A baseball team plays in a stadium that holds 60,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. (a) Find a function that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x) = 63000x - 3000x2 R (b) Find the price that maximizes revenue from ticket sales. $ 33,000 (c) What ticket price is so high that no revenue is generated?

Answer:

A I think

Step-by-step explanation:

The answers are as follows:

1. Is salesperson creativity always a good thing?

Please explain.

Creativity is a great quality to possess, but it is not a necessity when it comes to sales.

The most significant factor is to focus on the customer's needs and provide solutions to their problems. Creativity can help the salesperson in achieving the target and gaining new customers.

However, it may also lead to the introduction of new and innovative products that can lead to a loss instead of profit.

Therefore, creativity should not be the only factor for sales success.

2. Can you train salespeople to be creative? Please explain. If you answered yes, how? If you answered no, why not?

Creativity is an essential skill, but not everyone possesses it naturally. However, it is possible to train salespeople to be more creative.

One way to do this is to provide them with new and unique training programs. It will help in nurturing their creativity and encouraging them to think outside the box.

Another way is to provide them with real-life case studies and give them time to brainstorm. This will help in enhancing their critical thinking and problem-solving abilities.

Yes, it is possible to train salespeople to be creative.

3. How have you acted creatively in solving a customer issue? (this is a GREAT one to have ready for an interview!)

In my previous job, I once had a customer who had a unique issue. The customer was unhappy with the color of the product, and no other product was available in that particular color. The customer wanted to return the product, but that was not possible as per the company's policy.

Therefore, I suggested that we paint the product in the desired color. This solution was approved by the company, and the customer was delighted with the outcome.

It was a creative solution that helped in retaining the customer and creating brand loyalty.

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The point estimate for least-squares regression line x=1 is approximately 3.85, and the point estimate for x=7 is approximately 24.02.

In a linear regression, the coefficient of determination (R-squared) is a statistical indicator that shows how much of the variance in the dependent variable is explained by the independent variable (s). Higher values suggest a better fit of the regression line to the data, and it has a value between 0 and 1. R-squared is derived by dividing the regression's sum of squares (SSR) by the sum of all squares (SST).

The least-squares regression line is given by the formula:

b1 = Σ[(xi - x)(yi - y)] / Σ[(xi - x)²]

The means of x and y:

x = (−2 + 2 + 5 + 7 + 10) / 5 = 4.4

y = (2 + 9 + 13 + 19 + 24) / 5 = 13.4

Substituting the value we have:

Σ[(xi - x)(yi - y)] = (-2-4.4)(2-13.4) + (2-4.4)(9-13.4) + (5-4.4)(13-13.4) + (7-4.4)(19-13.4) + (10-4.4)(24-13.4) = 400.8

Σ[(xi - x)²] = (-2-4.4)²+ (2-4.4)² + (5-4.4)² + (7-4.4)² + (10-4.4)² = 86.8

Thus, the value of:

b1 = Σ[(xi - x)(yi - y)] / Σ[(xi - x)²] = 400.8 / 86.8 ≈ 4.617

Now, for y-intercept we have:

b0 = y - b1x = 13.4 - 4.617(4.4) ≈ -0.767

y = -0.767 + 4.617x

Now, the point estimate is:

For x=1, y = -0.767 + 4.617(1) ≈ 3.85

For x=7, y = -0.767 + 4.617(7) ≈ 24.02

Therefore, the point estimate for x=1 is approximately 3.85, and the point estimate for x=7 is approximately 24.02.

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Hey there!

The correct answer is 2x²3y³

Hope it helps and have an amazing day!

The final expression of 2 x X x X x 3 x y x y x y is 2x²y³.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The expression: 2 x X x X x 3 x y x y x y

There are two X and three y.

Now,

X x X = X²

y x y x y = y³

Now,

2 x X x X x 3 x y x y x y

= 2x²y³

Thus,

The expression is 2x²y³.

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Answer:

See below:

Step-by-step explanation:

So first, Paul has a number that he got before he multiplied it, we can call that \(p\), and for his answer after doubling it. we'll call it \(n\).

So with this information, we know that \(n=13.1\) so we can use that to make an equation.

\(p*2=n\\p*2=13.1\)

We can solve it by first dividing on both sides and getting our answer.

\(p=\frac{13.1}{2} \\p=6.55\)

Cheers! We get our final answer of 6.55.

The shape of the shed and the process for arriving at the solution of the word problem are as follows;

a. The number of walls in the shed are 8 walls and the shape of the shed is an octagon

b. The amount Mary has budgeted for the storage shed is divided by the unit cost of a panel and one bracket for joining the bracket to find the number of panels, which indicates the shape of the shed Mary builds.

c. The door is assumed to cost the same as one panel

A word problem is an exercise in math or science that consists of the background information to the problem being introduced using everyday language rather that mathematical equations.

Parts of the question information obtained from a similar question online includes;

The number of walls Mary wants = As most as possible

The cost of the panels = $0.89 per square foot

Cost of the brackets for joining the panels = $6.50

Her budget for the wall of the shed = $500

a. The number of walls Mary will be able to build is found as follows;

The cost of each rectangular wall panel = 7 ft × 8 ft × $0.89/ft² = $49.84

The cost of a panel and a bracket = $49.84 + $6.50 = $56.34

The number of panels in the shed, n = The ratio of her budget to the cost of a panel and bracket

\(n =\dfrac{\$500}{\$56.34} \approx 8.87\)

The number of panels in the shed she will be able to build with her budget is 8 panels

The shape of the storage shed she can build is an octagon

b. The solution process is to find the cost of a unit of material which is the cost of a panel and a bracket, then dividing the budget by the unit cost to find the number of panels in the shed.

The number of panels indicates the polygon she forms by the shed

c. The assumption made is in the cost of the door, which is assumed to cost the same as a panel and a bracket

The parts of the complete question are;

a. The number of walls the shed can have within Mary's budget, and what shape is the storage shed

b. Provide a description of the process of finding a solution

c. The assumptions made

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Answer:

39 & —34

Step-by-step explanation:

ATTACHED PICTURE!

Answer:

g(7)= -4

Step-by-step explanation:

10-2(7)

10-14

=-4

The value of g(7) is -4.

A function is a relationship between inputs where each input is related to exactly one 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,

g(x) = 10 - 2x

For x = 7,

g(7) = 10 - 2 x 7

g(7) = 10 - 14

g(7) = -4

Thus,

g(7) = -4.

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Answer:

The slope of line r is -3/4

Step-by-step explanation:

First, let's find the slope of line q. We can find the slope by finding the change in y over change in x.

\(\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Therefore, substitute in:

\(\displaystyle{m=\dfrac{8-4}{6-3}}\\\\\displaystyle{m=\dfrac{4}{3}}\)

Therefore, the slope of line q is 4/3. Since we want to find the slope of line r and we know by the given that line r is perpendicular to line q. By the definition of perpendicular line is \(\displaystyle{m_1m_2=-1}\).

Let \(m_1\) be slope of the line q which is 4/3. Therefore, substitute in and solve for \(m_2\) (slope of line r)

\(\displaystyle{\dfrac{4}{3}m_2=-1}\\\\\displaystyle{4m_2=-3}\\\\\displaystyle{m_2=-\dfrac{3}{4}}\)

Therefore, the slope of line r is -3/4

The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

1. The standard deviation of the sampling distribution is not 115 mmHg. To calculate it, use the formula σ/√n, where σ is the population standard deviation, and n is the sample size. In this case, σ = 3 mmHg and n = 100. So, the standard deviation of the sampling distribution is 3/√100 = 3/10 = 0.3 mmHg.

2. Your answer of 0.03 mmHg is incorrect. As calculated above, the correct standard deviation of the sampling distribution is 0.3 mmHg.

3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which in this case is given as a Normal distribution.

4. Your 95% CI calculation is incorrect. To calculate the 95% CI, use the formula µ ± (critical value * standard deviation of the sampling distribution). In this case, µ = 115 mmHg, the critical value is 1.96, and the standard deviation of the sampling distribution is 0.3 mmHg. So, the 95% CI is 115 ± (1.96 * 0.3) = 115 ± 0.588. This results in a 95% CI of 114.41-115.59 (rounded to two decimal places).

The standard deviation of the sampling distribution is 0.3 mmHg. It is true that to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. The 95% CI for the sampling distribution of the mean blood pressure is 114.41-115.59.

1. Your answer is incorrect.

The standard deviation of the sampling distribution is calculated using the formula:

the standard deviation of the population / √(sample size).

In this case, it would be

3 mmHg / √(100) = 3 mmHg / 10

The standard deviation of the sampling distribution = 0.3 mmHg.

2. Your answer is incorrect, as explained in the previous point. The correct standard deviation of the sampling distribution is 0.3 mmHg.

3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which is given as a Normal distribution.

4. Your answer is close but slightly off.

To calculate the 95% CI (confidence interval) for the sampling distribution of the mean blood pressure, we use the formula:

average ± (critical value × standard deviation of the sampling distribution).

In this case, it would be

115 ± (1.96 × 0.3) = 115 ± 0.588.

So, the correct 95% CI is 114.41-115.59 when rounded to two decimal places.

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Answer:

\(n=-4\)

Step-by-step explanation:

So we have the equation:

\(2+4(2-3n)=58\)

First, distribute the second term:

\(2+4(2)-4(3n)=58\\2+8-12n=58\)

Add the left side:

\(10-12n=58\)

Subtract both sides by 10. The left side cancels:

\((10-12n)-10=(58)-10\\-12n=48\)

Divide both sides by -12. The left side cancels:

\((-12n)/-12=(48)/-12\\n=-4\)

Therefore, the value of n is -4.

⇒2 + 4(2 - 3n) = 58

⇒4(2 - 3n) = 58 - 2

⇒2*4 - 3n*4 = 56

⇒8 - 12n = 56

⇒-12n = 56 - 8

⇒-12n = 48

⇒-n = 48/12

⇒-n = 4

⇒n = - 4

Hence, value of n is - 4

ANSWER

EXPLANATION

We want to factor the given expression using the greatest common factor.

To do this, we have to factor out common terms in the terms given in the expression. The two terms in the expression are divisible by 10.

Hence, we can factor the expression as follows:

The expression has been factored using GCF.

Answer:

83.9-0.584=83.316 is the answer

Step-by-step explanation:

i hope this will help you :)

Answer:

Step-by-step explanation:

83.900-

  0.584

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

 83.316

The objective function is "min 2m + 3b" which represents the cost of making m units and buying b units. To find the optimal solution, we need to minimize this cost. To begin, we are given that the total number of units needed is 4000. This implies that m + b = 4000.

Now, let's solve for m and b separately.
1. Solving for m:
We want to minimize the cost of making m units, which costs $2 per unit. Therefore, the cost of making m units is 2m dollars.
2. Solving for b:
We want to minimize the cost of buying b units, which costs $3 per unit. Therefore, the cost of buying b units is 3b dollars.

To summarize:
- The cost of making m units is 2m dollars.
- The cost of buying b units is 3b dollars.
- The total number of units needed is 4000, so m + b = 4000.

The objective function "min 2m + 3b" represents the total cost. We want to minimize this cost.

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Answer:

Its 16

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

n -2 is 1/16

1/16

1/n^2 is 1/16

Answer:8750

Step-by-step explanation:

I did 5000 times .25(1/4 as a decimal) which equals 1250. Then 1250 times 3(year) equals 3750. 5000 plus 3750 is 8750

The alternative hypothesis is stated as Ha: μ1 - μ2 ≠ 0, for the given sample mean 7.24 minutes and standard deviation of 1.88 minutes.

Based on the given information, the auditor wants to determine whether the population mean call duration is different for the call center in Auburn compared to the call center in Lewiston. The auditor uses recordings from randomly sampled calls for this analysis.

The sample mean of the 125 randomly selected calls to the Auburn call center is 7.24 minutes, with a sample standard deviation of 1.88 minutes. The sample mean of the 125 randomly selected calls to the Lewiston call center is 7.93 minutes, with a sample standard deviation of 2.13 minutes.

To test the hypothesis, the auditor assumes that the population standard deviations of the two groups are equal. The alternative hypothesis is stated as Ha: μ1 - μ2 ≠ 0.

Please note that the significance level (α) is not mentioned in the question.

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The correct statement is D. Segment RT is an altitude of triangle QRS

Altitude in a right triangle refers to the line segment drawn from the right angle of the triangle to the opposite side, forming a perpendicular line.

The length of this altitude is also known as the height of the triangle.

The altitude of a right triangle can be calculated using the Pythagorean theorem or trigonometric functions, depending on the information given.

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Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

rb1 and assuming rb1 is not haploinsufficient, both alleles of rb1 must be mutated for cancer progression to occur.

In order for cancer progression to occur, mutations in both copies of the rb1 gene are typically required. The rb1 gene is a tumor suppressor gene, and it follows a "two-hit" hypothesis. This means that both copies of the gene, one from each parent, need to be mutated or inactivated for the gene's tumor suppressor function to be lost.

If only one allele of rb1 is mutated, it is not sufficient to cause cancer progression because the other functional copy of the gene can still carry out its tumor suppressor role. However, when both copies of rb1 are mutated or inactivated, it disrupts the normal function of the gene and can lead to uncontrolled cell growth and the development of cancer.

Therefore, in the context of rb1 and assuming rb1 is not haploinsufficient, both alleles of rb1 must be mutated for cancer progression to occur.

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The given statement "the difference of the two means falls outside the confidence interval, so we reject the null hypothesis" is True because a null hypothesis (H0) that there is no significant difference between the two population means.

We then calculate a confidence interval, which is a range of values within which we expect the true population difference to lie with a certain level of confidence, typically 95%. When comparing the means of two groups, we calculate the difference between the sample means and determine the associated confidence interval. If this confidence interval contains the value 0, it means that the true population difference may indeed be 0, and we fail to reject the null hypothesis.

However, if the confidence interval does not contain 0 and the difference between the two means falls outside this interval, it indicates that the true population difference is not likely to be 0. In this case, we reject the null hypothesis and accept the alternative hypothesis (H1), which suggests that there is a significant difference between the two population means.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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Answer:

No

Why he is not correct is because the y-intercept is the coordinate of the point where the graph meets or crosses the y-axis, which is equivalent to a point on the graph where the x-coordinate value reduces to zero, or to put it in a mathematical form x = 0

Step-by-step explanation:

From the given data, we have;

x     \({}\)       y

2     \({}\)      -2

4     \({}\)       0

6      \({}\)      2

8      \({}\)      6

The given data is linear because it has a constant first (common) difference of 2

The general form of the straight line equation is y = m·x + c

Where;

m = The slope

c = The y-intercept

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

The slope of the graph of the data from any two points, (x₁, y₁) = (4, 0) and (x₂, y₂) = (4, 0)) is m = (2 - 0)/(6 - 4) = 1

The equation representing the data in point and slope form is therefore;

y - 4 = 1 × (x - 0)

Which gives;

y = x + 4

Therefore, the y-intercept = 4.

Answer:

2/3

Step-by-step explanation:

You have 6 letters, and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

Answer:

1/6

Step-by-step explanation:

\( \frac{4}{6} \times \frac{1}{4} \)

She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.

We can use the next proportion:

Solving for x:

She uses 1/10 quart of yellow paint for every quart of paint