What is the Volume of this cube

Answer:

s=W/F 2800J/700N=4m so the answer is 4m

At a 98% confidence level, the margin of error is 0.8765.

Because the method is based on probability, the confidence interval has a margin of error.

A confidence interval's margin of error again for the population mean is determined by:

ME = \(Z_{\alpha /2}\) × \(s_{x}\)

The data mentioned in the question,

n = 20

s = 2

1 - \(\alpha\) = 0.98

The following equation may be used to calculate the standard error:

\(s_{x}\) = s ÷ √n

\(s_{x}\) = 2 ÷ √20

\(s_{x}\) = 0.4472

Now, the critical value \(Z_{\alpha /2}\) is found using MS Excel,

\(Z_{\alpha /2}\) = NORMSINV(\(\alpha /2\))

\(Z_{\alpha /2}\) = NORMSINV(0.9750)

\(Z_{\alpha /2}\) = 1.9599639845

Finally, the confidence interval's margin of error is:

ME = \(Z_{\alpha /2}\) × \(s_{x}\)

ME = 1.96 × 0.4472

ME = 0.8765

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Answer: it will be 48 in 4 years.

Step-by-step explanation: If it’s triples every 6 months that mean times 3 so 2 times 3 is 6 and since there are 12 months you can also do times 6 so 2 times 6 is 12 . And it’s 4 years so 12 times 4 is 48

Answer:

64% of Americans say social media have a mostly negative effect on the way things are going in the U.S. today. Just one-in-ten Americans say social media sites have a mostly positive effect on the way things are going, and one-quarter say these platforms have a neither positive nor negative effect

Step-by-step explanation:

Answer:

I believe that there are more positive aspects of using the Internet to recieve news.

Step-by-step explanation:

While using the Internet for anything informative can be quite the hassle since misinformation is at a constant, I believe there are ways that you can use the Internet to get more information and a better view of a subject compared to any other sources outside of it. Let us first look at the negative aspects.

The Internet is a place where everyone can have a voice. This means that while it is a great resource and platform, many can be misinformed and post that misinformed view, which spreads quite quickly from person to person. It can also be a platform for the intentional spread of something completely false. Someone can intentionally put a false article that can spread like wildfire if it goes unchecked.

While these are very good reasons to not use the Internet for your personal news source, there are ways that you can disprove an article by doing your own research. There is Bias in almost all news nowadays, unfortunately, we can't change that. However, we do have all the world's current information at our fingertips! We can dive deeper into the articles that are written by professionals, either proving or disproving the information on local News Websites. The Internet is also the speediest way of receiving information. It is the thing we use the most, and in these aspects, I see that using the Internet as a way to get the news is probably one of the best ways (as long as we're careful about it!)

Regards!

Answer:

Angles in ascending order:

Q, R, S

Step-by-step explanation:

The side with the biggest number also has the biggest angle degree. The side with the smallest number also has the smallest angle degree.

The rule of inference used to arrive at the statements s(y) and c(y) from the statement s(y) ∧ c(y) is called Simplification. Simplification allows us to extract individual components of a conjunction by asserting each component separately.

The rule of inference used in this scenario is Simplification. Simplification states that if we have a conjunction (an "and" statement), we can extract each individual component by asserting them separately. In this case, the conjunction s(y) ∧ c(y) represents the statement "y is a movie produced by Sayles and y is a movie about coal miners."

By applying Simplification, we can separate the conjunction into its individual components: s(y) (y is a movie produced by Sayles) and c(y) (y is a movie about coal miners). This allows us to conclude that there is a movie produced by Sayles (s(y)) and there is a movie about coal miners (c(y)).

Using the Simplification rule of inference enables us to break down complex statements and work with their individual components. It allows us to extract information from conjunctions, making it a useful tool in logical reasoning and deduction.

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Answer:

$41.48

Step-by-step explanation:

each additional bill is $5.99

that is $5.99×2+$29.50

her old billing plus the two extra services.

Not totally sure though

An operating characteristic curve is based on a(n) binomial distribution probability.

According to the statement

we have given that the an operating characteristic curve and we have to tell the name of the probability based on the this curve is called.

So, For this purpose, we know that the

The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.

And in this type of probability, it is given by a characteristics curve and The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated

So, this is called the binomial distribution probability.

So, An operating characteristic curve is based on a(n) binomial distribution probability.

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Answer:

The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).

Step-by-step explanation:

Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.

Hope this helped!

Given the expression to find the total cost of seeds, 1 2 (2. 48g + 1. 74m + 1. 96z), where Bella bought g packets of geranium seeds, m packets of marigold seeds, and z packets of zinnia seeds.

To find an expression without parentheses that also represents Bella's total cost at the Garden Mart, we need to distribute the fraction in the parentheses, i.e., multiply 1/2 by each term in the parentheses. This is shown below;1/2 * 2.48g + 1/2 * 1.74m + 1/2 * 1.96zThen simplifying this expression, we get,1.24g + 0.87m + 0.98zTherefore, the expression without parentheses that also represents Bella's total cost at the Garden Mart is 1.24g + 0.87m + 0.98z. Hence, this is our final answer.

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Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

Answer:

3.14 is the answer

Step-by-step explanation:

A graph of each function is shown in the image attached below.

The number of years after the trees were planted when both trees have an equal height is 6 years.

In order to graphically solve the system of equations, we would first of all write a system of equations that models the situation by assigning variables to the height of Tree A t years after being planted and height of Tree B t years after being planted, and then translate the word problem into algebraic equation as follows:

Therefore, translating the word problem into algebraic equation, we have the following:

A = 36 + 2t

B = 12 + 6t

On a graph, we would plot the height of Tree A on the x-axis while height of Tree B would be plotted on the y-axis of the cartesian coordinate.

When both trees have an equal height, the number of years after they were planted can be calculated as follows;

36 + 2t = 12 + 6t

6t - 2t = 36 - 12

4t = 24

t = 24/4

Time, t = 6 years.

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As per the graph attached along with the question statement, Hosni walked at the rate of 1.5 meter per second from the 8th second to the 9th second.

As per the graph provided along with the question statement, Hosni's walk is plotted, with "Distance from the motion detector" along the y-axis and "Time in seconds" along the x-axis.

We are required to calculate the walking speed of Hosni between the 8th and 9th seconds, as per the graph.

We can observe that, Hosni's distance from the motion sensor changed from 2 to 0.5 between the 8th and 9th seconds, and since speed is calculated by the quotient of (Distance Travelled) and (Time Taken),

Hosni's walking rate = [(2 - 0.5)/(9 - 8)] = (1.5/1) = 1.5 m/s from the 8th second to the 9th second.

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Answer:

1.5 meters per second.

Step-by-step explanation:

The speed at which Hosni walked from 8 seconds to 9 seconds is the magnitude of the slope of the line on the interval 8 ≤ x ≤ 9.

To find the slope, define the points:

Substitute the defined points into the formula:

\(\implies \textsf{Speed}=|\textsf{Slope}|=\left|\dfrac{y_2-y_1}{x_2-x_1}\right|=\left|\dfrac{0.5-2}{9-8}\right|=\left|\dfrac{-1.5}{1}\right|=1.5\)

Therefore, as speed is a scalar quantity, the rate at which Hosni walked from 8 seconds to 9 seconds was 1.5 meters per second.

Answer:

C (6*2)

Step-by-step explanation:

Answer:

6 times 2

Step-by-step explanation:

Im not completely confident though so check other answers

Answer:

it on sale for 27%

Step-by-step explanation:

1. The system of equations is given as follows:

2. The system of equations has no solutions.

The amounts are obtained solving a system of equations, for which the variables are given as follows:

On the first day of the offering, a family paid $96 for 4 pool passes and 2 gym memberships, hence:

4x + 2y = 96.

2x + y = 48.

Later that day, an individual bought a pool pass for herself, a pool pass for a friend, and 1 gym membership, hence, spending $72, hence:

2x + y = 72.

The system of equations has no solutions, as the linear functions have the same slope but different intercepts.

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To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = (M * c) / (I * y)

Where:

σ is the bending stress

M is the bending moment

c is the distance from the neutral axis to the outermost fiber

I is the moment of inertia of the cross-section

y is the perpendicular distance from the neutral axis to the point where the stress is being calculated

Given:

M = -1000 lbf.in

σ = 32 kpsi = 32,000 psi

Strength = 25 kpsi

Design factor = 2.5

First, we need to convert the bending moment to pound-force feet (lbf.ft):

M = -1000 lbf.in = -83.33 lbf.ft (1 lbf.in = 0.0833 lbf.ft)

Next, we can rearrange the bending stress formula to solve for the moment of inertia (I):

I = (M * c) / (σ * y)

Since we are looking for the minimum diameter, we want to minimize the moment of inertia. This occurs when the rod is a solid cylinder with its maximum diameter.

The moment of inertia of a solid circular rod is given by the formula:

I = (π * d^4) / 64

Substituting the formulas and given values, we can solve for the minimum diameter (d):

(π * d^4) / 64 = (M * c) / (σ * y)

d^4 = (64 * M * c) / (π * σ * y)

d = ∛((64 * M * c) / (π * σ * y))^0.25

Once we have the minimum diameter (d), we can select a preferred fractional diameter from the table provided and calculate the resulting factor of safety using the formula:

Factor of Safety = (Strength * Design Factor) / σ

Please provide the values of c, y, and the preferred fractional diameter from the table so that I can help you with the calculations.

The minimum diameter of the rod is approximately 1.37 inches.A preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

a) To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = M / (0.25 * π * (d^3))

Rearranging the formula, we have:

d^3 = M / (0.25 * π * σ)

Substituting the given values, we get:

d^3 = 1000 / (0.25 * π * 32)

Solving for d, we find:

d ≈ 1.37 inches

Therefore, the minimum diameter of the rod is approximately 1.37 inches.

b) To select a preferred fractional diameter and calculate the resulting factor of safety, we need to compare the calculated stress with the material strength and design factor.

Given the stress σ = 32 kpsi and a material strength of 25 kpsi, we can calculate the factor of safety:

Factor of Safety = (Material Strength) / (Design Stress)

Factor of Safety = 25 / 32

Factor of Safety ≈ 0.78125

Referring to the provided table, we can choose a preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

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Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 50h + 30

We are given the following costs in the car detailing shop as follows;

Cost of Materials = $30

Cost per hour for labor = $50

Since the equation of a line in slope intercept form is; y = mx + c, then we can say that the equation here can also be expressed as;

C(h) = 30 + 50h

The function that can be used to find the total cost C(h) to get pinstriping that requires h hours to complete is; C(h) = 30 + 50h

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Answer:

around 190

Step-by-step explanation:

The box plot that shows this information is given at the end of the problem.

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

For this problem, the measures are given as follows:

The box plot with these data is given at the end of the answer.

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Answer:

1

Step-by-step explanation:

3 divided by 1/3 is 9, and 9-9=0

0+1=1

1

Step-by-step explanation:

The Probability of P(F/E) is 0.5  .

Baye's Theorem helps in finding the conditional probability probability of an event A given that event B has already occurred.

For Example : The probability of event A given that event B has already occurred is denoted by P(A/B) and is calculated by

\(P(A/B)=\frac{P(A.and.B) }{P(B)}\)

It is given in the question that

P(E and F)=0.1      and  

P(E)=0.2

Using Baye's Theorem ,we get

\(P(F/E)=\frac{P(F .and .E)}{P(E)}\)

Substituting the values ,we get

\(P(F/E)=\frac{0.1}{0.2}\\ \\ =\frac{1}{2} \\ \\ =0.5\)

Therefore , the probability of P(F/E) is 0.5  .

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The boat is roughly 654ft away from the base of the cliff.

Step-by-step explanation:

We have the angle 17°

The side opposite the angle is 200ft.

We want to find the length of the adjacent side.

So what equation has Opposite and Adjacent in it?

Tangent. (Remember SOH-CAH-TOA)

Tan = opp/adj

Tan(theta°) = opp/adj

Rearranging,

adj = opp/tan(theta°)

adj = 200/tan(17°)

adj = 654.17ft

And to double check you answer,

° = tan^-1(opp/adj)

° = tan%-1(200/654)

° = 17°

Answer:

Step-by-step explanation:

Hence, the ratio of losses to the total number of games is 2:3.

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