The following costs were for bikeway inc., a bicycle manufacturer that uses the high-low method:




output fixed costs variable costs total costs
950 $ 45,000 $ 95,000 $ 140,000
1,050 $ 45,000 $ 105,000 $ 150,000
1,100 $ 45,000 $ 110,000 $ 155,000
1,150 $ 45,000 $ 115,000 $ 160,000


at an output level of 1,000 bicycles, per unit total cost is calculated to be:


multiple choice
$139.13.
$145.00.
$121.50.
$126.09.
$100.00.

The fully simplified expression for\(\( \sin \left(\cos ^{-1}\left(\frac{b}{9}\right)\right) \) is \( \sqrt{1 - \left(\frac{b}{9}\right)^2} \).\)This expression represents the square root of one minus the square of\(\( \frac{b}{9} \),\) without any trigonometric functions.

To derive this expression, we start with the inverse cosine function, \(\( \cos^{-1}(x) \),\) which represents the angle whose cosine is equal to\(\( x \).\) In this case, \(\( x = \frac{b}{9} \).\)So, \(\( \cos^{-1}\left(\frac{b}{9}\right) \) r\)epresents the angle whose cosine is\(\( \frac{b}{9} \).\)

Next, we take the sine of this angle, which gives us \(\( \sin \left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\)Since sine and cosine are complementary functions, we can use the Pythagorean identity \(\( \sin^2(x) + \cos^2(x) = 1 \)\)to simplify the expression. Plugging in\(\( x = \frac{b}{9} \), we get \( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) + \cos^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = 1 \).\)

Since \(\( \cos^{-1}\left(\frac{b}{9}\right) \)\)represents an angle, its cosine squared is equal to \(\( 1 - \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\) Substituting this back into the equation, we have\(\( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) + \left(1 - \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right)\right) = 1 \).\)

Simplifying further, we get \(\( 2\sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = 1 \), and solving for \( \sin^2\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \) gives us \( \frac{1}{2} \).\)Taking the square root of both sides, we obtain\(\( \sin\left(\cos^{-1}\left(\frac{b}{9}\right)\right) = \sqrt{\frac{1}{2}} \).\)

Finally, simplifying the square root expression gives us \(\( \sqrt{1 - \left(\frac{b}{9}\right)^2} \),\)which is the fully simplified expression for \(\( \sin\left(\cos^{-1}\left(\frac{b}{9}\right)\right) \).\)

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Using the fοrmula fοr area οf a rectangle, the area οf figure is 142ft²

The area οf a rectangle is calculated by multiplying its length by its width. Sο, if the length οf a rectangle is "l" and its width is "w", then the area οf the rectangle is Area = length x width = l x w

Diving the figure intο three rectangles and adding their individual area we get the area οf figure.

Area οf 1st rectangle with dimensiοns 1ft x 15ft

A₁=1ft x 15ft = 15ft²

Area οf 2nd rectangle with dimensiοns 5ft x (15-4)ft

A₂= 5ft x (11)ft = 55ft²

Area οf 3rd rectangle with dimensiοns (18-1-5)ft x (15-4-5)ft

A₃= 12ft x 6ft = 72ft²

By adding the areas

A= A₁ + A₂ + A₃ = 15+55+72= 142ft²

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To find the answer, you have to divide the amount of calendars given away to the amount of days:

\(1932/7=276\)

They gave away 276 each day for seven days!

Thank you! Btw, can you please give me brainly :3

The most appropriate test statistic for constructing confidence intervals for the population mean when the population is normally distributed, but the variance is unknown, is the t-statistic.

The t-statistic is used when the sample size is small (typically less than 30) and the population standard deviation is unknown. It takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

To construct a confidence interval using the t-statistic, follow these steps:

Take a random sample from the population.
Calculate the sample mean and sample standard deviation.
Determine the desired level of confidence, often expressed as a percentage (e.g., 95% confidence).
Look up the appropriate critical value from the t-distribution table based on the sample size and desired level of confidence.
Calculate the margin of error by multiplying the critical value by the standard error of the sample mean.
Construct the confidence interval by adding and subtracting the margin of error from the sample mean.
Write the conclusion, stating the confidence interval and interpreting it in the context of the problem.

The t-statistic is the most appropriate test statistic for constructing confidence intervals when the population is normally distributed but the variance is unknown. The t-statistic takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

The steps to construct a confidence interval using the t-statistic include calculating the sample mean and sample standard deviation, determining the desired level of confidence, looking up the appropriate critical value, calculating the margin of error, and constructing the confidence interval.

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Answer:

see pic below (Brainliest pls)

Step-by-step explanation:

The cost of the cardboard used for making 500 boxes is 1890.

To calculate the cost of the cardboard used for making 500 boxes, we need to determine the total area of cardboard required and then multiply it by the cost of the cardboard per unit area.

Total area of one box:

Length = 30 cm

Width = 20 cm

Height = 6 cm

Surface area of the box = 2 * (Length * Width + Width * Height + Height * Length)

= 2 * (30 * 20 + 20 * 6 + 6 * 30)

= 2 * (600 + 120 + 180)

= 2 * 900

= 1800 cm^2

Total area of one box including overlaps:

Additional 5% area required for overlaps = 5/100 * 1800 cm^2

= 90 cm^2

Total area of one box including overlaps = 1800 cm^2 + 90 cm^2

= 1890 cm^2

Total area of cardboard required for 500 boxes:

Total area of cardboard required = Total area of one box including overlaps * Number of boxes

= 1890 cm^2 * 500

= 945,000 cm^2

Cost of the cardboard per unit area:

Cost of the cardboard = Rs 2 for 1000 cm^2

Cost per unit area = Rs 2 / 1000 cm^2

Cost of the cardboard used for making 500 boxes:

Cost of the cardboard used = Total area of cardboard required * Cost per unit area

= 945,000 cm^2 * (Rs 2 / 1000 cm^2)

= Rs 1890

The cost of the cardboard used for making 500 boxes is Rs 1890.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

3/10

Step-by-step explanation:

equation 1 and 2 can be derived from the question

cake = apple dumplings  - 1/10  eqn 1

apple dumplings = 3/10 + crisp eqn 2

if 5/10 sugar was used to make cake , substitute for it in eqn 1

5/10 = apple dumplings  - 1/10

apple dumplings = 5/10 + 1/10 = 6/10

Substitute for the amount of sugar used to make apple dumplings in eqn 2

6/10 = 3/10 + crisp

crisp = 6/10 - 3/10 = 3/10

cake - 1/10 = apple d

apple d = 6/10

The level of significance in a hypothesis test is the maximum allowable probability of a Type I error. A Type I error occurs when you reject a null hypothesis that is actually true.

The level of significance is usually denoted by the symbol α (alpha) and is expressed as a percentage or a decimal value, such as 5% or 0.05. This means that if the level of significance is set at 5%, there is a 5% chance of making a Type I error when the null hypothesis is true.
To answer the student question, the level of significance is not the same as the confidence coefficient or the p-value. The confidence coefficient is related to the confidence interval, which is a range of values within which the true population parameter is likely to fall. The confidence coefficient (1 - α) represents the probability that the true population parameter lies within the confidence interval.
The p-value, on the other hand, is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. If the p-value is less than or equal to the level of significance, you reject the null hypothesis and accept the alternative hypothesis.
Lastly, the maximum allowable probability of a Type II error (denoted by β) is not the same as the level of significance. A Type II error occurs when you fail to reject a null hypothesis that is actually false. The power of a test is defined as (1 - β) and represents the probability of correctly rejecting a false null hypothesis.

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Answer:

19 months

Step-by-step explanation:

Step-by-step explanation: heres what u do

Calculate Accrued Amount (Principal + Interest) A = P(1 + r/n)nt

Calculate Principal Amount, solve for P. P = A / (1 + r/n)nt

Calculate rate of interest in decimal, solve for r. r = n[(A/P)1/nt - 1]

Calculate rate of interest in percent. R = r * 100.

Calculate time, solve for t.

Answer:

8 weeks

Step-by-step explanation:

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

Answer:

The answer is a. 40

Step-by-step explanation:

The measures of triangle a triangle add up to 180 degrees. So, 100 + 40 = 140. 180 - 140 = 40. Hope it helps!

The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².

The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:

kg m² (kilogram-meter squared)

g cm² (gram-centimeter squared)

lb ft² (pound-foot squared)

oz in² (ounce-inch squared)

These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.

The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.

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Answer:

ANSWER:

IF RIGHT PLZ GVE ME BRAINLIEST

THANK U

Answer:

12   50/50 chance

Step-by-step explanation:

Jennifer rented the bike for 7 hours, as determined by the equation 14 + 6x = 56, where x represents the number of hours.

Let's denote the number of hours Jennifer rented the bike as 'x'. The problem states that Shanice's Bikes charges $14 plus $6 per hour for bike rentals. Jennifer paid a total of $56 for renting the bike.

To find the number of hours Jennifer rented the bike, we can set up the equation 14 + 6x = 56. The $14 represents the base rental fee, and the $6x represents the additional cost for x hours.

To solve the equation, we can subtract 14 from both sides to isolate the term with x: 6x = 56 - 14.

Simplifying the equation gives us: 6x = 42.

Finally, dividing both sides of the equation by 6, we find that x = 7.

Therefore, Jennifer rented the bike for 7 hours.

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The probability that a pair of scratched headphones are not working is approximately 0.009975 or about 1%.

Let A be the event that the headphones are scratched, and B be the event that they are not working.

Given that:

P(A) = 0.04

P(B|A) = 0.01

P(B) = 0.03

We know that:

P(B|A) = P(A|B) * P(B) / P(A)

The value of P(A|B) is calculated as,

P(A|B) = P(A and B) / P(B)

P(A and B) = P(B|A) x P(A)

P(A and B) = 0.01 x 0.04

P(A and B) = 0.0004

Then the value of P(A|B) is calculated as,

P(A|B) = 0.0004 / 0.03 = 0.0133

Now we can substitute both probabilities into Bayes' theorem to get:

P(B|A) = 0.0133 * 0.03 / 0.04 = 0.009975

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A hypothesis test is the significance test we will do.

Given;

Our goal is to find out whether students' self-reported grade point averages and their transcript-reported GPAs differ from one another. What kind of significant test will you administer to your class of 50 SRS students?

hypothesis test:

To decide or judge the value of a parameter, such as the population mean, hypothesis tests are utilized. A hypothesis test can be conducted using either the critical value approach or the P-value approach. There are two sorts of errors made when doing a hypothesis test: Type I Error and Type II Error. Because a sample statistic is being used to make conclusions or judgments about the value of a parameter, the decision obtained may be incorrect.

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The amount paid as a car loan is $19,500 at 6% compounded annually of the principal amount of $15,000.

The Amount is calculated by \(A=P(1+\frac{r}{n} )^{nt}\)

where A is the Amount

P is the Principal

r is the Interest rate (in decimals)

n is the frequency at which the interest is compounded per year

t is the Time duration

According to the question,

Principal = $15,000

interest rate = 6% compound annually

Since interest is compounded annually, n =1

Time duration = 6 years

Therefore,

\(A= 15,000*(1+\frac{0.06}{1})^{1*5}\\ = 15,000*(1+0.06)^{5}\\= 15,000*(1.06)^{5}\\= 15,000*1.3\\= 19,500\)

Hence, the amount paid is $19,500.

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Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

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Work Shown:

Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.

The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).

Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180

z+z+56 = 180

2z+56 = 180

2z = 180-56

2z = 124

z = 124/2

z = 62

Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)

We'll use the same trick as before.

(x+z)+(x+z)+(y) = 180

(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28

2x+152 = 180

2x = 180-152

2x = 28

x = 28/2

x = 14

The answer to the question "difference of -72 and a product of -720?" is -9.

To find the sum of the two numbers, we can set up the following equations based on the given information:

Let the two numbers be x and y, where x > y.

x - y = -72 (since the difference between the numbers is -72)

xy = -720 (since the product of the numbers is -720)

We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:

x(x + 72) = -720

Expanding the left-hand side, we get:

x^2 + 72x = -720

Rearranging the equation, we get:

x^2 + 72x + 720 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 1, b = 72, and c = 720. Plugging in these values, we get:

x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))

Simplifying further, we get:

x = (-72 ± √(5184 - 2880)) / 2

x = (-72 ± √2304) / 2

x = (-72 ± 48) / 2

Now we have two possible values for x:

x1 = (-72 + 48) / 2 = -12

x2 = (-72 - 48) / 2 = -60

Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.

Thus, the sum of the two numbers is -9, which is obtained by adding x and y:

-12 + (-48) = -9.

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Theorem 6.11, also known as the parallelogram law, states that the sum of the squares of the lengths of the two diagonals of a parallelogram is equal to the sum of the squares of the lengths of all four sides. Mathematically, we can express this as:

\(AC^2 + BD^2 = AB^2 + BC^2 + CD^2 + DA^2\)

where AB, BC, CD, and DA are the four sides of the parallelogram, and AC and BD are the two diagonals.

To construct a parallelogram using Theorem 6.11, we can start by drawing two perpendicular lines intersecting at a point, which will be the point where the diagonals of the parallelogram intersect. We can then measure the lengths of these two perpendicular lines and use them as the lengths of the two diagonals of the parallelogram. We can then draw the two diagonals of the parallelogram and measure their lengths, and use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram. Finally, we can draw the four sides of the parallelogram using these lengths.

Here is an example of how to construct a parallelogram using Theorem 6.11:

Draw two perpendicular lines that intersect at a point, and label the point of intersection as O.

Measure the lengths of the two perpendicular lines, and label them as AC and BD, which will be the lengths of the two diagonals of the parallelogram.

Draw the two diagonals of the parallelogram, AO and CO, and measure their lengths.

Use Theorem 6.11 to calculate the lengths of the four sides of the parallelogram:

\(AB^2 = AO^2 + BO^2 - 2(AO)(BO)\)cos(∠AOB)

\(BC^2 = BO^2 + CO^2 - 2(BO)(CO)\)cos(∠BOC)

\(CD^2 = CO^2 + DO^2 - 2(CO)(DO)\)cos(∠COD)

\(DA^2 = DO^2 + AO^2 - 2(DO)(AO)\)cos(∠DOA)

where ∠AOB, ∠BOC, ∠COD, and ∠DOA are the angles between the two diagonals and the sides of the parallelogram.

Draw the four sides of the parallelogram using the calculated lengths.

Note that there are many ways to construct a parallelogram, and Theorem 6.11 is just one of them.

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False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

45%

Step-by-step explanation:

17 + 14 = 31 8th graders

14 divided by 31, times 100 = 45%

So, 45% of the 8th graders estimated they spend less than an hour a day on social media.

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

    First, we will find our slope. We will use \(\frac{rise}{run}\) for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

This is an example of a hypothesis. A hypothesis is an educated guess or prediction about the relationship between variables based on prior knowledge or experience.

In this case, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 will result in a 5% increase in local profits in St. Louis over the next three months. This hypothesis can be tested through further research and data analysis to determine if it is supported by the evidence.

A hypothesis is a statement that proposes a potential relationship between two or more variables. It is often used in scientific research to provide a starting point for further investigation and to guide the development of experiments or studies. In the example you provided, the marketing researcher has formed a hypothesis that increasing the advertising budget by $100,000 in St. Louis will result in a 5% increase in local profits over the next three months.

The purpose of forming a hypothesis is to make predictions about what might happen in a certain situation based on prior knowledge or experience. In this case, the marketing researcher may have observed similar trends in the past or may have data to support their belief that increasing the advertising budget will lead to increased profits. The hypothesis provides a clear direction for the research, as the researcher can now design and conduct studies to test the hypothesis and see if it is supported by the evidence.

If the results of the studies support the hypothesis, it provides evidence that there is a relationship between advertising budget and local profits, and the researcher can make recommendations to the company to increase advertising budget in order to increase profits. On the other hand, if the results do not support the hypothesis, the researcher may need to revise the hypothesis or come up with a new one to explain the results.

In conclusion, a hypothesis is a critical component of the scientific research process, as it provides a starting point for further investigation and helps guide the development of studies

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