A bag contains 7 marbles: 4 red, 2 yellow, and 1 green. Three
marbles are to be selected from the bag, one at a time, without
replacement. If the order of selection does not matter, how many
color combinations of the three marbles are possible?

The x-component of fluid acceleration in terms of x and y is 2.

To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.

However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.

Given: u = 2x + y^2

To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:

ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2

The x-component of fluid acceleration, ax, is simply 2.

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False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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Answer:

-1/3x+1

Step-by-step explanation:

rise over run is negative

Answer:

The answer is -1/3x +1 :)

Step-by-step explanation:

Answer: 6 - 1/4 z or 6 - z/4

Step-by-step explanation: One fourth of z can be represented as 1/4 z

(or z/4).  When something is subtracted from something else, it can be represented as the second value given minus the first value given.

6 - 1/4 z or 6 - z/4

Algebraic means of and relating to the algebra. The words “algebraic” or “algebra” have so much different meanings in mathematics, still their meanings aren't as variable like the meanings of the words such as “go” have in the English. Algebra has to do with operations, especially addition or multiplication and summerizing.

One fourth of z can be represented as 1/4 of z (or z/4)

When something is subtracted from something else, this can be represented as the 2nd value given minus the 1st value given

so One fourth of z is 1/4 of z (or z/4)

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer:

(-2, 1/9)  (-1, 1/3)  (0,1) (1,3) (2,9)

the right graph is graph B

Step-by-step explanation:

To find the y values, input each of the x values in the function and solve them with a calculator. The negative x values may give decimals, but if you start with the positive ones first, you'll notice a pattern in the graph, which will help you figure out what the fraction form of the decimals are.

Once you have the table, use the table to find the points on the right graph.

Answer: Y = Z!

Step-by-step explanation: Hopes This Helps!

Answer:

-1

Step-by-step explanation:

The 3 in the domain points to the -1 in the range

Answer:

12

Step-by-step explanation:

all go into 12

Answer:

2/3=4/6

Step-by-step explanation:

they both are proportional

The maximal value of the sample covariance is \(sx*sy\), which represents the highest correlation possible between X and Y.

The formula for the sample covariance between X and Y is given by \(cov(X,Y) = (1/(n-1)) Σ (xi - xmean)(yi - ymean)\). The maximal value for the sample covariance is equal to the product of the standard deviations of X and Y, which can be calculated using the formula \(sx*sy = (1/(n-1)) Σ (xi - xmean)^2 * (1/(n-1)) Σ (yi - ymean)^2\). Using the Cauchy-Schwarz Inequality, we can know that \(cov(X,Y) < = sx*sy\). Therefore, the maximal value of the sample covariance is sx*sy, which represents the highest correlation possible between X and Y.

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Answer:

Its 4 but ima just explain it :- )

Step-by-step explanation:

okay so what you gotta do is 60 - 47.50=12.5/3=4.166666

4.1666 you turn into 4

Maximum possible number of gigabytes 47.50+ 3x ≤ 60

The number of maximum gigabytes of data he can use would be 4.

Inequality is defined as the relation which makes a non-equal comparison between two given functions. It shows a relationship between two numbers or two expressions.

We have,Cost of flat per month = $47.50

Cost per gigabyte = $3

Maximum bill per month = $60

Maximum possible number of gigabytes as;

47.50 + 3x ≤ 60

Where x is the number of gigabytes.

Solve for x;

47.50 + 3x ≤ 60

3x ≤ 60 - 47.50

3x ≤ 12.5

x ≤ 47.50/3

x ≤ 4.1

x ≤ 4

This means that the number of maximum gigabytes of data he can use is 4.

We can cross-check.

47.50 + 3 x 5 ≤ 60

47.50 + 15 ≤ 60

61 ≤ 60 ( not possible )

So,

47.50+ 3 x 4 ≤ 60

47.50 + 12 ≤ 60

58 ≤ 60

Thus,

The number of maximum gigabytes of data he can use is; 4.

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Answer:

the amplíetude of the function is 1.5

Step-by-step explanation:

.

Answer:

10x + 30

Step-by-step explanation:

That's the answer!

Answer: 12(x-5)

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

f(x) = g(x) , substitute values

3x - 4 = - 2x + 1 ( add 2x to both sides )

5x - 4 = 1 ( add 4 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Answer:

x = 19.8

Step-by-step explanation:

Answer:

y= 52, x = 5

Step-by-step explanation:

since A = 52 degrees its the same on the otherside

so y= 52

to work out x:

(14x + 6) + 52 + 52 = 180 (sum of all angles in a triangle)

(14x + 6 ) + 104 = 180

14x +6 = 76

14x = 70

x = 5

The probability that Sheri is chosen first and Nikita is chosen second is 1/756.

The probability of Sheri being chosen first is 1/28, since there are 28 contestants and each one has an equal chance of being chosen first.

After Sheri has been chosen, there are 27 remaining contestants, so the probability of Nikita being chosen second is 1/27, since there are now only 27 contestants left and each one has an equal chance of being chosen second.

To find the probability of both events happening together (Sheri being chosen first and Nikita being chosen second), we multiply the probabilities of each event

= 1/28 x 1/27

Multiply the numbers

= 1/756

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The range of the projectile is approximately 6.9 meters when launched from an initial position of 0.4 meters relative to ground level.

To calculate the range of a projectile, we can use the following formula:

Range = (v₀² * sin(2θ)) / g

where:

v₀ is the initial velocity of the projectile

θ is the launch angle

g is the acceleration due to gravity

First, we need to convert the angle from degrees to radians:

θ_rad = 39 degrees * (π/180) ≈ 0.6807 radians

Now, we can substitute the values into the range formula:

Range = (16² * sin(2 * 0.6807)) / 9.8

Range ≈ 6.9 meters

Therefore, the range of the projectile is approximately 6.9 meters when launched from an initial position of 0.4 meters relative to ground level and lands at a position of -0.2 meters relative to ground level.

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Real GDP increase in 2019 was $16 trillion, representing a 6.67% increase from 2012. The price level rose by 5% from 2012 to 2019, with a GDP price index of 105 in 2019.

To calculate the percentage increase in production from 2012 to 2019, we need to use the following formula:

Percentage increase in production = ((Real GDP in 2019 - Real GDP in 2012) / Real GDP in 2012) x 100

Substituting the given values, we get:

Percentage increase in production = ((16 trillion - 15 trillion) / 15 trillion) x 100

Percentage increase in production = (1 trillion / 15 trillion) x 100

Percentage increase in production = 6.67%

Therefore, there was a 6.67% increase in production from 2012 to 2019.

To calculate the percentage increase in price level from 2012 to 2019, we can use the following formula:

Percentage increase in price level = ((GDP price index in 2019 - GDP price index in 2012) / GDP price index in 2012) x 100

Substituting the given values, we get:

Percentage increase in price level = ((105 - 100) / 100) x 100

Percentage increase in price level = (5 / 100) x 100

Percentage increase in price level = 5%

Therefore, the price level rose by 5% from 2012 to 2019.

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Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

A point, line, other geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

rotation of 90° clockwise: When a figure is rotated 90 degrees anticlockwise, each point must be converted from (x, y) to (y, -x) before the rotated figure may be graphed.

Before Rotation - (x, y)

After Rotation - (y, -x)

Translation of points is 5 units to the right.

Thus, Figure J is transformed to figure K by the rotation of 90° clockwise followed with the translation of 5 units right.

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Area for the given triangle ABC is \(\frac{1}{2}\) * b * h. Where b is the breadth and h is height.

Let h be the height of the triangle.

Length of hypotenuse is b.

Let E be the point of interaction between C and A, where B is the perpendicular point.

Area of triangle ABC = area of triangle ABE + area of triangle CBE

Area of triangle ABC = (y * h)/2 + (x * h)/2

Area of triangle ABC = (y * h + x * h)/2

Area of triangle ABC = h *(y + x)/2

Notice that y + x is the length of the base of triangle ABC.

Thus, it is ok to say that y + x = b

Therefore, area of triangle ABC = (h * b)/2

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Answer:

yes, it has an inverse

Answer:

Yes,It has an inverse

Step-by-step explanation:

Horizontal Line Test

If any horizontal line intersects the graph of more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Answer:

Piece1:  12.7 meters

Piece2:  39.9 meters

Product of the two to nearest tenth: 506.7

Step-by-step explanation:

Piece1:   x

Piece2:  x + 27.2

x + x + 27.2 = 52.6

2x + 27.2 = 52.6

2x = 25.4

x = 12.7

Piece1:   12.7

Piece2:  12.7 + 27.2 = 39.9

Product of the two pieces:

12.7 * 39.9 = 506.73

The length of shadow cast by the building is 214.45 feet.

Let x be the length of building's shadow.

We have been given that the sun is 25 degrees above the horizon. The length of the building is 100 feet tall.

We can see that the length of the building is opposite side and the length of the shadow is adjacent side for the angle of 25 degrees.

Since tangent relates the opposite side of right triangle with adjacent side, so we can set an equation to find the length of building's shadow as:

tan⁡ = opposite/adjacent

tan⁡25=100/x

x=100/tan⁡25

=214.4506921

Rounding to two decimal places

Length of the shadow = 214.45 feet

Therefore, the length of shadow cast by the building is 214.45 feet.

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Given question is incomplete, the complete question is below

the sun is 25° above the horizon. find the length of a shadow cast by a building that is 100 feet tall

Answer:

Step-by-step explanation: the picture is not put correct it is sidewords so i dont understand what it says

If θ is the angle between u and v, then

u • v = ||u|| ||v|| cos(θ)

Since u = -3v, we have

u • v = (-3v) • v = -3 ||v||²

and

||u|| = ||-3v|| = 3 ||v||

If v₁ and v₂ are both not zero, then ||v| ≠ 0.

Then

cos(θ) = (-3 ||v||²) / (3 ||v|| ||v||) = 1

which means θ = π rad = 180°.

If Two planes are parallel and each plane contains a line, the two lines are  not skew because In the event that any two lines fall on a single plane, they will either intersect or be parallel to one another. Both instances violate the concept of a skew line because the skew lines are neither parallel nor intersect.

Infinitely many lines cross through, yet only one of them is parallel to. Lines that never intersect and are in distinct planes are known as skew lines. Parallel lines and skew lines are distinguished by the fact that they both reside in the same plane, whereas skew lines do not.

The two lines would overlap at some point if the two planes on which they are located weren't parallel, which again defies the definition of skew lines.

Therefore, The skew lines are thus present if and only if both lines fall on a pair of parallel planes.

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The probability that b will occur given that a has occurred is 2/5 as the probability of a is 0.45 and the probability of the intersection of a and b is 0.15.

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

P(A)=0.45

P(A∩B)=0.15

P(A∪B)=1

P(B)=1-(0.45+0.15)

=1-0.60

=0.4

=2/5

With a probability of 0.45 and a and b's intersection having a 0.15 probability each, the likelihood that b will happen given that a has happened is 2/5.

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