what is the volume of the cone shown below (use 3.14 as pi)

Cable television is a form of television programming that is delivered to subscribers through a coaxial or fiber-optic cable network. It typically offers a wide range of channels and programming options, including news, sports, movies, and TV shows.

For the residents of Oak Vista, cable television is a mandatory service that is included in their monthly rent or housing fees. This means that all residents are required to pay $60 per month for the cable TV service, regardless of whether they use it or not. This is known as a bundled service, where a single fee is charged for multiple services or products.

The reason for the mandatory cable TV service is likely due to the fact that the apartment complex has a contract with a cable TV provider, and the cost of the service is spread across all residents. Additionally, offering a bundled service can be a way for the complex to offer a lower overall price for cable TV, since the cost is spread across a larger group of people.

While some residents may not want or need cable TV, the mandatory fee means that they must pay for the service regardless. However, some complexes may offer alternative options or allow residents to opt-out of the service for a reduced fee.

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Answer:

Time will take him to fill the bottle=0.04 minutes.

Step-by-step explanation:

William fill of a water bottle =1/4

Time taken by William to fill the water bottle =1/6 minutes.

So, 1/4*1/6=0.04

The value of the coefficient C in the solution y = Ax² + Bx + C is 3.

To find C, we can substitute y = Ax² + Bx + C into the given equation y″ - y′ + y = x² + 3x + 5.

First, let's find y' and y″:

y' = d/dx(Ax² + Bx + C) = 2Ax + B
y″ = d²/dx²(Ax² + Bx + C) = 2A

Now, substitute y, y', and y″ into the equation:

2A - (2Ax + B) + (Ax²+ Bx + C) = x² + 3x + 5

Now, let's compare coefficients for each power of x:

x² coefficients:
A = 1 (since we have x² on both sides)

x coefficients:
-2A + B = 3 => -2(1) + B = 3 => B = 5

Constant term:
2A + C = 5 => 2(1) + C = 5 => C = 3

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The type of r.v.R is a continuous random variable, since its possible values form a continuous interval [0,1].

The sample space of R is the interval [0,1], since the distance from the origin to any point inside the unit circle is between 0 and 1.
To find P(R < r), we need to find the probability that the randomly selected point falls inside a circle of radius r centered at the origin. The area of this circle is πr^2, and the area of the entire unit circle is π, so the probability is P(R < r) = πr^2/π = r^2.
The cdf of R is the function F(r) = P(R ≤ r) = ∫0r 2πx dx / π = r^2, where the integral is taken over the interval [0,r]. This is because the probability that R is less than or equal to r is the same as the probability that the randomly selected point falls inside the circle of radius r centered at the origin, which has area πr^2. The cdf of R is a continuous and increasing function on the interval [0,1].

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i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

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Answer:

Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.

Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.

Step-by-step explanation:

So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2

Knowing that information, lets solve what the question could be because I have no idea. The amount of distance from the hive to the flower bed is 1080 feet. I got this by doing 9 (the amount of feet per second) times 120 (the amount of seconds in 3 minutes.) You could do this with 6 but I found it easier to multiply 9*120 compared to 6*180.

If it's the commute time, we already solved that.

If I didn't answer the real question, please just comment on this.

The height of the stamp should be proportional to the width, so if the width is 3 inches, the height should also be 3 inches.

Proportional refers to the relationship between two or more numbers, measurements, or quantities that are mathematically equivalent. In other words, when two or more values are proportional, a change in one value results in an equivalent change in the other. For example, if one quantity is twice as large as another, the two are said to be in a 2:1 proportion. Proportional relationships can also be expressed in equations, such as y=mx+b, where m is a constant factor of proportionality, and b is the y-intercept. Proportional relationships are a key component of algebra and geometry.

This will ensure that the logo looks the same size and shape when printed on the stamp.

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Step-by-step explanation:

what do you mean ? what needs to be done ?

solve the equation for x ?

(x+1)² + (x-8)² = 0

x² + 2x + 1 + x² -16x + 64 = 0

2x² - 14x + 65 = 0

the formula to solve such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = -14

c = 65

x = (14 ± sqrt(196 - 520))/4 = (14 ± sqrt(-324))/4 =

= (14 ± 18i)/4 = (7 ± 9i)/2

remember that the is no real solution to a square root of a negative number. sqrt(-1) is called I. and all numbers that are combinations with I are called complex numbers.

x1 = (7 + 9i)/2

x2 = (7 - 9i)/2

9514 1404 393

Answer:

  (x, y) = (-2, 1)

Step-by-step explanation:

Equate the two expressions for y.

  -5x -9 = 2x +5

  -14 = 7x . . . . . . . .add 5x-5

  -2 = x . . . . . . . . . divide by 7

Then ...

  y = 2(-2) +5 = 1

The solution is (x, y) = (-2, 1).

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

350 dollars

Step-by-step explanation:

We're given:

First, find the total cost for student tickets:

Therefore, the total cost for student tickets was 170 dollars.

Now, find the total cost for adult tickets:

Therefore, the total cost for adult tickets was 180 dollars

To find the total cost for the museum tickets, find the sum:

180 + 170 = 350 dollars

Therefore, the museum tickets cost 350 dollars in total.

The normal approximation to the binomial, the probability of getting X = 5 successes is approximately 0.0052.

To find the probability using the normal approximation to the binomial, you will need to convert the binomial distribution to a normal distribution by finding the mean (μ) and standard deviation (σ). Then, you'll use the z-score formula to find the probability for the specific value of X.

Given: n = 30, p = 0.4, and X = 5

1. Find the mean (μ) and standard deviation (σ):
μ = n * p = 30 * 0.4 = 12
σ = √(n * p * (1 - p)) = √(30 * 0.4 * 0.6) ≈ 2.74

2. Calculate the z-score for X = 5:
z = (X - μ) / σ = (5 - 12) / 2.74 ≈ -2.56

3. Use the z-score table or a calculator to find the probability for the z-score:
The probability for z = -2.56 is approximately 0.0052.

So, using the normal approximation to the binomial, the probability of getting X = 5 successes is approximately 0.0052.

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After solving the equation ln 3x =6, the value of x is equal to \(\frac{e^6}{3}\)

We have been asked to find x in ln 3 x=6

⇒ ln 3 x = 6

⇒ 3x = \(e^6\)

⇒ x = \(\frac{e^6}{3}\)

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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The correct equation that describes the relationship in the table is option B, which is y = x2 + 3.

An equation is a mathematical statement that expresses the relationship between two or more variables. Equations are used to solve problems and represent real-world relationships.

To understand why this is the correct equation, it is important to look at the values of x and y in the table. When x increases by one, the value of y increases by the same amount. This indicates that the relationship between x and y is one of direct proportionality, wherein the value of y is directly proportional to the value of x. This can be expressed mathematically as y = kx, where k is a constant.

We can also look at the values of x and y in the table to determine the value of k. When x increases from 2 to 3, the value of y increases from 7 to 17. This means that k = 10. This can be written as y = 10x.

The value of y when x = 0 is 3, which is the constant term. This can be written as y = 10x + 3.

Therefore, the equation that describes the relationship in the table is y = x2 + 3.

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Answer:

i. x = -0.5 and 1.5; ii. x = 1.5

Step-by-step explanation:

For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.

The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.

For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.

I hope this helps!

The standard deviation of the sampling distribution is 0.00702.

In this case, we know that 8% of all adults in Ohio support the increase. We can use this information, along with the sample size of 1500, to calculate the standard deviation of the sampling distribution. The formula for the standard deviation of the sampling distribution is:

standard deviation = √ [(population proportion x (1 - population proportion)) / sample size]

Plugging in the numbers, we get:

standard deviation = √ [(0.08 x 0.92) / 1500]

standard deviation = √0.00004928

standard deviation = 0.00702

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Answer:

y=720

Step-by-step explanation:

Multiply both sides of the equation by −15.

−675+1y=45

Add 675 to both sides.

1y=45+675

1y=720

--   -----

1      1

y=720

Answer:

Step-by-step explanation:

Simplify 1/3(9y-3) - 2y as : 3y - 1 - 2y = y - 1

Expression 1 : 3y - 1 - 2y, can be simplified as y-1 => Equivalent
Expression 2 : 3y + 3 - 2y = y + 3 => Not equivalent
Expression 3 : y - 1 => Equivalent
Expression 4 : 1/3(9y) + 1/3(-3) - 2y = 3y - 1 - 2y = y-1 => Equivalent

So, the answer is the second expression.

Answer:

E

Step-by-step explanation:

Have a good day :)

By applying permutation theory, it can be concluded that there are 6840 different orders of 1st, 2nd, and 3rd place winners

Permutation is rearranging a collection of objects in a different order from the original order. In permutations, order matters.

If an object can be selected more than once then the number of permutations is:

P = \(n^{r}\)

Otherwise, If an object can only be selected once, then the number of permutations is:

P = n! / (n-r)!

where n is the number of total objects and r is the number of the selected objects to arrange. Hence. n cannot be less than r.

We are given information that there are 20 runners competing in a marathon.

We are asked to find how many different orders could the 1st, 2nd, and 3rd place medals are received. It means that the order matters and they can only be selected once, so we use the second permutation formula, where n = 20 and r = 3.

P = n! / (n-r)!

  = 20! / (20-3)!

  = 20! / 17!

  = 10 * 19 * 18

  = 6840

Thus, there are 6840 different orders of 1st, 2nd, and 3rd place winners.

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Answer: The mall bro

Step-by-step explanation:

Answer:

B ) At the mall

Step-by-step explanation:

The probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is 1 - (0.9987)^5.

Given:

the automatic opening device of a military cargo parachute has been designed to open when the parachute is 200 meters above the ground. suppose opening altitude has a normal distribution with expected value 200 meters and standard deviation 30 meters. equipment damage will occur if the parachute opens at an altitude of less than 100 meters.

compute the probability of failure. Let Z be the standard normal random variable.

We need P(Z < 100−175 / 25 ) = P(Z < −3), which is approximately= 0.0013.

So the probability of no damage is = 0.9987.

Now the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is :

= 1 − (0.9987)^5

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Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.

Thus, the part of the trinomial that's equal to the product of p and q is the constant

term!

B: The Constant Term

Step-by-step explanation:

Answer:

times -6

Explanation... 2 x 10-6 x -6=56

                      6 x 10-4=56      

Hope this helps

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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Each of the following segments can be classified as follow:

IB is a radius

WR is a tangent

AN is a chord

IO is a diameter

A circle is a set of points in a plane that are equidistant from a fixed point called the center of the circle. Here are the definitions and classifications of segments of a circle based on their relationship to the circle:

Radius: A radius is a line segment that connects the center of the circle to any point on the circle. All radii of a circle have the same length.

Chord: A chord is a line segment that connects two points on the circle. A chord does not necessarily pass through the center of the circle. If a chord passes through the center of the circle, it becomes a diameter.

Secant: A secant is a line that intersects the circle at two points. A secant contains a chord if it intersects the circle in exactly two points, and a secant can also intersect the circle in more than two points.

Tangent: A tangent is a line that intersects the circle at exactly one point, called the point of tangency. A tangent is perpendicular to the radius that connects the center of the circle to the point of tangency.

Diameter: A diameter is a chord that passes through the center of the circle. A diameter is the longest chord of a circle, and it is also a radius that connects two points on the circle and passes through the center of the circle.

Therefore, we can classify each of the following segments as follow:

IB is a radius

WR is a tangent

AN is a chord

IO is a diameter

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Complete Question

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Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.