Express 11.454545... as a ratio of two integers.
Write your answer as a fraction in its simplest form.

The quartiles of rainfall in April for the city are:

The quartiles refers to the e values that split sorted data into four parts each with an equal number of observations

To determine quartiles, we first need to sort the data in ascending order which are:

[tex]0.76, 1.08, 1.32, 1.55, 1.83, 2.09, 2.57, 2.83, 3.01, 3.25,\\3.63, 3.78, 4.09, 4.32, 4.64, 4.93, 5.23, 5.34, 5.44, 5.73[/tex]

There are 20 data points, so, median (Q2) will be the average of the 10th and 11th values.

Q2 = (3.25 + 3.63) / 2

Q2 = 3.44.

Q1 = (1.83 + 2.09) / 2

Q1 = 1.96.

Q3 = (4.64 + 4.93) / 2

Q3 = 4.79.

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Answer:

588π

Step-by-step explanation:

Volume of cylinder = π r ² h

=  π (7)² (12)

= 588π

The line of the best fit that models the data is added as an attachment

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

The graph

To draw a line to model the data is to draw the line of best fit

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the model is attached

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Answer:

x=3

Step-by-step explanation:

1.25/5.00=2/8=x/12=1/4

12=x×4

x=12÷4

x=3

The intervals on f(x) is increasing on (-∞, 0) and (8/3, ∞), and decreasing on (0, 8/3).

The intervals on which the function f(x) = x³ − 4x² + 10 is increasing or decreasing need to find its derivative and determine its sign.

f(x) = x³ − 4x² + 10

f'(x) = 3x² − 8x

The critical points we set f'(x) = 0 and solve for x:

3x² − 8x = 0

x(3x − 8) = 0

x = 0 or x = 8/3

These are the critical points of the function.

Now we can determine the sign of f'(x) in each interval:

Interval (-∞, 0):

Choose x = -1. f'(-1)

= 3(-1)² - 8(-1)

= 11 is positive.

So f(x) is increasing on (-∞, 0).

Interval (0, 8/3):

Choose x = 1. f'(1) = 3(1)² - 8(1)

= -5 is negative.

So f(x) is decreasing on (0, 8/3).

Interval (8/3, ∞):

Choose x = 3. f'(3) = 3(3)² - 8(3)

= 19 is positive.

So f(x) is increasing on (8/3, ∞).

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Answer:

23x+250 and that would equal your total cost

The probability that the first person will be seated at a plastic table is 0.8

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

Plastic tables = 12

Composite tables = 3

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

Total tables = 12 + 3

Evaluate the sum

Total tables = 15

So, we have the probability to be

P = Plastic tables/Total tables

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

P = 12/15

Evaluate

P = 0.8

Hence, the probability that the first person will be seated at a plastic table is 0.8

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There are three dots above the greatest height.

We have,

The greatest height is 75

The smallest height is 62

Now,

We can make a line plot as:

*                                       *

*         *         *        *         *

*         *         *        *         *    

62     66     68     72     75

Thus,

There are three dots above the greatest height.

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Answer:

6.6 x 10^6

Step-by-step explanation:

Any options to pick from?

Most pens are about 13-14 cm or approx 5.5 inches.

Answer: The last one is the right one

Step-by-step explanation:

So first solve for n

1/2n+3<5

1/2n<2, multiple by 2 on both sides to remove fraction

n<4

the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.

The function pairs that are inverses are:

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

To determine if two functions are inverses, we need to check if applying one function and then the other function will return the original input.

Let's go through each option:

A) f(x) = -2x and g(x) = (1/2)x

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f((1/2)x) = -2(1/2)x = -x

Since f(g(x)) = -x ≠ x, these functions are not inverses.

B) f(x) = 4x² and g(x) = √x

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f(√x) = 4(√x)² = 4x

Since f(g(x)) = 4x = x, these functions are not inverses.

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f((x + 3)/5) = 5((x + 3)/5) - 3 = x + 3 - 3 = x

Since f(g(x)) = x, these functions are inverses.

D) f(x) = x² - 16 and g(x) = x - 4

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f(x - 4) = (x - 4)² - 16 = x² - 8x + 16 - 16 = x² - 8x

Since f(g(x)) = x² - 8x ≠ x, these functions are not inverses.

Based on the analysis above, the function pairs that are inverses are:

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

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The complete question:

Which of the following function pairs are inverses?

A) f(r) = -2x and g(x) = (1/2)x

B) f() = 4x² and g(x) = √x.

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

D) f(x) =x² - 16 and g(x) = x - 4

The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).

The actual width of the soccer field is 60 yards.

Given, the scale of the drawing is 1 inch : 5 yards.

The width of the soccer field in the drawing is 12 inches.

So, the actual width of the soccer field can be found by multiplying the width in the drawing by the scale factor:

Actual width = Width in drawing x Scale factor

The scale factor is 5 yards per inch, so we can write:

Actual width = 12 inches x 5 yards per inch

Actual width = 60 yards

Therefore, the actual width of the soccer field is 60 yards.

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The equivalent value of the expression is A = four thousand two hundred and A = 4,200

Given data ,

Let the expression be represented as A

Now , the value of A is

A = four thousand two hundred

On simplifying the equation , we get

A = 4,200

And , when we write "four thousand two hundred," it is written in word form

Hence , the equation is A = 4,200

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Answer:

Step-by-step explanation:

its 123 jd

Explanation, step-by-step

You would need two angles to know the lines are parallel

Answer:

A. Point estimates are used to make inferences about population parameters.

The measure of the angles is c = 37. 5 degrees

d = 15 + 37.5 = 52. 5 degrees

To determine the value, we need to know what complementary angles are;

Complementary angles are defined as pair of angles whose sum is equal to 90 degrees

From the information given, we have that;

Angle c and d are both complementary angles

Also, the measure of angle d is 15 degrees greater than the measure of angle c

Then, we have;

d = 15 + c

Substitute the values

c + 15 +c = 90

collect like terms

2c = 90 - 15

2c = 75

Divide both sides by the coefficient

c = 37. 5 degrees

Substitute the value for angles d

d = 15 + 37.5 = 52. 5 degrees

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Answer: Infinity

Step-by-step explanation: Since 0 doesn't have a measurable amount of times it can go into 28 the answer is infinity.

Step-by-step explanation:

Answer and Explanation:

The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .

The area of the triangular figure is 16 m²

The area of a triangle is given by A = 1/2bh where

Given the figure below, we see that it is two triangles with height, h = 2 m and base, b = 8 m.

Since the area of each triangle is A = 1/2bh, and the area of both triangles are the same, then the area of both triangles is A" = A + A

= 2A

= 2(1/2bh)

= bh

Substituting the values of the variables into the equation, we have that

A" = bh

= 8 m × 2 m

= 16 m²

The area is 16 m²

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The solution for w is given by the natural logarithm of 88 divided by 3x, all raised to the power of 1/5.

Exponential functions are always increasing or decreasing, depending on the sign of the base "a".

The graph of an exponential function has a characteristic shape that depends on the base "a". When "a" is greater than 1, the graph is an increasing curve that becomes steeper as x increases; when "a" is between 0 and 1, the graph is a decreasing curve that approaches the x-axis as x increases.

Starting with the equation:

[tex]-3xe^{(5w)} = -88[/tex]

We can first isolate the exponential term by dividing both sides by -3x:

[tex]e^{(5w)} = \dfrac{88 }{ (3x)}[/tex]

Then, taking the natural logarithm of both sides, we get:

[tex]5w = ln(\dfrac{88} { 3x})[/tex]

Finally, dividing both sides by 5, we obtain the solution for w:

[tex]w = (\dfrac{1}{5}) ln(\dfrac{88} { 3x})[/tex]

Therefore, the solution for w is given by the natural logarithm of 88 divided by 3x, all raised to the power of 1/5.

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The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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