A bowl contains four balls numbered 1 through 4. You select the four balls successively,


without replacement, until none remain in the bowl.


a) What is the probability that the two even numbered balls are selected before the odd


numbered balls?


b) What is the probability that the balls are not selected in size order (i. E. 1, 2, 3, 4 or 4, 3, 2,1) ?

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Answer:

0/2

Step-by-step explanation:

Answer:

A:-1

Step-by-step explanation:

Answer:  There are 8   3/4 in 6.

Step-by-step explanation:

To find out how many 3/4 are in 6,  then divide  6 by 3/4.

6 ÷ 3/4 = 8  

Applying the rules for the constant, logarithm and exponents, the derivative of the given function is of:

f'(x) = 3/x - 6x² - 8/(x^5).

The function is given by:

f(x) = √2^3 + ln(x^3) - 2x^3 - log_3(729) - 2/x^4

The derivative of a sum is the sum of the derivatives, hence:

f'(x) = (√2^3)' + (ln(x^3))' - (2x^3)' - (log_3(729))' - (2/x^4)'

The derivative of a constant is of zero, hence:

Hence:

f'(x) = (ln(x^3))' - (2x^3)' - (2/x^4)'.

The derivative of the logarithm is given by:

ln(h(x))' = (1/h(x)) x h'(x).

Hence:

(ln(x^3))' = 3x²/x³ = 3/x.

The derivative of the power of x is given by:

[x^n]' = nx^(n-1).

Hence:

Hence the derivative of the function is given by:

f'(x) = 3/x - 6x² - 8/(x^5).

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The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

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Answer:

\(x=47\)°

Step-by-step explanation:

A statement which is a reflection of the shape is: B. A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Geometry, a reflection across the x-axis of a graph is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, the preimage of the triangle would be transformed to the image as follows:

(x, y)                              →               (x, -y)

Ordered pair 1  = (2, 2) → Ordered pair 1' = (2, -2)

Ordered pair 2 = (2, 6) → Ordered pair 2' = (2, -6)

Ordered pair 3 = (4, 2) → Ordered pair 3' = (4, -2)

Assuming the triangle is reflected across the y-axis, we have:

(x, y)                              →               (-x, y)

Ordered pair 1  = (2, 2) → Ordered pair 1' = (-2, 2)

Ordered pair 2 = (2, 6) → Ordered pair 2' = (-2, 6)

Ordered pair 3 = (4, 2) → Ordered pair 3' = (-4, 2)

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Complete Question:

A shape is shown on the graph:

Which of the following is a reflection of the shape?

a) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 4, 2 and negative 4, 6.

b) A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2, and 2, negative 6.

c) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, 2 and negative 2, 4 and negative 6, 2.

d) A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 2, negative 4 and 6, negative 2.

Answer:

A ≈ 418.9 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{120}{360}\) ( r is the radius )

 = π × 20² × \(\frac{1}{3}\)

 = \(\frac{400\pi }{3}\)

 ≈ 418.9 cm² ( to the nearest tenth )

Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.

Basically, the margin of error is stated as follows:

Error margin, E = Z* (Standard deviation)

Therefore, the calculation of the margin of error does not employ the mean at all.

The margin of error is computed using the standard deviation.

The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.

It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.

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The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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The flux of the vector field F through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation cannot be determined due to the lack of a finite area on the given portion of the plane in the x-y plane.

To compute the flux of the vector field F = (xy, 3yz, 2zx) through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation, we need to evaluate the surface integral of the vector field over the given portion of the plane.

First, we need to parameterize the surface that lies on the plane. Since the equation of the plane is given as 3x + 2y + z = 6, we can express z in terms of x and y as z = 6 - 3x - 2y.

Next, we need to determine the bounds for the variables x and y. Since we are considering the portion of the plane in the first octant, we need to find the values of x and y that satisfy the conditions x ≥ 0, y ≥ 0, and 3x + 2y + z ≤ 6.

Substituting the expression for z in the inequality, we have 3x + 2y + 6 - 3x - 2y ≤ 6, which simplifies to 0 ≤ 0. This condition is always satisfied and does not provide any useful bounds.

Therefore, the portion of the plane in the first octant does not have any boundaries in the x-y plane that define a finite area. As a result, the surface integral and, consequently, the flux of the vector field through this portion of the plane cannot be calculated.

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Answer:

64 pi

Step-by-step explanation:

Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

\(5(m + 1) - 1 \\ 5m + 5 - 1 \\ 5m + 4\)

Answer:

5m+4

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

According to this description, we'd have a 180 angle cut into three angles labeled 60, 70, and y. Therefore, we'd subtract the sum of 60 and 70 from 180. Since y and x are vertical angles, they are congruent.

70+60=130

180-130=50

Answer:

retang gular figure of 7 ft and 12 ft

Step-by-step explanation:

i want 100 thx

To find the volume of the solid region bounded by the paraboloids y = x^2 and z = 4 - x^2, we need to set up triple iterated integrals in terms of x, y, and z.

One way to do this is to integrate over x first, then y, then z, or vice versa. Here are six different triple iterated integrals we can use:

1. ∫∫∫d dz dy dx
2. ∫∫∫d dx dy dz
3. ∫∫∫d dx dz dy
4. ∫∫∫d dy dx dz
5. ∫∫∫d dy dz dx
6. ∫∫∫d dz dx dy

Let's evaluate the first integral:

∫∫∫d dz dy dx

We start by finding the limits of integration for z. The paraboloid z = 4 - x^2 is above the paraboloid y = x^2, so the lower limit for z is y - x^2, and the upper limit is 4 - x^2.

Next, we find the limits of integration for y. The paraboloid y = x^2 is a function of x, so the limits are given by the x-values that bound the region d. Since the paraboloids intersect at x = -2 and x = 2, the limits for y are x^2 and 4 - x^2.

Finally, we find the limits of integration for x. The region d is symmetric about the yz-plane, so we can integrate over x from 0 to 2 and multiply by 2 to get the full volume. Therefore, the limits for x are 0 and 2.

Putting it all together, we have:

∫∫∫d dz dy dx = ∫0^2 ∫x^2^(4-x^2) ∫y-x^2^(4-x^2) dz dy dx

Evaluating this integral is a bit messy, but it can be done with some algebraic manipulation and trigonometric substitutions. The answer turns out to be: 64/15

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Answer:

Table (1)

Step-by-step explanation:

We have to find the table representing a linear function with slope = 5 and y-intercept = 20.

We know y-intercept means value of the function at x = 0,

From all the tables given in picture,

Table (1) shows the value of the function is 20 at x = 0,

So the table (1) should be the answer.

Now we will recheck the answer for the slope = 5

Since slope of a line passing through the two points \((x_1,y_1)\) and \((x_2,y_2)\) is calculated by the formula,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of the line passing through (-4, 0) and (0, 20) will be,

m = \(\frac{20-0}{0-(-4)}\)

    = 5

Now we are sure that Table (1) is the answer.

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

It would be -x greater than or equal to 2

Step-by-step explanation:

Both equations both add up to -x being greater than or equal to 2

Answer:

x= 10

Step-by-step explanation:

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

Answer:

14 [m].

Step-by-step explanation:

1) in the square ABCD AC is diagonal, its length can be calculated as AB*√2;

2) the length of AB can be calculated:

AB=√Area(ABCD); ⇒ AB=√98;

Then

3) AC=√98*√2=14 [m].

Answer:

\(14\:m\)

Step-by-step explanation:

ABCD is a square. (Given)

\( \implies \: A(square) = \overline{AB} ^{2} \\ \\ \implies \: 98 = \overline{AB} ^{2} \\ \\ \implies \: \overline{AB} = \sqrt{98} \\ \\ \implies \: \overline{AB} = \sqrt{ {7}^{2} \times 2} \\ \\ \implies \: \overline{AB} = 7\sqrt{ 2}\\\\\implies \overline{AC}= \overline{AB} \times \sqrt 2 \\\\\implies \overline{AC}= 7\sqrt{ 2} \times \sqrt 2\\\\\implies \overline{AC}= 14\: m\)

Answer:

5x+4x^17+3x^5-7

Step-by-step explanation:

When we divide 5 by 6, we have a proper fraction:

Answer: proper fraction

The fraction is 5/6