since we are given the expression for the area, which is A(x) = x(14 – x), we can use this expression to find the length of the rectangle that corresponds to a given width x.

The area of a rectangle is equal to its length multiplied by its width. So we have:

A(x) = x(14 – x)

We can rewrite this equation as a quadratic equation in standard form:

A(x) = -x^2 + 14x

To find the maximum value of A(x), we can use the formula for the x-coordinate of the vertex of a quadratic function:

x = -b / 2a

where a = -1 and b = 14 in this case.

x = -14 / 2(-1) = 7

So the maximum area occurs when the width of the rectangle is 7.

To find the length of the rectangle, we can substitute x = 7 into the expression for the area:

A(7) = 7(14 – 7) = 49

So the length of the rectangle is 49/7 = 7.

Now we can find the perimeter of the rectangle by using the formula:

P = 2(l + w)

where l is the length and w is the width.

Substituting l = 7 and w = x, we get:

P = 2(7 + x)

So the correct answer is (D) 4x + 28.

The video does not provide information to answer the question about which area suggests that Douglas County is lower than many other communities.

Statistics in mathematics is the study of data gathering, organization, interpretation, analysis, and presentation. Planning the acquired data for experimental designs and statistical surveys is the major goal of employing statistics. A mathematical science that deals with numerical data is statistics. In short, statistics is an important process that aids in decision-making based on facts.

The video does not provide information to answer the question about which area suggests that Douglas County is lower than many other communities.

The most likely used method to compute the average commute time to work in Douglas County is: researchers collected a random sample of people in Douglas County who are employed and asked them for their commute time. They added up all of these commute times and then divided this number by the number of people in the sample.

To understand why the video describes certain companies as major employers in Douglas County, the most relevant statistic would be the number of employees of each of these companies.

Learn more about statistics, visit:

https://brainly.com/question/29093686

#SPJ1

Answer:

$4

Step-by-step explanation:

Let's denote the price of an apple by "a" and the price of a mango by "m". Then we can set up two equations based on the information given in the problem:

"The total price of 3 mangoes and 6 apples is $42"

mangoes are three times apples in this case.

3m + 6a = 42

"The price of a mango is $2 less than 2 times that of an apple"

m = 2a - 2

Now we can substitute equation 2 into equation 1 and solve for "a":

3(2a - 2) + 6a = 42

6a - 6 + 6a = 42

12a = 48

a = 4

Therefore, the price of an apple is $4.

꧁༒αηѕωєяє∂ ву gσ∂кєу༒꧂

Answer:

12x^2.

Step-by-step explanation:

let y = 4x^3

If y is increased by a small amount Δy then x is increased by a small amount Δx, so we write:

y + Δy = 4(x + Δx)^3

y + Δy = 4(x^3 + 3x^2 Δx + 3x(Δx)^2 + (Δx)^3)

y + Δy = 4x^3 + 12x^2 Δx + 12x(Δx)^2 + 4(Δx)^3

Δy = 4x^3 + 12x^2 Δx + 12x(Δx)^2 + 4(Δx)^3 - y

    = 4x^3 + 12x^2 Δx + 12x(Δx)^3 + 4(Δx)^2 - 4x^3

Δy/Δx = (4x^3 + 12x^2 Δx + 12x(Δx)^3 + 4(Δx)^2- 4x^3 ) / Δx  

          = (12x^2 Δx + 12x(Δx)^3 + 4(Δx)^2) / Δx

          = 12x^2 + 12x(Δx)^2 + 4Δx

Now as Δx approaches zero, the limit  ( that is the derivative) of f(x)

= 12x^2

- as we can neglect the last 2 terms.

The second part can be solved by the same process.

The Accurate Prediction of the data:

In a group of 120 students, it is expected that 16 of them are taking electronics.

About 25% of the students in the school are taking art.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total students = 60

let x% of students chose Arts

So, x% of 60 = 15

x/ 100 (60) = 15

x = 1500 / 60

x = 25%

and, if there 120 students then number of students choose electronics

= 8/60 x 120

= 16

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ9

The correct matching of the fractions

0.1 - 1/10

0.01 - 1/100

100% - 1

A fraction is a way of representing a part of a whole or a quantity that is less than one. Fractions consist of two numbers separated by a horizontal or diagonal line, with the number above the line being called the numerator and the number below the line being called the denominator.

The numerator represents how many parts of the whole are being considered, while the denominator represents the total number of equal parts that the whole is divided into.

Learn more about fraction:brainly.com/question/10354322

#SPJ1

To find the perimeter of the triangle, we need to calculate the length of each of its sides and then add them up.

Let's start by finding the length of the side between (-1, -14) and (7, 1). We can use the distance formula for this:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

distance = sqrt((7 - (-1))^2 + (1 - (-14))^2)

= sqrt(8^2 + 15^2)

= sqrt(289)

= 17

So the length of the first side is 17.

Now let's find the length of the side between (-1, -14) and (-1, 7):

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

distance = sqrt((-1 - (-1))^2 + (7 - (-14))^2)

= sqrt(0^2 + 21^2)

= 21

So the length of the second side is 21.

Finally, let's find the length of the side between (7, 1) and (-1, 7):

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

distance = sqrt((-1 - 7)^2 + (7 - 1)^2)

= sqrt((-8)^2 + 6^2)

= sqrt(100)

= 10

So the length of the third side is 10.

Now we can add up the lengths of all three sides to get the perimeter:

perimeter = 17 + 21 + 10

= 48

Therefore, the perimeter of the triangle is 48.

Answer:

$ 2,484.23

Step-by-step explanation:

The formula for scrap value is

S(n) = C( 1- r)ⁿ

where
S(n) = scrap value after n years
C = original cost
r = rate of value lost in decimal
n = number of years

First convert r to a decimal by dividing by 100

r = 13/100 = 0.13

S(10) = 10,000(1 - 0.13)¹⁰
= 10,000 x (0.87)¹⁰
= 10000 x 0.248423

= $ 2,484.23

The required measures of the angles are the following: ∠J = 135°, ∠F = 45°, ∠B = 135°, and ∠C = 22°.

The supplementary angles are illustrated as when pairing of angles addendum to 180° then they are called supplementary angles.

The measure of the angles are given as follows:

∠I = 22°

∠A = 23°

∠J = 180° - ∠I - ∠A (sum of interior angles in a triangle)

∠J = 180° - 22° - 23° = 135°

∠F = 180° - ∠J (supplementary angles)

∠F = 180° - 135° = 45°

∠B = 360° - 90° - 90° - 45° (sum of interior angles in the quadrilateral)

∠B = 135°

∠C = 180° - ∠A - ∠B (sum of interior angles in a triangle)

∠C = 180° - 23° - 135° = 22°

Thus, the required measures of the angles are the following: ∠J = 135°, ∠F = 45°, ∠B = 135°, and ∠C = 22°.

Learn more about the angled here.

brainly.com/question/15767203

#SPJ9

Answer:

Step-by-step explanation:

Polynomials are a type of mathematical expression that involve variables raised to powers and added or subtracted together. They have many applications in the real world, ranging from science and engineering to finance and economics. Here are a few examples:

Physics: Polynomials are used to describe the motion of objects in space. For example, the position of a moving object over time can be represented by a polynomial function.

Engineering: Polynomials are used to design and analyze complex systems, such as electrical circuits and control systems.

Computer graphics: Polynomials are used to create curves and shapes in 3D modeling and computer graphics.

Finance: Polynomials are used in financial modeling to represent trends and make predictions. For example, a polynomial function could be used to model the growth of a company's revenue over time.

Data analysis: Polynomials are used to fit curves to data in order to make predictions or gain insights. For example, a polynomial function could be used to model the relationship between a company's advertising budget and its sales.

Overall, polynomials are a powerful tool in mathematics and have many practical applications in various fields.

The equation of the line that models the cost of renting a kayak in slope-intercept form is: y = 5x + 10

The slope and y-intercept of the line that predicts the price of renting a kayak must be identified in order to formulate the equation for the line.

We can observe from the provided graph that the line traverses points (0, 10) and (6, 40). We may determine the slope of the line using these two points:

Slope = (Y Change/X Change) = (40 - 10)/(6 - 0) = 30/6 = 5

The equation of a line can also be expressed in the slope-intercept form, which is as follows:

y = mx + b

where m denotes the line's slope and b its y-intercept.

The slope of the line is previously known to be 5. One of the points the line passes through can be used to determine the y-intercept, for instance (0, 10). When we enter these numbers into the equation, we obtain:

10 = 5(0) + b

If we simplify, we get:

b = 10

Thus, the slope-intercept form equation of the line that represents the cost of renting a kayak is as follows:

y = 5x + 10

where x represents the duration of the kayak rental and y represents the entire cost.

To know more similar question visit:

https://brainly.com/question/29099103

#SPJ1

When Aldo and Lena are standing on a riverside 220 meters apart at certain points, the distance between Lena and the home is 240.8 meters.

Displacement is the overall, purposeless movement of an object. Speed can be characterized as the amount of area an object has covered, disregarding of the origin or ending location. Distance has characterized by the extent or size of the distance between two places. The gap between adjacent positions and the distance moved between them are not exactly the same thing, it should be emphasized. The travelled is the entire length of a path that join different places. Distance is the average trip distance of a body. It is also known as distance. For instance, OP = 360 m would indicate the length of the path for an object traveling from 0 ° to point P.

given

BC/sin 53 = 250/sin 56

BC = 250 * sin 53 /sin 56

=240.8 m

When Aldo and Lena are standing on a riverside 220 meters apart at certain points, the distance between Lena and the home is 240.8 meters.

To know more about distance visit :-

brainly.com/question/29130992

#SPJ1

The set of x-values where f(x) is continuous is all real numbers except x=1, interval notation is (-∞, 1) U (1, ∞).

The function f(x) is a rational function, which is continuous for all x-values except those that make the denominator 0.

Thus, to find the set of x-values where f(x) is continuous, we need to find the values that make the denominator x-1 equal to 0:

x - 1 = 0

x = 1

Therefore, the set of x-values where f(x) is continuous is all real numbers except x=1. We can write this set in interval notation as:

(-∞, 1) U (1, ∞)

which means the set of all x-values less than 1, combined with the set of all x-values greater than 1.

Learn more about continuous function here: https://brainly.com/question/18102431

#SPJ1

When the coordinate is (-3, -3) and the slope is -1, the y-intercept is -4.

Slope is a measure of the stainless of a line what is surface and it represent by the letter m. It is calculated by dividing the vertical change in the line or surface by the horizontal change in the line or surface. Slope is used in mathematics engineering and other science to measure the rate of change between two point.

The y-intercept is the point at which a line crosses the y-axis when plotting coordinates on a graph. To find the y-intercept, you need to use the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation would be y = -1x - 4. This equation can be used to solve for the y-intercept when the coordinate is (-3, -3). By substituting -3 for x and -3 for y, the equation can be rearranged to -3 = -1(-3) - b, which simplifies to -4 = -b. Therefore, the y-intercept is -4.

To know more about slope click-

https://brainly.com/question/3493733

#SPJ1

Answer:

Look at the screenshot.

Answer:

The least whole number of bags of concrete mix that Roger needs in order to make the sidewalk is G, 44. To calculate this, we must first convert the cubic feet of the sidewalk into cubic inches, which would be 345,600 cubic inches. Then, we need to divide this by the amount of cubic inches in one bag (0.6 cubic feet = 630 cubic inches). This gives us 550 bags of concrete mix, but since Roger will be using a whole number, the closest he can get is 44 bags.

Answer:

can you explain a bit better what the problem is?

Answer:

I ammm really sorry for the question

i don't know sorry

Answer:

[tex]f^{-1}(3) = \boxed{7}[/tex]

[tex]f(f(7))^{-1} = \boxed{7}[/tex]

Step-by-step explanation:

These follow from two of  the properties of inverse functions:

If [tex]f[/tex] is a one-to-one function then