A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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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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The goal of the "Requirements Gathering" phase of an SDLC is to produce a list of requirements for a new or revised information system.

What is SDLC?

SDLC stands for Software Development Life Cycle. It is a systematic approach or framework used in software development projects to guide the development process from initiation to deployment and maintenance.

During the Requirements Gathering phase of the SDLC, the primary objective is to gather and document all the necessary information regarding the desired functionalities, features, and specifications of the new or revised information system. This phase involves close collaboration between stakeholders, including business analysts, system analysts, project managers, and end-users.

The process typically begins with conducting interviews and meetings with stakeholders to understand their needs, expectations, and goals for the system. This can involve discussions with managers, users, subject matter experts, and other individuals who will be affected by the system. Various techniques such as questionnaires, surveys, and brainstorming sessions may be employed to gather comprehensive requirements.

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Answer:

22

Step-by-step explanation:

Hey There!

Your answer is 22

I got this answer by dividing 11 by 50%

hope this helps :)

Answer:

Your answer is 22

Step-by-step explanation:

Answer:

31.4 cm , just did the quiz

Step-by-step explanation:

The length of the minor arc is 31.4 cm of the given circle.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Arc length is the distance between two points along a section of a curve.

The formula for arc length is θ/360×2πr

Arc length =  θ/360×2πr

Where θ is the central angle and r is the radius of the circle.

θ = 60 degrees and r is 30 cm

Plug in the value of θ and r

Arc length = 60/360 × 2×3.14×30

=1/6×60×3.14

=188.4/6

=31.4

Hence, the length of the minor arc is 31.4 cm of the given circle.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Probability Theory

P (K) =\(\frac{n (K) }{n (S)}\)

P(K) : probability of selected K

n (K) : number of occurence of K

n (S) : number of all occurence

In question is not contain information about the number of students who curry a gun, knife, or other weapon and the number of all students. so, we can desribe that :

n (A) : the number of occurence of students who curry a gun

n (B) : the number of occurence of students who curry a knife

n (C) : the number of occurence of students who curry other weapon

and the number of all students is n ( A U B U C) -> union of sets

how many randomly selected student? in question, there is no specific about the student. so, we can answer with :

1) probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\)

2) probability of students who curry a knife

P (B) = \(\frac{n (B) }{n (AUBUC)}\)

3) probability of students who curry other weapon

P (C) = \(\frac{n (C) }{n (AUBUC)}\)

and if question want to estimate with percentage, we can multiply with 100%. example :

1) percentage of probability of students who curry a gun

P (A) = \(\frac{n (A) }{n (AUBUC)}\) x 100%

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Answer:

Step-by-step explanation:

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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The number of weeks taken by Randy to save $97 will be 16.66 weeks.

In this question, we have the following information Randy saves $1.50 on Monday and $4.50 on Friday.

Total savings in a week =$1.50+$4.50=$6

Now the total savings required to buy an iPod is = $97

So the number of weeks required will be calculated by dividing the total amount by the weekly saving amount.

A Number of the week= 97/6=16.66 weeks

Hence the number of weeks taken by Randy to save $97 will be 16.66 weeks.

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With a critical value of 1.96 and a margin of error of 0.022, the standard error is 0.011.

To find the standard error, we can use the formula for the margin of error, which is:
Margin of Error = Z* × Standard Error
Given that the margin of error is 0.022 and the critical value (Z*) is 1.96, we can rearrange the formula to find the standard error:
Standard Error = Margin of Error / Z*
Standard Error = 0.022 / 1.96
Standard Error = 0.011224
Rounded to three decimal points, the standard error is 0.011.

Given a confidence interval with a critical value of 1.96 and a margin of error of 0.022, the standard error is approximately 0.011.

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The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.

When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.

The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.

Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.

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Answer:

1) 4x^2-x+1

2) -4x^2+3x

3) 6r^3 - 15r

Step-by-step explanation:

The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).

A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.

An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).

A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.

Full question.

Which angle is formed by a secant and tangent line?

A) ANG

B) GSE

B) EGS

C) NGL

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Answer:

1) true

2) false

3) true

4)false

Step-by-step explanation:

It's a number cube with 1-6

A scatter diagram is the chart called when the paired data (the dependent and independent variables) are plotted.

Explain the meaning of a scatter diagram.

In a scatter diagram, pairs of numerical data are graphed with one variable on each axis in an effort to find a correlation between them.

                A line or curve will be formed by the points if the variables are correlated. The points will hug the line closer the better the association.

What three types of scatter diagrams are there?

The slope, or trend, of the data points can be used to classify the scatter plot, as was previously mentioned: With Strong Positive Correlation Scatter Diagram Spreadsheet with Weak Positive Correlation. Strongly Correlated Negative Scatter Diagram.

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Answer:

here you go sweet heart

Step-by-step explanation:

♡♡♡♡♡♡♡♡♡♡

Given :

A basketball player has made 12 of his last 20 free throws.

So, the probability =

So, the answer is = 0.6

Answer:

-11

Step-by-step explanation:

-2+-9=

add like terms

-11

The main answer is: y = -12x - 8. To find the equation that represents the same relationship as the table, we need to first calculate the slope of the line. We can do this by choosing two points from the table and using the slope formula:

slope = (y2 - y1) / (x2 - x1)

Let's choose the first and last points (-20, -268) and (1, -40):

slope = (-40 - (-268)) / (1 - (-20))
slope = 228 / 21

Now that we have the slope, we can use the point-slope form of a linear equation to write the equation:

y - y1 = m(x - x1)

Using the first point (-20, -268) and the slope we just calculated, we get:

y - (-268) = (228 / 21)(x - (-20))

Simplifying, we get:

y = (228 / 21)x - 440 / 21 - 268

y = (228 / 21)x - 532 / 21

This is the equation that represents the same relationship as the table. However, it's not in the standard form y = mx + b, so we can simplify it further:

y = (228 / 21)x - 532 / 21
y = (12 / 7)x - 8

This is the same as:

y = -12x/7 - 8/1

So the final answer is:

y = -12x - 8

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Answer:

Make all of the +/-2 values into -3,+4

Step-by-step explanation:

This is because the x intercept values for a parabola are where the equation equals zero, by making the equations -3 and +4, the equations will give zero values at -4 and plus 3 when they are set equal to zero, I can specify further if need be.

Answer:

L = 53.37 cm

Step-by-step explanation:

We have the relationship

M ∝ L³

We can rewrite this as an equation:
M = k · L³

where k, a constant, is known as the constant of proportionality

Given M = 100 kg when L = 20, we get

100 = k · 20³

100 = k · 8000

k = 100/8000 = 0.0125

If M = 1900 kg and k = 0.0125 we can plug in these values to get

1900 = 0.0125 L³

==>  L³ = 1900/0.0125

==> L³ = 152000

Therefore L = ∛152000

L = 53.36803 or

L = 53.37 cm  rounded to 2 DP

Answer:

380.00

Step-by-step explanation:

M=KL

100=20K

K=5

M=5L

1900=5L

L=380

Answer:  x = -7

Step-by-step explanation:

x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5

The attached graph shows the lines and the point.

Answer:

5

Step-by-step explanation:

23 - 10 = 13

13 - 8 = 5

Answer:

5

Step-by-step explanation:

p = a + b + c

23 = 8 + 10 + c

23 = 18 + c

5 = c

Answer:

it is 13:7

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

There are 32 home sites on the 8-acre plot.

An acre, a standard unit of measurement used by land sellers, is roughly the same size as a typical football field. An acre is a product of any rectangular land plot with a total area of 4,046 square Metre, or 43,560 square feet. Six plots of 6 x 120 feet each make up an acre.

To find out how many 1/4 acre home sites are on the 8-acre plot, you can divide the total number of acres by the number of acres per home site.

8 acres / 0.25 acres/home site = 32 home sites.

So, there are 32 home sites on the 8-acre plot.

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