45a^3b^4+36a^2b^5 ÷ 9a^2b^4​

Chebyshev's inequality produces an approximate probability because it provides an upper bound on the probability of deviation from the mean based on the standard deviation, without relying on specific distributional assumptions.

Chebyshev's inequality is a mathematical inequality that provides an upper bound on the probability that a random variable deviates from its mean by a certain amount. It states that for any random variable with a finite mean and variance, the probability that the random variable deviates from its mean by more than a certain number of standard deviations is bounded by a specific value.

The inequality is given by:

P(|X - μ| ≥ kσ) ≤ \(1/k^2\)

where X is the random variable, μ is its mean, σ is its standard deviation, and k is a positive constant.

Chebyshev's inequality is considered an approximate probability because it provides a conservative bound on the probability of deviation. It guarantees that the probability of a deviation beyond k standard deviations is no more than 1/k^2. However, it does not provide the exact probability of such deviations.

The approximation arises because Chebyshev's inequality applies to any distribution with a finite mean and variance, regardless of its specific shape. It does not rely on any assumptions about the underlying distribution, making it a very general result. However, this generality comes at the cost of accuracy. The inequality does not take into account the specific characteristics or shape of the distribution, so it may be a loose bound in some cases.

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Answer:

As someone who used to fail math and now has straight Cs (not the best but nti is really hard). It really helped me to talk to others about issues I had and ask questions it may not seem like a lot but it really helped me.

(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.

(c) To find the time it takes for the population to double, we can use the formula:

2P(0) = P(0)e^(kt)

where P(0) is the initial population size. Solving for t, we get:

t = ln(2)/k

(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.

(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]

(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]

(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]

(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]

Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.

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Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

The direction of vector D is perpendicular to vector A, and it makes an angle of 90 degrees with vector A.

We are given that:

vector A + vector B = vector C

vector A - vector B = vector D

To find the direction of vector C,

we can use the fact that the tangent of the angle between vector A and vector C is equal to the ratio of their magnitudes.

That is:

tan(theta) = |vector C| / |vector A|

where theta is the angle between vector A and vector C.

Similarly, to find the direction of vector D,

we can use the fact that the tangent of the angle between vector A and vector D is equal to the ratio of their magnitudes.

That is:

tan(phi) = |vector D| / |vector A|

where phi is the angle between vector A and vector D.

We want to find the angle between vector A and vector D, which is equal to the supplement of the angle between vector A and vector C.

That is:

theta + phi = 180 degrees

Rearranging, we get:

phi = 180 degrees - theta

Substituting the equations for theta and phi, we get:

tan(180 degrees - phi) = |vector D| / |vector A| = tan(phi)

Simplifying, we get:

tan(180 degrees - phi) = tan(phi)

Using the identity tan(180 degrees - theta) = -tan(theta), we can rewrite this as:

-tan(phi) = tan(phi)

Solving for phi, we get:

2*phi = 180 degrees

phi = 90 degrees

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Complete question may be:

If, vector A + vector B = vector Cvector A - vector B = vector D, then find the direction of vector D is perpendicular to vector A?

Answer: D

Step-by-step explanation:

Answer:p is r

Step-by-step explanation:

Answer:

m<2 is 17 degrees

Step-by-step explanation:

We can see that the angle at the vertex E was bisected to give two different but equal angles

Thus, we have it that;

2x + 7 = 4x-3

4x-2x = 7+ 3

2x = 10

x = 10/2

x = 5

so m<2 = 4(5) -3 = 20-3 = 17 degrees

Answer:

x = - 1, y = 2, z = 1

Step-by-step explanation:

Given the 3 equations

2x - y + 3z = - 1 → (1)

x + 2y - 4z = - 1 → (2)

y - 2z = 0 → (3)

Add (1) and (3) term by term

2x + z = - 1 → (4)

Multiply (1) by 2

4x - 2y + 6z = - 2 → (5)

Add (2) and (5) term by term

5x + 2z = - 3 → (6)

Multiply (4) by - 2

- 4x - 2z = 2 → (7)

Add (6) and (7) term by term

x = - 1

Substitute x = - 1 into (4)

- 2 + z = - 1 ( add 2 to both sides )

z = 1

Substitute x = - 1, z = 1 into (2)

- 1 + 2y - 4 = - 1

- 5 + 2y = - 1 ( add 5 to both sides )

2y = 4 ( divide both sides by 2 )

y = 2

solution is (x, y, z ) = (- 1, 2, 1 )

Answer:

4.8%

Step-by-step explanation:

Answer:4.8

Step-by-step explanation:

Trust

Answer:

\(y = 3x + 12\)

Step-by-step explanation:

The rate of change is represented as the slope.

The problem is asking for a slope that is equal to 3.

y=6x-3 is incorrect, the equation is simplified and the slope is 6.

3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.

y=3x+12 is correct, the equation is simplified and it's showing the correct slope.

Answer:

y+1

Step-by-step explanation:

4y-3y+6-5

Answer:

two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

(instead of translations/rotations we could write transformations, but there are transformations that also change the size of the figure, so I think that writing translations/rotations is more precise)

Step-by-step explanation:

Two figures are congruent if they have the same shape and size.

So for example, if we have one triangle, and we reflect that triangle along some line, those bot images will have the same shape and size (but maybe different orientations) so the triangles are still congruent.

Also, we could translate the image, or simply rotate it along some point, and the resulting image will be congruent to the initial image.

Then two polygons are congruent if and only if there exists a composition of translation/rotations that maps one polygon to the other polygon.

The composition that maps one polygon to the other polygon to make both congruent is called; Similarity transformation.

Now, we are told that there has to be a composition that will map one polygon to another one. This means that the two polygons must have the same shape after transformation.

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The unit price in dollars per orange is $ 4. 2

A unit price is the price for a given commodity or service that includes all extra costs attached to the item.

It is described as the product's average price.

It is determined by dividing the product's total sales revenue by the total units sold for the product.

It is known as the price per unit of the product.

From the information given, we have that;

$3.84 for a bag of 16 oranges

The unit price;

= 16/3. 84

Divide the values

= $4. 166

=$ 4. 2

Hence, the value is $ 4. 2

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A relation R on Z is an equivalence relation if and only if it is reflexive, symmetric, and transitive. Specifically, in this case, xRy if and only if x^2+y^2 is even.

Reflexive: for any x in Z, x^2+x^2 is even, thus xRx. So, R is reflexive.

Symmetric: for any x,y in Z, if xRy, then x^2+y^2 is even, which implies y^2+x^2 is even, thus yRx. So, R is symmetric.

Transitive: for any x,y,z in Z, if xRy and yRz, then x^2+y^2 and y^2+z^2 are both even, thus x^2+z^2 is even, thus xRz. So, R is transitive.

Therefore, R is an equivalence relation.

To describe the equivalence classes, we need to find all the integers that are related to a given integer x under the relation R.

Let [x] denote the equivalence class of x.

For any integer x, we can observe that xR0 if and only if x^2 is even, which occurs when x is even.

Therefore, every even integer is related to 0 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any even integer x.

Similarly, for any odd integer x, we can observe that xR1 if and only if x^2 is odd, which occurs when x is odd. Therefore, every odd integer is related to 1 under R, and we have:[x] = {y in Z: xRy} = {x + 2k: k in Z}, for any odd integer x.

In summary, the equivalence classes of R are of the form {x + 2k: k in Z}, where x is an integer and the parity of x determines whether the class contains all even or odd integers.

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Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

Answer:

Note. All numbers are rounded to the nearest tenth

1

2.

3.

4.

5.

6.

The length x of a side of the small inner square can be determined using the properties of similar triangles.

To find the length x, we can set up a proportion between the small inner square and the larger outer square.

Let's denote the side length of the small inner square as s and the side length of the larger outer square as S.

Since the small inner square is completely contained within the larger outer square, the ratio of their side lengths will be the same as the ratio of their corresponding sides.

Therefore, we can set up the following proportion:

s / S = x / (x + 10)

Here, the x + 10 represents the side length of the larger outer square, as it is 10 units longer than the side length of the small inner square.

To solve for x, we can cross-multiply the proportion:

s * (x + 10) = x * S

Expanding the equation:

sx + 10s = xS

Rearranging the equation to isolate x:

sx - xS = -10s

Factoring out the common term x:

x(s - S) = -10s

Dividing both sides by (s - S):

x = -10s / (s - S)

Now, we have an expression for x in terms of s and S.

It's important to note that the given information is insufficient to find the exact value of x without additional measurements or equations. The value of x will depend on the specific dimensions of the small inner square and the larger outer square.

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Answer:

a) x-intercept is x=-4

Step-by-step explanation:

From y=log(x-h)+k, h is the value of transitioning between left or right.

Since x+4 makes it x-(-4) means x=-4

Answer:

Step-by-step explanation:

opposite sides are congruent

so  a + 19 = 33

a + 19 - 19 = 33 - 19

a = 14

consecutive angles are supplementary - they equal 180°

4r + 2r = 180

6r = 180

6r/6 = 180/6

r = 30

opposite angles are congruent

so 2r = z

if r = 30

2(30) = z

60 = z

The total number of choices are 15 for a 5-digit number using 1, 2, 3, 7, 6  digits where, repetition of digits is not allowed

In the above question, it is given that

A 5-digit number has to be created using 1, 2, 3, 7, 6  digits where, repetition of digits is not allowed

So, let's consider the  5-digit number as _ _ _ _ _

We'll fill those five blank spaces in order to generate a 5-digit number

The first blank can have any number out of given 5 numbers = Total number of choice for first blank = 5

The second blank can have 4 number out of given 5 numbers as one is already filled in the first blank= Total number of choice for first blank = 4

The third blank can have 4 number out of given 5 numbers as one is already filled in the first blank and second= Total number of choice for first blank = 3

The fourth blank can have 2 number out of given 5 numbers as one is already filled in the first, second, third = Total number of choice for fourth blank = 2

The fifth blank can have 1 number out of given 5 numbers as one is already filled in the first, second, third and fourth = Total number of choice for fifth blank = 1

Therefore, the total number of choices are 5 + 4 + 3+ 2+1 = 15

Hence,  the total number of choices are 15 for a 5-digit number using 1, 2, 3, 7, 6  digits where, repetition of digits is not allowed

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

A stock split is a corporate action in which a company increases the number of shares it has outstanding by giving each shareholder more shares. This action does not affect the proportionate equity that each shareholder holds in the corporation. Instead, it adjusts the number of shares and the share's par value. In the case of Giacomo Company, a manufacturer of outdoor tables and chairs for European-style cafes, specific information is provided.

On January 1st, Year 1, Giacomo issues 500,000 shares of $2 par value common stock for $10 per share. This marks the first time Giacomo has issued common stock during Year 1, and no other stock issuances occur throughout the year.

Assuming Giacomo executes a 9:4 stock split, each old share would be transformed into 2.25 new shares (9/4). Consequently, the number of shares outstanding would increase by 125 percent. To calculate the new par value of Giacomo's stock, we can utilize the formula:

New par value per share = Old par value per share / (Split ratio)

In this case, the old par value is $2 per share, and the split ratio is 9/4. Substituting these values into the formula, we find:

New par value per share = $2 per share / (9/4)

New par value per share ≈ $0.888888888888889 or $0.89 per share

Therefore, the new par value of Giacomo's stock after a 9:4 stock split would be $0.89.

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Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.

hope this helped <3

Answer:

This is how to read a

Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"

How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.

Hope this helped!

Answer:

11%

Step-by-step explanation:

1. Fill out the table with the correct numbers.

2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.

3. We know the total number of students under the age of 15 is 165.

4. To find the percent:

       18/165 * 100

               = 11%

Answer:

41%

Step-by-step explanation:

Look at the column "Age 15 and above".

Notice how the row total for that column is 195.

Also, look at "Bus".

Notice how there is a gap between 60 and 110.

To calculate the answer, you need to fill in the blanks using the surrounding numbers.

60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.

The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.

Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.

65 + 50 = 115, 115 + 80 = 195.

Although, notice that this does not mean the answer is not 80%.

We need to find what percentage is 80 out of 195.

80 out of 195 = 41.03%.

By rounding, we will get an answer of 41%.

The area beyond a z-score of -1.5 is approximately 0.0668, or 6.68%. Therefore, the probability of facing a loss that amounts to more than 1.5 standard deviations from the mean on any given day is approximately 6.68%.

To find the probability of facing a loss that amounts to more than 1.5 standard deviations from the mean on any given day, we need to calculate the area under the normal distribution curve beyond 1.5 standard deviations below the mean.

Given:

Mean (μ) = 20 basis points

Standard deviation (σ) = 40 basis points

To calculate the probability, we need to find the z-score corresponding to 1.5 standard deviations below the mean, and then determine the area under the normal distribution curve beyond that z-score.

The z-score formula is: \(z = (x - \mu) / \sigma\)

In this case, x represents the value 1.5 standard deviations below the mean. We can calculate the z-score as follows: z = (x - 20) / 40

To find x, we multiply 1.5 standard deviations by the standard deviation (40 basis points) and subtract it from the mean:

x = 20 - (1.5 * 40) = 20 - 60 = -40 basis points

Now, we can substitute these values into the z-score formula:

z = (-40 - 20) / 40 = -60 / 40 = -1.5

Using a standard normal distribution table or a calculator, we can find the area beyond a z-score of -1.5. This corresponds to the probability of facing a loss that amounts to more than 1.5 standard deviations from the mean.

The area beyond a z-score of -1.5 is approximately 0.0668, or 6.68%. Therefore, the probability of facing a loss that amounts to more than 1.5 standard deviations from the mean on any given day is approximately 6.68%.

In conclusion, based on the provided mean and standard deviation, we calculated the probability of experiencing a loss that exceeds 1.5 standard deviations from the mean on any given day to be approximately 6.68%.

This indicates that such losses are relatively rare, with the majority of the daily returns expected to fall within the range defined by the mean and standard deviation.

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Answer:

$303 0cents

Step-by-step explanation:

237 + 128 -62 = 303

The amount Julie has to spend after buying the chair is $303.

The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.

As per the given data:

We are given the details of the transactions that Julie did.

We have to find out the remaining amount of money that is left with Julie after the transactions.

Initial amount that Julie had to spend (A) = $237

Amount received as a refund after returning that calculator (B) = $128

Price that had to be paid to buy a chair (C) = $62

For finding out money in dollars and cents did Julie have to spend after buying the chair:

= A + B - C

= 237 + 128 - 62

= 365 - 62

= 303

The amount Julie has to spend after buying the chair is $303.

Hence, The amount Julie has to spend after buying the chair is $303.

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Answer:

where is the picture

Step-by-step explanation:

Answer:

where's the picture?

Step-by-step explanation: