The volumes of a cone and a cylinder that have identical bases and heights are proportional. True or false

Note that the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

To find the average value of Q, we simply add up all the values and divide by the number of trials:

Average value of Q = (41.314 + 40.087 + 41.248 + 40.196 + 40.284 + 41.152 + 38.852 + 36.401 + 37.941 + 39.221 + 39.035 + 38.404 + 40.683 + 41.568 + 42.175 + 42.319)/16

= 39.976

Next, to find the uncertainty range where we can be 95% sure that the true value of Q lies within, we need to find the standard error of the mean. The formula gives this:

Standard error of the mean = standard deviation / √(n)

where n is the number of trials. We can find the standard deviation using the formula:

Standard deviation = √(Σ(Qi - Q_avg)² / (n-1))

where Qi is the value of Q for the ith trial.

Using these formulas, we find:

Standard deviation = 1.549

Standard error of the mean = 0.387

To find the uncertainty range, we say:

Uncertainty range = t-value * standard error of the mean

= 2.131 * 0.387

= 0.826

Therefore, we can be 95% sure that the true value of Q lies within the range:

39.976 ± 0.826

Now, to calculate the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval, we can simply add the uncertainty ranges of the two estimates and take the absolute value of the difference:

|Q1 - Q2| = |39.976 ± 0.826 - 40| + |39.976 ± 0.826 - 39.8|

= 0.826 + 0.226

= 1.052

Therefore, the absolute value of the difference in the two estimates of Q with an uncertainty range at a 95% confidence interval is 1.052.

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Answer:

25

Step-by-step explanation:

128/5=25.6 or 25 whole cups

Answer:

That’s -5 over 3 ! :)

Step-by-step explanation:

The -5 is above/over the 3

3 over -5 would look like 3/-5 and the picture you are showing has -5/3.

Answer:

y = 5/ 3 x + 19/ 3

Step-by-step explanation:

Slope-intercept form,  y = m x + b .

Answer:

y=5/3x+6 1/3

Step-by-step explanation:

To get into y-intercept form you need to get y alone...

5x-3y=-19    subtract the 5x

-3y=-5x-19     divide by -3

y=5/3x+19/3    simplify

y=5/3x+6  1/3

It appears to be a constant connection that the square matrix has n eigenvalues, where n is the dimensions (not dimensions as in Rank, but as in # of Column values) of the square matrix.

similar to: a 3x3 matrix square, which has 3 Eigenvalues and only permits eigenvalue decomposition in the event that the matrix is diagonasible.

I think it has to do with how mirror-reflective and inverse the dimensional features of the Matrix can be, and how its linear structure is strong enough to support a dimensional cube.

When it comes to interaction, eigenvalue decomposition can be used to systematically eliminate it.

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The zeros of p(x) are x = 2 and x = -3/2. We can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct as the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x² and the product of the zeroes is equal to the constant term divided by the coefficient of x².

Given that, p(x) = 2x² - x - 6. To find the zeros of p(x), we need to set p(x) = 0 and solve for x as follows; 2x² - x - 6 = 0. Applying the quadratic formula we get,\($x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ where a = 2, b = -1 and c = -6$x = \frac{-(-1) \pm \sqrt{(-1)^2-4(2)(-6)}}{2(2)} = \frac{1 \pm \sqrt{49}}{4}$x = $\frac{1+7}{4} = 2$ or x = $\frac{1-7}{4} = -\frac{3}{2}$.\) Verifying the relationship of zeroes with these coefficients.

We know that the sum and product of the zeroes of the quadratic function are related to the coefficients of the quadratic function as follows; For the quadratic function ax² + bx + c = 0, the sum of the zeroes (x1 and x2) is given by;x1 + x2 = - b/a. And the product of the zeroes is given by x1x2 = c/a.

Therefore, for the quadratic function 2x² - x - 6, the sum of the zeroes is given by; x1 + x2 = - (-1)/2 = 1/2. And the product of the zeroes is given by x1x2 = (-6)/2 = -3. From the above, we can verify that the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x². We also observe that the product of the zeroes is equal to the constant term divided by the coefficient of x². Therefore, we can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct.

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Answer:

a: positive association, the y point is called a deviation

b: looks like the student scores are positive pattern (well accept for that little guy ..little y...)

Step-by-step explanation:

a reason: if you were to draw a line through those points it would be positive linear correlation and that one plot had nothing to do with the correlation

In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Graph is given in relation of test score with student home work assignment. Relationship and association of the graph to be determined.

Correlation implies that one of the subject or value related to other subject or value.

Here, from the graph the sets of value of x is increasing and having positive association. Other side y has only single value in it showing as deviation and nothing else.

Thus, In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

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Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

\(\large\boxed{C = 50^o}\)

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

The height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.

Given that the line in the xyxyx, y-plane above represents the relationship between the height h(x)h(x)h, (, x, ), in feet, and the base diameter xxx, in feet, for cylindrical Doric columns in ancient Greek architecture.

The question is asking us to find the difference between the height of a Doric column that has a base diameter of 555 feet than the height of a Doric column that has a base diameter of 222 feet.

Let's solve the problem.

:Let the height of a Doric column with base diameter 222 feet be y1 and the height of a Doric column with base diameter 555 feet be y2.

Given equation of the line in the xy-plane as,  y=2x+7

From the above equation, we have  

y1=2(222)+7  y1=451 feet (approximately)

y2=2(555)+7  y2=1117 feet (approximately)

The height of the Doric column with a base diameter of 555 feet is 1117 feet and the height of the Doric column with a base diameter of 222 feet is 451 feet. So, the difference in their heights is 1117 - 451 = 666 feet.

Thus, the height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.

The height of a Doric column with a base diameter of 555 feet is 666 feet greater than the height of a Doric column with a base diameter of 222 feet. Using the equation of the line in the xy-plane y=2x+7, we have calculated the height of a Doric column with base diameter 222 feet as 451 feet (approximately) and the height of a Doric column with base diameter 555 feet as 1117 feet (approximately). So, the difference in their heights is 1117 - 451 = 666 feet.

Therefore, the height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.

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Answer:

On Paper

Step-by-step explanation:

On the Paper

I hope this helped!

The center of mass of the rod with density δ(x) = 3 + sin(x) on the interval [0, π/4] is located at x = 2/π.


The center of mass (x) is given by the formula:
x = (1/M) ∫[a,b] x δ(x) dx,

where M is the total mass of the rod.

In this case, the total mass M is given by:
M = ∫[a,b] δ(x) dx.

Using the given density function δ(x) = 3 + sin(x) and the limits of integration [0, π/4], we can calculate the total mass as:
M = ∫[0,π/4] (3 + sin(x)) dx.

Integrating the function, we obtain M = (3x - cos(x))|[0,π/4] = 3π/4.

Now, calculating the integral for x using the formula:
x = (1/M) ∫[0,π/4] x(3 + sin(x)) dx,

we get x = (1/(3π/4)) ∫[0,π/4] x(3 + sin(x)) dx.

Evaluating this integral, we find x= 2/π.

Therefore, the center of mass of the rod is located at x = 2/π.

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Mambo needs to save R2,322.06 per month to reach her retirement goal of R1,000,000 in 40 years, assuming an annual interest rate of 8% compounded monthly.

Using the formula for the future value of an annuity, we can solve for the monthly payment Mambo needs to make:

\(FV = P * [(1 + r/n)^{(nt)} - 1]/(r/n)\)

where FV is the future value, P is the monthly payment, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Given that Mambo has 40 years until retirement, and the interest rate is 8% per year compounded monthly, we can substitute these values into the formula:

\(FV = 1,000,000 \\P = ?\\r = 0.08\\n = 12\\t = 40 \\1,000,000 = P * [(1 + 0.08/12)^(12*40) - 1]/(0.08/12)\)

Solving for P, we get:

P = 2,322.06

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--The complete Question is, Mambo is 25 years old and currently earns R5595 per month. She wants to retire at age 65 and wishes to have R1,000,000 by then. Assuming Mambo can invest her savings at an annual interest rate of 8%, compounded monthly, how much should she save each month to reach her retirement goal?--

Answer: it should be 9.2%

Step-by-step explanation:

The  percentage of people in the \(41 - 50\) age group and favored the Do-It-Yourself books will be \(9.2\%\) .

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, \("\%"\) .

Percentage \(=\frac{Obtained\ Number}{Total\ Number} *100\)

We have,

Total number of people \(=750\)

Number of people in the \(41 - 50\) age group \(=268\)

Number of people in the \(41 - 50\) age group and favored the Do-It-Yourself books \(=69\)

So,

Percentage of favored the Do-It-Yourself books in the \(41 - 50\) age group \(=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100\)

\(=\frac{69}{750} *100\)

\(=9.2\%\)

So,  the percentage of people is  \(9.2\%\) .

Hence, we can say that the percentage of people in the \(41 - 50\) age group and favored the Do-It-Yourself books will be \(9.2\%\) .

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Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!

A written outline that details the major and minor parts of a film, marked by numbers and letters, is called a script or screenplay.


A script or screenplay is a written document that serves as a blueprint for a film. It outlines the major and minor parts of the story, including dialogue, actions, and settings. The parts of the script are typically marked using numbers for major sections and letters for subsections.

The script provides a clear structure for the film, guiding the director, actors, and crew in bringing the story to life on screen. It acts as a roadmap for the production, ensuring consistency and coherence in the storytelling process. The script is an essential tool in the filmmaking process and serves as the foundation for translating the written words into a visual and auditory experience for the audience.

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Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

9.14 miles an hour

Step-by-step explanation:

Answer:

166,400,000

I hoped that helped! yw

Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.

I hope it is helpful

Answer:

D

Step-by-step explanation:

In total, there are 5 units (2 + 3). Then, divide 2000 by 5, which equals into 400. Finally, because Fatima takes 3 units, we use 400 times 3, making it D.

Answer:

A

Step-by-step explanation:

Answer:

They sold

20 Roses and 20 Carnations

Step-by-step explanation:

The total sales of 40 flowers is $100 not $10 as in the question

Roses=$3

Carnations=$2

Total flowers sold=40

Total sales=$10

Let Roses=r

Carnations=c

c+r=40. (1)

3r+2c=100 (2)

From (1)

c=40-r

Substitute c=40-r into (2)

3r+2c=100

3r+2(40-r)=100

3r+80-2r=10

r=100-80

r=20

Substitute r=20 into (1)

c+r=40

c+20=40

c=40-20

=20

c=20

r=20

Check:

3r+2c=100

3(20)+2(20)=100

60+40=100

100=100

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

The unit rate is the rate for 1 item.Let's use unitary method to find the unit rate.Cost of 35 diapers = $6.99Cost of 1 diaper = (6.99/35) dollarsCost of 1 diaper = $0.199714

The given problem is asking us to find the unit rate for 1 diaper when the cost of 35 diapers is $6.99. To find the unit rate, we need to use the unitary method. The unitary method is a technique that is used to solve problems that involve proportions and ratios. The unit rate is the rate for 1 item. To find the unit rate, we will divide the cost of 35 diapers by 35. This will give us the cost of 1 diaper. The unit rate is the cost of 1 diaper.

We can then express the unit rate in dollars. The cost of 35 diapers is $6.99. This means that the cost of 1 diaper is (6.99/35) dollars. We can simplify this fraction to get the cost of 1 diaper. The cost of 1 diaper is $0.199714. Therefore, the unit rate for 1 diaper is 0.199714 dollars.

The unit rate for 1 diaper when the cost of 35 diapers is $6.99 is 0.199714 dollars. The unit rate is the cost of 1 item. To find the unit rate, we need to use the unitary method. The unitary method is a technique that is used to solve problems that involve proportions and ratios. We can express the unit rate in dollars by dividing the cost of 35 diapers by 35. This will give us the cost of 1 diaper. We can then simplify this fraction to get the cost of 1 diaper.

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Answer:

$150

Step-by-step explanation:

5+10+30+100+5=150

10

Step-by-step explanation:

The way I look at it I think 10.00 cause it says I had in the beginning k and it says what people gave me and at the end it says what I had as well so I had 5.00 in the beginning and then I had another 5.00 so that makes it 10.00 in all realatly really let me know if I'm right as it's the only thing that makes since with it all..... lol so the answer is 10.00.... so if it would of said how much do I have all together then it would be what my granddaughter said but it didn't. It's a tricky question here and a good one to get people thinking on it haaa haaa

If Slugger has gone to bat 3–6 times so far this season, he has had 24 hits so far this season.

Use the information given about Slugger's batting average. It is stated that he gets a hit 2 out of every 3 times he goes to bat. This means that his batting average is 0.666 or 66.6%.

Now, if we know that Slugger has gone to bat 36 times so far this season, we can use his batting average to calculate the number of hits he has had. To do this, we can use the following formula:

Number of hits = Batting average x Number of times at bat

Plugging in the numbers we have:

Number of hits = 0.666 x 36

Number of hits = 23.976

Since we can't have a partial hit, we need to round this number to the nearest whole number. Therefore, Slugger has had 24 hits so far this season.

It's important to note that Slugger's batting average is calculated based on the number of official at-bats he has. Official at-bats exclude walks, sacrifices, and other situations where Slugger doesn't actually take a swing at the ball. So, if Slugger had any non-official at-bats, we would need to exclude those from our calculation of his batting average and the number of hits he has had.

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The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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The triangle RSY is congruent to triangle TSX which is triangle RSY ≅ triangle TSX as side SX ≅ side SY and side XR ≅ side YT.

First, let us understand the SAS congruency theorem:

This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to the corresponding 2 sides and one angle of another triangle, then they are both congruent.

We are given:

SR and ST are straight lines.

side SX ≅ side SY

side XR ≅ side YT

So,

side SR ≅ side ST

In triangle RSY and triangle TSX;

side SR ≅ side ST (above proved)

∠RSY ≅ ∠TSX (Common)

side SY ≅ side SX (Given)

So, triangle RSY ≅ triangle TSX by SAS congruency theorem.

Thus, the triangle RSY is congruent to triangle TSX which is triangle RSY ≅ triangle TSX as side SX ≅ side SY and side XR ≅ side YT.

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Answer:

ok so we can divide 15 by 5 to get 3

so we know the building is 3 times bigger

so we multiply 3 by 3 to get 9

so the answer is D

Answer:

9

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

Letting h be the height of the tower

15        h

-----  = ------

5           3

Using cross products

15*3 = 5h

Divide each side by 5

45/5 = 5h/5

9 = h