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The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Mr. X reduces his weight in a ratio of 4:17. This means that for every 4 units of weight he loses, his initial weight was divided into 17 equal parts.

To determine the ratio by which Mr. X reduces his weight, we need to compare his initial weight of 85 kg with his target weight of 65 kg.

The reduction in weight is calculated as the difference between the initial weight and the target weight, which in this case is 85 kg - 65 kg = 20 kg.

The ratio can be expressed as a fraction, where the numerator represents the reduction in weight and the denominator represents the initial weight:

Reduction in weight / Initial weight

Substituting the values, we have:

20 kg / 85 kg

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5 in this case:

(20 kg / 5) / (85 kg / 5) = 4/17

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Answer:

Nice bro

lol

Step-by-step explanation:

Answer:

0. 074

Step-by-step explanation:

The result of 14/27 divided by 7 in simplest form is 14/189.

To divide 14/27 by 7, rewrite 7 as a fraction with a denominator of 1:

7 = 7/1

Now, perform the division:

= (14/27) ÷ (7/1)

= (14/27) * (1/7)

To multiply fractions, multiply the numerators and denominators:

= (14/27) * (1/7)

= (14 * 1) / (27 * 7)

= 14/189

Therefore, the result is 14/189.

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hi die cry why guy shy fiy

Answer:

Yes

Step-by-step explanation:

You just plug in the values.  \(-7 = 1-8\). You plug in 1 for x, and -7 for y

The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

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The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

There are 2 answers to this question

First Answer:

1+1=2

Second Answer:

Window

Explanation:

1 goes on the top

1 goes on the bottom

The first - of the = goes on the side

The second - of the = goes on the other side

The + sign goes in the middle

Heres a picture example:

I hope this helps you have a good day/night/afternoon

Step-by-step explanation:

hey ! the answer would be : -

1×4/24

and

3×3/24

that is

4/24

and 9/24

Answer:

16 27/50

Step-by-step explanation:

Answer:

16 27/50.

Step-by-step explanation:

Answer. = 16 + 27/50 = 16 27/50.

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

Explanation:

Refer to the table below.

The first step is to find the midpoint of each interval.

To do that, we add up the endpoints and divide by 2. The midpoint of the interval from 2 to 6 is 4 because (2+6)/2 = 8/2 = 4. Repeat these steps for the other intervals to find that the remaining midpoints are: 8, 12, 16, 20.

Overall, the midpoints from top to bottom are 4, 8, 12, 16, 20

Note how the midpoints are incrementing by 4 each time, which is the same distance between each successive left endpoint (and right endpoint endpoints as well).

Let's say m represents the set of midpoints which I'll form in the third column. Multiply the frequency column f by each corresponding midpoint m. The result fm forms the fourth column.

Add up everything in that fourth column to get 1140. We then divide that by the sum of the frequencies (100) to get 1140/100 = 11.4 which is the final answer. The average weight is 11.4 pounds.

Answer:

3.2 x 10^6

Step-by-step explanation:

Answer:

3.2x10/6

Step-by-step explanation:

Hey!!

Here's your answer:

Answer:d+9

Hope it will help you....

Good luck on your assignment

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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Answer:

50

Step-by-step explanation:

5^3÷(13-8)×2

Using the BODMAS rule

Bracket first

13-8=5

5^3=125

Followed by division

125÷5=25

Then back to the multiplication

25×2=50

Answer:

50

Step-by-step explanation:

Using order of operations:

Input Equation:

= 5^3/(13-8)*2.

= 5^3/(5)*2.

= 5^3/5*2.

= 125/5*2.

= 25*2.

= 50

Hence, 50 is the correct Answer.

[RevyBreeze]

Answer: Answer:

The perimeter of the polygon are

PQ = 5

RS = 5

PR = √74 = 8.60

QS = √74 = 8.60

QR = 7

Step-by-step explanation:

To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula

d = √(x _2 - x_1)^2 + (y_2 - y_1)^2

Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = 4

PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2

= √ 5^2 + 0^2

= √ 25

= 5

Between R( 5 , -3) and S ( 0 , -3)

x_1 = 5

y_1 = -3

x_2 = 0

y_2 = -3

RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2

= √( -5)^2 + ( -3 + 3)^2

= √ 25 + 0

= √ 25

= 5

Between P( 0 , 4) and R (5 , -3)

x_1 = 0

y_1 = 4

x_2 = 5

y_2 = -3

PR = √( 5 - 0)^2 + ( -3 - 4)^2

= √ 5^2 + (-7)^2

= √ 25 + 49

= √ 74

= 8.60

Between Q ( 5 , 4) and S(0 ,-3)

x_1 = 5

y_1 = 4

x_2 = 0

y_2 = -3

QS = √ ( 0 - 5)^2 + ( -3 - 4)^2

= √ -5^2 + -7^2

= √ 25 + 49

= √ 74

= 8.60

Between Q( 5,4) and R(5 , -3)

x_1 = 5

y_1 = 4

x_2 = 5

y_2 = -3

QR = √ (5 - 5)^2 + ( -3 - 4)^2

= √ 0^2 + (-7)^2

= √ 0 + 49

= √ 49

= 7

Step-by-step explanation:

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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Answer:

I would say it's 3/6, 4/6, and 5/6, you can also have 2/6 since they can be expressed as a ratio and are between 1/3 and 5/6. (1/3 is equal to 2/6)

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter  

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = \(\frac{h}{a}=\frac{4}{1}\)

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.

Answer:

Step-by-step explanation:

Using the given points find the slope and the y- intercept.

The slope is:

The y- intercept is:

The line is:

Slope

Equation in point slope form

The solution of the given expression is 9*\(x^{4}\)/100.

GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).

We have to simplify the expression in which variable comes only once.

Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.

The given fraction is 27\(x^{12}\)/300\(x^{8}\).

When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.

=27\(x^{4}\)/300

Now divide numerator an denominator by 3.

=9\(x^{4}\)/300

Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.

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Answer:

\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)

\(O \frac{9}{100}x^{4}\)

✔ \(\frac{3}{10} x^{2}\)

\(O \frac{27}{300} x^{4}\)

\(O\frac{9}{10} x^{2}\)

Answer:

The probability is  \(P(X = 3) =  0.10575 \)

Step-by-step explanation:

From the question we are told that

    The  number of kittens  n  = 8

   The  probability that  n orange tabby kitten will be female q = 0.38

Generally the probability that  n orange tabby kitten will be male is mathematically represented as

     \(p = 1 -  q\)

=>   \(p = 1 -  0.38\)

=>   \(p =0.62\)

Generally the distribution of kitten  follows a binomial distribution  

i.e  

         \(X  \~ \ \ \  B(n , p)\)

and the probability distribution function for binomial  distribution is  

      \(P(X = r) =  ^{n}C_r *  p^r *  (1- p)^{n-r}\)

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

So  

Generally the probability that exactly three of the eight will be male is mathematically represented as

       \(P(X = 3) =  ^{8}C_3 *  (0.62)^3 *  (1- 0.62)^{ 8- 3}\)

=>   \(P(X = 3) =  56 *  (0.62)^3 *  (1- 0.62)^{ 8- 3}\)

=>   \(P(X = 3) =  0.10575 \)

Answer and Explanation:

B, because a rectangle has 2 pairs.

Theoretically, D could also be correct, but not in every scenario; all rectangles are parallelograms, but not all parallelograms are rectangles.

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Answer:

Yes, the new equipment appear to be effective in reducing the variation of​ weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new​ equipment, and this sample has a standard deviation of 0.047.

Let \(\sigma\) = standard deviation of weights of new equipment.

SO, Null Hypothesis, \(H_0\) : \(\sigma \geq\) 0.065      {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, \(H_A\) : \(\sigma\) < 0.065      {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here One-sample chi-square test statistics;

                           T.S. =  \(\frac{(n-1)s^{2} }{\sigma^{2} }\)  ~ \(\chi^{2}__n_-_1\)

where, s = sample standard deviation = 0.047

           n = sample of quarters = 25

So, the test statistics  =  \(\frac{(25-1)\times 0.047^{2} }{0.065^{2} }\)  ~  \(\chi^{2}__2_4\)   

                                     =  12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Answer:

0.986

Step-by-step explanation:

2.5 times 0.986=2.465

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³