The radius of the water well is 9 inches. Find the area of the water well

Probability that three of them were born in the same month is 8.8737104e-21.

Total students present in class = 25.

What is the probability such that three of them were born in the same month?

Numerous applications can be made of the mathematical computation of probability. Probability can be used, for instance, to forecast sales growth or to estimate the likelihood that a particular marketing strategy would be successful in attracting new clients. The probability of something happening can also be calculated using mathematical formulas.

The probability that an event will occur is determined by probability:

P(A) = f / N = favourable outcomes/ total number of outcomes.

Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event.

we have total 12 months in a year.

total sample space for 25 students = 12^25

3 studnets were born in same month

3 have to choose 1 month we have 12 ways. to choose.

22 have to choose remaining 11 months 22C11

P(A) = 12*22C11/12^25

= 8465184/12^25

=8.8737104e-21

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Answer:

see below

Step-by-step explanation:

y = 3/4x + 3

To find the y intercept, let x =0 and solve for y

y = 0+3

The y intercept is 3

To find the x intercept, let y =0 and solve for y

0 = 3/4x+3

-3 = 3/4x

-3 *4/3 = 3/4x*4/3

-4 =x

The x intercept is -4

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▹ Answer

y-intercept = 3

x-intercept = -4

▹ Step-by-Step Explanation

y = mx + b

y = 3/4x + 3

0 = 3/4x + 3

-3 = 3/4x

-3 * 4/3 = 3/4x * 4/3

x = -4

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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\(\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\\)

Answer:

I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.

Data collected from several entities over a period of time (minutes, hours, days, etc.) are called time series data.

Time series data is a type of data that is collected over a period of time, with measurements taken at regular intervals. The data is often used to track changes in a particular variable over time and to analyze patterns or trends in the data.

Examples of time series data include stock prices, temperature readings, and daily sales figures. Time series data can be used to make forecasts or predictions about future trends based on past data, and it is often analyzed using statistical methods such as trend analysis, seasonality analysis, and autocorrelation analysis.

Time series data can be represented graphically using a line chart or a scatterplot, with time on the x-axis and the variable of interest on the y-axis. Time series data can be univariate, meaning that there is only one variable being measured, or multivariate, meaning that there are multiple variables being measured at the same time.

Statistical methods are a set of techniques and procedures used to analyze and interpret data in order to draw meaningful conclusions from it. These methods involve the collection, analysis, and interpretation of data in order to identify patterns, trends, and relationships between variables.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

45 degrees

Step-by-step explanation:

The first angle of the triangle is 45 degrees. This can be determined by the given information that the second angle is 30 degrees larger than the first and the third angle is 3 times the second. Since the second angle is 30 degrees larger than the first, the first angle must be 15 degrees, and the third angle must be 3x15=45 degrees.

Answer:

A. Alternate Interior

Step-by-step explanation:

A. Alternate interior

Step-by-step explanation:

Angles a and b are alternate interior angles,

Alternate interior angles are equal.

Also,

a = b

The cost of 4.5 tonnes of rock is $56.25

Given,

cost of 1 tonne of rock=$12.50

then

to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,

cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25

Thus ,the cost of 4.5 tonnes of rock is $56.25.

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In polar coordinates, the radial distance "r" is defined as the distance from the origin to a point in the plane. Since distance cannot be negative, we only consider the positive square root of 3 in the range for this problem. So, the correct range for "r" is 0 ≤ r ≤ √3, and negative square root of 3 is not included because it doesn't represent a valid distance in polar coordinates.

To find the volume of the given solid enclosed by the hyperboloid −x2 − y2 + z2 = 6 and the plane z = 3 using polar coordinates, we need to express the equation of the hyperboloid in terms of polar coordinates.

Substituting x = rcosθ and y = rsinθ, we get:

−r2cos2θ − r2sin2θ + z2 = 6

Simplifying, we get:

z2 = 6 - r2

Since the plane z = 3 intersects the hyperboloid, we have:

3 = √(6 - r2)

Solving for r, we get:

r = √3

Hence, the range for r is 0 ≤ r ≤ √3.

In summary, the negative square root of 3 is not included in the range of r because r represents a distance and cannot be negative. The volume of the solid can be found by integrating the function f(r,θ) = √(6 - r2) over the range 0 ≤ r ≤ √3 and 0 ≤ θ ≤ 2π using polar coordinates. The result will be in cubic units and can be obtained by evaluating the integral.

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The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

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To find the function when it is divided by 2x-5 with a quotient of 2x^2-2x-3 and a remainder of -8, follow these steps:

1. Set up the division equation: function = (divisor × quotient) + remainder
2. Substitute the given terms: function = ((2x-5) × (2x^2-2x-3)) - 8

Now, expand and simplify the equation:

3. Multiply the divisor and quotient: function = (4x^3 - 4x^2 - 6x - 10x^2 + 10x + 15) - 8
4. Combine like terms: function = 4x^3 - 14x^2 + 4x + 7

The function in standard form is 4x^3 - 14x^2 + 4x + 7.

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Answer:

6.65 kilometers

Step-by-step explanation:

950 * 7 days a week = 6650 meters

6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers

Answer:

6.65  km

Step-by-step explanation:

Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable

\(\frac{950}{1}=\frac{x}{7}\)

Step 1: Switch sides

\(\frac{x}{7}=\frac{950}{1}\)

Step 2: Apply rule \(\frac{a}{1}=a\)

\(\frac{x}{7}=950\)

Step 3: Multiply both sides by 7

\(\frac{7x}{7}=950\cdot \:7\)

Step 4: Simplify

\(x=6650\)

Expressed: \(\frac{6650 meters}{1000}\) (convertion to kilometers) = 6.65 kilometers

Therefore, Janet would walk 6.65 km in an entire week

Answer:

55

Step-by-step explanation:

test taking strategy if you have no idea how to calculate the angle: n is an acute angle, so definitely not 100 or 110.  it can't be 25 cause it appears much bigger than 25. so it has to be 55.

Answer:

54

Step-by-step explanation:

63 x 2 = 126

180 - 126 = 54

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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To find the volume of the smallest cube-shaped box that can contain the pyramid, we need to first determine the length of the smallest edge of the box. Since the base of the pyramid is a square, the smallest edge of the box will be the diagonal of the square base of the pyramid.

Using the Pythagorean theorem, we find that the diagonal is:√(10² + 10²) = √200 = 10√2 inches Thus, the length of each edge of the smallest cube-shaped box that can contain the pyramid will be 10√2 inches. The volume of a cube is given by the formula

V = s³, where s is the length of one of its edges. Therefore, the volume of the box will be:(10√2)³ = 1000√8 cubic inches To simplify this expression, we can use the fact that √8 = √(4 · 2) = 2√2. Thus, the volume of the box is:1000√8 = 1000 · 2√2 = 2000√2 cubic inches Therefore, the volume of the smallest cube-shaped box that can contain Eric's pyramid is 2000√2 cubic inches, or approximately 2827.43 cubic inches to two decimal places.

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To solve the given difference equation using the z-transform, we first need to define the z-transform of a sequence. So, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2).

The z-transform of a sequence y(k) is denoted as Y(z) and is defined as the summation of y(k) times z^(-k), where z is a complex variable. So, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2)

Now, let's solve the difference equation step by step:

1. Take the z-transform of both sides of the equation. Using the linearity property of the z-transform, we get:
\(Y(z) - 3z^{-1}Y(z) + 2z^{-2}Y(z) = 2z^{-1}U(z) - 2z^{-2}U(z)\)

2. Simplify the equation by factoring out Y(z) and U(z):
\(Y(z)(1 - 3z^{-1} + 2z^{-2}) = 2z^{-1}U(z) - 2z^{-2}U(z)\)

3. Divide both sides of the equation by (1 - 3z^(-1) + 2z^(-2)):
\(Y(z) = (2z^{-1}U(z) - 2z^{-2}U(z))/(1 - 3z^{-1} + 2z^{-2})\)

4. Substitute the given expression for U(z):
\(Y(z) = (2z^{-1}k - 2z^{-2}k)/(1 - 3z^{-1} + 2z^{-2})\)

5. Simplify the equation by performing algebraic manipulations:
\(Y(z) = (2z^{-1}k - 2z^{-2}k)/(1 - 3z^{-1} + 2z^{-2})\)
    \(= (2z^{-1}k - 2z^{-2}k)/(z^{-2} - 3z^{-1} + 2)\)

6. Rewrite the equation in terms of partial fraction decomposition:
Y(z) = A/(z - 1) + B/(z - 2)

7. Solve for the values of A and B by equating the numerators on both sides:
\(2z^{-1}k - 2z^{-2}k = A(z - 2) + B(z - 1)\)

8. Substitute z = 1 and z = 2 into the equation above to find the values of A and B:
At z = 1: \(2(1)^{-1}k - 2(1)^{-2}k = A(1 - 2) + B(1 - 1)\)
            2k - 2k = -A
            A = 0
At z = 2: \(2(2)^{-1}k - 2(2)^{-2}k\) \(= A(2 - 2) + B(2 - 1)\)
              k - k/2 = B
              B = 1/2

9. Substitute the values of A and B back into the partial fraction decomposition equation:
Y(z) = 0/(z - 1) + 1/(2(z - 2))
    = 1/(2(z - 2))

10. Take the inverse z-transform of Y(z) to find the solution y(k):
y(k) = 1/2 * (2^k) * u(k-2)
Therefore, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2).

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Answer:

9

Step-by-step explanation:

Do it left from right.

[6+-7]-(-8)+4-2

[-1-(-8)]+4-2=[-1+8]+4-2

[7+4]-2

11-2

9

I don't know Spanish/what laugnange you speak sorry.

Answer:

-3,8

Step-by-step explanation:

Equation: z-7+3=4

z-7+3=4

z=4+7-3

z=11-3

z=8

See below for the solution to each question

Yes, the graph is a function.

This is because all x values have different y values

This is the set of input values of the graph.

From the graph, we have

x = 0 to x = 17

Hence, the domain is [0, 17]

This is the set of output values of the graph.

From the graph, we have

y = 0 to y = 10

Hence, the range is [0, 10]

This is the maximum point on the graph.

From the graph, we have

Maximum = (12, 10)

This is the minimum point on the graph.

From the graph, we have

Minimum = (0, 0)

These are the intervals where the y values increase as x increase.

From the graph, we have

Increasing intervals = (0, 5) ∪ (10, 12) ∪ (14, 15)

These are the intervals where the y values decrease as x increase.

From the graph, we have

Decreasing intervals = (7, 10) ∪ (12, 14) ∪ (15, 17)

These are the intervals where the y values remain unchanged as x changes.

From the graph, we have

Constant intervals = (5, 7)

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Answer:

printer A = 10 pages a min

Step-by-step explanation:

Answer:

10.41

Step-by-step explanation:

hehe

Answer:

11

Step-by-step explanation:

Total number of pencils needed = 125 × 2 = 250

Total number of boxes = \(\frac{250}{24}\) = 10.416

the teacher need to buy 11 boxes

Answer
(-3) - (-10) = 7

|7| = 7

7

The side length of the large frame is 4 inches longer than the side length of the small frame.

To find the difference in side lengths between the small square frame and the large square frame, we need to find the length of the sides of each frame.

Let x be the length of the side of the small square frame. Then, we know that the area of the small frame is 16 square inches.

Area of small frame = side length of small frame x side length of small frame = 16
\(x^2 = 16\)

Taking the square root of both sides, we get:
\(x = 4 inches\)

So, the length of the side of the small square frame is 4 inches.

Now, let y be the length of the side of the large square frame. We know that the area of the large frame is 64 square inches.

Area of large frame = side length of large frame x side length of large frame = 64
\(y^2 = 64\)

Taking the square root of both sides, we get:
y = 8 inches

So, the length of the side of the large square frame is 8 inches.

To find the difference in side lengths, we subtract the length of the small frame from the length of the large frame:
\(y - x = 8 - 4 = 4\)

Therefore, the side length of the large frame is 4 inches longer than the side length of the small frame.

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Answer:

\(v=48 cm^3\)

Step-by-step explanation:

→ \(v=(l)(w)(h)\)

→ \(v=(4)(2)(6)\)

→ \(v=48 cm^3\)

\(-------------\)

hope it helps...

have a great day!!