A travel agent made arrangements for a school team and fans to travel to a tournament. The agent wrote the following equation for the profit she expected to make from the trip, where n is the number of people traveling:

P = 75n – 25(n +20)





Use one of the two equations to determine the number of travelers for which the travel agent’s profit will be equal to zero. Is there more than one answer?

The mean of the number of houses burglarized in this sample is 4.5 based on probability.

The probability of a house in an urban area being burglarized is 15%. This means that out of every 100 houses, 15 will be burglarized.

If 30 houses are randomly selected, we can use the binomial distribution to find the mean number of houses burglarized. The formula for the mean of a binomial distribution is:

Mean = n * p

where n is the number of trials (in this case, 30) and p is the probability of success (in this case, 0.15).

Substituting these values, we get:

Mean = 30 * 0.15
Mean = 4.5

Therefore, the mean number of houses burglarized out of 30 randomly selected houses is 4.5. Note that this is an expected value and may not represent the actual number of houses burglarized in any particular sample of 30 houses.
To find the mean of the number of houses burglarized, we can use the formula:

Mean = (Probability of success) x (Number of trials)

In this case:
- Probability of success (a house being burglarized) is 15%, or 0.15 as a decimal.
- Number of trials (randomly selected houses) is 30.

Using the formula, we get:

Mean = (0.15) x (30) = 4.5

So, the mean of the number of houses burglarized in this sample is 4.5.

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The error represented in this scenario is an inappropriate task allocation or a mismatch between job responsibilities and the assigned task during the interview process.

The primary role of a customer service representative is to interact with customers, address their concerns, and log calls professionally and efficiently. In contrast, performing a detailed analysis of call-in data falls under the domain of data analysis or business intelligence roles.

By asking the candidate to perform a task unrelated to their potential job responsibilities, the company may not accurately assess the candidate's aptitude for customer service tasks. This error could lead to selecting a candidate who may excel in data analysis but may not possess the necessary communication and problem-solving skills required for a customer service representative position.

To avoid this error, the company should focus on evaluating candidates based on their skills, experience, and performance in tasks directly relevant to the customer service role.

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Answer:

y = (x+5)(x+2)(4x-3)

Step-by-step explanation:

This is almost correct but the problem is that the signs should be flipped...

Why? If we solve for x-5=0 the answer we would get is 5, but the graph shows -5 as its zero so that doesn't match

The revised version would be the opposite signs

y = (x+5)(x+2)(4x-3)

The dean of students at a large college is interested in learning about their opinions regarding the percentage of students who are satisfied with their academic experience. This is an important question for the dean to consider, as it can help them identify areas for improvement and ensure that they are meeting the needs of their students.

To gather this information, the dean may choose to conduct a survey or hold focus groups with students to hear their feedback. They may also review data on student retention rates and academic performance to get a sense of how satisfied students are with their experience at the college.

Once the dean has gathered this information, they can use it to make informed decisions about how to improve the academic experience for their students. This may involve investing in new programs or resources to better support students, or making changes to existing programs based on feedback from students.

Ultimately, by taking the time to gather and listen to student opinions about their academic experience, the dean can create a more student-centered learning environment that meets the needs and expectations of their diverse student population.

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If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.

Now, in ΔADB, we have

AD^2=AB^2-BD^2

AD^2=AB^2-(1/2AB^2)^2

AD=√3/4AB^2

we can find the height of any one of the roof's triangular bases.

2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.

The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.

(it would be equilateral if all had the same length, and isosceles if two sides have the same length).

The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.

(acute with no angles of 90º or greater, right with one angle of exactly 90º).

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Answer:

f equals 85

Step-by-step explanation:

85 times 5 equals 425 plus 25 equal to 450

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

The graph of the parent quadratic function is the bottom graph.

The parent quadratic function is:

f(x) = x^2

The graph of this is known as a parabola, this is a curve with an axis of symmetry at line x = 0 (or just the y-axis)

With that in mind, the only option that shows a parabola is the bottom option (Which shows a parabola that passes through (0, 0) with both arms opening upwards).

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On the weekends, Dianelys works as a volunteer at the main library. She noted that 314 people are anticipated to attend social issues.

The chance that a happening will occur, such as rolling a five on the die or selecting a diamond from a deck of cards, is known as probability. This is computed using the formula, \(P(A) =\frac{\text{number of favorable events}}{\text{total number of outcomes}}=\frac{n}{N}\)

There were 349 visitors to the youth wing, 333 to the social issues session, and 485 to the fiction and literary session. The probability of selecting social issues is then,

\(\begin{aligned}P(\text{social issues})&=\frac{n}{N}\\&=\frac{333}{349+333+485}\\&=\frac{333}{1167}\\&=0.2853\\&\approx28.53\%\end{aligned}\)

Then, the number of people expected to go to social issues is,

\(\begin{aligned}N &= 0.2853\times 1100\\&=313.83\\&\approx314\end{aligned}\)

The required answer is 314 people.

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Answer:

\(t=1.8g\)

Step-by-step explanation:

When the tip increases the number of guests increases as well.

\(t =kg\)

k is the proportionality constant.

\(t=1.8g\)

Answer:

Its A

Step-by-step explanation:

I got you homie

$11.83 b/c 13.00 x 0.09 = 1.17   13 - 1.17= 11.83

Answer:

c

Step-by-step explanation:

i got i wrong with b and d and it showed me the right aswer

Answer:

Step-by-step explanation:

g

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

Answer:

156 ft

Step-by-step explanation:

area formula is:

length x width

(A= l*w)

12 x 13 = 156

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

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Step-by-step explanation:

the answer is 2.50+1.50+733=737

The graph of the linear inequality is shown below.

What is linear inequality?

A linear inequality is one that, if the equals relation were employed in place of the inequality, would result in a linear equation. The direction of the inequality is reversed when both sides are multiplied or divided by a negative integer to solve it. The solution set refers to all possible answers to an inequality.

We are given y < -x-4

In order to sketch the graph of the inequality, we need to have two points.

So, first let's put x = 0

So, we get y = -4

Now, let's put y = 0

So, we get x = -4

Thus, we get the points as (0,-4) and (-4,0)

From the points, the graph is sketched which is shown below.

Hence, the graph of the linear inequality is obtained.

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Since, there are multiple questions, so the question answered above is attached below

Step-by-step explanation:

WYXV is quadrilateral.

the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)

ABCD is a rectangle.

AB and CD are parallel and equally long. and C is 90°.

that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.

PQSR is a parallelogram.

PQ and RS are parallel and equally long.

that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.

Answer:

A . $46

Step-by-step explanation:

because 575 - 8% = 529

529 + 49 = 575

If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).

1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over

(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =

13∗14∗15 over

(1∗2∗3)

27306 = 455

Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).

Step-by-step explanation:

The first and second numbers are 4 and 3 respectively.

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication and division.

Let x be the first number and y be the second number.

The sum of two numbers is 7, hence:

x + y = 7      (1)

The second number is 1 less than the first number. Hence:

y = x - 1    (2)

From both equations, solving simultaneously:

x = 4, y = 3

The two numbers are 4 and 3 respectively.

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Answer:

-\(17^\circ F\)

OR

\(17^\circ F\) decrease in the temperature.

Step-by-step explanation:

Given that:

Temperature at the night  = \(12^\circ F\)

Temperature in the morning = -\(5^\circ F\)

To find:

The total difference in the temperature = ?

Solution:

Difference of any quantity is given by the Final value of quantity minus Initial value of quantity.

Therefore, the difference is given as : -\(5^\circ F\) - \(12^\circ F\) = -\(17^\circ F\)

Negative value in the difference indicates that there is a decrease of the quantity.

So, the answer is:

-\(17^\circ F\)

OR

there is decrease of \(17^\circ F\) in the temperature.

The next term would be 3 then 1 in the sequence 243, 81, 27, 9,... by the term of sequence and series through mathematical sequencing.

A grouping of numbers in a kind of a specific order is known as a sequence. On the other hand, a series can also be described as the accumulation of a kind of a sequence’s constituent parts.

Basically, the sequence proceeds with a dividing term of 3. The sequence will go on with the square root of the previous number. Basically, from backward, the sequence is an exponential multiple of 3.

Mathematical sequence and series formulas pertain to several kinds of sequences and series. A series is the accumulation of elements in a sequence, which is a group of arranged elements that follow a pattern.

The formulas for the nth term and the sum are typically included in the sequence and series formulas.

A series is made up of all the elements in a sequence, while a sequence is a certain arrangement of elements in a specific order.

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8400000cm

84 kilometer is 8400000 centimeter.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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Answer:

Twelve 10 dollar bills

Step-by-step explanation:

10, the value of a 10$ bill, times twelve equals 120$

Answer:

98/15

Step-by-step explanation:

21/5+7/3

63/15+35/15

=98/15

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