How much water is needed to fill a cylinder? This question is asking you to calculate the _____.

surface area
dimensional change
circumference
volume

The probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

Standard deviation = sqrt(variance) = sqrt(40,000) = 200

z = (x - μ) / σ

where z is the standardized value, x is the value of interest, μ is the mean, and σ is the standard deviation.

For x = 1000:

z1 = (1000 - 1100) / 200 = -0.5

For x = 1520:

z2 = (1520 - 1100) / 200 = 2.1

Using a calculator, we can use the normal cdf function with the z-scores to find the area between z1 and z2:

P(z1 < z < z2) = normal cdf(-0.5, 2.1) ≈ 0.9192

Rounding to four decimal places, we get:

P(1000 < x < 1520) ≈ 0.9192

Therefore, the probability that the weight of a randomly selected steer is between 1000 and 1520lbs is approximately 0.9192, or 91.92%.

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Answer:

$20 :)

Step-by-step explanation:

There's a pattern in the table of adding 20 each time, so subtract 20 from 40 to get the answer!

Your answer is B: $20.

(You can get to this answer by dividing the number of tickets by the cost.)

Hope this helps!

Since, the length of one side of the pennant is 3 feet longer than the length of the other side. Therefore, the length, in feet, of the two sides of the pennant are 9 inches and 3 inches.

Hypotenuse:

The hypotenuse is the longest side of a right triangle, opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c, often called the Pythagorean equation:

                                       a²+ b² = c²

According to the Question:

Now, By the Pythagorean Equation:

x²+(x - 3)² = 15²

x²+ x²-6x+9 = 225

2x²- 6x+ 9 - 225 = 0

2x²- 6x- 216 = 0

divide both sides by 2

x²- 3x- 108 =0

factor

(x- 9)(x+ 12)=0

x - 9 = 0

x = 9 inches

x- 3 = 3 inches

x and x- 3 are the legs and the hypotenuse is 15 inches

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the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

To find the critical value zα/2 that corresponds to an 80% confidence level, we need to determine the value of α/2.

A confidence level of 80% implies that the remaining area under the standard normal distribution curve is (1 - 0.80) = 0.20.

Since the standard normal distribution is symmetric, we divide this remaining area equally between the two tails, resulting in

α/2 = 0.10.

To find the corresponding critical value, we look up the z-score that corresponds to an area of 0.10 in the standard normal distribution table (also known as the z-table) or use a statistical calculator.

The critical value zα/2 for α/2 = 0.10 is approximately 1.2816.

Therefore, the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

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a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

<1= 45

Step-by-step explanation:

105+105+30+30=270

360-270=90

90/2=45

Answer:

A

Step-by-step explanation:

X before Y

Answer:

x = 77/5

Step-by-step explanation:

I am going to assume that the equation is 83 - 5x = 6. First, we need to subtract 6 on both sides. So, our equation should look like 77 - 5x = 0

Then, add 5x to both sides. So, the equation should be 77 = 5x. Divide by 5 on both sides to get x = 77/5.

Answer:

572.88

Step-by-step explanation:

Use a calculator it makes it easier  

The solution of expression 68.2 × 8.4 after multiplying is,

⇒ 572.88

Given that,

A mathmatical expression to solve,

⇒ 68.2 × 8.4

Now, simplify the number and then multiply as,

⇒ \(68.2 \times 8.4\)

⇒ \((68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )\)

After multiplication the numbers we get;

⇒ \(\dfrac{682}{10} \times \dfrac{84}{10}\)

⇒ \(\dfrac{57,288}{100}\)

⇒ \(572.88\)

Therefore, the solution of expression 68.2 × 8.4 is,

⇒ 572.88

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The weights of the three girls are 55 kg, 60.5 kg, and 66 kg, respectively, and their weight ratio is 1: 1.1: 1.2.

Let the weight of the three girls be x, 1.1x, and 1.2x, respectively. Since the total weight of the three girls is 181.5 kilograms, we can write the equation:

x + 1.1x + 1.2x = 181.5

Simplifying the equation, we get:

3.3x = 181.5

x = 55

Therefore, the weight of the first girl is x = 55 kilograms, the weight of the second girl is 1.1x = 60.5 kilograms, and the weight of the third girl is 1.2x = 66 kilograms.

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The question is -

Three girls have a combined weight of 181.5 kilograms. If the weight of three girls is in the ratio of 1 : 1.1: 1.2, what is the weight of each girl?

The rectangle using the Polygon tool is drawn and attached

From the question, we have the following parameters that can be used in our computation:

The shape implies that we draw a rectangle of unequal dimensions

The vertex A implies that the vertex of the rectangle must touch the point A

The width and the length implies that the dimensions of the rectangle are 4 units by 5 units

Using the above as a guide, we have the following:

We draw the rectangle noting that each segment on the grid represents 1 unit.

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Answer:

15% & 3/20

Step-by-step explanation:

convert decimals to % by multiplying by 100

.15 * 100 = 15%

15/100

simplify

3/20

Answer:

0.15= 15%  

0.15= 15/100

Step-by-step explanation:

0.15 - move the point two times to the right and you have 15 so it will be 15%

15 percent - 15 per cent percent=100 so it will be 15 out of 100 which is the same as 15/100

Answer:

1. You forgot to say what we have to do, we can't simplify or solve... so what do we do??

2. could you please rewrite on computer sorry I can't understand some

Step-by-step explanation:

Just checking if I'm right but

1. 6x² y + 14y²

2. 16x²+44

3. 26⁶ + 106⁴ -70

4. 81y² - 36

5. x² - 12 * + 27?

Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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(a) Therefore, the estimates of the slope and intercept are B = 33.14 and A = -17.68.  (b) The calculated value of σ² is 0.41. (c) The calculated value of R² is 0.99.(d) The estimates of the slope and intercept are B = 10.69 and A = -48.75. (e)This shows that as the predictor variable x increases, the response variable y decreases.

a) Fit the linear regression model by least squares and find the estimates of the slope and intercept.

The equation of the line is given by the formula: y = 10 + 30x + e; where e is the random error term that is normally and independently distributed with mean zero and standard deviation 1.

Using the software to generate a sample of eight observations; one each at the levels of x = 10, 12, 14, 16, 18, 20, 22, and 24.

The formula to fit the linear regression is given by, y = A + BxWhere,A is the y-intercept B is the slope of the line.

Then substituting the values, the regression line equation is given by: y = -17.68 + 33.14x

Therefore, the estimates of the slope and intercept are B = 33.14 and A = -17.68.

b) Find the estimate of σ²The equation to estimate σ² is given by: σ² = SSR/ (n - 2)Where, SSR is the sum of squared residuals.

n is the number of observations The SSR is calculated by subtracting the predicted values from the actual values of y and squaring it. Summing these values gives the SSR. The calculated value of σ² is 0.41

c) Find the value of R².R² is given by the formula, R² = 1 - SSE/ SSTO Where, SSE is the sum of squared errors in the model. SSTO is the total sum of squares. The calculated value of R² is 0.99

d) Now use software to generate a new sample of eight observations, one each at the levels of x = 10, 14, 18, 22, 26, 30, 34, and 38.

Fit the model using least squares. The regression line equation is given by: y = -48.75 + 10.69x

The estimates of the slope and intercept are B = 10.69 and A = -48.75.

e) Find R² for the new model in part (d). Compare this to the value obtained in part (c).

The calculated value of R² for the new model is 0.82.Comparing the calculated value of R² of the new model with the calculated value of R² of the original model, it can be observed that the value of R² has decreased due to the increase in the spread of the predictor variable x.

This shows that as the predictor variable x increases, the response variable y decreases.

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Answer:

(24.5, 6.5)

Step-by-step explanation:

We can set up two equations:

x+y=31

x-y=18

Now, when we add the two equations, we get

2x=49

When we divide we get

24.5 for x.

Now we can plug this in the first equation:

24.5+y=31

minus 24.5 on both sides to get

y=6.5

Hope this helped!

~Cain

Answer:

The sum of two numbers is 31 and their difference is 18

what are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 31. In other words, x plus y equals 31 and can be written as equation A:

x + y = 31

The difference between x and y is 17. In other words, x minus y equals 17 and can be written as equation B:

x - y = 18

Now solve equation B for x to get the revised equation B:

x - y = 18

x = 17 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 31

17 + y + y = 31

17 + 2y = 31

2y = 13

y = 6

Now we know y is 6.5 .Which means that we can substitute y for 6.5 in equation A and solve for x:

x + y = 31

x + 6.5 = 31

X = 25.5

Summary: The sum of two numbers is 31 and their difference is 18. What are the two numbers? Answer: 25.5 and 6.5 as proven here:

Sum: 25.5 + 6.5 = 31

Difference: 25.5 - 6.5 = 19

Answer:

Step-by-step explanation:

Suppose a sample of 879 new car buyers is drawn. Of those sampled, 210 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Answer:

the number of ways in which the prizes are allocated is 67,525

Step-by-step explanation:

Given that

Number of customers = 75

Number of prizes = 3

And, the value of gift card = $10

Based on the above information,

The number of ways in which the prizes are allocated is shown below:

\(=^{75} C_3\)

= \(\frac{75!}{(3!\times(75-3)!}\)

After solving this the number of ways that came is 67,525

hence, the number of ways in which the prizes are allocated is 67,525

Answer

a) Volume of the cylinder = 80π cm³ = 251.43 cm³

b) New volume of the cylinder when radius triples = 720 π cm³ = 2262.86 cm³

The new volume = 9 × (The original volume) when the radius is tripled.

c) New volume of the cylinder = 20π cm³ = 62.86 cm³

The new volume = ¼ × (The original volume) when the radius is halved.

OR

The original volume = 4 × (The new volume) when the radius is halved.

Explanation

The volume of a cylinder is given as

Volume of a cylinder = πr²h

where

π = pi

r = radius of the cylinder

h = height of the cylinder

a) Volume of a cylinder, radius = 4 cm, height = 5cm

Volume of a cylinder = πr²h

Volume of the cylinder = π (4²) (5) = 80π cm³

b) The new volume of the cylinder when the radius is tripled.

Original radius = 4 cm

When it is tripled,

New radius = 3 (4 cm) = 12 cm

Height = 5 cm

Volume of a cylinder = πr²h

Volume of a cylinder = π (12²) (5) = 720π cm³

We can see that the new volume is 9× the original volume.

c) The new volume of the cylinder when the radius is halved.

Original radius = 4 cm

When it is halved,

New radius = ½ (4 cm) = 2 cm

Volume of a cylinder = πr²h

Volume of a cylinder = π (2²) (5) = 20π cm³

We can see that the new volume is ¼× the original volume.

Or the original volume is 4 × the new volume when the radius is halved.

Hope this Helps!!!!

Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

Answer:

y=7

Step-by-step explanation:

y=4(x-1)^2+3

sub x=0

y=4(0-1)^2+3

solve to get y=7

Answer:

use the formula (y2-y1

x2-x1)

that will give you your answer for sure!

Answer:

g = 4+2m

Step-by-step explanation:

Grandma is 4 years older than twice mothers age

is means equals

g = 4+2m  where g is grandmothers age and m is mothers age

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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70 kilograms is equal to approximately 154 pounds. Kilograms and pounds are both units of measurement for weight, with the former being part of the metric system and the latter being part of the imperial system.

70 kilograms is a unit of weight that is part of the metric system. This unit of measurement is used widely around the world and is the standard for many scientific and medical applications. To convert kilograms to pounds, simply multiply the number of kilograms by 2.20462 which is conversion factor.

Pounds, on the other hand, are part of the imperial system of units and are widely used in the United States and other countries. When converting between units of measurement,

it is important to be precise and accurate to ensure that you obtain accurate results. In many cases, you may use conversion tools such as calculators or charts to convert between units of measurement. However, it is also important to understand the basic conversion formulas to be able to perform the calculations manually if necessary.

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Answer:

Step-by-step explanation:

22 +2.50x = 11 +3.75x

11+ 2.50x = 3.75x

11+2.5x=3.75x

2.5x+11=3.75x

2.5x+11−3.75x=3.75x−3.75x

−1.25x+11=0

−1.25x+11−11=0−11

−1.25x=−11

−1.25x/1.25 = 11/1.25

x=8.8

According to the given question, the center of the circle is (-9, 46) and its radius is approximately 11.09.

The equation of a circle is a formula that describes the relationship between the x and y coordinates of any point on the circle.

The standard equation of circle is:

(x - h)²+(y - k)²=r²

This equation states that the sum of the squares of the differences between the x-coordinate and the center, and the y-coordinate and the center, is equal to the square of the radius.

The equation of the circle is given by (x+9)² + (y-46)² = 123.

Comparing this to the standard equation of a circle, (x-h)² + (y-k)² = r², we can see that the center of the circle is (-9, 46) and the radius is √(123) = 11.09.

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Answer:

C: 697 in^2

Step-by-step explanation:

Since parallelograms have parallel lines, the 41 in and 33 in have the same area, the 17 inch and the opposite have the same area too.

You don't need any solution for this since this question already gave you the answer without needing to do any calculation except for finding the area of the parallelogram.

41 x 17 = 697in^2

Answer:

I want to say it's 90,000J