This giant Rubber Duck has been recreated in many cities around the world, including Hong Kong, Pittsburgh, Toronto, Baku, and Sydney. The largest duck so far is in Saint-Nazaire, France. The duck measures 26 by 20 by 32 meters. A normal-sized rubber duck is about 3.5 inches at its widest part. What is the scale factor for this giant duck? Round your answer to the nearest whole meter.

The probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a deck without replacement is 77/1696543.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Total number of face cards in deck =12

When 6 cards are drawn = 12C6 =924

Without replacement :

P(6 face cards)=12C6 /52C6

P(6 face cards)=924/20358520

P(6 face cards)=231/5089630

P(6 face cards)=77/1696543

Or another way

P(6 face cards) =(12/52)*(11/51)*(10/50)*(9/49)*(8/48)*(7/47)

P(6 face cards)=665280/14658134400

P(6 face cards)=924/20358520

P(6 face cards)=77/1696543

Hence, the probability of getting 6 face cards (king, queen, or jack) when 6 cards are drawn from a deck without replacement is 77/1696543.

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Answer:

x=-5  y=3

Step-by-step explanation:

-6(6x+9y=-3)

6(6x+5y=9)

(YOU HAVE TO MAKE ONE OF THE EQUATIONS NEGATIVE AND THE OTHER POSITIVE)

-36x-54y=18

36x+30y=54

(THE 36'S CANCEL OUT AND YOU ADD IT ALL TOGETHER)

-24y=72

(DIVIDE BOTH SIDES BY -24 AND IT THE LEFT SIDE CANCELS OUT)

y=3

(PUT THE 3 BACK INTO ONE OF THE EQUATIONS NOW THAT YOU KNOW THAT Y=3 BECAUSE NOW YOU HAVE TO FIND X [IT DOESN'T MATTER WHICH ONE])

6x+9(3)=-3

(MULTIPLY 9 AND 3)

6x+27=-3

(SUBTRACT 27 ON BOTH SIDES SO IT CANCELS OUT ON THE LEFT SIDE)

6x=-30

(DIVIDE BOTH SIDES BY 6)

x=-5

In working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit.

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Answer:

$341.60

Step-by-step explanation:

I=Prt

I=800(0.061)(7)

I=48.8x7

I=341.6

Hopes this helps

According to this equation, after 3.73 hours (3 hours, 44 minutes) of driving, Evin would run out of gas.

This equation, which is a mathematical statement showing that two or more mathematical expressions are equivalent or equal, shows the rate of change or consumption.

The rate of change that the equation demonstrates is computed as the unit of gas consumed per hour.

Gas Tank after 1 hour of driving = 7.25 gallons

Gas Tank after 4 hours of additional driving = 3.5 gallons

The quantity of gas consumed in 4 hours of driving = 3.75 gallons

The quantity of gas consumed per 1 hour of driving = 0.9375 gallons per hour (3.75/4).

The length of time that 3.5 gallons of gas can cover = 3.73 hours (3.5/0.9375)

= 3 hours 44 minutes.

Thus, Evin's car can only last for additional 3 hours 44 minutes, given the equation.

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The THREE true statements regarding the graph of B(w) are;

A) Based on the zeros of the function, the number of boxes of cereal sold is 0 after 0 weeks.

C) Based on the end behavior of the function, the number of boxes of cereal sold will keep falling after reaching the maximum.

E) Based on the asymptote of the function, the number of boxes of cereal sold will never reach 0 after the cereal is introduced in the store.

We are given the graph represented by the quadratic function;

B(w) = 120w/(150 + w²) for w ≥ 0 that models;

the number of boxes, B, in thousands, of the cereal sold after w weeks

From the graph, we can see that at the origin which is the coordinate (0, 0) that it remains so and as such the number of boxes of cereal sold is 0 after 0 weeks. Thus, option A is correct

Secondly, from the given graph, we see that the graph starts rising from zero to a maximum after which it keeps falling. Thus, we can say that option C is correct

Lastly, we see that the graph asymptote approaches 500 thousand boxes but never gets to zero and as such we can say that option E is correct.

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Dalton earns more money in one week.

Dalton earns $840 and Alma earns $735 in one week.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

The question requires us to work out the percentages of the pay each of Dalton and Alma gets.

Dalton makes;

40% of $2,100

which equals [tex]\frac{40}{100}[/tex] x 2100 = $840

While Alma makes;

20% of $3,675

which equals [tex]\frac{20}{100}[/tex] x 3,675 =  $735

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Answer:

25 m/s²

acceleration

Step-by-step explanation:

m = (100 - 25)/(4 - 1) = 75/3 = 25 m/s²

The slope is the rate of change in velocity as a function of time.

The rate of change of velocity is called the acceleration.

There is no change in the figure when the scale factor is 1 .

In the question ,

it is asked what will happen when the scale factor for a figure is 1 .

we know that ,

when the scale factor is greater than 1 , then new image is enlarged .

when the scale factor is 1 , then there is no change in the size of the image .

when the scale factor is less than 1 , then the new image is smaller than the original image .

Therefore , the size of the figure of the figure will remain the same when the scale factor is 1 .

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The 12 ounce can because you get more for only two cents more.

What is cost ?

A cost is the worth of money that has been used to produce something or provide a service and is thus no longer accessible for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.

To find which tuna is a better deal, divide the cost by the number of ounces of tuna you are getting to get the cost per ounce.

$0.90/5  = $0.18 per ounce

$2.40/12 = $0.20 per ounce

Since the 5-ounce can of tuna has a cheaper unit rate price, meaning you are getting a better value, makes this the best option.

0.90/5 = 18 cents per ounce

2.40/12 = 20 cents per ounce

The 12 ounce can because you get more for only two cents more.

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Answer:

y = -3× + 1

use slope intercept formula and

m= y1 -y2/x1- x2 plug in the coordinates.

Answer:

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

Given:

Total surface area:

Correct choice is A.

The probability that a person who tests positive actually has the disease is 0.1046.

This problem is a classic application of Bayes' law, but let's try a more concrete approach rather than a boilerplate approach.

Suppose 1,000,000 people are being tested.

According to the incidence, 0.5 percent should be ill, so we would expect 5,000 to be ill and 995,000 not to be ill.

We are testing 5000 of him for this disease. With only a 7% false negative rate, the test is pretty good. That is, out of 5,000 or 350 people with the disease, only 7% will test negative, and the remaining 4,650 will test positive.

We are testing 995,000 people who are not sick. With only a 4% false positive rate, the test is pretty good. That means only 4% of 995,000 or 39,800 diseased people will test positive. The remaining 955,200 will be negative.

4,650 sick and tested positive

39,800 not sick but tested positive

350 sick and tested negative

955,200 not sick but tested negative

our test 955,200 + 4,650 = 959,850 people tested

4,650 + 39,800 = 44,450 people tested positive, but only 4,650 actually tested positive. This is a very small percentage, only 465044450≈0.1046.

In other words, if your doctor says you tested positive, there's only about a 10.5% chance that you actually have the disease. That's the probability we're looking for, and this low value indicates that this test isn't very good.

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The conditional probability values are 0.57 and 0.43

Missing information

              Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

Given a person who has eaten snack A before, the customer will want to eat snack A

Given a person who has not eaten snack A before, the customer will want to eat snack

How to determine the probabilities?

The required probabilities are conditional probabilities, and they are calculated using:

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

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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The area of the rectangular yard is 153, 00 square feet

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

From the information, we have that;

Length = 300 feet

Width = 90 feet less than twice the length

Width = 2(300) - 90

Find the values

Width = 600 - 90

Width =510 feet

Now, substitute the values

Area = 510(300)

Area = 153, 00 square feet

Hence, the value is 153, 00 square feet

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Answer:

  4.675 g

Step-by-step explanation:

You want to know the grams of fat in both of 1.5 servings and 1.25 servings of pretzels that have 1.7 grams of fat per serving.

Lara ate 1.5 +1.25 = 2.75 servings of pretzels.

Each serving has 1.7 grams of fat, so her total fat intake from the pretzels is ...

  (1.7 g/serving) × (2.75 servings) = 4.675 g

4.675 g of fat were in both servings.

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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The right response is 21 days, minus any days that the location was unavailable or inaccessible.

This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..

Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.

Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.

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THE GRAPH IS ATTACHED ALONG WITH THIS

The parabola has a minima, vertex and a y-intercept.

Given,

Since the equation is quadratic, the parabola has a vertex. To find it, do as follows:

x = -b/2a

Where:

a=1

b=-2

Then:

x = -(-2)/ 2 × 1 = 1

Substitute this into the equation to obtain y:

y = 1² - 2 × 1  + 3 = 2

The point of the vertex is (1,2)  

The sign of a is positive, therefore, the parabola has a minimum.

Substitute x=0 into the equation to find y-intercept:

y = 0² - 2 × 0 + 3

y = 3

You know that this point is (0,3)

Recognize that the parabola has a minimum, a vertex, and a y-intercept, and that you may graph it as shown in the accompanying image.

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Answer: It will take her 15 hours to walk 60 miles at the constant rate of 4 miles an hour.

Step-by-step explanation:

60/4 is 15. Kira's total is 60, and her rate is 4. Rate*time=distance, and distance/time=rate.

For a test concerning a mean, a sample of size is obtained from a normal population. the population variance is known in testing versus the test statistic. Therefore, The Null Hypothesis is Rejected.

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values ​​(magnitude and sign) of a particular data set.

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean.

Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.

For example, if you want to predict how a population of a certain age group will react to a new product, you can first test with a sample representative of your target group his size. In this case, the sample size is derived from the number of people interviewed in this age group.

Population variance is a measure of variance that determines how far each data point is from the population mean. Population variance can be defined as the average squared deviation from the mean of the data. Population refers to all observations within a finite group. Population variance is calculated based on the population. However, as the number of observations increases, some data points are selected that can represent the entire population. These specific data points form the sample, and the variance calculated from these data is called the sample variance. We can use the sample variance to estimate the population variance.

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Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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The coordinates of N' will be (4.5, 5.25)

The picture is given by the product of the corresponding point on the preimage and the scale factor, with the center of dilatation at the origin.

The origin is the center of dilatation of a quadrilateral MNOP.

The picture that results from the dilatation of MNOP = M'N'O'P'

The dilation scale factor is 1.5.

N's coordinates in MNOP = N (3, 3.5)

The coordinates of a point (x', y') on the picture after dilatation with the center at the origin, of the preimage (x, y) by a scale factor are given below;

   (x', y') = Scale factor × (x, y)

Which gives;

The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)

The coordinates of N' = (4.5, 5.25)

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Answer:

the ratio would be 6:2 or 6/2. Yes, the ratio of sugar to flour change when I compare the single batch to the double batch.

Step-by-step explanation:

Answer:

it is 0.26 your welcome

Step-by-step explanation:

Answer:

Step-by-step explanation:

X% x 300 = 78

X/100 x 300 = 78

X x 3 = 78

3X = 78

X = 26

∴26%

Answer:

y intercept) -1

slope) 4/3

Step-by-step explanation:

To find the slope, we first need to move the 1 to the other side to get:

y = 4/3x - 1

The slope of an equation is basically the number next to the x, and it calculates the rise over the run. For this equation, for example, the slope is:

4/3

The y-intercept is when the line crosses the y-axis. Since all slope intercept form problems are written as y = mx + b, the b defines the y-intercept in this case it is:

-1

The Car's first error is :

Cara subtracted 2 from 6 incorrectly.

Cara subtracted 2 from 6 incorrectly.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2*(6-2)

Calcular los dos primeros términos: 4 *(-6)/3+(-4)²-2* 4

Reducir la fracción al término menor, cancelando el máximo factor común:-4 * 2 (-4)²-2 * 4

Calcular la potencia:-4 * 2+16-2*4

Calcular los dos primeros términos:-8 + 16-2*4

Calcular los dos primeros términos:-8+16-2*4

Calcular los dos primeros términos:8-8

Calcular los dos primeros términos:0

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Answer:

x=1

Step-by-step explanation:

Answer: x=49

Step-by-step explanation:

equations

[tex]3\sqrt[]{153x} = 21\sqrt[]{153}[/tex]

To remove the radical on the left side of the equation, square both sides.

[tex](3\sqrt{153x})^{2}= (21\sqrt{153})^{2}[/tex]

1377x=67473

Divide each term in

1377x=67473 by 1377and simplify

x=49

The quotient would be 2.

Answer:2

Step-by-step explanation:

10/16 divided 5/16. Keep 10/16, switch division to multiplication/times turn 5/16 to 16/5 which you will get 160/80 and the answer will be 2 because 80x2 is 160 so 160/80 will be 2. You'll thank me.