3
of a number is 21.
5
Find the number​

The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.

To calculate this probability, we need to consider the following components:

1. The total number of customers purchasing cooking and BobVilla books: This is the denominator of our equation, and it represents the total number of customers who purchased the two books.

2. The number of customers purchasing the biography book: This is the numerator of our equation, and it represents the number of customers who purchased the biography book.

3. The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books: This is the fraction of customers who purchased the biography book over the total number of customers who purchased the two books.

To calculate the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books, we need to divide the numerator (the number of customers purchasing the biography book) by the denominator (the total number of customers purchasing the two books).

This probability can be expressed as a decimal, which is 0.08. This value can also be rounded to two decimal places, which is 0.08.

In conclusion, the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.

See more about probability at: https://brainly.com/question/14904900

#SPJ11

Answer:

m

Step-by-step explanation:

It is closest to being a vertical line.

Answer: Hello your question some data but i will provide a general solution based on the scope of your question making some suggestions as well

answer : Summation of displacements ( back and forth distance ) / Number of Runners

Step-by-step explanation:

Given that ; the aim of the race is to raise money

The number of miles/ distance covered will determine how much money that would be raised

Formula to resolve the problem =  Summation of displacements ( back and forth distance ) / Number of Runners

Lets assume: ( example )

Distance between the Park and the City hall is = 6 miles

Number of runners = 4

Given that the runners Run  from the Park to the City hall and then run back

Total miles covered by each runner = ( 6 + 6 )/ 4  = 12/4 = 3 miles

Complete Question

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10 cm, and the base has a diameter of 12 cm. The cooler has 16,956 cm³ of water in it. How many cups can be filled from the cooler?

Answer:

45 paper cups

Step-by-step explanation:

Step 1

We have to find the volume of the paper cups.

The paper cup is shaped like a cone

Hence, Volume of a cone(paper cup) = 1/3πr²h

π = 3.14

Height = 10 cm

Diameter = 12 cm

Radius = Diameter/2 = 12cm/2 = 6cm

Hence,

Volume = 1/3 × 3.14 × 6² × 10

= 376.8 cm³

Step 2

How many cups can be filled from the cooler?

The cooler contains initially = 16,956 cm³ of water

Hence, the number of cups that can be filled from the cooler is calculated as:

Volume of cooler/Volume of paper cup

= 16,956cm³/376.8 cm³

= 45 paper cups

Therefore, 45 paper cups can be filled from the cooler.

Answer:

x=-11 y=-4

Step-by-step explanation:

4x−6y=−20;−2x+4y=6

once you have this, try and find any number. i find trial and error easy if you can find the answer

Answer:

The vertex is at (2, 8) and the axis of symmetry is x = 2

Step-by-step explanation:

First, let's find the zeros of the equation

Factor the equation

-2x² + 8x = -2x(x - 4) = 0

-2x = 0

x - 4 = 0

h(x) is 0 when x = 0 or 4

Now we add those zero's together and divide by 2 to find the middle (the axis of symmetry)

4 + 0 = 4

4 ÷ 2 = 2

Now plug 2 into the original equation to find the vertex

h(x) = -2(2)² + 8(2) = 8

Since h(x) equals 8 at the axis of symmetry, which is 2, our vertex is (2,8)

The correct statement concerning the vertex and axis of symmetry of

h(x) = −2x^2 + 8x is:

The vertex is at (2, 8) and the axis of symmetry is x = 2.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The correct statement concerning the vertex and axis of symmetry of

h(x) = −2x^2 + 8x is:

To find the vertex and axis of symmetry of a quadratic function in standard form (y = ax² + bx + c), we can use the formulas:

x = -b / 2a (for the x-coordinate of the vertex)

y = (c - b²) / 4a (for the y-coordinate of the vertex)

and

x = -b / 2a (for the equation of the axis of symmetry)

In this case,

a = -2, b = 8, and c = 0.

Substituting these values into the formulas above, we get:

x = -8 / 2(-2) = 2 (x-coordinate of vertex)

y = 0 - 8² / 4(-2) = 8 (y-coordinate of vertex)

x = 2 (equation of the axis of symmetry)

Therefore,

The vertex is at (2, 8) and the axis of symmetry is x = 2.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer: 121 im pretty sure

Step-by-step explanation: 21175 divided by 175

Answer:

1/2

Step-by-step explanation:

there are 10 possible digits, 0, 1, 2, ... 9

only 5 are under five, which are 0, 1, 2, 3, and 4.

so it's 5/10, or 1/2

The means to study and analyze economic phenomena, formulate economic models, make predictions, and derive policy recommendations.

1. Importance of studying mathematics in economics:

a. Modeling and Analysis: Mathematics provides the tools and techniques for constructing models that represent economic phenomena.

These models help economists analyze and understand complex economic systems, predict outcomes, and make informed decisions.

b. Quantitative Analysis: Economics involves analyzing numerical data and making quantitative assessments. Mathematics equips economists with the necessary skills to handle and manipulate data, perform statistical analysis, and draw meaningful conclusions from empirical evidence.

c. Logical Reasoning and Problem Solving: Mathematics trains students to think critically, logically, and abstractly. These skills are essential in economics, where students need to formulate and solve economic problems, derive solutions, and interpret results.

2. Mathematical tools used in economics:

a. Calculus: Calculus plays a crucial role in economics by providing techniques for analyzing and optimizing economic functions and models. Concepts such as derivatives and integrals are used to study economic relationships, marginal analysis, and optimization problems.

b. Linear Algebra: Linear algebra is employed in various economic applications, such as solving systems of linear equations, representing and manipulating matrices, and analyzing input-output models.

c. Statistics and Probability: Statistics is used to analyze economic data, estimate parameters, test hypotheses, and make inferences. Probability theory is essential in modeling uncertainty and risk in economic decision-making.

d. Optimization Theory: Optimization theory, including linear programming and nonlinear optimization, is used to find optimal solutions in various economic problems, such as resource allocation, production planning, and utility maximization.

e. Game Theory: Game theory is a mathematical framework used to analyze strategic interactions and decision-making among multiple agents. It is widely applied in fields such as industrial organization, microeconomics, and international trade.

To know more about predictions refer here:

https://brainly.com/question/27154912#

#SPJ11

The 90% confidence interval estimate for the population mean (u) based on the given sample is (91.77, 94.23). This means we are 90% confident that the true population mean falls within this range.

To construct a 90% confidence interval estimate of the population mean, we can use the formula:

Confidence interval = x⁻ ± Z * (s / √n)

Where:

x⁻ = sample mean

Z = z-score corresponding to the desired confidence level (90% in this case)

s = sample standard deviation

n = sample size

Given:

x⁻ = 93

s = 6

n = 64

To find the z-score corresponding to a 90% confidence level, we look up the value in the standard normal distribution table or use statistical software. The z-score for a 90% confidence level is approximately 1.645.

Substituting the values into the formula, we get:

Confidence interval = 93 ± 1.645 * (6 / √64)

Confidence interval = 93 ± 1.645 * (6 / 8)

Confidence interval = 93 ± 1.645 * 0.75

Confidence interval = 93 ± 1.23125

Therefore, the 90% confidence interval estimate of the population mean (u) is approximately (91.77, 94.23).

To know more about the  confidence interval refer here,

https://brainly.com/question/13067956#

#SPJ11

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

100 - 49

=51

Sum of two Interiors=Exterior

\(\\ \rm\rightarrowtail x+90=148\)

\(\\ \rm\rightarrowtail x=148-90\)

\(\\ \rm\rightarrowtail x=58\)

First, let's find the interior top angle of the triangle.

Let the top angle be "y".

We know that:

This means that:

Simplify the equation by subtracting 148 both sides to isolate "y".

Hence, the top angle of the triangle is 32°.

We know that:

This means that:

Substitute "Right angle" as 90.

Subtract 122 both sides to isolate x.

Thus, the measure of x is 58°.

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

a. Four reasons why companies change existing systems are Technological advancements, Business process improvement, Regulatory compliance and Organizational growth.

b. Three possible reasons why behavioral problems occur when Tanjak Corporation plans to introduce a new AIS are

Fear of job loss or role changes,Lack of training and understanding and Cultural resistance.

c.Two actions that Tanjak Corporation can take to alleviate resistance are Communication and employee involvement and Training and support.

a) Four reasons why companies change existing systems:

1. Technological advancements: Companies often change existing systems to take advantage of new technologies that can improve efficiency, accuracy, and productivity. For example, upgrading to a cloud-based system can provide real-time access to data, enhance collaboration, and reduce IT infrastructure costs.

2. Business process improvement: Changes in business processes may require corresponding changes in the information systems supporting those processes. Organizations aim to streamline operations, eliminate bottlenecks, and enhance overall effectiveness. Implementing an updated system can automate manual tasks, integrate workflows, and improve data analysis capabilities.

3. Regulatory compliance: Changes in regulations and legal requirements can necessitate modifications to existing systems. Companies must ensure their systems capture and report data accurately and meet compliance standards. Upgrading systems may involve implementing new security measures, data privacy controls, or reporting functionalities.

4. Organizational growth or restructuring: As companies expand, merge, or restructure, their information systems must adapt to support new organizational structures, business units, or geographical locations. Systems may need to integrate data from multiple entities, accommodate increased transaction volumes, or enable centralized reporting and analysis.

b) Three possible reasons why behavioral problems occur when Tanjak Corporation plans to introduce a new AIS:

1. Fear of job loss or role changes: Employees may worry that the new AIS will automate tasks previously performed manually, potentially leading to job redundancies or changes in job responsibilities. This fear can create resistance and reluctance to embrace the new system.

2. Lack of training and understanding: If employees are not adequately trained on the new AIS or do not understand its purpose and benefits, they may resist its implementation. Uncertainty about how to operate the system or how it will affect their work can lead to resistance and frustration.

3. Cultural resistance and organizational politics: Resistance to change can arise from the existing organizational culture or internal politics. Employees may resist the new AIS if it threatens existing power dynamics, challenges established ways of working, or disrupts established routines and relationships.

c) Two actions that Tanjak Corporation can take to alleviate resistance:

1. Communication and employee involvement: Clear and consistent communication about the reasons for implementing the new AIS, its benefits, and the expected impact on employees' roles can help alleviate resistance. Involving employees in the decision-making process, seeking their input, and addressing their concerns can foster a sense of ownership and reduce resistance.

2. Training and support: Providing comprehensive training on how to use the new AIS and offering ongoing support can help employees adapt to the changes more effectively. Training sessions, workshops, and access to user manuals or online resources can empower employees and increase their confidence in using the system. Additionally, offering support channels such as a helpdesk or dedicated support staff can address any issues or difficulties employees encounter during the transition period.

To know more about behaviorial problem click on below link :

https://brainly.com/question/32592720#

#SPJ11

Answer:

uh dude i think you might have the wrong screenshot

Step-by-step explanation:

Answer:

Step-by-step explanation: To find out what grade Sally needs to earn on her fifth and last math test to achieve a 90 average, we  use the following steps:

Step 1: Add the total points Sally has received: 80 + 82 + 92 + 98 = 352.

Sally has taken 4 tests so far.

Step 2: Find the total marks required for a 90 average on 5 tests: 90 x 5 = 450.

Step 3: Find the score Sally needs to achieve on her fifth test by subtracting the points earned  from the total required points: 450 - 352 = 98.

Therefore, Sally needs to earn a grade of 98 on her 5th and last test to achieve a 90 average on all five tests this semester.

Answer:

3/7

Step-by-step explanation:

Sin (R) = opposite ÷ hypotenuse,

Find the opposite by using pythagorean theorem.

(AY)^2 + (2√10)^2 = 7^2

(AY)^2 + 40 = 49

(AY)^2 = 9

AY = 3

Sin(R) = 3/7

Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

Learn more about interest here:

https://brainly.com/question/29335425

#SPJ11

Answer:

2n+2

Step-by-step explanation:

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

Answer:

\(\boxed{5(x+1)}\)

Step-by-step explanation:

Associative Property

\(\boxed{a+(b+c)= (a+b)+c}\)

\(\boxed{a \cdot (b\cdot c)= (a \cdot b) \cdot c}\)

Commutative Property

\(\boxed{ b \cdot a = a \cdot b}\)

\(\boxed{a+b= b+c}\)

Distributive Property

\(\boxed{ a(b+c)= ab+ac }\)

\(\boxed{ a(b-c)= ab+ac }\)

\(2x + 8 + 3x - 3 =5x+5 = \boxed{5(x+1)}\)

The set of points in space whose coordinates satisfy a given combination of equations and inequalities can be described by a geometric shape or region in 3-dimensional space.

Enumerate the collection of spatial points whose coordinates fulfil the specified set of equations and inequalities.

The equations and inequalities will define the properties of the region, such as its shape, size, and location.

For example, if we have the equation x + y + z = 3 and the inequality x^2 + y^2 <= 1, the set of points that satisfy these conditions would be the points on or inside a sphere of radius 1 centered at the point (0,0,-1) in the x-y plane, and points on the plane x+y+z = 3.

Another example, if we have the equation x + y = 4 and the inequality y >= 2x-5, the set of points that satisfy these conditions would be the points on the line x+y = 4, above or on the line y = 2x-5.

It's important to note that the type of shape or region that is formed by the equations and inequalities will depend on the specific equations and inequalities being used and the number of variables in the problem.

To learn more about inequalities visit: brainly.com/question/30231190

#SPJ4

Answer :

⠀

Step-by-step explanation:

⠀

\( {\longrightarrow \: \sf \: Let \: \: a : b\: = 3: 4 = \dfrac{a}{b} \: = \: \dfrac{3}{4} = k}\)

⠀

Therefore,

⠀

\( \dashrightarrow \qquad \sf \: a = 3k\)

\( \dashrightarrow \qquad \sf \: b = 4k\)

⠀

Now, Substituting the values :

⠀

\(\longrightarrow \qquad \sf \: 15a+9b:16a+5b\)

⠀

\(\longrightarrow \qquad \sf \: \dfrac{15(3k)+9(4k)}{16(3k)+5(4k)}\)

⠀

\(\longrightarrow \qquad \sf \: \dfrac{45k+36k}{48k+20k}\)

⠀

\(\longrightarrow \qquad \sf \: \dfrac{81k}{68k}\)

⠀

\(\longrightarrow \qquad \sf \: \dfrac{81 \cancel{k}}{68 \cancel{k}}\)

⠀

\(\longrightarrow \qquad \sf \: \dfrac{81}{68}\)

⠀

\(\longrightarrow \qquad \bf \: {81} : {68}\)

⠀

Therefore ,

⠀

\({ \pmb{ \sf{\longrightarrow \qquad \: 15a+9b:16a+5b = 81 : 68}}}\)

⠀

Answer: 7

Step-by-step explanation:

7

Answer:

Whatever point that is in the shaded region.

Step-by-step explanation:

Hope this helps!

If not I am sorry.

Answer:

y = - 2x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = - 2x + 17 ← equation of line

Answer:

1/2

Step-by-step explanation:

find the lowest common multiple

18x1 = 18

9x2 = 18

5/18 + 2/9

= 5/18 + 4/18 (multiply 2/9's numerator and denominator by 2)

= 9/18 or 1/2

x - 3y = -11
-x + 2y = 7

We minus these equations : x - 3y - (-x + 2y) = -18

= x - 3y + x - 2y = -18
2x - 5y = -18

Now, we add these equations :

x - 3y = -11
-x + 2y = 7
-> x - 3y - x + 2y = -4
-y = -4
y = 4

Replace it in 2x - 5y = -18

2x - 20 = -18

2x = -18 + 20 = 2
x = 1

Recheck : 1 - 3 x 4 = -11

-1 + 8 = 7.

Appling percentages, if Ms. Lama marked the price of a a cosmetic items 25% above it's cost price and the cost price of the cosmetic items was Rs.4400 sold with 13% VAT, the selling price is $6,215.

The selling price is determined by increasing the cost price by the markup percentage and then the VAT percentage.

Cost price of the cosmetic items = Rs.4,400

Markup = 25%

Markup factor = 1.25 (1 + 0.25)

Marked up price = Rs.5,500 (Rs.4,400 x 1.25)

VAT = 13%

Markup ith VAT factor = 1.13 (1 + 0.13)

Selling price = Rs.6,215 (Rs.5,500 x 1.13)

Thus, Ms. Lama sold the cosmetic items at Rs.6,215, 13% VAT inclusive.

Learn more about percentages at https://brainly.com/question/24877689.

#SPJ1