The monthly cost for 46 minutes of calls is 12.75. What is the monthly cost for 52 minutes of calls?

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

 7   because i took that test :3

Step-by-step explanation:

im 1000% positive

Based on the calculations, the simplified value of the expression above is equal to: C. 7.

In Mathematics, an expression can be defined as a mathematical equation which shows the relationship between two (2) or more numerical quantities such as being equal.

In this exercise, we would simplify the given expression by solving the numerator and denominator respectively:

Numerator = 4(-8 + 4.5)

Numerator = 4(-3.5)

Numerator = -14.

For the denominator, we have:

Denominator = 6.25 + (-8.25)

Denominator = 6.25 - 8.25

Denominator = -2.

Substituting the parameters, we have;

\(\frac{4(-8+4.5)}{6.25+(-8.25)} = \frac{-14}{-2} \\\\\frac{4(-8+4.5)}{6.25+(-8.25)} =7\)

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Answer:

56.5 ft

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴\(\frac{AB}{SinD} =\frac{AD}{sinB}\)

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

So, The length of the tree = 56.5 ft.

The answer is 56.5 ft

Answer:

A

Step-by-step explanation:

43987-32650= 11337

And it’s more

Answer:

  1.4%

Step-by-step explanation:

Avery's error was ...

  measured - actual = 14.7 in - 14.5 in = 0.2 in

As a fraction of the actual length, that is ...

  (0.2 in)/(14.5 in) × 100% ≈ 1.4%

The measurement error was about 1.4%.

Answer:

13th term

Step-by-step explanation:

41 = 7n - 50

41 + 50 = 7n

91 = 7n

7n = 91

n = 91/7

n = 13

13th term has value 41

Answer:

n = 13

Step-by-step explanation:

7n - 50 = 41

Add 50 to both sides

7n = 41 + 50

7n = 91

Divide both sides by 7

n = 91/7

n = 13

Answer:

45.1

Step-by-step explanation:

96 x .47  = 45.12

Rounded to the nearest tenth is 45.1

Percent means per hundred \(\frac{47}{100}\)  to divide by 100 you move the decimal place to places to the left.

Answer:

-1<0 then 9x+5

f(-1)=9*-1+5

f(-1)=-9+5= -4

f(0)=9x+10

f(0)=10

f(2)=9x+5=28

Answer:

V≈718.38

Step-by-step explanation:

The volume of this cone is 718.38 cubic centimeters.

Have a nice day!

Answer:

x + 13 = 34

Step-by-step explanation:

its true

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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Given the function h described by h(x) = x + 2, find each of the following:

h(0) = 0 + 2 = 2

h(-7) = -7 + 2 = -5

h( -13) = -13 + 2 = -11

h (10) = 10 + 2 = 12

h (d + 4) = d + 4 + 2 = d + 2 + 6

Answer:

1. 160cm²

2. 176.25cm²

3. 33.75ft²

Step-by-step explanation:

Area triangle = (1/2)(base)(height)

1)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(8)(9))+2(0.5(8)(11))

=72+88=160cm²

2)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))

= 56.25 + 120 = 176.25cm²

3)

total area = 2(area small triangle) + 2(area big triangle)

= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))

= 11.25+22.5 = 33.75ft²

Answer:

1. Choclate Drink

2. Coffee

3. 19 % difference

4.  1 % difference

5. 42% difference

Step-by-step explanation:

An arrangement of more than one repeating shape with no spaces or overlapping between shapes is a semi-regular tessellation

Given data ,

Let the semi-regular tessellation be represented as A

Now , the value of A is

A semi-regular tessellation is a tiling of the plane by two or more regular polygons in such a way that every vertex has the same configuration of polygons in the same order

Therefore , an arrangement of more than one repeating shape with no spaces or overlapping between shapes

Hence , the semi-regular tessellation is solved

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Answer:

Step-by-step explanation:

152

Answer:

(6x- 4) (x+2)

Step-by-step explanation:

Hope this will help you

Answer:

x = 9

Step-by-step explanation:

6x + 9x - 3 + 48 = 180

15x= 180 -45

x = 135 / 15

x = 9

i hope my answer is correct and helps a little bit.

Answer:

x=9

Step-by-step explanation:

Answer:

Domain:\(0 \le t \le 9\)

Range: \(7200 \ge \ d \ge \ 0\)

Step-by-step explanation:

Given

\(d = 7200 - 800t\)

Required

Determine the domain and range

From the attached graph, the values of t (on the horizontal axis) starts from 0 and ends at 9.

Hence, the domain is: \(0 \le t \le 9\)

When t = 0:

\(d = 7200 - 800t = 7200 - 800 * 0 = 7200\)

When t = 9

\(d = 7200 - 800t = 7200 - 800 * 9 = 0\)

Hence, the range is:

\(7200 \ge \ d \ge \ 0\)

Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Therefore, the length of curve DE is 1.05 times the length of line segment AB, or 5% longer than AB.

A triangle is a two-dimensional geometric shape that consists of three straight sides and three angles. The sum of the three angles in a triangle is always equal to 180 degrees. Triangles are one of the basic shapes in geometry and are used in many applications, including architecture, engineering, and science. Triangles can be described and analyzed using various formulas and properties, such as the Pythagorean theorem (which relates the sides of a right triangle), the law of sines and cosines (which relate the sides and angles of any triangle), and the area and perimeter formulas.

Here,

Let's assume that the length of line segment AB is equal to some value a. If curve DE is 5% longer than AB, then the length of curve DE would be:

DE = AB + 5% of AB

Using the formula for finding a percentage of a number, we can rewrite this as:

DE = AB + 0.05 * AB

Simplifying this expression, we can factor out AB:

DE = AB(1 + 0.05)

Substituting a for AB, we get:

DE = a(1 + 0.05)

DE = a(1.05)

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The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The length and width of the rectangle are 3x + 2 and x += 4

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

Area = 3x^2 + 14x + 8

Expamd the expression

So, we have

Area = 3x^2 + 12x + 2x + 8

Factorize the equation

This gives

Area = 3x(x + 4) + 2(x + 4)

Rewrite as

Area = (3x + 2)(x + 4)

This means that the dimensions are 3x + 2 and x += 4

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The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.