Using the information below, compute the cycle efficiency:
Days' sales in accounts receivable 23 days
Days' sales in inventory 80 days
Days' payable outstanding43 days


Answers

Answer 1

The cycle efficiency, also known as the operating cycle or cash conversion cycle, is a measure of how efficiently a company manages its working capital.

In this case, with 23 days' sales in accounts receivable, 80 days' sales in inventory, and 43 days' payable outstanding, the cycle efficiency can be calculated.

The cycle efficiency measures the time it takes for a company to convert its resources into cash flow. It is calculated by adding the days' sales in inventory (DSI) and the days' sales in accounts receivable (DSAR), and then subtracting the days' payable outstanding (DPO).

In this case, the DSI is 80 days, which indicates that it takes 80 days for the company to sell its inventory. The DSAR is 23 days, which means it takes 23 days for the company to collect payment from its customers after a sale. The DPO is 43 days, indicating that the company takes 43 days to pay its suppliers.

To calculate the cycle efficiency, we add the DSI and DSAR and then subtract the DPO:

Cycle Efficiency = DSI + DSAR - DPO

= 80 + 23 - 43

= 60 days

Therefore, the cycle efficiency for the company is 60 days. This means that it takes the company 60 days, on average, to convert its resources (inventory and accounts receivable) into cash flow while managing its payable outstanding. A lower cycle efficiency indicates a more efficient management of working capital, as it implies a shorter cash conversion cycle.

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Related Questions

if 2 is a zero of a polynomial Q(x) , then 3 is a zero of Q(x-1)
it's true, but how can we justify the answer ??
tysmm

Answers

Answer:

Therefore, we can see that if 2 is a zero of Q(x), then 3 is a zero of Q(x-1).

Step-by-step explanation:

This statement is true because if Q(x) is a polynomial and 2 is a zero (or a root) of Q(x), then there exists some non-zero coefficient c such that Q(2) = c(2-2)^n = 0, where n is the degree of the polynomial.Since Q(2) = 0, we can say that Q(x) = (x-2)P(x) for some polynomial P(x). Therefore, Q(x-1) = (x-1-2)P(x-1) = (x-3)P(x-1).Since 3 is a root of Q(x-1), this means that there exists some non-zero coefficient d such that Q(3) = d(3-3)^m = 0, where m is the degree of the polynomial P(x).

A laptop battery has 82 power after 1 hour of use and 46 power after 3 hours of use

Answers

Answer:

18 hours

Step-by-step explanation:

18 x 4 = 54 .

t

t

t

t

t

chegg suppose we take a single observqation froma bernouilli population, where the mean is known to be restruction p [1/3, 2/3] what is the maximum likellhiood estimator

Answers

The maximum likelihood estimator (MLE) for a single observation from a Bernoulli population, where the mean is known to be restricted to p [1/3, 2/3], is p = 0.

The maximum likelihood estimator (MLE) for a single observation from a Bernoulli population with a known mean restriction p [1/3, 2/3] can be found by maximizing the likelihood function.

In this case, the likelihood function can be defined as the probability of obtaining the observed value given the parameter p. Since the population follows a Bernoulli distribution, the likelihood function can be expressed as:

\(L(p) = p^x * (1-p)^(1-x)\)

where x is the observed value (0 or 1).

To find the MLE, we need to find the value of p that maximizes the likelihood function. Taking the derivative of the log-likelihood function with respect to p and setting it equal to zero, we can solve for the MLE.

The log-likelihood function for a single observation from a Bernoulli distribution is:

\(log L(p) = x * log(p) + (1-x) * log(1-p)\)

Taking the derivative with respect to p:

\(d/dp (log L(p)) = (x/p) - ((1-x)/(1-p))\)

Setting it equal to zero and solving for p:

\((x/p) - ((1-x)/(1-p)) = 0\)


Simplifying the equation, we get:

\(x(1-p) - (1-x)p = 0\)

Expanding the equation further, we get:

x - px - p + xp = 0

2xp - 2p = x

Factoring out p, we get:

\(p(2x-2) = x\)

Dividing both sides by (2x-2), we get:

p = x / (2x-2)

In this case, since the mean is restricted to the range [1/3, 2/3], we need to consider the possible values of x (0 or 1) and substitute them into the equation to find the MLE.

For x = 0:

p = 0 / (2*0-2)

= 0

For x = 1:

p = 1 / (2*1-2)

= 1 / 0

= undefined

Therefore, the maximum likelihood estimator (MLE) for a single observation from a Bernoulli population, where the mean is known to be restricted to p [1/3, 2/3], is p = 0.

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PLEASE HELP

Ten friends are playing Duck, Duck, Goose. The friends sit equally spaced in a circle. There are three people between Stanley and Frank.

What is the measure of the major arc along the perimeter of the circle between Stanley and Frank?

Enter your answer in the box.

Answers

The measure of the major arc along the perimeter of the circle between Stanley and Frank is given as follows:

200º.

How to obtain the measure of the major arc?

The measure of the major arc is obtained applying the proportions in the context of the problem.

The entire circumference (perimeter) of the circle has an angle measure of 360º, there are 10 friends and nine spaces, hence the angle measure of each space is given as follows:

360/9 = 40º.

Between Stanley and Frank, there are three people = four spaces, hence the arc lengths are given as follows:

4 x 40 = 160º. -> minor arc.360 - 160 = 200º. -> major arc.

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1A) When f(n) = 12, what is the value of n?

Answers

Answer:

Can't answer this

Step-by-step explanation:

For this question, I think you need to read more informations, find out the function

After you find out the function,

Replace f(x) as 12 and replace x with n

After that, try to solve it.

Good luck.

If a garage is 121 square feet will a 13 foot long car fit in it

Answers

No, the squared root of 121 is 11

Help me answe this please lol

Help me answe this please lol

Answers

Answer:

SAS

is the correct answer of this question

Answer:

SAS

Step-by-step explanation:

SAS is an abbreviation for side angle side, which is what your triangle shows.

A shipping company handles rectangular boxes provided the sum of the height and the girth of the box does not exceed 96 in. (The girth is the perimeter of the smallest side of the box.) Find the dimensions of the box that meets this condition and has the largest volume.

Answers

The box with dimensions 16" x 16" x 32" has the largest volume and meets the given condition.

How to determine the dimension of box

To maximize the volume of the rectangular box, you need to use the constraint that the sum of the height (h) and girth (g) does not exceed 96 inches.

Girth is the perimeter of the smallest side of the box, which can be expressed as g = 2(l + w), where l is the length and w is the width of the box.

Since h + g ≤ 96, we can rewrite the inequality as h + 2(l + w) ≤ 96.

Then, solve for h: h = 96 - 2(l + w).

The volume of the box is V = lwh.

Substitute h in the volume equation:

V = lw(96 - 2(l + w)).

To maximize the volume, use calculus by taking the partial derivatives of V with respect to l and w, and set them equal to zero.

After solving the system of equations, you'll find the dimensions l = 16 inches, w = 16 inches, and h = 32 inches.

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NEED HELP!!!!! How many solutions are there to this nonlinear system?

NEED HELP!!!!! How many solutions are there to this nonlinear system?

Answers

Answer:

2 solutions

Step-by-step explanation:

the reason is because the line passes through the parabola twice which thus gives it two solutions due to there being two points

Answer:

2

Step-by-step explanation:

hello,

we need to focus on the intersection points.

if there is no intersection point -> no solution

1 intersection point -> 1 solution

2 intersection point -> 2 solutions

and so on and so forth

so in your examples there are 2 solutions

hope this helps

The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.




Which represents the solution(s) of this system of equations?


(4, 4)

(–4, –12)

(4, 4) and (–4, 12)

(–4, 4) and (4, 12)

The first two steps in determining the solution set of the system of equations, y = x2 6x + 12 and y

Answers

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

What is the exact volume of the cylinder?

A. 18pi in
B. 36pi in
C. 54pi in
D. 63pi in

What is the exact volume of the cylinder?A. 18pi inB. 36pi inC. 54pi inD. 63pi in

Answers

Answer:

C. 54 pi in

Step-by-step explanation:

Volume of a cylinder = π r² h

V=3² *6*π

V=9*6*π

V=54π in

hope this helps

please mark as brainliest

B would be the right answer

when compared to quantitative and qualitative research respectively mixed methods research tends to be more complex or easier

Answers

Mixed methods research tends to be more complex when compared to quantitative and qualitative research respectively. This is because mixed methods research combines both quantitative and qualitative research methods in a single study.

Quantitative research involves the collection and analysis of numerical data, while qualitative research involves the collection and analysis of non-numerical data, such as words, images, and sounds.

Mixed methods research, on the other hand, involves the collection and analysis of both types of data. This requires the researcher to have a deeper understanding of both quantitative and qualitative research methods, as well as the ability to integrate the two types of data in a meaningful way.


Furthermore, mixed methods research often involves the use of multiple data sources, multiple research methods, and multiple levels of analysis. This adds an additional layer of complexity to the research process.

As a result, mixed methods research tends to be more complex than either quantitative or qualitative research alone.

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pls help asap if you can!!!!

pls help asap if you can!!!!

Answers

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

What are alternate interior angles

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?

Answers

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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what is the basic intuition behind matrix factorization? 2 that content filtering and collaborative filtering are just two different factorizations of the same rating matrix. 2 that factoring user and item matrices can partition the users and items into clusters that can be treated identically, which can reduce computation when making recommendations by retaining only representative users or items in each cluster. 2 that computing a user-user or item-item correlation is more efficient when first factoring matrices, even when including the cost of factoring matrices. 2 that users and items can be well described in a shared low dimensional space that can be computed from the rating matrice

Answers

Matrix factorization is a method that reduces the dimensionality of a rating matrix, revealing latent factors and enabling clustering in recommendation systems and data analysis.

Matrix factorization is a popular technique used in recommendation systems and data analysis. Its basic intuition lies in decomposing a large rating matrix into lower-dimensional matrices, allowing for better understanding and utilization of the underlying data.

One key intuition is that matrix factorization provides a way to represent users and items in a shared low-dimensional space. By factorizing the rating matrix, we can identify latent factors or features that capture the preferences and characteristics of both users and items. These factors can be computed from the rating matrix and enable a compact representation of the data.

Another insight is that matrix factorization allows for clustering of users and items. By factoring the user and item matrices, we can partition them into clusters based on similar characteristics. This clustering enables us to treat users or items within the same cluster identically, reducing computational complexity and making recommendations more efficient by retaining representative users or items in each cluster.

Furthermore, matrix factorization reveals that content filtering and collaborative filtering are two different factorizations of the same rating matrix. Content filtering focuses on the attributes of items, while collaborative filtering analyzes user-item interactions. By factorizing the matrix, we can bridge the gap between these two approaches and gain a more comprehensive understanding of the data.

Therefore, the basic intuition behind matrix factorization lies in finding a lower-dimensional representation of the rating matrix, identifying latent factors, enabling clustering of users and items, and providing a shared space to describe them. This technique proves valuable in recommendation systems, data analysis, and uncovering hidden patterns within complex datasets.

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Put these amounts of money in order, smallest to largest
£3.40
£0.34
£4.03
£0.43 €3.04​

Answers

Answer:

£0.34

£0.43

€3.04

£3.40

£4.03

Step-by-step explanation:

One pound (€) is less than one Pound Sterling (£), so 3.04 pounds is worth less than 3.40 Pound Sterlings.

0.34

0.43

3.04

3.40

4.03

What is the answer to this please help I got put in honors math (4)(25)-300

Answers

Answer: -200

Multiply 25 and 4.

(100)-300

-200

:)

A beverage company wants to manufacture a new juice with a mixed flavor, using only orange and pineapple flavors. Orange flavor contains 5% of vitamin A and 2% of vitamir C. Pineapple flavor contains 8% of vitamin C. The company's quality policies indicate that at least 20 L of orange flavor should be added to the new juice and vitamin C content should not be greater than 5%. The cost per liter of orange flavor is $1000 and pineapple flavor is $400. Determine the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice. A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice) B) Use a graphic solution for this problem C) What would happen if the company decides that the juice should have a vitamin C content of not greater than 7% ?

Answers

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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Practice Problems
0.22t
1. If left unchecked, a new strain of flu virus can spread from a single person to others very
quickly. The number of people affected can be modeled using the formula P(t) = e
where represents the number of days the virus is allowed to spread unchecked. Estimate
the number of people infected with the virus after 30 days and after 60 days.

Practice Problems0.22t1. If left unchecked, a new strain of flu virus can spread from a single person

Answers

An estimated 50118 peοple will be infected after 60 days

The given fοrmula fοr mοdeling the number οf peοple infected with the virus is:

\(P(t) = e^{0.22t\)

Tο estimate the number οf peοple infected after 30 days, substitute t = 30 intο the fοrmula:

\(P(30) = e^{(0.22*30)} = e^{6.6 = 787.9\)

Therefοre, an estimated 788 peοple will be infected after 30 days.

Tο estimate the number οf peοple infected after 60 days, substitute t = 60 intο the fοrmula:

\(P(60) = e^{(0.22*60)} = e^{13.2 = 50117.9\)

Therefοre, an estimated 50118 peοple will be infected after 60 days.

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convert 5 kilograms to grams

Answers

5,000 grams
1 kilogram=1,000 grams

Line segment PQ is the result of reflecting line segment AB across the x-axis.P has coordinates of (2,-2) and Q has coordinates (8,-2). What’s is the length of line segment AB.

Answers

The length of the line segment AB such that PQ is the reflection of AB will be 6 units.

What is a line segment?

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

If we reflect any curve about the x-axis then only the y coordinate changes its sign (x,y) → (x,-y).

Given PQ is a reflection of AB and P(2,-2) and Q (8,-2)

Therefore, A(2,2) and B(8,2).

The length of AB will be,

AB = √(8 - 2)² + (2-2)² = 6

Hence "The length of the line segment AB such that PQ is the reflection of AB will be 6 units".

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A bus leaves Deltaville at 11:32 it’s a travels at an average speed of 42 km/h if it arrives in eastwich at12:42 what is the distance between the two towns ?


Help pls I have a test after tomorrow

Answers

The distance between the two towns is 49 km

What is average speed?

Average speed is calculated by dividing distance by time (eg miles/hour).

The entire distance traveled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.

A body's average speed is its mean value over a given amount of time. Since a moving body's speed fluctuates over time and is not constant, an average speed formula is required. The total time and total distance numbers can be used, even with fluctuating speed, and with the aid of the average speed formula, we can get a single value to represent the entire motion.

Difference in times = 12:42 - 11:32 = 1.17 hours

Formula:

Distance = speed * time

               = 42 * 1.17

              = 49 km

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List three additional combos of length width and height that have a volume of 24 and please include the surface area too

List three additional combos of length width and height that have a volume of 24 and please include the

Answers

The solution is then:

l = 6cm

w = 2cm

h = 2cm

What is the total surface area of cuboid?

The surface area of a cuboid is the total area of all of the faces of a cuboid. If, the length (l), width (w), and height (h) of the cuboid

then, use the formula: surface area (SA)=2lw+2lh+2hw.

here, we have,

We know that the formula for the volume of a box is:

V = l*w*h

Where:

l = length

w = width

h = height

The formula of the surface area of a box is:

SA = 2(lw+lh+wh)

Based on the given we know the following:

24 =  l*w*h

and

56 =  2(lw+lh+wh)

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

24 = 6*2*2

Let:

l = 6cm

w =2cm

h =2cm    

Now let's try this on the surface area formula:

56 = 2(6*2+6*2+2*2)

so, 56 = 56

The answer is then:

l = 6cm

w = 2cm

h = 2cm

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There is a bag filled with 5 blue, 4 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?

Answers

Step-by-step explanation:

that means 2 blue or 2 red or 2 green.

12 marbles in total.

when the first marble is picked, there are only 11 left.

a probability is always the ratio of

desired cases / totally possible cases

the probabilty to pull first a blue marble is

5/12 = 0.416666666...

if that is the case, then the probabilty for the second marble to be blue too is

4/11 = 0.363636363...

(there are only 4 blue marbles in a total of 11 marbles).

and the probabilty for getting 2 blue marbles is

5/12 × 4/11 = 20/132 = 5/33 = 0.151515151...

the probabilty to pull first a red marble is

4/12 = 1/3 = 0.333333333...

if that is the case, then the probabilty for the second marble to be red too is

3/11 = 0.272727272...

(there are only 3 red marbles in a total of 11 marbles).

and the probabilty for getting 2 red marbles is

1/3 × 3/11 = 3/33 = 1/11 = 0.0909090909...

the probabilty to pull first a green marble is

3/12 = 1/4 = 0.25

if that is the case, then the probabilty for the second marble to be green too is

2/11 = 0.181818181...

(there are only 2 green marbles in a total of 11 marbles).

and the probabilty for getting 2 green marbles is

1/4 × 2/11 = 2/44 = 1/22 = 0.045454545...

the probabilty to have any of these 3 mutually exclusive cases (to get a pair of the same color) is the sum of the probabilities :

0.151515151... + 0.09090909... + 0.045454545... =

5/33 + 1/11 + 1/22 = 10/66 + 6/66 + 3/66 = 19/66 =

= 0.287878787...

if a function is one to one then the range becomes the what of the inverse function

Answers

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

How many lines of symmetry does the picture have?

A.0

B.3

C.2

D.1

Answers

The number of lines of symmetry does the picture has 3. (option b)

Symmetry is a fascinating concept in mathematics and art that deals with the balance and proportion of an object or image.

Now, coming to the question of how many lines of symmetry a picture has, we need to analyze the image closely and identify if any lines divide it into two identical parts.

Option B says that the picture has three lines of symmetry, which is a bit tricky. Generally, an object or shape can have one, two, or more lines of symmetry. However, in this case, if we observe the picture closely, we can see that there are no three lines that divide it into two identical parts.

To summarize, the correct answer is B, which means that the picture has three lines of symmetry.

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How many lines of symmetry does the picture have?A.0B.3C.2D.1

can you give me a quick run down on how multiplying binomials in the area method and distribution method work.

Answers

To multiply binomials using area method and distribution method.

Let's take the binomials:

(x + 4) and (x + 5)

Area Method:

Using area method, let's assume area of a rectangle which is Length x Width.

Let length = (x + 4)

Width = (x + 5)

(x + 4)(x + 5)

Let's take the rectangle below:

How we got value inside the box:

x*x = x²

x*5 = 5x

4*x = 4x

4*5 = 20

Now, write sum up the values inside the box:

x² + 5x + 4x + 20

= x² + 9x + 20

Using distributive method:

(x + 4)(x+5)

Use distributive property, we have:

Distribute the x in the first binomial to the second, also distribute the 4 in the first binomial to the second.

x(x + 5) + 4(x + 5)

= x*x + x*5 + 4*x + 4*5

= x² + 5x + 4x + 20

= x² + 9x + 20

can you give me a quick run down on how multiplying binomials in the area method and distribution method

If the unit price for cantaloupe is $0.65 per pound and Sally pays $1.95 for a cantaloupe, how many pounds does her cantaloupe weigh

Answers

Answer:

3 Pounds

Step-by-step explanation:

To get how many pounds the cantaloupe weighs, you have to divide 1.95 by 0.65.  After dividing you get 3 pounds.

Please come and help me with this! Best Answer get Brainliest!!!!! :D


Please number your responses to the questions as they are shown (1a, 1b)


a. Create a quadratic expression in standard form.


b. Rewrite the expression by completing the square. Explain your work using complete sentences.

Answers

Answer:

A = Solve 5x2 + 6x + 1 = 0

B= Coefficients are: a = 5, b = 6, c = 1

Quadratic Formula: x =  −b ± √(b2 − 4ac)2a

Put in a, b and c: x =  −6 ± √(62 − 4×5×1)2×5

Solve: x =  −6 ± √(36 − 20)10

 x =  −6 ± √(16)10

 x =  −6 ± 410

 x = −0.2 or −1

Answer: x = −0.2 or x = −1

Step-by-step explanation:

there you go

2. What is the average salary offered to a Stony Brook college graduate? To study this question you and a friend interview N students that graduated last year, and ask them what they earn. Student i's response was recorded as Yi. You are interested in the average, My. You assumed that the sample of Y's is iid. First you calculate the following estimate of uy: W1 N 1 N i=1 ΣΥ. . You and your friend each collected half the data. Thus you collected Y1, ..., YN/2 and your friend collected Yn/2+1, ... , Yn. Unfortunately, it turns out that your friend collected the data at a wild alumnae party, and you suspect that these data may not be as precise as your data. So whereas the variance of your data is, var(Y;) = 0%, i = 1, ...,N/2. then your friends data have the variance, var(Y) = oʻ(1 + 3c), i=N/2+1, ...,N, for some constant c> 0. (d) Your friend is sorry that half the data are not as precise as they could have been, and suggest that you discard the noise data, and simply use hr Na Ex? Y; as your estimator for my. Which estimator is most efficient (has the smallest variance) în or îz? Does your answer depend on c? = N.Σ. (Υ – μ.) - = (e) Suppose now that c = 0 such that var(Y;) = o2 for i = 1, ...,N. You have N = 300 observation and calculate s2 = 20,000,000 and î1 = $48,000. Before collecting the data, your friend argues mean salary, my, is s $50,000, using a 1% significance level. Write down the confidence interval at 1% significance level and decide whether you will accept your friend's

Answers

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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