for a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what is the expected winnings per ticket? question options:

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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Answer:

y = -4x + 14

Step-by-step explanation:

Probability of least 2 pupils and no more than 1 teacher and no more than 1 administrator is 0.613

The solution to the given problem is given below. The number of ways of selecting 4 pupils out of 5 = 5C4 = 5The number of ways of selecting 2 pupils out of 5 = 5C2 = 10The number of ways of selecting 1 teacher out of 4 = 4C1 = 4The number of ways of selecting 1 administrator out of 3 = 3C1 = 3

The number of ways of selecting 4 people out of 12 = 12C4 = 495 P(at least 2 pupils and no more than 1 teacher and no more than 1 administrator) = P(2 pupils) + P(3 pupils) + P(4 pupils) = 5C2 * 4C1 * 3C1 * 4C0 + 5C3 * 4C0 * 3C1 * 4C1 + 5C4 * 4C0 * 3C0 * 4C1P(at least 2 pupils and no more than 1 teacher and no more than 1 administrator) = 15*4*3 + 10*3*4 + 1*4*1 = 180 + 120 + 4 = 304P(at least 2 pupils and no more than 1 teacher and no more than 1 administrator) = 304/495P(at least 2 pupils and no more than 1 teacher and no more than 1 administrator) = 0.613

In this way, the probability of the given situation has been calculated.

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The linear equation of the table is y = 3x + 4

In mathematics, the term linear function refers to two distinct but related notions:

In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

To solve this problem, we have to find the slope and intercept;

The slope of the equation is given as;

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (5, 19) and (9,31)

So, we have

m = (31 - 19) / (9 - 5)

Evaluate

m = 3

Let's pick any of the points and find the intercept;

y = mx + b

Here, we use

(x, y) = (1, 7)

So, we have

7 = 3(1) + b

This gives

7 = 3 + b

Solve for v

b = 7 - 3

Evaluate the difference

b = 4

Substitute 4 for b and 3 for m in y = mx + b

y = 3x + 4

Hence, the linear function of the table is y = 3x + 4

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Answer:

C = 5x + 100

Step-by-step explanation:

Its C because...

The 100 is the y-intercept, it's not going to change, it will remain constant

The 5x represents the amount of money PER day, which is 5, so as each day increases (x) so will the amount of money

Hope this helped!

Answer:

The answer is 5x + 100.

Step-by-step explanation:

the starting fee is 100 and it costs 5 per day so 5x + 100.

Please give brainliest

Answer:

Step-by-step explanation:

Assuming that the velocity profile is constant throughout the vessel, the displayed velocity in the vessel can be calculated using the Doppler equation:

V = Vp × cos(θ)

where Vp is the peak velocity measured by the Doppler ultrasound and θ is the angle between the Doppler beam and the direction of blood flow.

Given that Vp = 60 cm/s and θ = 60 degrees, we can calculate the displayed velocity in the vessel when θ = 0 degrees:

V = 60 × cos(0) = 60 × 1 = 60 cm/s

Therefore, the displayed velocity in the vessel when the Doppler correction angle is set to 0 degrees is 60 cm/s.

Answer:

\(15y^{9}\)

Step-by-step explanation:

The quotient of the division x - 3 | 4x^2 + 3x + 2 is 4x + 15

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

x - 3 | 4x^2 + 3x + 2

Using the long division method of quotient, we have

x - 3 | 4x^2 + 3x + 2

The division steps are as follows

          4x + 15

x - 3 | 4x^2 + 3x + 2

          4x^2 - 12x

------------------------------------------------

              15x + 2

              15x - 45

------------------------------------------------

                        47

Hence, the quotient is 4x + 15

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the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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Answer:

3=3x+3

4=2x+8

Step-by-step explanation:

Answer:

The Greatest common factor (GCF) of 40 and 42 is 2.

(Hope this helps! Btw, I answered first. Brainliest please!! :D)

Answer:

2

Step-by-step explanation:

Answer:  1. yes  2.  yes  3. no

if x or y has more than one ex: xx

it is not linear

The value of the line integral ∮C (2y - e sin(x))dx + (9x - sin(y^3 + y))dy over the circle C of radius 7 centered at (5,2) is 630π.

To evaluate the line integral ∮C (2y - e sin(x))dx + (9x - sin(y^3 + y))dy, where C is a circle of radius 7 centered at the point (5,2)

we can parameterize the circle and then compute the integral using the parameterization.

Let's use the parameterization:

x = 5 + 7cos(t)

y = 2 + 7sin(t)

where t ranges from 0 to 2π to cover the entire circle.

Now, we can calculate the differentials dx and dy in terms of dt:

dx = -7sin(t) dt

dy = 7cos(t) dt

Substituting these differentials and the parameterization into the line integral expression, we have:

∮C (2y - e sin(x))dx + (9x - sin(y^3 + y))dy

= ∮[0, 2π] (2(2 + 7sin(t)) - e sin(5 + 7cos(t))) (-7sin(t) dt) + (9(5 + 7cos(t)) - sin((2 + 7sin(t))^3 + (2 + 7sin(t)))) (7cos(t) dt)

Simplifying, we get:

= -14∮[0, 2π] sin(t)(2 + 7sin(t)) dt + 63∮[0, 2π] cos(t)(5 + 7cos(t)) dt

Integrating term by term, we have:

= -14∫[0, 2π] (2sin(t) + 7sin^2(t)) dt + 63∫[0, 2π] (5cos(t) + 7cos^2(t)) dt

Evaluating the integrals, we find:

= -14(0) + 63(10π) = 630π

Therefore, the value of the line integral ∮C (2y - e sin(x))dx + (9x - sin(y^3 + y))dy over the circle C of radius 7 centered at (5,2) is 630π.

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6x - 27.5 = 17.5

6x = 28 + 17

6x = 45

2x = 15

x = $7.5

Answer:

11 / 5 as a mixed number is 2 1/5

Hope this helps you

Answer:

2⅕

Step-by-step explanation:

5x2=10

1 left over 1/5

Answer:

G is the correct answer

because it match of what i got my paper

Step-by-step explanation:

When a secondhand car cost N900,000, it lost 30% of its value in the first year. The depreciation was equal to 22% of the value at the start of each succeeding year. On February 28, 2015, the automobile was worth around N220,011.00.

We must compute the annual depreciation and subtract it from the car's starting value in order to calculate the worth of the vehicle on February 28, 2015.

Information disclosed:

The automobile was purchased for N900,000.

First-year depreciation rate: 30%

Following-year depreciation rate: 22%

Let's determine the car's value for each year:

From the first of March 2011 to the last day of February 2012, N900,000.00 was depreciated 30%.

Depreciation: N270,000.00 depreciated at 0.30 times N900,000.

At the conclusion of the first year, the car was worth N900,000.00 - N270,000.00 = N630,000.00.

From the first of March 2012 to the last day of February 2013, there was a 22% depreciation of N630,000.00.

Depreciation: N138,600.00 x 0.22 * N630,000.00

At the conclusion of the second year, the car was worth N630,000.00 - N138,600.00 = N491,400.00.

Third Year (2nd March 2013 to 28th February 2014): 22% of N491,400.00 depreciation

Depreciation: 0.22 times N491,400.00, which is N108,108.00

At the conclusion of the third year, the car was worth N491,400.00 - N108,108.00 = N383,292.00.

Fourth Year (from March 1 to February 28, 2015):

Depreciation of N383,292.00 is 22%.

Depreciation: 0.22 times N383,292.00, which is N84,324.24.

At the conclusion of the fourth year, the car was worth N383,292.00 - N84,324.24 = N298,967.76.

But the query requests the value as of February 28, 2015. Since the car was bought on March 1, 2011, its worth on February 28, 2015, and its value at the end of the fourth year will be equal.

Therefore, the automobile was worth roughly N298.967.76 on February 28, 2015.

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Answer: 8

Step-by-step explanation: Use pemdas

3[9 - (6-3)] – 10 : Complete parentheses (6-3)

3[9 - 3] - 10 : Complete equation in parentheses

3[6] - 10 : Multiply 3 and 6

18 - 10 = 8

Answer:

8

Step-by-step explanation:

3[9 - (6-3)] – 10

3 [9 - (3)] - 10

3 (6) - 10

18 - 10

8

This problem is about "order of operations."  These are the rules we all agree upon that dictate which order we do mathematical operations.  We use the acronym PEMDAS to help remember them:

P - parentheses first, then:

E - exponents (powers, square roots, etc)

MD - multiplication and division (from left-to-right)

AS - addition and subtraction (from left-to-right)

\( \frac{3}{4} \div \frac{3}{8} = \\ \)

\( \frac{3}{4} \times \frac{8}{3} = \\ \)

\( \frac{8}{4} = \\ \)

\(2\)

Answer:

y - 1 = -3/4(x + 8)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Point (-8, 1)

Slope m = -3/4

Step 2: Write equation

y - 1 = -3/4(x + 8)

Answer:

hey. Answer is $495 as the actual price of the motor without discount.

Step-by-step explanation:

So you would multiply 450 by .10 and you get 45. So he got $45 off. Then add 450 to 45. Yoy get $495!

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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Answer:

Step-by-step explanation:

Given the equation x + 5 = 1, to get the solution to the equation, we need to find the value of x

Step 1: Subtract 5 from both sides of the equation

x+5-5 = 1-5

x = 1-5

Step 2: Find the value of the unknown variable x

x = -4

The solution to the equation is x = -4

The value of x is 26.5, found using the property of intersecting chords in a circle and the Pythagorean theorem.

To find the value of x, we can use the property that states that if two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we can draw radii from O to points P and S, and label their lengths as 19. Then, we can label the segments of chords FG and RS as follows:

                     Let a = FG and b = GP

                      Let c = RS and d = SP

Since OP is a radius of the circle, we know that a + b = 19. Similarly, since OS is a radius of the circle, we know that c + d = 19.

Using the property mentioned above, we can write:

                      a * b = c * d

Substituting the given values, we get:

                   25 * (19 - b) = 28 * (19 - d)

Expanding and simplifying, we get:

                      475 - 25b = 532 - 28d

Substituting a + b = 19 and c + d = 19, we get:

                 b = 19 - a and d = 19 - c

Substituting these values, we get:

                 25a - 25(19 - a) = 28c - 28(19 - c)

Simplifying, we get:

                    53a - 475 = 28c - 532

Rearranging, we get:

                       53a - 28c = -57

We also know that a + c = 25 + 28 = 53.

We can solve these two equations simultaneously to find the values of a and c:

                        a = 13.8

                        c = 39.2

Therefore, the length of the segment RS is 39.2, and the length of the segment RP19S is 58.2.

Using the Pythagorean theorem, we can find the length of the segment OP:

                  (OP)²= (RP19S)² - (19)²

                  (OP)² = (58.2)² - (19)²

                  (OP)² = 3136.24

                        OP = 56

Finally, we can find x using the fact that the chords FG and RS are parallel:

                           x = (1/2) * (FG + RS)

                           x = (1/2) * (25 + 28)

                           x = 26.5 (rounded to the nearest tenth)

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Answer:

3% of (860 kilograms) =

25.8 kilograms

Answer:

Step-by-step explanation:

3 * 860/100

= 2580/100

= 25.8.

Answer: The dot over a number signifies that it is a repeater which would go on for ever, as when we endeavor to describe 1/3 decimally as 0.33333 . . . . (etc) With a series of numbers we place the dot over the first and last, as with 0.97979797979 . . . (etc) The remarkable feature being that a proper fraction divided by 9s e.g. 46/99 is exactly equal to the numerator with the repeater sign followed by the decimal.

Step-by-step explanation: Hope This Helps, Have A Nice Day.

a) s equals StartFraction L A Over pi r EndFraction.

d) r = r equals StartFraction L A Over pi s EndFraction.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

The formula for the Lateral Surface Area of a right cone is given in the question as:

LA = πrs

Where,

r is the radius of the base and s is the slant height of the cone.

From the options given,

We can make s the subject of the formula.

Hence:

Making s the subject of the formula

LA = πrs

Divide both sides by πr

s = LA/πr

Hence: Option a) s equals StartFraction L A Over pi r EndFraction. Is correct.

Step 2

Making r the subject of the Formula

LA = πrs

Divide both sides by πs;

r = LA/πs

Hence: Option d) r equals StartFraction L A Over pi s EndFraction. Is correct.

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Complete question is,

The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations? Select two correct answers. s = s equals StartFraction L A Over pi r EndFraction. s = s equals StartFraction pi r Over L A EndFraction. s = LAr r = r equals StartFraction L A Over pi s EndFraction. r = LAs

Answer:

the answer is 2*5 (I didn't have the simple so I used*)

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the quadrilateral is 129 inches.

Perimeter is the sum of the length of the sides used to make the given figure.

The perimeter of the quadrilateral is,

Perimeter = 31 + 7x + 30 + 4x² + 8x + 3x² - 5x + 20

= 31 + 7(2) + 30 + 4(2)² + 8(2) + 3(2)² - 5(2) + 20

= 31 + 14 + 30 + 16 + 16 + 12 - 10 + 20

= 129 inches

Hence, the perimeter of the quadrilateral is 129 inches.

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Answer:

The perimeter of the quadrilateral is 129 inches.

In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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