what is this question 2x+30=6x-12

The probability that the customer purchases calluge on the second purchase, given that they purchased it on the first purchase, is:

P(C2|C1) = p

The customer's behavior is independent from purchase to purchase, and the probability of purchasing calluge remains constant, then we can use the concept of conditional probability to calculate the probability that the customer purchases calluge on the second purchase, given that they purchased it on the first purchase.

Let P(C1) be the probability that the customer purchased calluge on the first purchase, and let P(C2|C1) be the conditional probability that the customer purchases calluge on the second purchase, given that they purchased it on the first purchase.

If we assume that the probability of purchasing calluge remains constant and is denoted by p, then we have:

P(C1) = p

Since the customer has already purchased calluge on the first purchase, the probability of purchasing it again on the second purchase depends on whether the customer is more likely to purchase it again or switch to another product.

If we assume that the customer's behavior is independent from purchase to purchase, then the probability of purchasing calluge on the second purchase is also p.

If we assume that the probability of purchasing calluge remains constant and the customer's behavior is independent from purchase to purchase, then the probability that the customer purchases calluge on the second purchase, given that they purchased it on the first purchase, is equal to the probability that they purchased calluge on the first purchase, which is denoted by p.

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We cannot determine the probability that a customer who initially purchased Calluge will purchase Calluge on the second purchase without additional information.

The probability that a customer who initially purchased Calluge will purchase Calluge on the second purchase can be calculated using the concept of conditional probability. Let P(A) represent the probability of an event A occurring and P(B|A) represent the probability of an event B occurring given that event A has occurred.

Let us assume that P(C) represents the probability of a customer purchasing Calluge on the second purchase, given that they have already purchased Calluge on the first purchase. This can be written as P(C|C).

We can use Bayes' theorem to calculate P(C|C). Bayes' theorem states that:

P(C|C) = P(C and C)/P(C)

Here, P(C and C) represents the probability of a customer purchasing Calluge on both the first and second purchases, and P(C) represents the probability of a customer purchasing Calluge on the first purchase.

Since we are given that a customer initially purchased Calluge, we can assume that P(C) = 1 (i.e., the probability of purchasing Calluge on the first purchase is 1).

Now, we need to find the probability of a customer purchasing Calluge on both the first and second purchases, which can be written as P(C and C) or P(C)^2. However, we do not have any information about the probability of a customer purchasing Calluge on both the first and second purchases.

Therefore, we cannot determine the probability that a customer who initially purchased Calluge will purchase Calluge on the second purchase without additional information.

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one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

\(A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\\)

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

\(A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right]\)

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

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Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

Step-by-step explanation:

\( \sf{(x - 3)(x + 7)}\)

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒\( \sf{x(x + 7) - 3(x + 7)}\)

⇒\( \sf{ {x}^{2} + 7x - 3x - 21}\)

Collect like terms

⇒\( \sf{ {x}^{2} + 4x - 21}\)

Hope I helped!

Best regards!!

Answer:

\( \boxed{\boxed{\boxed{\red{{x}^{2} + 4x - 21}}}}\)

Step-by-step explanation:

\((x - 3)(x + 7) \\ x(x + 7) - 3(x + 7) \\ {x}^{2} + 7x - 3x - 21 \\ {x}^{2} + 4x - 21\)

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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24 different 4-digit numbers using all the digits in the number 4129.

The total number of different 4-digit numbers using all the digits in the number 4129, we can use the permutation formula, which is:

nPr = n! / (n - r)!

where n is the total number of items, and r is the number of items taken at a time.

In this case, we have 4 digits to choose from, and we need to choose all 4 of them. Therefore, n = 4 and r = 4.

So, the number of different 4-digit numbers using all the digits in the number 4129 is:

4P4 = 4! / (4 - 4)!

= 4! / 0!

= 24 / 1

= 24

Therefore, there are 24 different 4-digit numbers using all the digits in the number 4129

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters..

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The correct option is: c. 9/25. If we round out to the nearest integer, we may calculate that after 200 rolls, the probability of rolling 3 would be rolled roughly 71 times.

A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial.

The estimated likelihood of rolling a 3 can really be computed using the information given as follows:

for 20 rolls : 8/20 = 0.4

for 50 rolls: 18/50 = 0.36

for 100 rolls: 30/100 = 0.3

To obtain the most accurate approximation, we should compute the mean of these values:

(0.4 + 0.36+ 0.3) / 3 = 0.3533

= 0.36 (approx)

= 9/25

The best estimate for the probability of rolling a 3 is thus 9/25.

After 200 rolls, we can calculate the likelihood that a 3 would just be rolled as follows:

The chance of hitting a 3 multiplied by the amount of rolls equals the quantity of times a 3 would be rolled.

= 0.3533 x 200

= 70.66

If we round out to the nearest integer, we may calculate that after 200 rolls, the probability of rolling 3 would be rolled roughly 71 times.

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Answer:

\(2.46\times 10^5\)

Step-by-step explanation:

\(9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5\)

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Answer:

The answer is that there is 56.6 cubic inches of space in the cylinder that is not the sphere

Step-by-step explanation:

Answer:

The answer in decimal form is 33.6.

The answer in fraction form is \(33\frac{3}{5}\).

Step-by-step explanation:

To find 40% of 84, multiply 84 and 0.4.

84 × 0.4 = 33.6

The answer in decimal form is 33.6.

The answer in fraction form is \(33\frac{3}{5}\).

Hope this helps!

When comparing an angle with a measure of 120° to an angle with a measure of es002-1  radians, it is important to understand the concept of radians.

Radians are a unit of measure for angles that are based on the radius of a circle. Specifically, one radian is equal to the angle subtended by an arc of a circle that is equal in length to the radius of the circle.

In this case, we know that the angle with a measure of 120° is measured in degrees, while the angle with a measure of es002-1 radians is measured in radians. To compare these two angles, we need to convert one of them to the other unit of measure.

To convert 120° to radians, we can use the formula: radians = degrees x (π/180). Plugging in 120 for degrees, we get: radians = 120 x (π/180) ≈ 2.09 radians.

Now that we have both angles measured in radians, we can compare them. The angle with a measure of 2.09 radians is larger than an angle with a measure of es002-1 radians because 2.09 is a little bit more than pi,

which is approximately 3.14. Specifically, an angle of es002-1 radians is equivalent to 180°/π ≈ 57.3°, which is much smaller than the 120° angle we started with.

In summary, we can compare angles measured in degrees and radians by converting them to a common unit of measure.

In this case, we found that an angle with a measure of 120° is larger than an angle with a measure of es002-1 radians.

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The equation correctly uses the value of b to solve for a is tan (22.6)= \(\frac{a}{12}\)

We know that cos  (22.6) =\(\frac{b}{13}\) Rounding the value of b as asked in the problem gives b=12.

According to the right-triangle definition of cosine, b must be the neighboring side to the angle 22.6o and thus the triangle's hypothenuse must be 3.

Then, a is the opposite side of the angle 22.6º therefore using the definition of sine, sin(22.6)= \(\frac{a}{3}\)

Solving for a, we obtain

a=3sin(22.6) =3cos(22.6) tan(22.6)=btan(22.6)=12tan(22.6)

Hence conclusion can be made that tan(22.6)= \(\frac{a}{12}\)

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This question is incomplete. The complete question is:

Triangle ABC is a right triangle and cos(22.6o)=b/13. Solve for b and round to the nearest whole number. Which equation correctly uses the value of b to solve for a? tan(22.6o) = a/13 tan(22.6o) = 13/a tan(22.6o) = a/12tan(22.6o) =12/a

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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The Math.ceil() method in JavaScript can be used to obtain the smallest integer greater than or equal to a decimal number. By applying this method to the number 43.8, the result can be logged to the console, which will be 44.

The Math.ceil() method is a function provided by the Math object in JavaScript. It is used to round a number up to the nearest integer that is greater than or equal to the given decimal value. In this case, when the Math.ceil() method is applied to 43.8, it will return 44 as the smallest integer greater than or equal to 43.8. By logging this result to the console, the output will be displayed for further use or observation.

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The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

47

Step-by-step explanation:

x=9 y=2 5x+y= so you need to multiply x (9) by 5 9x5= 45 45+2=47

Answer:

probably 2.................

The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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Answer:

its B hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

To find

Solution

Correct option is C

To find the sum of the whole numbers from 1 to 610, we can use the formula for the sum of an arithmetic series. The formula is:

S = n/2 (a1 + an)

where S is the sum, n is the number of terms, a1 is the first term, and an is the last term.

In this case, n = 610, a1 = 1, and an = 610. Plugging these values into the formula, we get:

S = 610/2 (1 + 610)

S = 305 (611)

S = 186305

Therefore, the sum of the whole numbers from 1 to 610 is 186,305.

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Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Another important mathematical contribution made by Fibonacci (Leonardo of Pisa) is the introduction of the Hindu-Arabic numeral system and its adoption in Western mathematics.

During the 13th century, Fibonacci traveled extensively and encountered the numeral system used in India and the Arab world, which is based on the concept of place value. Recognizing its efficiency and advantages over the existing Roman numeral system, Fibonacci popularized the Hindu-Arabic numeral system in Europe through his influential book "Liber Abaci" (Book of Calculation) published in 1202.

The Hindu-Arabic numeral system, which includes the use of the digits 0-9 and the concept of positional notation, revolutionized arithmetic and made calculations much simpler and more efficient. It introduced the concept of using place value to represent numbers, allowing for complex calculations to be performed with ease. This numeral system formed the foundation of modern arithmetic and laid the groundwork for the development of algebra and other branches of mathematics.

Fibonacci's introduction and promotion of the Hindu-Arabic numeral system had a profound impact on mathematics, commerce, and scientific endeavors. It enabled advancements in fields such as astronomy, engineering, and finance, making complex calculations more accessible and accurate. Fibonacci's contribution played a crucial role in the development of mathematics and its practical applications, and it remains a significant part of our everyday numerical representation and calculation systems today.

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Answer:

31cm

Step-by-step explanation:

14 + 8 + 9 = 31

Make sure to add the cm on the end!

The perimeter of the triangle is 31cm.

The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.

In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.

In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.

For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.

In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.

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