Can a 3x3 matrix have infinite solutions?

The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is -16.5

The expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box can be calculated by multiplying the expected value of each draw (which is the mean of the numbers on the tickets) by the number of draws.

The mean of the numbers on the given tickets is ( (-9*2) + (-8*2) + (-5*2) + (-4) + (3) + (6*3) + (7) )/12 = (-18 - 16 - 10 - 4 + 3 + 18 +7)/12 = -1.5

So the expected value of the sample sum of the ticket labels in 11 independent random draws with replacement from the box is 11*-1.5 = -16.5.

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The equation of a line in the form y is y = 150 - 85x.

This equation can be used to determine the amount of money in the grocery account at any given week, x. To solve, we will use the information given in the question.

We know that the initial amount in the account is $150. This is the y-intercept of the line. Therefore, 150 = 150 - 85x. Solving this equation for x, we get x = 0. This means that at week 0 the account has a balance of $150.

Next, we know that money is withdrawn from the account every week. We can use this information to solve for the slope of the line. We know that every week $85 is withdrawn from the account, so the slope of the line is -85. Therefore, the equation of the line is y = 150 - 85x.

Using this equation, we can determine the amount in the account at any given week. For example, at week 5, y = 150 - 85(5) = $25. This means that the account has a balance of $25 at week 5.

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Geometric series should you use to find total amount of money after 30 days geometric series should you use to find total amount of money after 30 days

after 30 days the total is 0737418.23

Given that

A geometric series is a collection of terms in mathematics that have an unlimited number and a fixed ratio between each term. Because each succeeding term may be produced by doubling the previous term by half, for instance, the series

1/2+1/4+1/8+1/16+ ..........is geometric, because each successive term can be obtained by multiplying the previous term by 1/2.

The geometric series had an important role in the early development of calculus, is used throughout mathematics, and can serve as an introduction to frequently used mathematical tools such as the Taylor series, the complex Fourier series, and the matrix exponential.

Each term in a geometric series is the geometric mean of its two adjacent terms, as indicated by the name.

now, we need to find geometric series  should you use to find total amount of money after 30 days

geometric series = Σ[tex]\left \ {{30} \atop {n=1}} \right.[/tex]

= (1)[tex](2)^{1-1}[/tex] + (1)[tex](2)^{2-1}[/tex] + (1)[tex](2)^{3-1}[/tex] + (1)[tex](2)^{4-1}[/tex] + ......................+(1) [tex](2)^{29-1}[/tex] +(1)[tex](2)^{30-1}[/tex]

= 10737418.23

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Answer:

A and then the 2nd one is 10737418.23

Step-by-step explanation:

yw

Answer:

AD=RC,        GIVEN

∠A≅∠R      GIVEN

∠AMD=∠RMC    VERtical angles

△MAD≅△MRC   ASA/SAA

Step-by-step explanation:

The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image.

In mathematics, symmetry is the quality of an object being split into two identical, mirrored parts. What does axis of symmetry mean? The term "axis of symmetry" refers to a hypothetical line that can fold or divide an item into two identical mirror halves. If two halves can fit together, then anything is symmetrical. Drawing a mirror line in the center and making sure both halves are the same will allow you to determine the shape's symmetry. To put it another way, symmetry is when two things are facing one another or when two things have mating pieces that revolve about an axis.

The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image. We obtain the translational and reflective symmetry.

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Answer:

The lake decreases by a factor of 3.038 in 10 years (to 3.038 km^2).

The lake decreases by a factor of 0.00167 each month.

Step-by-step explanation:

Use the given relationship A(t)=11x(.98)^t and find the value of A for t=10 years.

A(10) = 11*(0.98)^10

A(10) = 3.621 km^2

The lake has decreased by a factor of (11km^2/3.621km^2) or 3.038.

==

The lake decreases each month by (0.02/12) or 0.00167 each month.

Answer:

To solve this problem, we can use algebra. Let x be the number of student tickets sold and y be the number of adult tickets sold. We know that:

x + y = 500 (the total number of tickets sold)

5x + 10y = 3000 (the total revenue from ticket sales)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can use the first equation to solve for y in terms of x:

y = 500 - x

Now we can substitute this expression for y into the second equation:

5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = -2000

x = 400

So, the number of student tickets sold is 400. The answer is d) 400

Total 400 students attended the play.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that student tickets cost $5 each and adult tickets cost $10 each. The total ticket sales were $3,000 for 500 tickets.

We can write the system of equations as -

5x + 10y = 3000

x + y = 500

Now -

x = 500 - y

So -

5(500 - y) + 10y = 3000

2500 - 5y + 10y = 3000

5y = 500

y = 100

x = 400

Therefore, total 400 students attended the play.

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The next 3 terms of the given geometric sequence are:

... 1, -1/3, 1/9

A geometric sequence is a sequence where to get the next term, we need to multiply the previous term by a constant number.

Such that the general recursive formula is:

Aₙ = k*Aₙ₋₁

By using the two first terms:

81 and -27, we can find the value of k.

-27 = k*81

-27/81 = k

-1/3 = k

Now, to get the next 3 terms we can use the recursive formula:

A₅ = -3*(-1/3) = 1

A₆ = (-1/3)*1 = -1/3

A₇ = (-1/3)*(-1/3) = 1/9

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Answer:

y - 8 = 5(x -4)

Step-by-step explanation:

(4,8) 4 is the x value and 8 is the y value.

You subtract 8 from y and subtract 4 from x.  The slope is after the equal sign.

Answer:

Step-by-step explanation:

The point slope form is y- y₁ = m(x - x₁)

m is the slope or 5 here.

It is given that (x₁ , y₁) = (4, 8)

Just put the values there.

y - 8 = 5(x - 4)

5x - 40 - y + 8 = 0

5x - y - 32 = 0

Pls mark as brainliest. I really need for no apparent reason. Cheers

Answer:

Let's represent the amount of shells Chen bought as x grams. Then the amount of eggs he bought is 320 - x grams.

We can use the price per gram to write two equations:

0.96x + 1.06(320 - x) = 0.9975 * 320

Expanding and simplifying the equation:

0.96x + 342.4 - 1.06x = 319.2

-0.1x = -23.2

x = 232

Answer:

Chen bought 232 grams of shells and 320 - 232 = 88 grams of eggs.

The length of AD is 70.26.

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

ΔBCD

Tan 33 = BC/BD

0.65 = 37/BD

BD = 37/0.65

BD = 56.92

Now,

ΔABD

Sin 54 = BD/AD

0.81 = 56.92/AD

AD = 56.91/0.81

AD = 70.26

Thus,

The length of AD is 70.26.

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AD = 2.6

DB = 4 and DC = 6 , We need to find AD using Euclid's theorem for the right triangle.

Euclid's theorem is a fundamental number theory theorem that asserts that for every two numbers a and b, where b does not equal 0, there exist unique integers q and r such that a = bq + r, where 0 r |b|. To put it another way, a may be divided by b with a remaining of r. Euclid's theorem is a subset of the division method that asserts that for every two integers a and b with b greater than zero, there exist unique numbers q and r such that a = bq + r, where 0 r |b|.

Using Euclid's theorem,

∴ DB² = AD * DC

∴ 4² = AD * 6

∴ 6 AD = 16

∴ AD = 16/6 = 8/3 ≈ 2.67

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There are 8 different colorings that can be made.

Color each of the six faces of a cube with either blue or red. note that two colorings are regarded the same if the cube looks identical after some rotation.

The number of colorings can be calculated by using the equation 2^6 = 64. This is because each of the six faces of the cube can be colored either blue or red, giving two options for each face.

As there are six faces, the total number of colorings is 2^6 = 64. However, some of these colorings are the same after a rotation, so the total number of distinct colorings is 8.

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Suppose X and Y are two random variables that have the same distribution. Does

P[X≤ t∣ Y=a]

be necessarily equal to

P[Y≤ t∣ X=a]?

Note that if X and Y are bivariate normal with correlation ρ and each is marginally N(μ,σ2), then it is necessarily true because both conditional distributions would be

N(μ+ρ(a−μ),(1−ρ2)σ2).

A simple counter example:

P(X=1,Y=2)=13P(X=2,Y=3)=13P(X=3,Y=1)=13

Then P(X≤1|Y=2)=1, but P(Y≤1|X=2)=0.

Because it is interesting to look at the general pattern.

The wanted property is a kind of symmetry,

so we should look for some asymmetrical joint distribution for X,Y).

Si if (X,Y) has a permutable distribution in the sense that (X,Y) and (Y,X) have the same distribution,

so that for the joint cumulative we have F(x ,y)=F(y ,x) for all (x ,y), then the sought-after property will hold.

Let us use copulas. Let F be the joint CDF (cumulative distribution function) and

C(u ,v)=P(F(x)≤ u ,F(Y)≤v)

By the Fréchet– Hoefdding copula bounds (see linked wiki article above) we have

W(u ,v)≤C(u ,v)≤M(u ,v)

where W(u ,v)=max(u+v−1,0) and M(u ,v)=min(u ,v). Both W,M are copulas. W describes the anti-monotonic case X=U,Y…

Not necessarily true. Let X and Y be discrete random variables that take the values in {1, 2, 3} each with probability 13;

i.e. they have a discrete uniform distribution. Consider the joint probability mass function represented by the matrix below where the element in row i and column j is P[X=i , Y=j]:

160⎡⎣⎢331461221154⎤⎦⎥

Note that all rows and columns add up to 13 and therefore the marginal distributions are the discrete uniform as stated. Now calculate the conditional probability

P[X≤2∣Y=1]=360+360360+360+1460=310.

On the other hand,

P[Y≤2∣X=1]=360+660360+660+1160=920.

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The equation of the tangent line at x = 4 is:

y = 179*x  - 490

(your teacher or the person who wrote this problem made a mistake somewhere, as none of the options is near correct)

We have:

f(x) = 4x³ - 2x² + 3x - 10

When x = 4 we have:

f(4) = 4*4³ - 2*4² + 3*4 - 10 = 226

So we want a line tangent to the curve at the point (4, 226)

To find the slope of that line, we need to evaluate the derivative of f(x) in x = 4.

The derivative is:

f'(x) = 3*4x² - 2*2x + 3

f'(x) = 12x² - 4x + 3

Then the slope is:

f'(4) = 12*4² - 4*4 + 3 = 179

Then the tangent line is something like:

y = 179*x + b

To find the value of b, we replace the values of the point (4, 226)

226 = 179*4 + b

226 - 179*4 = b = -490

The line is:

y = 179*x  - 490

Notice that this is not in the options, meaning that the problem (or the options) are written incorrectly.

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Using the provided condition and values, This is solved using the concept of word problem, The answer is Polly gets £30, Andy gets £60 and Phoebe gets £180.

A word problem in mathematics is a problem that is written in natural language (i.e., words) rather than in mathematical notation. It presents a real-world scenario that requires the use of mathematical concepts and skills to solve. Word problems often involve finding unknown quantities based on given information, and they can be challenging because they require students to understand the problem and translate it into mathematical equations or formulas. They are often used in primary and secondary education to help students apply their math skills to real-world situations and develop critical thinking skills.

A mathematical expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a mathematical statement or equation. Mathematical expressions can be evaluated to find a numerical value. They can also be simplified by applying the order of operations (PEMDAS) to combine like terms or to remove unnecessary parentheses. Additionally, mathematical expressions can also be used to represent the relationship between different variables.

Let x be the amount that Polly gets.

Andy would get 2x and Phoebe would get 3(2x) = 6x

So the total amount would be x + 2x + 6x = 9x

Therefore, x + 2x + 6x = £270

9x = £270

x = £30

So Polly gets £30, Andy gets £60 and Phoebe gets £180.

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The correct option is option a) Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes.

A confidence interval is a range of values, derived from a sample of data, that is used to estimate an unknown population parameter. The interval has an associated confidence level, such as 90%, 95%, or 99%, which indicates the level of confidence that the interval contains the true population parameter.

The most commonly used method to calculate a confidence interval is the method of maximum likelihood estimation. The wider the interval, the less certain the estimate, and the narrower the interval, the more certain the estimate.

It is plausible that the true mean number of times for all mice to complete the maze may be less than 7 minutes, as the interval provided by the researcher (2.9 minutes to 6.83 minutes) does not include 7 minutes as an upper bound.

A 95% confidence interval indicates that if the study were to be repeated multiple times, 95% of the intervals created would contain the true mean, so there is a 5% chance that the true mean falls outside of the interval provided.

Therefore, The correct option is option a) Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes.

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Answer:Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below 7 minutes

Step-by-step explanation:

i took the quiz

A. The contour of the orbital would extend further out along the x and y axes and the mℓ value would be the same.

The dx2−y2 orbital in the n=5 shell will have a higher principal quantum number (n=5) than the dx2−y2 orbital in the n=3 subshell (n=3). This means that the contour of the orbital in the n=5 shell will extend further along the x and y axes, as the orbital size increases with increasing n.

However, the mℓ value will remain the same, as the angular momentum quantum number (ℓ) remains constant at two and mℓ can only take values between -ℓ and +ℓ.

The value of ℓ will not increase by two, as stated in option B, and the radial probability function will not include two more nodes, as stated in option C. Furthermore, the orientation of the orbital will not be rotated 45∘ along the xy plane, as stated in option D.

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The expression of $2525 US in Argentine peso is 5,788,660 peso, calculated using the conversion rate of $0.23364 US to 1 Argentine peso.

2525 US x 0.23364 Argentine peso = 5,888.85 Argentine peso

Rounded to the nearest peso = 5,788,660 Argentine peso

The conversion rate of US Dollars to Argentine Peso is $0.23364 US per 1 Argentine peso. This means that for every 1 Argentine peso, you would need to spend $0.23364 US. To calculate the equivalent amount of Argentine peso for $2525 US, we need to multiply $2525 US by 0.23364 Argentine peso. This gives us a total of 5,888.85 Argentine peso. However, when making monetary calculations, it is important to round the result to the nearest peso, so the equivalent of $2525 US in Argentine peso is 5,788,660 peso. This means that for every $2525 US, you can purchase 5,788,660 peso in Argentine currency.

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The volumes of the prisms are 12 cm³, 135 cm³ and 1200 cm³

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

Given are prisms, We need to find their volumes,

Volume of a prism = 1/2 × area of the base × height

1) Area of the base = 1/2 × 3 × 4 = 6 cm²

Height = 4 cm

Volume = 1/2 × 4 × 6 = 12 cm³

2) Area of the base = 1/2 × 5 × 12 = 30 cm²

Height = 9 cm

Volume = 1/2 × 9 × 30 = 135 cm³

3) Area of the base = 1/2 × 15 × 16 = 120 cm²

Height = 20 cm

Volume = 1/2 × 20 × 120 = 1200 cm³

Hence, the volumes are 12 cm³, 135 cm³ and 1200 cm³

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The significance of standard error and 2 different sets of data with different sample sizes that have the same Mean is explained below.

The term mean in math is known as the process of adding all numbers in the data set and then dividing by the number of values in the set.

Here we have know that the significance of standard error and 2 different sets of data with different sample sizes that have the same Mean in terms of precision.

And then it is defined as standard error is a measure of precision.

Where on the other hand it defines a way to better understand data and it also helps to understand how far the data is spread throughout the graph.

As for example while we take his first set had a sample size of two then while his second set had a sample size of 10.

Hence the first sample set had more precision, or a higher standard error.

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If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,

x + x + y = 4 × 4

2x + y = 16

2x + y = 2(5) + 6

Then the dimension of the triangle will be 5, 5, and 6.

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The number that represents an area receiving several weeks (to months) of constant daylight during their summer is 10.

The number 10 is typically found at latitudes above the Arctic Circle (about 66.5 degrees North) during the summer solstice, the longest day of the year.

During the summer solstice, the tilt of the Earth's axis is such that the North Pole is tilted towards the sun, providing more direct sunlight to areas within the Arctic Circle. This results in several weeks to months of constant daylight, known as the "midnight sun."

On the other hand, areas south of the Antarctic Circle, which is located at about 66.5 degrees South latitude, experience "polar night" or 24-hour darkness during the winter solstice.

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The centimeter equivalent of Sadie's height is 142.875 cm.

(63.5×2.25) cm.

= 142.875 cm.

The sum of the angles equals 540

There are 3 angles that measure (x - 6) and 2 angles that measure (x)

We should know that the question address a pentagon

3(x - 6) + 2(x) = 540

Simplify the equation

3x - 18 + 2x = 540

Collecting the like terms to have

5x - 18 = 540

5x = 598

Making x the subject of the relation we have

x = 120⁰

Bu substitution, put x in the value x-6 to have the value of the angle

x - 6   = 120 - 6   = 114

Conclusively,  the value of x  = 114

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Answer:

what do yuo mean by adding and subtracting mixed fractions

Answer:  the maximum number of zeros that the polynomial function

f(x)= 4x^9+5x^8+4x^6+9x+1  is 9

Step-by-step explanation:

Firstly, it is important to rearrange the function in decreasing order. The function will now be f (x) = 4x^9+5x^8+4x^6+9x+1

Secondly, for finding the zeros, it is necessary to find the degree of the function. The maximum number of zeroes in a polynomial is the degree of the function. The degree of a function is the highest value of exponents in the function. Here, in this function, the degree is 9.

Lastly, the degree of the function is the number of zeroes. Since the degree is 9, the number of zeroes possible is also 9.

Answer: $26.094 an hour

Step-by-step explanation:

First, add up the total hours:

10 + 3 + 15 + 4 = 32

Now, add up the total amount charged:

340 + 495 = 835

Now, divide the amount charged by the number of hours:

835 / 32 = *26.094

* or 26.09375 if it needs to be exact.