x/3.5 = 20/1.4 get it to be equal

Step-by-step explanation:

\(\huge{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}\)

one flower pot can fill=30g

we have 9kg=9000g.

so,

9kg soil fill=

\(\rightsquigarrow\) \(\tt{\dfrac{9000}{30} }\) ⠀

\(\rightsquigarrow\) \(\tt{ \dfrac{\cancel{9000}}{\cancel{30}} }\) ⠀

\(\rightsquigarrow\) \(\tt{300 }\) ⠀

so,

300 pieces 30g flower pot can pack 9kg soil.

The prior distribution for γ that is induced by the uniform prior for θ is the logistic distribution. The prior is informative about γ.

1. Start with the uniform prior for θ: p(θ) = 1 for 0 ≤ θ ≤ 1
2. Use the transformation γ = log(θ/(1-θ)) to find the prior distribution for γ
3. The Jacobian of the transformation is |dθ/dγ| = (1-θ)θ
4. Apply the change of variables formula: p(γ) = p(θ)|dθ/dγ|
5. Substitute the expressions for p(θ) and |dθ/dγ|: p(γ) = 1*(1-θ)θ
6. Rewrite (1-θ)θ in terms of γ using the transformation: (1-θ)θ = 1/(1+e^(-γ))^2
7. Simplify the expression for p(γ): p(γ) = 1/(1+e^(-γ))^2
8. Recognize that this is the probability density function of the logistic distribution

Therefore, the prior distribution for γ that is induced by the uniform prior for θ is the logistic distribution. The prior is informative about γ because it is not a uniform distribution; it assigns higher probabilities to values of γ near 0 and lower probabilities to values of γ far from 0.

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There are 504 different ways the medals can be awarded to the nine competitors.

To find the number of ways the medals can be awarded, we can use the permutation formula:
nPr = n! / (n-r)!
where n is the total number of competitors and r is the number of medals to be awarded (in this case, r=3).
Plugging in the values, we get:
9P3 = 9! / (9-3)!
    = 9! / 6!
    = (9 x 8 x 7 x 6!) / 6!
    = 9 x 8 x 7
    = 504
Therefore, there are 504 different ways the medals can be awarded to the nine competitors. In this situation with nine gymnasts competing for first, second, and third place medals, you can use the concept of permutations. A permutation is an arrangement of objects in a specific order. There are 9 options for the first-place medal, 8 options remaining for the second-place medal, and 7 options remaining for the third-place medal. To find the total number of different ways to award the medals, simply multiply the available options for each position:
9 (first place) × 8 (second place) × 7 (third place) = 504
So, there are 504 different ways to award the first, second, and third place medals to the nine competitors.

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A frustum is one of two pieces of a double cone divided at the vertex. A double cone is a three-dimensional shape that is created by connecting two cones with their vertices touching.

When the double cone is cut through the vertex, it creates two pieces known as frustums. A frustum has a circular base and a smaller circular top, which are parallel to each other. The height of the frustum is the distance between the two circular bases.

The volume of a frustum can be calculated using the formula V = (1/3)h(a^2 + ab + b^2), where h is the height, a is the radius of the larger base, and b is the radius of the smaller top. Frustums are commonly found in architecture and engineering, such as in the design of buildings and bridges.

A "napped cone" is one of two pieces of a double cone divided at the vertex. When a double cone is bisected through its vertex, it results in two identical, mirror-image napped cones. These geometric shapes have various applications in mathematics, engineering, and design due to their unique properties.

Napped cones share some characteristics with regular cones, such as having a circular base, but their pointed vertex is replaced by a flat plane where the double cone was divided. This creates a shape that is both symmetrical and easy to manipulate for various purposes.

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The rate can be expressed as "3 players per sport"

A rate is a ratio that compares two quantities with different units. In this case, we have 30 players and 10 sports. To express this as a rate, we want to compare the number of players to the number of sports. We can write this as:

30 players / 10 sports

To simplify this ratio, we can divide both the numerator (30 players) and denominator (10 sports) by the same factor to get an equivalent ratio. In this case, we can divide both by 10:

(30 players / 10) / (10 sports / 10)

This simplifies to:

3 players / 1 sport

So the rate can be expressed as "3 players per sport" or "3:1" (read as "three to one"). This means that for every one sport, there are three players.

Alternatively, we can express the rate as a fraction or decimal by dividing the number of players by the number of sports:

30 players / 10 sports = 3 players/sport = 3/1 = 3 or 3.0 (as a decimal)

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The probability that the mean cost for plan amazing will be more than the mean cost for plan best is 0.764.

To find the probability that the mean cost for plan amazing will be more than the mean cost for plan best, we need to compare the two sample means.
First, we need to find the standard error of the difference between two means, which is the standard deviation of the sampling distribution of the difference between two means.
The formula for the standard error of the difference between two means is:
SE = sqrt((s1^2/n1) + (s2^2/n2))
Where s1 and s2 are the standard deviations of the two populations, and n1 and n2 are the sample sizes.
Plugging in the values we have:
SE = sqrt((13.58^2/37) + (7.18^2/40)) = 2.76
Next, we need to find the z-score for the difference between the two sample means:
z = (x1 - x2) / SE
Where x1 and x2 are the sample means.
Plugging in the values we have:
z = (39.17 - 41.16) / 2.76 = -0.72
Finally, we can find the probability that the mean cost for plan amazing will be more than the mean cost for plan best by finding the area to the right of the z-score on the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the probability is 0.764.
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Answer:

E[X|Y = y] = E[X] (by the definition of independence)

Step-by-step explanation:

To show that E[aX + bY + c] = aE[X] + bE[Y] + c, we can use the linearity of the expected value:

E[aX + bY + c] = E[aX] + E[bY] + E[c] (by linearity of E[ ])

= aE[X] + bE[Y] + c (since E[c] = c for any constant c)

To show that Var(aX + bY + c) = aVar(X) + 2abCov(X, Y) + b2Var(Y), we can use the definition of variance:

Var(aX + bY + c) = E[(aX + bY + c - E[aX + bY + c])^2]

= E[((aX - aE[X]) + (bY - bE[Y]) + c)^2]

= E[(aX - aE[X])^2] + E[(bY - bE[Y])^2] + E[c^2]

+ 2aE[(aX - aE[X])(bY - bE[Y])] + 2cE[aX - aE[X]] + 2cE[bY - bE[Y]]

= a^2 E[(X - E[X])^2] + b^2 E[(Y - E[Y])^2] + c^2 + 2abE[(X - E[X])(Y - E[Y])]

+ 2ac(aE[X] - aE[X]) + 2bc(E[Y] - E[Y])

= aVar(X) + b^2Var(Y) + 2abCov(X, Y)

Finally, if X and Y are independent, then Cov(X, Y) = 0, so:

E[X|Y = y] = E[X] (by the definition of independence)

This means that the expected value of X given a particular value of Y is simply the expected value of X, regardless of the value of Y.

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Answer:

complementary angles, right angle

Step-by-step explanation:

If two angles are complementary angles, then their sum is equal to a right angle

If two angles are complementary angles, then their sum is equal to a right angle

In this problem

-------> by complementary angles

we have

Substitute and solve for Angle TSU

therefore

the answer is the option

65%

Answer:

65 is the measure of angle TSU.

Explanation: This is the correct answer on Edge 2021, just took the unit test. Hope this helps ^-^.

Answer:

1.) The highest point is 14 feet.  That occurs at 1.5 seconds where the graph is at the highest.

2.) The solution is t = 4.  Solution can also be written as (4,0). So at 4 seconds, the squirrel is at the ground (h = 0)

3.) The vertical intercept is 9 feet.  That means that at t=0, the squirrel's height is 9 feet.  In other words, the squirrel's starting height is 9 feet

Step-by-step explanation:

Answer:

-3.5 is the answer

I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .

Answer:6/100×59000

=$3540

Step-by-step explanation:

Answer:

His salary for the month is 7.540$.

Step-by-step explanation:

He gets 4,000$ this month + 6% of 59,000$ (6 x 59,000 = 354,000 -->354,000 / 100 = 3,540)

Therefore 4,000 + 3,540 = 7,540$

The cups of blueberries David uses for the pancakes are \(1\frac{5}{8}\).

Given info,

David has 3 1/2 cups of blueberries. He uses 1/4 of a cup of blueberries to make a breakfast smoothie. He uses 1/2 of the remaining blueberries to make blueberry pancakes.

To find how many cups of blueberries he uses for the pancakes;

A starting estimate of blueberries is 3 1/2 cups = 7/2

He made a smoothie with 1/4 cup of blueberries.

The remaining cups are 7/2 - 1/4, which is (14 - 1)/4 = 13/4

He made blueberry pancakes using half of the leftover blueberries.

In other words, he made blueberry pancakes with half of the 13/4 cups of blueberries.

To create pancakes, he needed (1/2 * 13/4) = 13/8

                                                                        = 1 5/8 cups.

The required solution is in the simplest fraction form.

Hence, the cups of blueberries he uses for the pancakes are \(1\frac{5}{8}\).

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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The probability of drawing two jacks in a row from a deck of 52 cards without replacement is equal to option(B) 0.005.

Total number of cards in a deck = 52

Number of Jack in deck of cards = 4

Probability of getting a jack on the first draw is

= 4/52

Now, there are only 3 jacks remaining in a deck of 51 cards.

This implies,

Probability of drawing another jack on the second draw given that the first card was a jack

= 3/51

Probability of drawing two jacks in a row,

Multiply the probability of drawing

= (a jack on first draw by another jack on second draw given first card was a jack)

⇒ P(two jacks)

= (4/52) × (3/51)

= 1/13 × 1/17

= 1/221

= 0.00452489

= 0.005 (rounded to three decimal places).

Therefore, the probability of drawing two jacks in a row is equal to option(B) 0.005.

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The consequences of Type I and Type II errors in this context have different impacts on the transportation officials and the drivers, and their levels of anger would vary depending on the error committed.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

(a) The null hypothesis (H₀) and alternative hypothesis (Ha) can be formulated as follows:

Null hypothesis (H₀): The mean number of cars per day that cross the Tappan Zee Bridge has not increased.

Alternative hypothesis (Ha): The mean number of cars per day that cross the Tappan Zee Bridge has increased.

(b) Type I error: In the context of the problem, a Type I error would occur if the null hypothesis (H₀) is rejected, indicating that the mean number of cars per day has increased when it actually has not. This means that the transportation officials would conclude that the tolls need to be raised to fund repairs based on incorrect evidence.

Type II error: A Type II error would occur if the null hypothesis (H₀) is not rejected, indicating that the mean number of cars per day has not increased when it actually has. In this case, the transportation officials would fail to raise the tolls despite the actual increase in the number of cars crossing the bridge, potentially leading to insufficient funding for the repairs.

(c) If a Type I error is committed, the transportation officials would be more angry. This is because they would have mistakenly raised tolls based on incorrect evidence, which could lead to public backlash, dissatisfaction, and criticism. The drivers, on the other hand, may also be frustrated by increased tolls, but they would not be as directly affected by a Type I error as the transportation officials.

(d) If a Type II error is committed, the drivers would be more angry. This is because the transportation officials would have failed to raise tolls despite the actual increase in the number of cars crossing the bridge. This could lead to delays in repair funding and potentially worsen the condition of the bridge, causing inconvenience and safety concerns for the drivers who rely on it.

The transportation officials may also face criticism for not taking appropriate action in a timely manner, but the direct impact on the drivers would be more significant in this case.

Therefore, the consequences of Type I and Type II errors in this context have different impacts on the transportation officials and the drivers, and their levels of anger would vary depending on the error committed.

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The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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Similar figures have sides that are proportional and corresponding angles are congruent to each other

The solution to the differential equation (y - x + xy cot(x)) dx + x dy = 0 is given by y = (C + sin(x) - x cos(x)) / (x sin(x)).

To solve the given differential equation, we will separate the variables and integrate. Rearranging the equation, we have:

(y - x + xy cot(x)) dx + x dy = 0

(y - x) dx + (xy cot(x)) dx + x dy = 0

Integrating both sides, we get:

∫(y - x) dx + ∫(xy cot(x)) dx + ∫x dy = 0

The first integral gives (1/2)y^2 - x^2 + C_1, where C_1 is the constant of integration. The second integral can be solved by substituting u = x sin(x), leading to an integral of u du, which evaluates to (1/2)u^2 + C_2, where C_2 is another constant of integration. Finally, the third integral gives xy.

Combining these results, we have:

(1/2)y^2 - x^2 + (1/2)(x sin(x))^2 + C_1 + C_2 + xy = 0

(1/2)y^2 + (1/2)x^2 sin^2(x) + C_1 + C_2 + xy = 0

Simplifying further, we obtain:

y^2 + x^2 sin^2(x) + 2C_1 + 2C_2 + 2xy = 0

Since 2C_1 + 2C_2 is a constant, we can rewrite it as C. Thus, we have:

y^2 + x^2 sin^2(x) + 2xy = -C

y^2 + x^2 sin^2(x) + 2xy + C = 0

Dividing through by x^2 sin(x), we arrive at:

(y/x sin(x))^2 + y/x + 2 = -C / (x^2 sin(x))

Finally, substituting y/x sin(x) with z, we get:

z^2 + z + 2 = -C / (x^2 sin(x))

This is a separable equation in terms of z. Integrating both sides and solving for z, we obtain:

z = ± sqrt((-C / (x^2 sin(x))) - 2 - 1)

Substituting back z = y/x sin(x), we have:

y/x sin(x) = ± sqrt((-C / (x^2 sin(x))) - 3)

Multiplying through by x sin(x), we get:

y = ± x sin(x) sqrt((-C / (x^2 sin(x))) - 3)

Simplifying further, we have:

y = ± sqrt(-C - 3x^2 sin(x))

Since C is a constant, we can replace it with C' = -C, leading to:

y = ± sqrt(C' - 3x^2 sin(x))

Therefore, the solution to the given differential equation is y = (C + sin(x) - x cos(x)) / (x sin(x)).

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The accurate interpretation of this data is that income inequality in the United States increased between 1990 and 2018, as the Gini coefficient rose from 0.43 to 0.49.

The Gini coefficient is a measure of income inequality, with values ranging from 0 (perfect equality) to 1 (maximum inequality). In this case, the increase in the Gini coefficient from 0.43 in 1990 to 0.49 in 2018 indicates that the distribution of income in the United States became more unequal over this period.

This could be due to various factors such as changes in government policies, globalization, technological advancements, or shifts in the labor market. An increase in income inequality may have implications for social mobility, economic growth, and overall societal well-being.

It is essential for policymakers and stakeholders to analyze the underlying causes of this increase in inequality and develop strategies to address it.

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A z-score represents the number of standard deviations a data point is away from the mean. A score that is 2.5 standard deviations below the mean would have a z-score of -2.5 that is option D.

A z-score is a statistical measure that indicates how many standard deviations a particular data point is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value of the data point,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

If a score is 2.5 standard deviations below the mean, it means that the value of x is 2.5 times the value of σ below the mean. In other words, it is located in the left tail of the distribution.

Since the z-score represents the number of standard deviations away from the mean, a score that is 2.5 standard deviations below the mean would have a z-score of -2.5. The negative sign indicates that the score is below the mean.

So, if we substitute the values into the z-score formula:

z = (x - μ) / σ

-2.5 = (x - μ) / σ

This equation represents the z-score being -2.5, indicating that the score is 2.5 standard deviations below the mean.

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The SSS(Side-Side-Side) Triangle congruency is proven by following rule.

In SSS (Side-Side-Side) condition the two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

In mathematics, the term "congruent" refers to figures and shapes that can be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes. A triangle is a closed polygon with three line segments that intersect at each of its three angles.

Two shapes are congruent if their sizes and forms are comparable. Additionally, if two shapes are congruent, then their mirror images are likewise congruent.

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Answer:

wefew

Step-by-step explanation:

awhefiuLLLESoagFVRESESGREGESRGSAERG$W$EG$%agwafer

The indefinite integral of x²(x³+7)⁷dx is (1/57)(x⁵⁷) + (7/36)(x³⁶) + C, where C is the constant of integration and indefinite integral of (3x-3)¹⁸dx is (1/19)(3x-3)¹⁹ + C, where C is the constant of integration.

To evaluate the indefinite integral ∫x²(x³+7)⁷dx, we can apply the power rule for integration and distribute the x² term:

∫x²(x³+7)⁷dx

= ∫x^(2+3)(x³+7)⁷dx

= ∫x^(5)(x³+7)⁷dx

Now, we can simplify the integral and apply the power rule again:

\(∫x^{(5)}(x³+7)⁷dx\\= ∫(x^8+7x^5)⁷dx\\= ∫(x^56 + 7^7x^35)dx\)

Using the power rule for integration, the integral becomes:

\((1/57)(x^{57}) + (7/36)(x^{36}) + C\)

Therefore, the indefinite integral of x²(x³+7)⁷dx is (1/57)(x⁵⁷) + (7/36)(x³⁶) + C, where C is the constant of integration.

For the indefinite integral ∫(3x-3)¹⁸dx, we can again apply the power rule for integration:

∫(3x-3)¹⁸dx

= (1/19)(3x-3)¹⁹ + C

Therefore, the indefinite integral of (3x-3)¹⁸dx is (1/19)(3x-3)¹⁹ + C, where C is the constant of integration.

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Correct question is "Evaluate the indefinite integral. (Use C for the constant of integration.)

∫x²(x³+7)⁷dx

Evaluate the indefinite integral. (Use C for the constant of integration.)

∫(3x−3)¹⁸dx"

Answer:

Dodecagon (12 sides)

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

I would say possibly a high B or a A-

Step-by-step explanation:

Answer:

Not enough information provided!

Step-by-step explanation:

You would need to tell us the total amount of points from all your assignments!

To get a glimpse of the contents of the DataFrame named "flavors_df," you can use the head() function. This function allows you to view the first few rows of the DataFrame, providing a quick overview of the data organization.

In Python, when you have a DataFrame named "flavors_df," you can use the head() function to view the first few rows of the DataFrame. The head() function is a useful tool for getting an initial understanding of the data's structure and contents. By default, it displays the first five rows of the DataFrame, but you can specify the number of rows you want to see by passing an argument to the function.

Here's an example of how you can use the head() function to view the contents of the "flavors_df" DataFrame:

scss

Copy code

flavors_df.head()

Executing this code will output the first five rows of the DataFrame. If you want to see a different number of rows, you can pass the desired number as an argument to the head() function. For instance, flavors_df.head(10) will display the first ten rows of the DataFrame. This quick glimpse allows you to assess the data's structure and decide on further analysis or data manipulation steps based on the available information.

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Step-by-step explanation:

The correct domain is [3,8].

Scale factor of area is the square of the scale factor of length

The required values are;

Reason:

The given parameters are;

The area of the square garage = 370 ft.²

The area of the new garage has 50% more space

Required;

Part A

The initial side length

The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;

Part B

The side was increased by 50%, to give,

370 + 0.5×370 = 555

The new area of the garage = 555 ft.²

The side length of the new garage, s = √(555) ≈ 23.6

Part C

The percentage increase is given as follows;

\(The \ percentage \ increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }\)

\(The \ percentage \ increase \ in \ length = \dfrac{\sqrt{555} - \sqrt{370} }{\sqrt{370} } \times 100 \approx 22.5 \%\)

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