A police department released the numbers of calls for the different days of the week during the month of​ October, as shown in the table to the right. Use a
0.01
significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this​ analysis?
Day
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
Frequency
153
209
221
249
178
210
234what is the test statistic
what is the p value
determine the null and alternative hypotheses
what is the conclusion for this hypothesis

Answer:

ok what is the question

Step-by-step explanation:

The perimeter of a rectangle is computed as follows

perimeter = 2l + 2w

where l is the length and w the width.

The difference between the length and width of the rectangle is 7 yards means:

l - w = 7

or

l = 7 + w

Replacing this equation into perimeter's equation, we get:

perimeter = 2(7 + w) + 2w

perimeter = 2(7) + 2(w) + 2w distributing

perimeter = 14 + 4w combining similar terms

The perimeter is 38 yards, then

38 = 14 + 4w

38 - 14 = 14 + 4w - 14 subtracting 14 at both sides

24 = 4w

24/4 = 4w/4 dividing by 4 at both sides

6 = w

l = 7 + w

l = 7 + 6

l = 13

The length is 13 yards and the width is 6 yards

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Answer:

All of the above

Step-by-step explanation:

Answer:

$548.08/week

Step-by-step explanation:

Divide 28,500 by weekly amount, 1 year= 52 weeks 28,500/52=548.08

Answer:

about $548.08 a week

Step-by-step explanation:

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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9514 1404 393

Answer:

Step-by-step explanation:

The function factors as ...

  \(f(x)=\dfrac{4x}{(x-4)(x+4)}\)

The vertical asymptotes are found where the denominator factors are zero:

  x-4 = 0   ⇒   x = 4

  x+4 = 0   ⇒   x = -4

The zero of the function is where the numerator is zero:

  4x = 0   ⇒   x = 0

The horizontal asymptote of the function is the value of 4x/x² when x tends to infinity. That value is zero. The equation of the horizontal asymptote is ...

  y = 0

For a straight line graph, the point at which the line crosses the y axis is called the y intercept. From the information given, the line crosses the y axis at - 5. This means that the y intercept is - 5

We would write the equation in the slope intercept form whicg is expressed as

y = mx + c

Where m represents the slpoe

We would substitute x = 2, y = 3 and c = - 5 in the equation above to determine the slope, m. It becomes

3 = m * 2 - 5

3 = 2m - 5

3 + 5 = 2m

2m = 8

m = 8/2

m = 4

The equation would be

y = 4x - 5y interceptF

The values of A-B and B-A are 27 and 36.

We are given that;

WA=(x/x=3".n≤6,nEN)

B= (x/x=9",n≤ 4,n € N)

Now,

First, let’s write the sets A and B using roster notation, which means listing all the elements inside curly braces.

A = {x | x = 3n, n ≤ 6, n ∈ N} = {3, 6, 9, 12, 15, 18}

B = {x | x = 9n, n ≤ 4, n ∈ N} = {9, 18, 27, 36}

Now, let’s find A - B by removing the elements that are common to both sets from A.

A - B = {3, 6, 9, 12, 15, 18} - {9, 18, 27, 36} = {3, 6, 12, 15}

Similarly, let’s find B - A by removing the elements that are common to both sets from B.

B - A = {9, 18, 27, 36} - {3, 6, 9, 12, 15, 18} = {27, 36}

Therefore, by the equation the answer will be 27 and 36.

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Answer:

The distance between the two is 5.099 or rounded to 5.1 units.

Step-by-step explanation:

Answer:

x=2

Good luck!!!

Answer:

− 3 = − 6

Step-by-step explanation:

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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No, the Leaning Tower of Pisa is not in stable equilibrium. Stable equilibrium refers to an object being in a balanced state where even if it is displaced slightly, it will return to its original position. In the case of the tower, its leaning position indicates that it is not in stable equilibrium.

To determine how much farther the tower can lean before becoming unstable, we need to consider the concept of the center of gravity. The center of gravity is the point where the weight of an object can be considered to act. In the case of the tower, the center of gravity is not directly above its base due to the lean.

As the tower leans further, the center of gravity moves away from the base, creating a greater moment or force that tries to topple the tower. Eventually, this force will overcome the tower's ability to maintain its balance, causing it to become unstable and potentially collapse.

To calculate the maximum lean before instability, we need to determine the angle at which the tower would no longer be able to support itself. This can be done using trigonometry and the tower's dimensions. However, since the tower is a historical landmark and a significant engineering feat, measures have been taken to ensure its stability and prevent it from toppling over.

In conclusion, while the Leaning Tower of Pisa is not in stable equilibrium, it has been stabilized to prevent further leaning and potential collapse. The exact maximum lean before instability is not relevant in this context, as the tower's preservation and safety have been prioritized.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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If the value of the euro was $1.30 last week and during last week the euro depreciated by 5 percent, the value of the euro today is $1.235.

If the euro was worth $1.30 last week and depreciated by 5%, we can calculate the new value by multiplying the original value by (1 - depreciation rate).

Mathematically, the new value of the euro can be calculated as follows:

New Value = Original Value * (1 - Depreciation Rate)

New Value = $1.30 * (1 - 0.05)

New Value = $1.30 * 0.95

New Value = $1.235

Therefore, the value of the euro today is $1.235.

Depreciation is a term used to describe the decline in the value of a currency relative to another currency or to a basket of currencies. It can occur due to various reasons, such as changes in interest rates, inflation rates, political instability, or economic growth.

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The age of Sarita's grandmother can be determined based on the given information. Let's assume Sarita's present age is y years, and her grandmother is 2 years younger than her grandfather.

Let's assume the age of Sarita's grandfather is x years. According to the given information, Sarita's grandmother is 2 years younger than her grandfather.

This means Sarita's grandmother's age is x - 2 years.

However, the question asks for the grandmother's age in terms of Sarita's present age (y). Since the relationship between Sarita's present age (y) and her grandfather's age (x) is not provided, we cannot directly determine the grandmother's age in terms of y.

To find the grandmother's age in terms of Sarita's present age (y), we would need additional information or a specific relationship between Sarita's age and her grandfather's age. Without this information, we cannot determine the grandmother's age in terms of Sarita's present age (y).

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The combined perimeter of

2b (14y - 12)

2c (18y + 4)

2d (14y - 16), is

Add the like terms

The combined perimeter is (46y - 24)

The combined area of

1b (10y^2 - 27y +5)

1c (20y^2 + 11y - 3)

1d (12y^2 -24y), is

Add the like terms

The combined area is (42y^2 - 40y + 2)

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

\(\frac{1+2+3+4+5+6+7}{7}=4\)

The second moment is..

\(\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20\)

\(\sqrt{20-4^2}=2\)

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2.

The trigonometry identity is given as:  tan(2x)

When the tangent formula is applied, we have: Tan (2x)  = Sin (2x)/Cos (2x)......................(4)

Expand Sin (2x) and Cost 2x)

Tan (2x) = 2 Sin (x) Cos (x)/Cos (x) - Sin²(x)..........................(3)

It can be inferred therefore that the list that obeys the above order is:
Option (a) 4, 3, 5, 1, 2.

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Full Question:²

What is the correct order of the steps used to derive the identity?

A.) 4, 3, 5, 1, 2

B.) 4, 5, 3, 1, 2,

C.) 3, 4, 5, 1, 2

D.) 3, 4, 1, 5, 2

Answer:

A. x = 202 pounds

Step-by-step explanation:

90.9 kg = 200.400196 lb

90.9 kg = 200 lb 6.4031... oz

So the closest would be 202.

Sorry if this is wrong.

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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The required probability of P(Girls/Sophomore) is 0.9.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Data are shown in the table, P(Girls/Sophomore) is to be determined.
In order to determine the probability of the girls over Sophommer,
From,
P(A|B) = P(A ∩ B) / P(B)
P(Girl  | Sophomore ) = P(Girl ∩ Sophomore ) / P(Sophomore)
Substitute the value in the above equation,

P(Girls/Sophomore) = 9 / 10

Thus, the required probability of P(Girls/Sophomore) is 0.9.

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Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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Answer:

11x +98 just assume it to be an arithmetic progression

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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Answer:

1,200

Step-by-step explanation:

Multiply the Height, Length, Width, and Base:

4 x 5 x 10 x 6

Quota sampling is a method used in research to ensure that a sample represents the target population accurately and is free from bias. In quota sampling, researchers determine in advance how many individuals from certain groups or characteristics they need to include in the survey.

The main goal of quota sampling is to ensure that every person in the target population has an equal chance of being selected for the sample. This is achieved by selecting individuals based on specific characteristics or demographics that are representative of the population being studied.

For example, let's say a researcher wants to conduct a survey about favorite ice cream flavors among teenagers. They may decide that they need an equal number of male and female participants and an equal representation from different age groups within the teenage population. The researcher would then set quotas for each of these groups and select participants accordingly.

It's important to note that quota sampling does not involve pre-planning or random selection. Instead, researchers use their judgment to select individuals who meet the predetermined quotas as they encounter them in the target population.

By using quota sampling, researchers can ensure that their sample is diverse and representative of the population they are studying. This method helps reduce bias and provides a more accurate understanding of the target population's opinions or behaviors.

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Answer:

I believe the answer is D.)13 movies per month.

Step-by-step explanation:

Answer:

D. 13 movies per month.

Step-by-step explanation:

Answer: 150 miles

Step-by-step explanation: the car goes 30 miles every half hours, therefore, in five half hours it goes 150 miles.