The surface area of a cylinder is 432 pi yd2. The height of the cylinder is five times the radius. What is the diameter of the cylinder?

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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Answer:

1. The formula for finding the surface area of a cylinder is:

Surface Area = 2πr(r + h)

Where:

* `r` is the radius of the cylinder

* `h` is the height of the cylinder

The surface area of a cylinder is the total area of all the surfaces that make up the cylinder. This includes the two circular bases and the lateral surface. The lateral surface is the curved surface that wraps around the cylinder.

To find the surface area of a cylinder, we first need to find the area of each of the circular bases. The area of a circle is πr², where `r` is the radius of the circle. So, the area of each of the circular bases of a cylinder is πr².

We then need to find the area of the lateral surface. The lateral surface is a rectangle with height `h` and width equal to the circumference of the base. The circumference of a circle is 2πr. So, the width of the lateral surface is 2πr.

The area of a rectangle is length x width. So, the area of the lateral surface of a cylinder is 2πrh.

Adding the areas of the two circular bases and the lateral surface, we get the total surface area of the cylinder:

Surface Area = 2πr(r + h)

2. The formula for finding the surface area of a sphere is:

Surface Area = 4πr²

Where:

* `r` is the radius of the sphere

The surface area of a sphere is the total area of all the surfaces that make up the sphere. This includes the entire curved surface of the sphere.

To find the surface area of a sphere, we simply need to square the radius of the sphere and multiply it by π.

For example, if the radius of a sphere is 5 cm, the surface area of the sphere would be:

Surface Area = 4π(5 cm)² = 523.6 cm²

Answer:

Max made a mistake in step 5.

He should have used division instead of multiplication.

Step-by-step explanation:

In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.

In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.

Answer:

he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5

(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-2 +(-5) is basically -2 - 5

Don't let it confuse you.

Answer:

x<7

Step-by-step explanation:

x+4>2x-3

Add 3 to both sides: x+7>2x

Subtract x from both sides: 7>x or x<7

The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

According to the statement

we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.

So,

For this purpose, we know that the

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.

Due to this reason The Probability Distribution is a correct option.

So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

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Answer:

No solution

Step-by-step explanation:

When the slopes are the same: 2, the lines will be parallel

Answer:

(0, 0 )

Step-by-step explanation:

y = 4x is the equation of a line passing through the origin.

Then its y- intercept is 0 or (9, 0 )

Kofi received 9,000 more amount than Edo.

given that

Edo and kofi shared an amount of 21,000. 00 in the ratio 2:5respectively

To find out how much more Kofi received than Edo, we need to first find out how much each person received based on the given ratio.

Let's call the amount of money that Edo received "E" and the amount that Kofi received "K".

The ratio of the amounts that they received is given as 2:5, which means that we can represent the amounts as:

E:K = 2:5

We can rewrite this as:

E/K = 2/5

We know that the total amount of money they received is 21,000, so we can also write:

E + K = 21,000

Now we can use these two equations to solve for E and K:

E/K = 2/5

E + K = 21,000

First, let's solve the first equation for E in terms of K:

E/K = 2/5

E = (2/5)K

Now we can substitute this expression for E into the second equation and solve for K:

E + K = 21,000

(2/5)K + K = 21,000

(7/5)K = 21,000

K = (5/7) * 21,000

K = 15,000

So Kofi received 15,000.

Now we can find out how much more Kofi received than Edo by subtracting Edo's amount from Kofi's amount:

K - E = 15,000 - (2/5) * 15,000

K - E = 15,000 - 6,000

K - E = 9,000

Therefore, Kofi received 9,000 more than Edo.

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The width of the rug is 10 feet, and the length is 16 feet.

Let's assume the width of the rectangular rug is "x" feet.

According to the given information, the length of the rug is 6 feet longer than the width, so the length would be "x + 6" feet.

The formula for the area of a rectangle is length multiplied by width.

We can set up an equation using this formula to solve for the width:

Area = Length × Width

160 = (x + 6) × x

Now, let's simplify the equation:

\(160 = x^2 + 6x\)

Rearranging the equation:

\(x^2 + 6x - 160 = 0\)

Now we have a quadratic equation.

We can solve it by factoring, completing the square, or using the quadratic formula.

In this case, let's solve it by factoring:

(x + 16)(x - 10) = 0

Setting each factor to zero:

x + 16 = 0 or x - 10 = 0

Solving for x:

x = -16 or x = 10

Since we are dealing with measurements, we can disregard the negative value.

Therefore, the width of the rug is 10 feet.

Now, we can find the length by adding 6 to the width:

Length = x + 6 = 10 + 6 = 16 feet.

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Answer:

B.

Step-by-step explanation:

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

The xz-plane is the plane formed by the x-axis and the z-axis. To find a vector parametrization of a curve in this plane, we need to express the x and z coordinates of the curve as functions of a parameter t. In this case, we can express the x coordinate as tsin(t) and the z coordinate as tcos(t). This gives us the vector parametrization of the curve: x = tsin(t), z = tcos(t).

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I believe the answer is 6

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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okay, so.

it's a rectangle with a nub. We do the area without the nub first. so 8x16 is 128

now, its time for the nub.

6x12-8, that would be 4, so 6x4 is 24+128= 152

So it's B.

Hope i helped Mark brainliest pls

Chad :P

The vertex of the given quadratic function is (-3, 0).

The vertex form of a quadratic equation or function is \(f(x)=a(x-h)^{2} +k\).

Where,

(h, k ) is the vertex

And, a is constant.

According to the given question

We have a quadratic function

\(f(x) = x^{2} + 6x + 9\)

The above function can be written as  

\(f(x) = x^{2} +2(3x) +9\)

⇒\(f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9\)

⇒\(f(x) = (x+3)^{2} -9+9\)

⇒\(f(x) = (x+3)^{2} + 0\)

Comparing the above equation with the standard  vertex form of quadratic function we get

h = -3 and k = 0

Hence, the vertex of the given quadratic function is (-3, 0).

Thus, option A is correct.

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Answer:

j=15

Step-by-step explanation:

Let's set up an equation:

2j+7=37

Subtract both sides by 7

2j=30

Divide both sides by 2

j=15

Answer:

15

Step-by-step explanation:

37=2j+7

so subract 7 from both sides

30=2j

then divide by 2 on each side

j=15

Answer:

C.

Step-by-step explanation:

We have 2 probabilities: Theoretical probability and Experimental probability.

We cant know what will happen as it's just probability but both joe and Jill are making educated guesses based on probabilities, just different kinds.

we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.

(x/3) + 5 - 5 ≥ 1/6 - 5

x/3 ≥ -29/6

Multiply both sides by 3.

3(x/3) ≥ 3(-29/6)

x ≥ -29/2

To check, let x = -29/2

x = -29/2 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

(-29/2)/3 + 5 ≥ 1/6

1/6 ≥ 1/6

let x = -14,

x = -14 ≥ -29/2

Substitute this value to the inequality.

(x/3) + 5 ≥ 1/6

-14/3 + 5 ≥ 1/6

1/3 ≥ 1/6

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Answer:

I dont see a

Step-by-step explanation:

Answer:

i hate this lesson

Step-by-step explanation:

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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