The Fandago Bike Company specializes in children’s bikes. Each month, the company must keep track of their costs and revenue. Their costs consists of fixed costs that include rent, utilities, and workers’ salaries, as well as the variable cost to make the bikes. You can represent the company’s costs using the function C(x) = 25x + 900. You can represent the company’s revenue for every bike sold using the function R(x) = 100x - x².

Due to the rising costs of running a business, the Fandago Bike Company anticipates fixed costs in the next year to be $1800 per month, whereas the cost to make each bike will stay at $25 per bike.

Determine the number of bikes the company now needs to make for one month to break even when the revenue from selling bikes remains the same.

Answer:

5/25, 1/5, or 20%

Step-by-step explanation:

Based on the experiment the dice lands on 2 five times, giving you the experimental probability

Answer: To find the ordered pair that is a solution of the equation y = 4x - 7, we need to substitute the values of x and y into the equation and see if it is true.

If (x, y) is a solution, then y = 4x - 7 must be true for that particular x and y.

Option A: (2, 1)

Substituting x = 2 and y = 1 into the equation, we get:

1 = 4 * 2 - 7

1 = 8 - 7

1 = 1

Since the equation is true for x = 2 and y = 1, (2, 1) is not a solution of the equation.

Option B: (4, 9)

Substituting x = 4 and y = 9 into the equation, we get:

9 = 4 * 4 - 7

9 = 16 - 7

9 = 9

Since the equation is true for x = 4 and y = 9, (4, 9) is a solution of the equation.

Option C: Both (2, 10) and (4, 9)

Substituting x = 2 and y = 10 into the equation, we get:

10 = 4 * 2 - 7

10 = 8 - 7

10 = 3

Since the equation is not true for x = 2 and y = 10, (2, 10) is not a solution of the equation.

So, the only ordered pair that is a solution of the equation y = 4x - 7 is (4, 9). The answer is B) only (4, 9).

Step-by-step explanation:

The requried Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR. Option A is correct.

A straightforward method of expressing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, with a vertical line inside to indicate the median value.

Here,
Burger Quick is able to estimate its wait time more consistently because it has a smaller interquartile range (IQR). The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is around the median, which is represented by the line within the box in the box plot.

In this case, Burger Quick has a smaller IQR (8.0) compared to Super Fast Food (7.0), indicating that the wait times at Burger Quick are more consistent around the median. The range, which is the difference between the maximum and minimum values, is not a good measure of consistency as it is affected by outliers.

Therefore, based on the given information, Burger Quick is able to estimate its wait time more consistently because it has a smaller IQR.

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Answer:

(5 , 3)

Step-by-step explanation:

x + y = 8 ----------------(I)

-x + 3y = 4 ----------(II)

Add equation (I) and (II) and so x will be eliminated and we can find the value of y

(I)      x + y    = 8

(II)   -x   + 3y = 4  

             4y = 12  {Divide both sides by 4}

y = 12/4

y = 3

Plugin y = 3 inn equation (I)

x + 3 = 8 {Subtract 3 from both sides}

     x = 8 -3

x = 5

Answer:

38

Step-by-step explanation:

30 = X-8

+8    +8

38=x

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Answer:

y=16 and x=19

Step-by-step explanation:

Let's solve your system by elimination.

−2x+3y=10;10x−9y=46

Multiply the first equation by 5,and multiply the second equation by 1.

5(−2x+3y=10)

1(10x−9y=46)

Becomes:

−10x+15y=50

10x−9y=46

Add these equations to eliminate x:

6y=96

Then solve6y=96for y:

6y=96

6y

6

=

96

6

(Divide both sides by 6)

y=16

Write down an original equation:

−2x+3y=10

Substitute16foryin−2x+3y=10:

−2x+(3)(16)=10

−2x+48=10(Simplify both sides of the equation)

−2x+48+−48=10+−48(Add -48 to both sides)

−2x=−38

−2x

−2

=

−38

−2

(Divide both sides by -2)

x=19

Answer:

x=19 and y=16

The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equations:

10x - 9y = 46                              (1)

-2x + 3y = 10                             (2)

Multiply equation 2 by 3

3 (-2x + 3y) = 10 × 3  

-6x + 9y  = 30                               (3)

Add equation 3 and equation 1

10x - 9y + (-6x) + 9y = 46 + 30

4x = 76

x = 76 / 4 = 19

Put x = 19 in equation 2

-2 × 19 + 3y = 10

3y = 10 + 38

y = 48 / 3

y = 16

Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

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Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

Rounding up to the nearest whole number, we would need a sample size of at least 105 businesses to construct a 99% confidence interval with a 4% margin of error.

To determine the sample size required to construct a 99% confidence interval for the proportion of businesses with a 4% margin of error, we need to use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (99% confidence level corresponds to a Z-score of approximately 2.576)

p = estimated proportion (since we don't have an estimate, we can assume p = 0.5 to get a conservative estimate)

E = margin of error (0.04 or 4%)

Plugging in the values, we have:

n = (2.576^2 * 0.5 * (1-0.5)) / 0.04^2

n = (6.638176 * 0.25) / 0.0016

n ≈ 104.364

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Step-by-step explanation:

4x-3y=-1

4x+y=11

\(4x = - 1 + 3y \\ x = \frac{ - 1 + 3y}{4} \)

\( - 1 + 3y = 11 - y \\ 3y + y = 11 + 1 \\ 4y = 12 \\ y = 3\)

\(x = \frac{ - 1 + 3 \times 3}{4} \\ x = \frac{ - 1 + 9}{4} \\ x = \frac{8}{4} = 2\)

Based on the analysis, discuss any differences observed between the two training methods. Discuss the analysis and findings. Reflect on the results of the analysis.

However, I can guide you on how to approach the analysis and provide you with a general outline of the steps you can follow:

Read the case problem

Review the case problem from Chapter 11 of the ebook related to the Air Force training program.

Perform the analysis

a) Run the F-test two-sample for variances:

Using Excel's Data Analysis ToolPak, follow the instructions from the provided video to perform an F-test two-sample for variances on the training data file.

b) Summarize the training time data:

Calculate appropriate descriptive statistics (e.g., mean, standard deviation) for each training method. Compare the summary statistics to identify similarities or differences between the two methods.

c) Conduct a hypothesis test on the difference between population means:

Perform a hypothesis test (e.g., independent t-test) to assess whether there is a statistically significant difference between the population means of the two training methods. Interpret and discuss the findings.

d) Calculate standard deviation and variance:

Compute the standard deviation and variance for each training method. Compare the values to gain insights into the variability within each method.

e) Conduct a hypothesis test on the equality of population variances:

Perform a hypothesis test (e.g., F-test) to determine if there is a significant difference in population variances between the two training methods. Analyze the results and discuss the findings.

f) Draw conclusions and provide recommendations:

Based on the analysis, discuss any differences observed between the two training methods. Provide a conclusion and recommendation on which training method appears to be more effective. Justify your recommendation with supporting evidence from the analysis.

Discuss the analysis and findings

Reflect on the results of the analysis. Identify any surprising or noteworthy findings. Formulate recommendations based on the findings and include specific details from the managerial report to support your recommendations.

Please note that without access to the actual data or case problem, the guidance provided is general in nature. It's important to adapt the steps to the specific case problem and data provided in the ebook.

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Answer: The answer that is false is “Initially, Cassie has $20 dollars in her account.”

Step-by-step explanation: The reason why this is false is because the first statement that the slope of the line is -20 is true. The formula for slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Next the initial value is 275 because in these problems the y-intercept is technically the starting value in these problems. So since the initial value is 275 the last statement is false.

Have a nice day!

Answer:

$0.4

Step-by-step explanation:

Let cost per bag = x

Number of bags purchased = 3

Amount given to shopkeeper = $2

Change gotten = $0.80

(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper

(x * 3) + 0.80 = 2

3x + 0.80 = 2

3x = 2 - 0.80

3x = 1.20

x = 1.20 / 3

x = 0.4

$0.4

The area of the square in the question is approximately 800 square feet.

Hence, the length of each side of the square is between 28 feet and 29 feet.

(side length)².

Hence,

(side length)² = 800 ft²

Square root both sides

√(side length)² = √800 ft²

side length = 28.284271247 ft

Therefore, based on the options given in the question,

The length of each side of the square is between 28 feet and 29 feet

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Answer:

Commutative property of multiplication

pls mark me brainiest

Step-by-step explanation:

Answer: The Commutative Property of Multiplication

Step-by-step explanation: The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. In this case, changing the order of 16 and 2, doesn’t matter because they will always be equivalent to each other.

It took Trixie 200 minutes to finish her homework.

To calculate the time Trixie took to do her homework, we can subtract the starting time from the ending time.

The starting time is 5:30pm, which is equal to 5 x 60 + 30 = 330 minutes after midnight.

The ending time is 8:50pm, which is equal to 8 x 60 + 50 = 530 minutes after midnight.

To find the duration, we can subtract the starting time from the ending time:

530 minutes - 330 minutes = 200 minutes

Therefore, it took Trixie 200 minutes to finish her homework.

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Answer:

C. Slope-Intercept Form

Step-by-step explanation:

The formula for the Slope-Intercept Form is y=mx+b, where m is the slope and (0,b) is the y-intercept. This equation follows y=mx+b, so C is your answer

Answer:

C. Slope-Intercept form

Step-by-step explanation:

^

Answer:

one eighth of a number b

Step-by-step explanation:

Answer:

one eighth of a number b

Step-by-step explanation:

Answer:

h(x ) = 3 x+ 3

 g ( x ) = − 4 x + 1

( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4

( h + g ) ( 10 )

= − 10 + 4  

= − 6

Step-by-step explanation:

The internal rate of return (IRR) is a financial metric used to evaluate the profitability of an investment project. It is the discount rate that makes the net present value (NPV) of the project equal to zero. In other words, it is the rate at which the present value of the cash inflows equals the present value of the cash outflows.

To determine whether Nadia should accept the investment in the new factory, we need to compare the IRR of the project with the required rate of return, which is 14.25 percent in this case.

If the IRR is greater than or equal to the required rate of return, then Nadia should accept the investment. This means that the project is expected to generate a return that is at least as high as the required rate of return.

If the IRR is less than the required rate of return, then Nadia should reject the investment. This suggests that the project is not expected to generate a return that is high enough to meet the required rate of return.

So, to determine whether Nadia should accept the investment, we need to calculate the IRR of the project and compare it with the required rate of return. If the IRR is greater than or equal to 14.25 percent, then Nadia should accept the investment. If the IRR is less than 14.25 percent, then Nadia should reject the investment.

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well, the difference is 39.14 - 38 = 1.14, so that's the tax.

if we take 38 to be the 100%, just the listed price alone, what is 1.14 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 38 & 100\\ 1.14& x \end{array} \implies \cfrac{38}{1.14}~~=~~\cfrac{100}{x} \implies 38x=114\implies x=\cfrac{114}{38}\implies x=3\)

The circle has a diameter of 10 and a radius of 5

the radius times itself ( 5 x 5 ) = 25

25 times pi (3.14) = 78.5

so the circle is 78.5, lets say square cm.

and the circumference is 31.41593 or 31.42  

we need to find the center point and the length of the radius. The center point is at 5. 1.  so h = 5  and  k = 1

Now let’s count from the center to a point on the circumference to find the length of the radius. 5

The radius is 5 so  r = 5

Now let’s plug everything into the standard form of a circle.

(x - h)²+ (y - k)² = r²

Answer:

the answer is 1/2

Step-by-step explanation:

3/4 - 1/4 = 2/4 = 1/1

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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The point (180, -19) is on the terminal side of the angle θ, the exact values of the trigonometric functions are sin(θ) = -19/181, cos(θ) = 180/181, and tan(θ) = -19/180.

Since the point (180, -19) is on the terminal side of the angle θ, we can calculate the trigonometric functions using the coordinates.
First, find the distance from the origin to the point (180, -19). This distance will represent the hypotenuse (r) of the right triangle formed by the terminal side. Use the Pythagorean theorem:
r = √(x^2 + y^2) = √(180^2 + (-19)^2) = √(32400 + 361) = √(32761) = 181
Now that we have the hypotenuse (r), we can find the exact values of the trigonometric functions for the angle θ using the coordinates:
sin(θ) = y/r = -19/181
cos(θ) = x/r = 180/181
tan(θ) = y/x = -19/180
So, given that the point (180, -19) is on the terminal side of the angle θ, the exact values of the trigonometric functions are sin(θ) = -19/181, cos(θ) = 180/181, and tan(θ) = -19/180.

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Answer:

0.7333

Step-by-step explanation:

2021 Math

Proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

It's a way to measure how far each data point is spread from the average value.

let x represents the diameters of cherry tomatoes produced by large farm which is formally distributed with mean = 22m

and, standard deviation= 2.5 mm

Now, proportion of tomatoes have diameter between 20 and 26 mm

=P (20 < x< 26)

=P(20-22 / 2.5 < \(x- \mu/ \sigma\) < 26- 22/2.5)

=P(-0.8 < z < 1.6)

=P(z = 1.6) - P(z=-0.8)

=0.9452 - 0.2119

==0.7333

Hence, proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

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Answer:

The difference in diameter between the two ends is 1.757''

Step-by-step explanation:

Given;

length of a bar of cast iron, L =  18.125"

initial diameter of the bar, d₁ = 0.983"

final diameter of the bar, d₂ = 2.74"

The difference in diameter between the two ends of the bar is calculated as;

difference in diameter = d₂ - d₁

difference in diameter =  2.74" - 0.983"

difference in diameter = 1.757''

Therefore, the difference in diameter between the two ends is 1.757''

Answer:

Yes they are rational numbers

Step-by-step explanation:

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

∴ 0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

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