What is the value of x?

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

If a rectangle door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters, the perimeter of the door in the scale drawing is 70 centimeters.

To find the perimeter of the door in the scale drawing, we first need to determine the dimensions of the door in the scale drawing. To do this, we need to multiply the actual dimensions of the door by the scale factor of 3.5.

The height of the door in the scale drawing would be 7 cm x 3.5 = 24.5 cm, and the width would be 3 cm x 3.5 = 10.5 cm.

The perimeter of the door in the scale drawing can be calculated by adding up the lengths of all four sides. The two vertical sides have a length of 24.5 cm, and the two horizontal sides have a length of 10.5 cm. Therefore, the perimeter of the door in the scale drawing is:

P = 2(24.5 cm) + 2(10.5 cm) = 49 cm + 21 cm = 70 cm

Note that the scale drawing is a proportional representation of the actual door, where all corresponding dimensions are multiplied by the same factor of 3.5.

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Answer:

D

Step-by-step explanation:

107, y = 25Step-by-step explanation:z and 73 are same- side interior angles and are supplementary, sum to 180°z + 73 = 180 ( subtract 73 from both sides )z = 107z and (3y + 32) are vertical angles and are congruent, then3y + 32 = 107 ( subtract 32 from both sides )3y = 75 ( divide both sides by 3 )y = 25

The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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The value of m∠Q as shown in the right-angled triangle below is 62.59°.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

To calculate the value of m∠Q, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.

To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.

The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.

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Answer:

\(Yes\)

Step-by-step explanation:

\(We\ know\ that,\\For\ two\ equations\ of\ the\ form:\\\left \{ {a_1x+b_1y+c1=0} \atop {a_2x+b_2y+c2=0}} \right.\\to\ be\ parallel\ or\ have\ no\ solutions,\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}\\So,\\Let's\ identify\ the\ coefficients\ of\ the\ terms\ in\ each\ equation:\\a_1=-3, a_2=-3 \\b_1=1, b_2=1 \\c_1=1, c_2=4 \\Hence,\\Let's\ now\ check\ the\ ratio\ of\ the\ corresponding\ coefficients:\\\frac{a_1}{a_2}=\frac{-3}{-3}=1\\\frac{b_1}{b_2}=\frac{1}{1}=1\\\)

\(\frac{c_1}{c_2}= \frac{1}{4} \\We\ hence,\ deduce\ that :\\\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\Hence,\\The\ two\ lines\ are\ parallel.\)

Answer:

A)  y= -x+2

B) ( 2, 1)

Answer:

D, C

Step-by-step explanation:

1) y= -x+2

2) (2,1)

Shawntell ran a total of 4,400,000 feet or 1,466,666.67 yards in 666 days of training for the relay race. To convert 444,000 feet to yards, we need to divide by 3 again since 1 yard is equal to 3 feet. So 1,332,000 feet ÷ 3 feet/yard + 148,000 yards = 1,466,666.67 yards

To convert 2,000 feet to yards, we need to divide by 3 since 1 yard is equal to 3 feet. So, 2,000 feet is equal to 666.67 yards.

To find out how many yards Shawntell ran in total, we can multiply 2,000 feet by 666 days, which gives us:

2,000 feet/day x 666 days = 1,332,000 feet

To convert 1,332,000 feet to yards, we need to divide by 3 again since 1 yard is equal to 3 feet. So, 1,332,000 feet is equal to 444,000 yards.

However, we need to remember that Shawntell ran 2,000 feet per day, not per yard. So, we need to divide 444,000 yards by 2,000 to find out how many days Shawntell trained for:

444,000 yards ÷ 2,000 feet/day = 222 days

This means that Shawntell ran a total of 2,000 feet x 222 days = 444,000 feet.

To convert 444,000 feet to yards, we need to divide by 3 again since 1 yard is equal to 3 feet. So, Shawntell ran a total of:

444,000 feet ÷ 3 feet/yard = 148,000 yards

Adding this to the previous calculation, we get:

1,332,000 feet ÷ 3 feet/yard + 148,000 yards = 1,466,666.67 yards

Therefore, Shawntell ran a total of 1,466,666.67 yards in 666 days of training for the relay race.

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Thus, the value of the unknown number for the given word problem is found as :x = 6.5.

A word problem is an exercise in mathematics that takes the form of such a hypothetical query and requires the solution of equations and mathematical analysis.

Using the "GRASS" method to solve word problems is a solid strategy. Given, Required, Analytic, Solution, and Statement is also known as GRASS. A word issue can be simplified using GRASS, making it simpler to solve.

Given word problems:

Twice the difference of a number and 4 is 5

Let the unknown number be 'x'.

Now,

The difference of the number and 4 : x - 4

Twice the result : 2(x - 4)

The outcome equals the  5.

2(x - 4) = 5  (Requires equation)

Solve the expression to find the number:

2(x - 4) = 5

2x - 8 = 5

2x = 5 + 8

2x = 13

x = 13/2

x = 6.5

Thus, the value of the unknown number for the given word problem is found as :x = 6.5.

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complete question:

Twice the difference of a number and 4  is 5. Find the unknown number.

Answer:

it is 35

Step-by-step explanation:

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

Here, we are given three equations as follows, let us solve them one by one-

a. [ [3] + [4] 7 ]

Here [z] = remainder when z is divided by 8

Thus, [4] = 4

⇒ [ [3] + 4*7 ]

= [ 3 + 28 ]

= [ 31 ]

= 7

b.  [ [2] . ([2] + [7]) 2 ]

=  [ 2 . (2 + 7) 2 ]

= [ 2*9*2 ]

= [ 36 ]

= 4

c. ([6] + [5]). ([3] + [7])

= (6 + 5). (3 + 7)

= 11*10

= 110

The answers to the given arithmetic problems are- (a) [3] + [4] 7 ] = 7, (b) [2] . ([2] + [7]) 2 ]] = 4, and (c) ([6] + [5]). ([3] + [7]) = 110.

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Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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Answer:

Down

Step-by-step explanation:

The negative before the x^2 makes it Down.

Answer:

3 x ( 3 − x ) 3x(3-x) 3x(3−x) Expand by distributing terms. Simplify 3 x × 3 3x\times 3 3x×3 to 9 x 9x 9x. Use Product Rule: x a x b = x a + b {x}^{a}{x}^{b}={x}^{a+b} xa​xb​=xa+b​.

Step-by-step explanation:

hope this help's

Answer:

Answer:

y=x-8

Step-by-step explanation:

The slope intercept equation is y=mx+b

First, we can find the slope(m) of this line y2-y1/x2-x1

So: 1-(-4)/(9-4) which equals 5/5 which equals 1.

equation: y=1x+b

Now, we need to find the y-intercept (b) so we can plug in one of the given points into the equation. I am going to use the point (9,1):

1=1(9)+b

1=9+b

-8=b

so the y intercept is -8

therefore our final equation is y=x-8

Answer:

find the areas of each triangle with the formula

1/2bh which is basically 1/2 multiplied by the base and height of the triangle

since there's two triangles solve the equation by dividing each triangle

The equation of the tangent line to the curve x = 7sin(t), y = t² + t at the point (0, 0) is y = (1/7)x. The slope of the tangent line at (0, 0) is 1/7.

To find the equation of the tangent line, we need to find the derivative of y with respect to x and evaluate it at the point (0,0), which corresponds to t=0. First, we need to eliminate the parameter t by solving the x equation for t in terms of x

x = 7 sin t => t = arcsin(x/7)

Substituting this expression for t into the y equation gives

y = [arcsin(x/7)]² + arcsin(x/7)

To find the derivative of y with respect to x, we use the chain rule and the derivative of arcsin(x/7) which is 1/√(49-x²):

dy/dx = [2arcsin(x/7) + 1] * (1/√(49-x²)) * (1/7)

At the point (0,0), we have x=0, and thus

dy/dx = [2arcsin(0/7) + 1] * (1/√(49-0²)) * (1/7) = 1/7

So the slope of the tangent line at (0,0) is 1/7.

Finally, we use the point-slope form of a line to write the equation of the tangent line

y - 0 = (1/7)(x - 0)

Simplifying

y = (1/7)x

Therefore, the equation of the tangent line to the curve x = 7 sin t, y = t² + t at the point (0,0) is y = (1/7)x.

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Answer: t ≈ 2,403,603

Step-by-step explanation:

z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)

σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)

E = the desired level of precision (in this case, 5% or 0.05)

Substituting the given values, we get:

σ = sqrt(600) = 24.49

t = (1.96 * 24.49 / 0.05)^2

Answer:

10

Step-by-step explanation:

5+5=10

10+10=20

20-10=10

please mark me as brainliest!!<3

Answer:

it is 10

5+5=10

10+10=20

20-10=10

Answer:

\( \boxed {\frac{2}{3}} \)

Step-by-step explanation:

The two rectangles are similar and the scale factor is \( \boxed {\frac{2}{3}} \)

The fractional equivalent of the repeating decimal 0.2 is 2/9

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

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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Answer:

11.

Step-by-step explanation:

Lower quartile = (12 + 8) /2 = 10

Upper quatrile  = (20+22)/2 = 21

Interquartile range = 21-10 = 11,

The sum of the number of operations needed to LU-decompose a general n x n matrix, including multiplications, divisions, additions, and subtractions, is given by:

(C) \(\frac{2}{3 }n^3 + \frac{n^2}{2 }- \frac{7}{6n}\)

Lower-upper (LU) decomposition, sometimes referred to as matrix factorization or lower-upper decomposition, is a technique used in linear algebra to break down a square method into the product of a lower and an upper triangular matrix. Numerous techniques, including Gaussian elimination, Crout's algorithm, Doolittle's algorithm, and Cholesky's decomposition, can be used to perform LU decomposition. It is used to solve the system of equations.

The sum of the number of operations needed to LU-decompose a general n x n matrix, including multiplications, divisions, additions, and subtractions, is given by:
(C) \(\frac{2}{3 }n^3 + \frac{n^2}{2 }- \frac{7}{6n}\)

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The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

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The 40th percentile for X is approximately  67.98. To find the 40th percentile for X, we need to use a standard normal distribution table or calculator.

We first need to standardize the random variable X by subtracting the mean and dividing by the standard deviation:

z = (X - mean) / standard deviation
z = (X - 70) / 8

We can then find the z-score corresponding to the 40th percentile, which is -0.253:

z = invNorm(0.4)
z = -0.253

Using this z-score and the formula for standardizing a random variable, we can solve for X:

z = (X - 70) / 8
-0.253 = (X - 70) / 8
-2.024 = X - 70
X = 67.976

Therefore, the 40th percentile for X is approximately 67.98.

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Answer:

435 cupcakes baked in one week if that’s what your asking.

Answer:

435 cupcakes baked in each week.

I'm not sure if this is right but uh yes

Step-by-step explanation: