what is the surface area of a cube that is 4 cm on each edge?

The it is used to understand the likelihood of getting a particular outcome or event from a population.It is important to note that the probabilities for parametric probability distribution models are expressed as cumulative probabilities. Cumulative probabilities are used to evaluate the probability of a particular event or outcome.

Probabilities for parametric probability distribution models are expressed as cumulative probabilities.Parametric probability distribution refers to a type of probability distribution in which the probability distribution is defined by the probability distribution's parameters. The parameters are usually numeric values that define the distribution's probability density function (PDF) or probability mass function (PMF).The probability distribution is usually used to model a population's characteristics.

It is used to help understand the probability of obtaining a particular set of results from a population.Cumulative probabilities Cumulative probability refers to the probability of obtaining a score equal to or lower than a particular value in a given distribution. It is a probability value that is used in statistical analysis, which is usually represented by the area under the probability distribution's curve.The cumulative probability can be expressed as follows:P(X ≤ x)Where;X: random variablex: score or valueCumulative probabilities are used to evaluate the probability of a particular event or outcome.

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Based on the information, the correct answer is: reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit.

The graph of function g is a reflection of the graph of the parent function f(x) = x over the x-axis. This is because the y-values of the points on the graph of g are the negative of the y-values of the corresponding points on the graph of f.

The graph of function g is also vertically stretched by a factor of 3. This is because the distance between any two points on the graph of g is 3 times the distance between the corresponding points on the graph of f.

The graph of function g is also shifted down 1 unit. This is because the y-values of the points on the graph of g are 1 less than the y-values of the corresponding points on the graph of f.

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Consider the graph of function g below. A diagonal curve declines from (negative 3, 8), (negative 2, 5), (negative 1, 2), (0, negative 1), (1, negative 4), (2, negative 7), and (3, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit

reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit shift right 1 unit,

reflect over the x-axis, and then vertically stretch by a factor of 3 shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3 shift down 1 unit,

reflect over the x-axis, and then vertically stretch by a factor of 3 shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3

Answer: 3

Step-by-step explanation:

3rd, lands on a vowel.

Answer: The spinner lands on a vowel.

Step-by-step explanation:

Probability to land on purple section: 1/10

Probability to land on letter D: 1/10

Probability to land on vowel: 3/10 (A, E, I)

Probability to land on red section: 2/10

3/10 > 2/10 > 1/10

Answer:

The formula for the area of the triangle is:

\(\displaystyle A=24x^2\)

When x = 3, the area is 216 square centimeters.

When x = 2.4, the area is 138.24 square centimeters.

And when x = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8x and a base of 6x.

The area of a triangle is given by the formula:

\(\displaystyle A=\frac{1}{2}bh\)

So, by substitution:

\(\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2\)

When x = 3, the area will be:

\(\displaystyle A(3)=24(3)^2=216\text{ cm}^2\)

And when x = 2.4, the area will be:

\(A(2.4)=24(2.4)^2=138.24\text{ cm}^2\)

When x = 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

\(a^2+b^2=c^2\)

So:

\((40)^2+(30)^2=c^2\)

The hypotenuse will be:

\(c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}\)

Answer:

x = 32°

Step-by-step explanation:

The definition of tangent means that the angle formed by the line and the circle is a 90° angle. We can also see that the two segments connected to the center have equal angles because they are both radii of the circle. They form a triangle and the angle measurements are 61°, 61° and 58°. We have two angle measurements of the overall triangle, 58°, 90° (from the tangent), and x°.

The sum of the angles of any triangle is 180°. Therefore, we can form an equation to calculate the value of x.

58 + 90 + x = 180

x = 180 - 90 - 58

x = 32°

Answer:

x = 32°

Step-by-step explanation:

To find:-

Answer:-

As we know that angle made by tangent on the centre is a right angle . So here \(\angle\)OBC will be 90° ( as CB is tangent on the circle.) Again we know that the angles opposite to equal sides are equal . Therefore here OB and OA are radii of the circle which are equal. So we can say that;

\(\sf:\implies \red{ \angle OBA = \angle OAB = 61^o}\\\)

Again we know that the angle sum property of a triangle is 180° . Therefore in ∆OBA ,

\(\sf:\implies 61^o + 61^o + \angle AOB = 180^o \\\)

\(\sf:\implies 122^o + \angle AOB = 180^o \\\)

\(\sf:\implies \angle AOB = 180^o - 122^o \\\)

\(\sf:\implies \angle AOB = 58^o\\\)

Finally look into the ∆OBC ,

\(\sf:\implies \angle BOC + \angle OCB + \angle CBO = 180^o\\\)

\(\sf:\implies 58^o + 90^o + x = 180^o \\\)

\(\sf:\implies 148^o + x = 180^o \\\)

\(\sf:\implies x = 180^o - 148^o \\\)

\(\sf:\implies \red{ x = 32^o }\\\)

Hence the value of x is 32°.

Answer:

Step-by-step explanation:

Substitute and calculate:

Answer:

$40y - $3g

Step-by-step explanation:

it wouldn't be c because the 3 and 40 are on the wrong side. and it wouldn't be a because the y and g are on the wrong number. you should realise that the variables y and g need to go to the corresponding amount and $40 is how much she get by mowing lawns (y) and $3 is how much gasoline costs to take away from her total amount. so its now between b and d. it is d because you are subtracting 3 from 40 because that how much she spent and it takes away from her total.

Option D : $40y − $3g  is correct.

We have the following information about Alicia -

For every yard she mows, she earns $40

She spends part of this money on gasoline which costs $3

We have to find expression for the amount of money that Alicia earns in a day.

An equation of the form ax + by + c=0, where a, b are the coefficients of x and y and are non -zero and all a, b, and c are real in nature.

Let the amount of money she earns in a day = x

Number of yards she mows in a day = y

Money earned on mowing ' y ' yards in a day = $40 y

Number of gallons of gasoline she buys = g

Amount spent in gasoline in a day = $3 g

Total money earned  = Money earned - money spent on gasoline

x = $40y - $3g

Hence, Option D is correct

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No function f(r,θ) is given, we cannot evaluate the integral further.

To write ∬rfda as an iterated integral in polar coordinates for the given region rr, we need to determine the limits of integration for r and θ.

Let's first look at the region rr. From the given graph, we can see that the region is bounded by the circle with radius 3 centered at the origin. Therefore, we can express the region as:

r ≤ 3

To determine the limits for θ, we need to examine the region rr more closely. We can see that the region is symmetric about the x-axis, which means that the limits for θ are:

0 ≤ θ ≤ π

Now, we can write the iterated integral as:

∬rfda = ∫₀³ ∫₀ᴨ f(r,θ) r dθ dr

where f(r,θ) is the integrand function and r and θ are the limits of integration. Note that r is integrated first, followed by θ.

In this case, since no function f(r,θ) is given, we cannot evaluate the integral further.

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An equation is formed of two equal expressions. The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given literal equation z=(a/b)+(c/d) can be solved for D as,

z-(a/b) = (c/d)

(zb-a)/b = c/d

d = cb/(zb-a)

Hence, The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

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Answer:

The angle between the diagonal of the rectangle is \(\frac{\pi }{2}\).

Given:

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4), and d = (4, 1)

To find:

The objective is to find the angle between the diagonals.

Step 1 of 3

Consider the diagram attached.

Step 2 of3

The position vector of diagonal AC is-

=(3-1)î+(4-0)j=2î+4j

And the position vector of diagonal BD is-

=(4-0)î+(1-3)j=4î-2j

Step 3 of 3

cosθ=\(\frac{AC.BD}{|AC|.|BD|}\)

cosθ=\(\frac{(2i-4j)(4i-2j)}{\sqrt{2^2+4^2} \sqrt{4^2+(-2)^2\\} }\)

=\(\frac{8-8}{\sqrt{20}.\sqrt{20} }\)

=0

θ=\(cos^{-1}\)(0)

θ=\(\frac{\pi }{2}\)

Therefore the angle between the diagonal of the rectangle is \(\frac{\pi }{2}\)

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The angle between the diagonals of a rectangle is π/2

The vertices of the rectangle are

a = (1, 0), b = (0, 3), c = (3, 4),  d = (4, 1)

The diagonal position vector AC  

=(3-1)î+(4-0)j=2î+4j

And the diagonal position vector BD  

=(4-0)î+(1-3)j=4î-2j

cos Ф = (AC.BD) / (|AC| . |BD|)

cos Ф = (8-8) / (root20 -roo20)

= 0

Ф = π/2

Therefore the angle between the diagonals of the rectangle is π/2

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Answer:C

Step-by-step explanation:

288 divided by 4 equals 72

Option C is correct, y=72x is the equation which represents the number of times her heart beats per minutes.

A division is a process of splitting a specific amount into equal parts.

The equation that represents the relationship between the number of times Lupe's heart beats per minute and the time (in minutes) is:

y = 72x

where y is the number of times Lupe's heart beats per minute, and x is the time in minutes.

We can see this by dividing the total number of heart beats by the time in minutes:

y = (288 beats / 4 minutes) = 72 beats/minute

Hence, y=72x is the equation which represents the number of times her heart beats per minutes.

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Answer:

Step-by-step explanation:

You want to identify the expressions equivalent to 11x -4x +6x and 3(1 +9y).

We can identify the equivalent expressions by putting them all in their simplest form. This means using the distributive property to eliminate parentheses, and combining like terms.

The simplified version of the given expression is ...

  (11 -4 +6)x = 13x

The other expressions simplify to ...

  7x +6x = (7+6)x = 13x . . . equivalent

  7x -6x = (7 -6)x = 1x = x . . . not equivalent

  13 +x (already simplest) . . . not equivalent

  13x (already simplest) . . . equivalent

The simplified form of the given expression is ...

  3·1 +3·9y = 3 + 27y

The other expressions simplify to ...

  3 +1·3 +9y = 6 +9y . . . not equivalent

  3 +27y . . . equivalent

  3·1 +3·9y = 3 + 27y . . . equivalent

  3 +9y (already simplest) . . . not equivalent

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Answer: 1.48

Step-by-step explanation:

I divided 4.44 by 3 and got 1.48 simple math ...

Answer:

30 pages per hour

Step-by-step explanation:

6 pages per 1/5 hour

6 x 5 = 30

1/5= one whole would be five parts

The sample statistic 'S' is the point estimator of σ. So the correct answer is D: "σ".

In statistics, an estimator is used for the purpose of estimating a parameter that is not known. An estimator is defined as a function of the data in a sample. The sample mean and sample variance are common estimators, which which are used to estimate or guess the unknown population means and variance.

The 'S' is the sample statistic that is the point estimator of 'σ'; that is 'S' is an estimator of σ. Thus option D i.e. "σ" is the correct answer to this question.

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Answer:

m(<M) > m(<N)

Step-by-step explanation:

Answer:

m<M < m<N is right one.hope it helps

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

The midpoint of a segment divides the segment into equal halves

The other endpoint is 1- 5i

The coordinates are given as:

Point 1: 7 + i

Midpoint: 3 - 2i

Represent the other endpoint with x.

So, we have:

2 * Midpoint = Point 1 + x

This gives

\(2 * (3 - 2i) =7 + i + x\)

\(6 - 4i =7 + i + x\)

Collect like terms

\(x = 6 -7- 4i -i\)

Evaluate the like terms

\(x = 1- 5i\)

Hence, the other endpoint is 1- 5i

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interest= 840000-600000= 240000

P= 600000

R=?

t= 5 yrs

I = prt

240000 = 600000 × r × 5

r= 240000/600000×5

r = 0.08

interest rate = 0.08× 100 = 8%

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

A high correlation is insufficient to establish causation on its own.

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:

11.2

Step-by-step explanation:

multiply 1.6 by 7 since that's how many days there are in a week

Answer:

11.2

Step-by-step explanation:

you collect 1.6 packs of chile peppers a day there is 7 days in a week 1.6x7=11.2

hope it helps.

Answer:

I don't know

Step-by-step explanation:

Use the app and search it instead of waiting.

Approximately 4.174 grams of ammonium phosphate ((NH₄)₃PO₄) will be produced by the reaction of 2.8 grams of phosphoric acid (H₃PO₄).

The mole idea is a useful way to indicate how much of a substance there is. Any measurement can be divided into two components: the magnitude in numbers and the units in which the magnitude is expressed.

To determine the mass of ammonium phosphate produced by the reaction of 2.8g of phosphoric acid (H₃PO₄), we need to consider the balanced chemical equation and the molar masses of the compounds involved.

The balanced chemical equation for the reaction is as follows:

H₃PO₄ + 3NH₃ -> (NH₄)₃PO₄

From the balanced equation, we can see that one mole of phosphoric acid (H₃PO₄) reacts with three moles of ammonia (NH₃) to produce one mole of ammonium phosphate ((NH₄)₃PO₄).

Step 1: Calculate the molar mass of H₃PO₄:

H = 1.00794 g/mol (1 hydrogen atom)

P = 30.97376 g/mol (1 phosphorus atom)

O = 15.999 g/mol (4 oxygen atoms)

Molar mass of H3PO4 = (1.00794 * 3) + 30.97376 + (15.999 * 4) = 97.995 g/mol

Step 2: Determine the number of moles of H₃PO₄:

Number of moles = mass / molar mass

Number of moles = 2.8g / 97.995 g/mol ≈ 0.028 moles

Step 3: Use stoichiometry to find the number of moles of ammonium phosphate:

From the balanced equation, we know that the ratio of moles of H₃PO₄ to moles of (NH₄)₃PO₄ is 1:1.

Therefore, the number of moles of (NH₄)₃PO₄ produced is also approximately 0.028 moles.

Step 4: Calculate the mass of (NH₄)₃PO₄:

Molar mass of (NH₄)₃PO₄:

N = 14.0067 g/mol (3 nitrogen atoms)

H = 1.00794 g/mol (12 hydrogen atoms)

P = 30.97376 g/mol (1 phosphorus atom)

O = 15.999 g/mol (4 oxygen atoms)

Molar mass of (NH₄)₃PO₄ = (14.0067 * 3) + (1.00794 * 12) + 30.97376 + (15.999 * 4) = 149.086 g/mol

Mass of (NH₄)₃PO₄ = number of moles * molar mass

Mass of (NH₄)₃PO₄ = 0.028 moles * 149.086 g/mol ≈ 4.174 g

Therefore, approximately 4.174 grams of ammonium phosphate ((NH₄)₃PO₄) will be produced by the reaction of 2.8 grams of phosphoric acid (H₃PO₄).

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

Answer:

69 mph

Explanation:

The equation that represents this situation is:

We are required to determine Brian's average speed on the return drive.

To do this, we first find the value of x.

Using the value of x, we find the average speed on the return drive.

Therefore, the average speed on the return drive will be 69 mph.