A community festival sells 20,000 raffle tickets for $10 each. There are 4 possible prize levels. The grand prize is a golf cart valued at $6,000. There are two winners of $1,000, three winners of $500, and ten winners of $100. What is the expected value of a raffle ticket?Round to the nearest cent. Do not round until the final calculation.

Answer:

It has 2 equal side lengths

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

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The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer: x=7

Step-by-step explanation:

3x=21

21 divided by 3 is 7

so x equals 7

Answer:

7 families

|||+|||+|||+|||+|||+|||+||| = 21

  7 families of 3 = 21

Step-by-step explanation:

3x=21

x=7 families

Check the picture below.

The probability that the mean fill is more than 84.8 ounces is 0.39358

From the question, the given parameters about the normal distribution are

Mean value of the set of data = 88.2

Standard deviation value of the set of data = 1.3

The actual data value = 88.2

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (88.2 - 87.9)/1.3

Evaluate the difference of 88.2 and 87.9

z = 0.3/1.3

Evaluate the quotient of 0.3 and 1.1

z = 0.23

The probability that the mean fill is more than 88.2 ounces is then calculated as:

P(x > 88.2) = P(z > 0.23)

From the z table of probabilities, we have;

P(x > 88.2) = 0.5910

Hence, the probability that the mean fill is more than 84.8 ounces is 0.5910

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Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Answer:

its something like 9-n x 2

Step-by-step explanation:

9 - n x 2

Answer: 2(x-9)

Step-by-step explanation:

trust me ;)

Answer:

-28

Step-by-step explanation:

You have to do the parenthesis 1st, then the \(\frac{8}{3}\), and multiply the result :D

Answer:

540°

Step-by-step explanation:

inter angle vertex = 135°

135 + 135 + 135 + 135 = 540°

Answer:

15.81

Step-by-step explanation:

c=a^2+b^2=5^2+15^2≈ 15.81139

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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Answer:

Suppose that we have two line segments, AB and CD. We know that they have the same length.

I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?

Step-by-step explanation:

Answer:

letter corresponds to the base=b

letter corresponds to the slant height=s

letter corresponds to the height=,h

Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

The relative frequency of the wins for the softball team for the season is 60 %.

The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.

The relative frequency for the wins to the softball team is therefore :

= Number of games won / Number of games played

= 12 / 20

= 0. 60

= 60 %

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The full question is:

Your softball team played 20 games during the season.

The following is a list of the team’s wins (W) and losses (L).

W, W, L, L, L, W, L, L, W, W, W, L, W, W, L, L, W, W, W, W

What is the relative frequency of the wins? Show your calculation.

Answer:

\(\circledast \ \ f\circ f\left( x\right) = x\)

\(\circledast \ \ g\circ g\left( x\right) =4x - 21\)

Step-by-step explanation:

\(f(x)=\frac{5}{2x}\)

g(x) = 2x - 7

==============

\(f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }\)

             \(=\frac{5}{2\left( \frac{5}{2x} \right) }\)

             \(=\frac{5}{\left( \frac{5}{x} \right) }\)

             \(=5\times\frac{x}{5}\)

             \(=x\)

_____________

\(g\circ g\left( x\right) =2(g(x)) - 7\)

            = 2(2x - 7) - 7

           = 4x - 14 - 7

           = 4x - 23

Answer:

M and N are similar but not congruent

Step-by-step explanation:

M is width 1 length 2

N is width 2 length 4

1x2=2

2x2=4

the other options don't make sense so it's the fourth one.

Answer:

She can spend $38 and have $5 left.

Step-by-step explanation:

$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.

Answer:

$5

Step-by-step explanation:

Subtract 48 by 38

48 -  38

You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.

Answer:

General equation of a line:

\(y = mx + b\)

m » gradient

b » y-intercept

• considering point (-6, 12):

\(12 = ( - \frac{5}{12} \times - 6) + b \\ \\ 12 = \frac{5}{2} + b \\ \\ b = \frac{19}{2} \)

• equation:

\(2y = - \frac{5}{6} x + {19} \\ \)

Answer: 3/9 or 1/3

Step-by-step explanation:

3, 6 and 9 are all multiples of 3 equal or below 9.

Step-by-step explanation:

Divide 140 by \(2\frac{4}{5}\) to represent the amount of hours he worked.

To make dividing easier, \(2\frac{4}{5}\) can also represent 2.8 as a decimal.

\(\frac{140}{2.8} =50\)

He has worked 50 hours after completing 140 rows of grapes.

After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.

Answer:

14 x 1.05 = 14.70

Step-by-step explanation:

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Step-by-step explanation:

Answer:

71 percent

Step-by-step explanation:

About 71 percent of the Earth's surface is water-covered, and the oceans hold about 96.5 percent of all Earth's water. Water also exists in the air as water vapor, in rivers and lakes, in icecaps and glaciers, in the ground as soil moisture and in aquifers, and even in you and your dog. Water is never sitting still.

The area of the earth's surface covered in water will be 63541028.57 square kilometres.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that about 5/7 of the earth's surface is covered with water. About 88957440 km squared is land.

The area covered with water will be calculated as,

Area = ( 5 / 7 )  x 88957440

Area = 63541028.57 square kilometres.

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Answer:

Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment.

Explanation:

We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing occupation, and then services for the elderly are the fastest growing industry, it matches what we know an industry and occupation mean.

While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.

However, the other options mismatched industry examples for occupations.

Answer:I think the answer is C the third option

Step-by-step explanation:

The derivative of the function F(x) =x2 et4dt is e−x4(2x)−e−x2.

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value). Calculus's core tool is the derivative.

Take the derivative to differentiate anything.

Finding the slope at any point is the same as taking the derivative of a function, so differentiating is just finding the slope.

You may be aware that is typically indicated by either

I'm assuming you mean to determine the derivative of F(x)

F(x)=∫x2xe−t2dt

Let G(x)=∫x0e−t2dt

According to the calculus fundamental theorem

F′(x)=ddx(G(x2)−G(x))

=G′(x2)(2x)−G′(x)

=e−x4(2x)−e−x2.

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