A game consists of rolling a colored die with 3 red sides, 2 green sides, and one blue side. A roll of a red loses. A roll of a green pays $3.00. A roll of blue pays $8.00. The charge to play the game is $3.00. Would you play the game? Why or why nott?
a. Yes you should play. on any given roll the cost to play exceeds th eamount you are expected to win.
b. Yes you should play. On any given roll your expected value exceeds the amount that it cost to play the game.
c. No you should play. On any given roll the cost to play exceeeds the amount you are expected to win.
d. No you should not play. on any given roll your expected value exceeds the amount that it cost to play the game.
e. Yes you should play. you have a chace to win $8 and you only had to pay $2 to play.

Answer:

Yearly fee of $48 is better

Step-by-step explanation:

It is obvious. We know that a year have 12 months so if we compare between the $30 per months deal (which is $360 a year when we multiple it with 12) and the $48 a year deal, the difference is $312 which is a lott.

If Maria only want to use it for a month then its fine but if she want to use it more than 1 month, she definitely should choose the no 2 deal because if she even only rent it for 2 months using the no 1 deal ($30+$30=$60), the no 2 deal ($48) is far more better with a $12 difference.

Part A: Just like the top we know that its costs $34 per month and we need to know how much it would costs for 12 months/a year. So we just have to multiple it with 12=$408. Now which is better $495 or $408? Of course its $408 right? Maria could save $87 with renting the trombone than buying the trombone.

The area of the ellipse is 10pi.

To find the area of the ellipse using a line integral, we need to use the formula:

Area = 1/2 ∫(x * dy - y * dx)

where x and y are the parametric equations of the ellipse.

Substituting x(t) and y(t) into the formula, we get:

Area = 1/2 ∫(2cos(t) * 5cos(t) - 5sin(t) * (-2sin(t))) dt

Simplifying the expression, we get:

Area = 1/2 ∫(10cos^2(t) + 10sin^2(t)) dt

Using the trigonometric identity cos^2(t) + sin^2(t) = 1, we can simplify further to get:

Area = 1/2 ∫(10) dt

Evaluating the integral from t = 0 to t = 2pi, we get:

Area = 1/2 * 10 * (2pi - 0)

Area = 10pi

To learn more about Area :

https://brainly.com/question/25292087

#SPJ11

Area = (1/2) * integral from 0 to 2pi of (2cos(t) * 5cos(t) - 5sin(t) * (-2sin(t)) dt. Therefore, Area = 10 pi

The area of the ellipse using the given parametric equations and line integral

1. First, we need to find the derivatives of the parametric equations with respect to t.
dx/dt = -2sin(t)
dy/dt = 5 cos(t)

2. To find the area of the ellipse, we will evaluate the following line integral:
A = (1/2)  (x(t)dy/dt - y(t)dx/dt) dt, with t  [0, 2]

3. Plug in the parametric equations and their derivatives:
A = (1/2)  [(2cos(t))(5cos(t)) - (5sin(t))(-2sin(t))] dt, with t [0, 2]

4. Simplify the integral:
A = (1/2)  [10cos2(t) + 10sin2(t)] dt, with t [0, 2]

5. Use the trigonometric identity sin2(t) + cos2(t) = 1:
A = (1/2)  [10(1)] dt, with t  [0, 2]

6. Integrate with respect to:
A = (1/2) [10t] | [0, 2π]

7. Evaluate the integral at the limits:
Area = (1/2) * integral from 0 to 2pi of (2cos(t) * 5cos(t) - 5sin(t) * (-2sin(t)) dt
= (1/2) * integral from 0 to 2pi of (10cos2(t) + 10sin2(t)) dt
= (1/2) * integral from 0 to 2pi of 10 dt
    = 10pi

The area of the ellipse is 10π square units.

Learn more about Integral:

brainly.com/question/18125359

#SPJ11

The equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

A leading coefficient is the term that has the highest degree in a polynomial expression.

A constant is a term that has only numbers and contains no variable.

We are given the following equations:

The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.

Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:

0 = 3x² + 2x – 2

0 = –3x + 3x² – 2

0 = –1x – 2 + 3x²

Learn more about leading coefficient on:

https://brainly.com/question/99237

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned \(\$60\) in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

\(\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36\)

So, Kwasi has enough money left to buy a skateboard.

Answer:

40%

Step-by-step explanation:

;)

Answer:

1.60

8/5=1.60

Step-by-step explanation:

Answer: $1.60

Step-by-step explanation: Easy, just divide 8 by 5.      8/5 = 1.6

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

Learn more about a linear equation

brainly.com/question/29739212

#SPJ1

Area of triangle = 1/2 x base x height

Area of the triangle = 1/2 x 22 x 18 = 198 square m.

Area of semi circle = 1/2 x PI x r^2

Area of semi circle = 1/2 x 3.14 x 11^2 = 189.97 square m.

Total area = 198 + 189.97 = 387.97 square m.

Round up to 388 square m.

Answer:

See Below

Step-by-step explanation:

150 = p + 78    ------ you want to get the p to one side and the other number the the other side of the =

(78 - 150) = p (78 - 78)   ---- what ever you do to one side you do to the other

72 = p

s - 51 = 12 (same thing as above)

s (-51 + 51)  = 12 + 51

s = 63

65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)

65 = x + 7 (same as above)

( 7 - 65 ) = x ( 7 - 7 )

58 = x

Answer:

3

Step-by-step explanation:

slope of the line, m = (y2 - y1 ) / ( x2 - x1 )

= (-19 + 10 ) / (-7 + 4)

= -9 / -3

= 3

Using the triangle sum theorem, the measure of angle A is calculated as: 35°.

According to the triangle sum theorem, the following equation can be created to find the value of x:

x + 39 + x + 59 + 90 = 180 [sum of triangle is equal to 180 degrees]

Combine like terms:

2x + 188 = 180

2x + 188 - 188 = 180 - 188 [subtraction property of equality]

2x = -8

2x/2 = -8/2 [division property of equality]

x = -4

Measure of angle A = x + 39

Plug in the value of x:

Measure of angle A = -4 + 39 = 35°

Learn more about triangle sum theorem on:

https://brainly.com/question/9695218

#SPJ1

Answer:

The answer is C. Based upon the problem, both coordinates are negative.

❤ I hope this helps you, kind stranger! ❤

In 1.46321 × 10¹⁵ or 146,321,000,000,000 different ways could mr. wonka give a visitor his candy.

Mr. Wonka has 28 different types of candy.

So the first visitor can receive any 9 of these candies. The next visitor can then receive any 9 of the remaining 19 candies.

The number of ways to distribute candies to the visitors is given by:

\(_{28}C_1 \times_{19}C_1 \times _{10}C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1\)

This is because there are 28 ways to select the first type of candy, 19 ways to select the second type of candy, 10 ways to select the third type of candy, and so on.

Multiplying all the ways gives us the number of possible ways.

Therefore, the number of ways Willy Wonka could give candy to a visitor is:

\(_{28}C_1 \times _{19}C_1 \times _{10}C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1 \times _1C_1 = 8,883,060\)

The number of visitors who visit Mr. Wonka's factory is 165.

Therefore, Mr. Wonka can go for days without repeating candy selections (giving two visitors the same selection of candy).

So the total number of ways Willy Wonka could give candies to all the visitors in the factory is:

8,883,060165 = 1.46321 × 10¹⁵ or 146,321,000,000,000

for such more question on different ways

https://brainly.com/question/29347028

#SPJ11

Answer:

The parts of an atom are protons, electrons, and neutrons. A proton is positively charged and is located in the center or nucleus of the atom.

Step-by-step explanation:

Answer:

The parts of an atom are protons, electrons, and neutrons.

Step-by-step explanation:

Hope this helps!      :3

plz mark as brainliest!

The committee can best catalog the data so it can be used to make meaningful changes by using a database management system (DBMS).

A database management system (DBMS) is a system that enables users to create, read, update, and delete data in a database. The DBMS is a tool that handles all data-related tasks. Organizations employ a DBMS to keep data organized and easy to access and manage.

DBMS provides a set of computerized tools for managing all types of data. A DBMS allows end-users to extract and analyze data from a database.

The committee can use a database management system to ensure that data is organized and easily retrievable. They can employ a DBMS to streamline data entry and report production for high-quality output.

To know more about database management system refer here:

https://brainly.com/question/31534941

#SPJ11

Answer:

Step-by-step explanation:

To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.

__

The angles created by the diagonal at the lower left vertex are congruent:

  y° = 21°

__

The angles x° and y° are complementary:

  x° = 90° -21°

  x° = 69°

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The solution to this expression (√5 - 3√2)(√5 + 3√2) is equal to -13.

In Mathematics and Geometry, the standard form for a difference of two (2) squares is modeled or represented by this mathematical expression:

a² - b² = (a + b)(a - b).

Where:

a and b represent numerical values (numbers or numerals).

Based on the information provided, we have the following mathematical expression:

(√5 - 3√2)(√5 + 3√2);

By comparison, we have the following:

(√5 - 3√2)(√5 + 3√2) = (a + b)(a - b)

a² - b² = (√5)² - (3√2)²

a² - b² = 5 - 18

a² - b² = -13.

Read more on difference of squares here: brainly.com/question/24673551

#SPJ1

Answer:

Step-by-step explanation:

<3 = 55° ( vertically opposite angles )

<4 = 180 - 105 = 75° ( linear pair )

<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )

    = 180 - 130

    = 50°

<1 = <2 ( angles opposite to equal sides )

let < 1 and < 2 be x

55 + 2x = 180 ( angle sum property of a triangle )

2x = 180 - 55

2x = 125

x = 125 / 2

x = 62.5

therefore, < 1 = <2 = 62.5°

Hope this helps

plz mark as brainliest!!!!!!

The SE (standard error) for this sample is 0.026844. The 90% confidence interval for the proportion of students that like listening to music while studying is (0.727, 0.815).

n = 245

x = 189

Point estimate = sample proportion

P' = x/n

P' = 189/245

P' = 0.771

1 - P' = 1 - 0.771

1 - P' = 0.229

At 90% confidence level

α = 1 - 90%

α = 1 - 0.90

α = 0.10

α/2 = 0.05

\(Z_{\alpha/2}\) = Z₀.₀₅

\(Z_{\alpha/2}\) = 1.645 (Using z table)

Standard Error = √{(P' × (1 - P'))/n}

Standard Error = √{(0.771 × 0.229)/245}

Standard Error = 0.026844

Margin of error = E = \(Z_{\alpha/2}\) × Standard Error

Margin of error = 1.645 × 0.026844

Margin of error = 0.044

A 90% confidence interval is,

P' - E < P < P' + E

0.771 - 0.044 < P < 0.771 + 0.044

0.727 < p < 0.815

To learn more about confidence interval link is here

brainly.com/question/31326145

#SPJ4

Answer:

1260

Step-by-step explanation:

-60 to 0 is 60

0 to 1200 is 1200

1200 + 60 = 1260

Answer:

1140

Step-by-step explanation:

awan ko triny ko lang magsagot✌️

Answer:

$8741.40

Step-by-step explanation:

Shantel's net worth is $5,480.80. Her liabilities are $3,260.60.

What is the amount of her assets?

We Take

5,480.80 + 3,260.60 = $8741.40

So, her amount of assets is $8741.40

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

To know more about Vector Visit:

https://brainly.com/question/24256726

#SPJ11

The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

https://brainly.com/question/31400182

#SPJ12

Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

we can say that the probability of selecting an individual who is at least 55 years of age, given that the individual is more likely to buy a product made in the country, is at least 0.75.

The given question is an example of conditional probability, where we need to find the probability of an event A (age of the individual is at least 55 years) given that the individual is more likely to buy a product made in the country (event B).

Let P(A) be the probability that a randomly selected individual is at least 55 years of age, and P(B) be the probability that the individual is more likely to buy a product made in the country. Then the conditional probability P(A|B) can be calculated using the formula:

P(A|B) = P(A and B) / P(B)

Here, we are given that P(B|A) = 0.75, which means that 75% of individuals who are at least 55 years of age are more likely to buy a product made in the country. Using the formula for conditional probability, we can write:

P(A and B) / P(B) = 0.75

Multiplying both sides by P(B), we get:

P(A and B) = 0.75 * P(B)

We do not have enough information to find the value of P(B), but we know that P(A and B) is the probability that an individual is at least 55 years of age and more likely to buy a product made in the country. Therefore, we can say that the probability of selecting an individual who is at least 55 years of age, given that the individual is more likely to buy a product made in the country, is at least 0.75.

To know more about Probability related question visit:

https://brainly.com/question/11234923

#SPJ11

Answer:

The total surface area of the figure is approximately 10.2 m²

Step-by-step explanation:

The dimensions of the solid are;

The shape of the solid = An half cylinder

The diameter of the cylinder, D = 1.6 m

The length of the cylinder, l = 2 m

The surface area of the curved part of the solid = π × D × l ÷ 2

Therefore;

The surface area of the curved part of the solid = π × (1.6 m) × 2 m/2 ≈ 5.03 m²

The area of the curved surface, V = 5.03 m²

The area of the rectangular top, A = 1.6 m × 2 m = 3.2 m²

The area surface of the semi-circular sides of the figure = 2 × π·D²/4 ÷ 2

Therefore;

The area surface of the semi-circular sides of the figure = 2 ×π × (1.6 m)²/4 ÷ 2 ≈ 2.01 m²

The total surface area of the figure, A = 5.03 m² + 3.2 m² + 2.01 m² = 10.24 m²

The total surface area of the figure ≈ 10.2 m² (rounding to 1 decimal place)

The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

To know more about value click-
https://brainly.com/question/25184007
#SPJ1

The largest amount of soda such a cylindrical can can contain is V = πr²h.

The right circular cylinder has h = 2r.

The optimal shape for the can that maximizes its volume is a right circular cylinder. In a right circular cylinder, the base and the height are equal, and the top and bottom are circular.

To describe the optimal shape of the can, we need to consider its dimensions. Let's assume the radius of the base of the can is 'r', and the height of the can is 'h'.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Since we have a fixed amount of aluminum, we can express the constraint as the total surface area of the can, which consists of the curved surface area and the top and bottom circular bases.

The total surface area of a right circular cylinder is given by the formula:

A = 2πrh + πr²

To optimize the shape of the can, we need to maximize the volume (V) while satisfying the constraint on the surface area (A).

dA/dr = 4πr - 2V/(r2) = 0

⇒ 4πr3 - 2V = 0

⇒ r3 = V/(2π)

⇒ r = (V/(2π))1/3

The second derivative of A with respect to r, that is, d²A/dr²,

We can now pass this value of r into our function h, giving us

h = V/(π(V/(2π))2/3)

= 22/3 x (V/π)1/3

= 2 x (V/(2π))1/3

h = 2r,

Thus, the right circular cylinder has h = 2r.

Learn more about Optimization problem here:

https://brainly.com/question/17488294

#SPJ4