which number is the largest?
A) 7.2 • 10^-6
B) 3.09 • 10^3
C) 2.04 • 10^4
D) 5 • 10^3

The equation y = 3/4x describes the relationship

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

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function we can see from the graph of the function will be from  [\(\dfrac{-\pi}{8}\) , -3 ] and  [ \(\dfrac{3\pi}{8}\),3]

The domain of the function will be all the values of the real numbers for the function ranges from  ( 0, ∞ ).

Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].

The complete question is given below:-

what is the domain and range of the function

F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] .

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Any graph that has a horizontal line at a period stays constant for a while.

In all cases, the function is moving right. If the function is moving right but the vertical axis remains constant, forming an horizontal line, the function is constant for that period.

Hence the graph in this problem shows that the height stays constant for a while because it has a horizontal line.

(the problem is incomplete as the graph is not given, but the explanation for a constant function is always this).

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Answer:

242

Step-by-step explanation:

165 ÷ 15 = 110

110 × 2.2 = 242

The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A train covers 165 km in 1.5 hours.

The ratio of distance covered to the number of hours is 165/1.5.

Let's say in 2.2-hour train travel x number of km.

The ratio of distance covered to the number of hours x/2.2

Both ratios must be the same,

x/2.2 = 165/1.5

x = 110 x 2.2 = 242 km

Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".

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Answer:

a. \(50b + 250 \leq 3000\)

b. 55 boxes

c. 5 trips

Step-by-step explanation:

a. Each box weighs 50lbs and the number of boxes is our variable. If you add the worker's weight (180) and the cart's weight (70) you get a constant weight of 250. All of this cannot weigh more than 3000, therefore it can weigh equal to or less than it. Therefore, the equation is \(50b + 250 \leq 3000\).

b. Solve the equation to find the maximum amount of boxes that he can move in one trip, like this:

\(50b + 250 \leq 3000\\50b \leq 2750\\b \leq 55\)

Therefore, the greatest number of boxes that the worker can move is 55 boxes.

c. Divide the total number of boxes (275) by the amount of boxes that can be taken in one trip (55) to find how many trips it will take. Like this:

275/55 = 5

The worker needs to make 5 trips in order to deliver 275 boxes.

I hope this helps!!

- Kay :)

Answer:

a.) 3000 *no more than symbol* 180 + 70 +50b

Answer:

Step-by-step explanation:

buenas tardes .....

solucion

Volumen de un cilindro: es igual al área de la tapa por la altura del mismo

A = πD² * h / 4

Lata grande y lata pequeña

Para la lata grande, el diámetro y la altura han aumentado un 20%.

Lata pequeña:

d = 4 cm

h = 3 cm

A 1 = π * (4) ² * 3/4

A1 = 37,70 cm²

Lata grande:

d = 4 * 1,2 = 4,8 cm

h = 3 * 1,2 = 3,6 cm

A2 = π (4,8) ²3,6 / 4

A2 = 65,14 cm²

Si 37,7 representa el 100%

  65,14 representación x

x = 170%

El incremento del volumen es de un 70%

Answer: the answer is B

Step-by-step explanation:

Answer:b

Step-by-step explanation:

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

Step-by-step explanation:

3 hours × 15 miles/hour = 45 miles

(a) The null hypothesis in symbols is H0: µf-µm ≥ 0, The alternative hypothesis in symbols is Ha: µf-µm < 0

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

(c) Since the P-value of 0.0177 is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that birthweight is lower when the elder sibling is male.

(a) The null hypothesis is H0: µf-µm ≥ 0, where µf is the mean birthweight of babies born after a female and µm is the mean birthweight of babies born after a male. The alternative hypothesis in symbols is Ha: µf-µm < 0, indicating that the birthweight of babies born after a male is lower than those born after a female.

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

A P-value of 0.0177 means that there is a 1.77% chance of observing a difference in birthweight as extreme as the one observed in the sample, assuming that birthweight is the same for babies born after a male and those born after a female.

(c) We can rule out the null hypothesis because the P-value of 0.0177 is below the significance level of 0.05, meaning there is evidence to support the idea that birthweight is lower when the older sibling is a male.

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The probability of selecting no more than 2 defectives in a sample of 10  a) without replacement is 0.36077 and b) with replacement is 0.14093

a)

Here it is given that the objects are selected without replacement one after the other and the box contains only 20 items

Here we can see that the no. of items i.e the population is finite and the items are selected one after another without replacement.

Hence, this is a case of Hyper-Geometric distribution.

For a Hyper-Geometric distribution

P(X = x) = \(\frac{^{k}C_x X ^{N-k}C_N-x }{^{N}C_n }\)

where,

N = The Population

n = no. of samples selected

k = no. of success.

Here

k = no. of defectives present

= 20% of 20

= 20/100 X 20

= 4

n = 10

N = 20

x = 2

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 0)

Therefore we get

⁴C₀ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₀₎ / ²⁰C₁₀     +     ⁴C₁ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₁₎ / ²⁰C₁₀  +

⁴C₂ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₂₎ / ²⁰C₁₀

= ⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

ᵇCₐ = b!/(b - a)! X a!

Therefore,

⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

= 0.04334 + 0.24768 + 0.06975

= 0.36077

b)

Here the sample is selected with replacement

There are 4 defective and 16 non-defective items

Let A be the event of selecting not more than 2 defectives with replacement

According to the problem, 2 out of 4 defectives are selected while the rest are not defective.

Hence n(A) =  n(getting 0 defective) + n(getting 1 defective) + n_getting 2 defectives)

= 16¹⁰    +    4 X 16⁹   +     4² X 16⁸

= 1443109011456

Similarly, the total no. of ways to choose an item is

n = 20¹⁰

Probability of any event

= no.of favorable outcomes/total no. of outcomes

Hence, P(A) = n(A) / n

= 4² X 16⁸ / 20¹⁰

= 0.14093

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Answer:

-8.95

Step-by-step explanation:

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Hello!

Answer:

\(f^-1 (x)= 4x^2+3\)

Hope this helps!

Answer:

44

Step-by-step explanation:

8/2=4

4x11=44

He attempted 44 field goals throughout the season. :)

Hope this helps and I'd appreciate a brainliest.

Answer: The kicker must have attempted 44 field goals.

Step-by-step explanation:

If the kicker missed 2 out of every eleven field goals, then this is a division and multiplication problem.

8 ÷ 2 lets us know what number to multiply 11 by, which in this case, is 4.

4 x 11 = 44, and in the context of the question, this would mean that the kicker attempted 44 total field goals.

The correlation here in the provided graph is a positive trend and the equation for line of best fit will be as follows:

y = 1/4x

Correlation is a statistical method for determining the association or relationship between two variables. To put it another way, the correlation coefficient formula facilitates the calculation of the correlation coefficient, which assesses the degree to which one variable depends on another.

The correlation coefficient is a numerical indicator of correlation. Between -1 and 1, the correlation coefficient is found. An inverse association between two variables is shown by a negative correlation coefficient. A high correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero-correlation coefficient.

Here in the question,

The graph shows a positive trend as its increasing upwards. The equation for the line of best fit will be y =1/4x.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

x=40.25

Step-by-step explanation:

Well you didn't state what the relationships of the angles to each other were but I can only assume that they're the inside of a triangle or vertical angles so you would do

5x+180=9x+19

and then solve and x would equal 40.25

The probability of the sum equaling 5 is 1/9

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

Rolling two dice

When two dice are rolled, we have

Outcomes = 36

Sum of 5 = 4

using the above as a guide, we have the following:

P = Sum of 5/Outcomes

substitute the known values in the above equation, so, we have the following representation

P = 4/36

Evaluate

P = 1/9

Hence, the probability is 1/9

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The provided code contains errors related to the method declaration and constructor usage in the Die class. The main goal is to design a Die class that can hold a value from 1 to 6 and assign a random value to the die object.

The error "invalid method declaration; return type required" on line 8 indicates that the constructor declaration is incorrect. In Java, constructors don't have a return type, so the syntax should be modified. To fix this, remove the return type "Die()" from line 8, leaving only "Die() {".

Additionally, there are a few minor issues in the code:

The variables HIGHEST_DICE_VALUE and LOWEST_DICE_VALUE should be declared as static constants outside the main method.

The generate Random() method should be non-static, as it operates on the instance variable "value".

The if statement condition in the main method has a syntax error. The symbol ">" should be replaced with ">" for comparison.

The else if condition is incomplete. It should be "else if (x < y)" instead of just "else if (x{".

By addressing these issues and correcting the syntax errors, the code should run without errors and correctly display the values of two dice, along with a comparison of their values.

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The correct is (C) μ = -0.05 and σ = 0.15. The investigator is using the sample proportion p to estimate the true proportion of red blossoms in his hybrid plants.

The sample proportion p is expected to be normally distributed with a mean of μ = 0.15 and a standard deviation of σ = sqrt(p(1-p)/n), where n is the sample size. Substituting the values given, we get σ = sqrt(0.15(1-0.15)/50) = 0.05. However, since the investigator anticipates that the proportion of red blossoms is 0.15, he expects the sample proportion to be close to this value. Therefore, the mean of the sample proportion distribution should be close to the anticipated proportion, which is 0.15 - p = 0.15 - 0.15 = -0.05. Therefore, the correct answer is (C) μ = -0.05 and σ = 0.15. The investigator's anticipated proportion of red blossoms in his hybrid plants is 0.15. With a random sample of 50 plants, the sample proportion (p) follows a normal distribution. To determine the mean (μ) and standard deviation (σ), we can use the given information:
μ = p = 0.15 (anticipated proportion)
n = 50 (sample size)
We can calculate the standard deviation using the formula for binomial distribution:
σ = √(p(1-p)/n) = √(0.15(1-0.15)/50) = √(0.15*0.85/50) ≈ 0.05
Thus, the correct answer is (B) μ = 0.15 and σ ≈ 0.05.

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Since 56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

From the table, we are told that 1 pint of Cold farm costs $2.50, this can be written as:

56pints of the cold farm will cost (56 * 2.50) = $140

Similarly, 1 quartz of Cold farm costs $4.75, this can be written as:

28pints of the cold farm will cost (28 * 4.75) = $133

56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

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Answer:

let the remaining sides be X and Y

perimeter = X + Y + 13

24 = X + Y + 13

11 = X + Y ---(1).

Area = 1/2 * base * height

24 = 1/2 * X * Y

XY = 48.-----(2)

solving eq 1 and 2

X + Y = 11

XY = 48

Xy + y² = 11y

Xy = 48

y²= 11y - 48

y² -11y + 48 = 0

no real solution of this equation.

Answer:

Step-by-step explanation:

the triangle is NOT a 3–4–5 or multiple,

so it is not a right triangle or your data is wrong.

We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

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Answer:

No

Step-by-step explanation:

To make this simpler, we will round each number. 917 rounds to 900 and 33 rounds to 30. 900 * 30 = 27,000. We can do this in our head because 9 * 3 = 27, and there are three zeros total between 900 and 30, so we add three zeros after 27. 2750 is not a reasonable answer because the true answer is about 10 times greater than 2750.

Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

The probability that James will take the same mode of transportation twice is 1/9.

To find the probability that James will take the same mode of transportation twice, we need to calculate the probability of each individual transportation option and then multiply them together.

In the morning, James has 3 transportation options: bus, cab, or train. Since he randomly chooses his ride, the probability of selecting any particular option is 1 out of 3 (assuming all options are equally likely).

Therefore, the probability of James selecting the same transportation mode in the morning and evening is 1/3.

Hence, the probability that James will take the same mode of transportation twice is 1/3 multiplied by 1/3:

P(same mode of transportation twice) = 1/3 * 1/3 = 1/9.

Therefore, the probability that James will take the same mode of transportation twice is 1/9.

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Answer:

Step-by-step explanation:

The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.

__

The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...

We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.

The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.

_____

Additional comment

The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.

A government structure that is authoritarian or dictatorial in nature would be threatened by debate over public policy.

In such a system, the government exercises complete control over decision-making and any opposition or dissent is not tolerated.

Open debate and discussion over public policy would challenge the authority of the government and its ability to maintain control over the population.

Democracies, on the other hand, thrive on healthy debate and discussion over public policy, as it allows for diverse perspectives and ideas to be heard and considered.

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