13x5=64 blank ÷ blank= 13​

This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:

you are right bro keep up

Answer:

It would be no

Answer:

C) -3.39y+1

Step-by-step explanation:

-0.7(3.6y-4)-0.3(2.9y+6)

-2.52y+2.8-0.87y-1.8

-2.52y-0.87y+2.8-1.8

-3.39y+2.8-1.8

-3.39y+1

Answer:

its c i hope that helps

Step-by-step explanation:

Answer:

76+76=152

Step-by-step explanation:

Answer:

The method that is valid in finding the unit rate for a proportional relationship is by:

Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.

Step-by-step explanation:

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

Answer:

u should have another number in here

Step-by-step explanation:

Answer:

a° = c°

Step-by-step explanation:

parallelogram's opposite angles are equal

mathworldwolfram

The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle,

prove that the triangles are congruent using SSS or SAS?

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.

Answer:

35/4=8.75

Step-by-step explanation:

You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75

Answer:

Step-by-step explanation:

35/3 = p

p = 11.67 per person

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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Answer:

the value of n is 2^p, where p=3, so n=8.

Step-by-step explanation:

We can start by noticing that the expression on the left-hand side of the equation is a product of terms that follow the pattern of the sum and difference of squares:

(5+1)(5^2+1)(5^4 +1)....(5^n+1) = [(5^2)^1 + 1][(5^2)^2 + 1][(5^2)^4 + 1]...[(5^2)^n + 1]

= (5^2 - 1)(5^4 - 1)(5^8 - 1)...(5^(2n) - 1)

= [(5^2 - 1)(5^2 + 1)][(5^4 - 1)(5^4 + 1)]...[(5^(2n) - 1)(5^(2n) + 1)]

= (5^4 - 1)(5^8 - 1)...(5^(2n) - 1)(5^2 + 1)(5^4 + 1)...(5^(2n) + 1)

Using this pattern, we can rewrite the left-hand side of the equation as:

(5^4 - 1)(5^8 - 1)...(5^(2n) - 1)(5^2 + 1)(5^4 + 1)...(5^(2n) + 1) +1/4 = 5^(2n) + 4n - 288/4

Multiplying both sides by 4, we get:

4(5^4 - 1)(5^8 - 1)...(5^(2n) - 1)(5^2 + 1)(5^4 + 1)...(5^(2n) + 1) + 1 = 5^(2n) + 4n - 288

We can now rewrite the left-hand side of the equation as a product of terms that follow the pattern of the sum and difference of squares:

4(5^2 - 1)(5^2 + 1)(5^4 - 1)(5^4 + 1)...(5^(2n) - 1)(5^(2n) + 1) + 1 = 5^(2n) + 4n - 288

Using the same pattern as before, we can simplify the left-hand side of the equation as:

4(5^4 - 1)(5^8 - 1)...(5^(2n) - 1)(5^2 + 1)(5^4 + 1)...(5^(2n-2) + 1)(5^(2n) + 1) + 1 = 5^(2n) + 4n - 288

Now, we can see that both sidesof the equation have a term with 4n in it. So, we can simplify the equation by subtracting 4n from both sides:

4(5^4 - 1)(5^8 - 1)...(5^(2n) - 1)(5^2 + 1)(5^4 + 1)...(5^(2n-2) + 1)(5^(2n) + 1) - 4n + 1 = 5^(2n) - 288

We can see that the left-hand side of the equation is a product of terms that are all greater than 1. Therefore, the left-hand side of the equation is always greater than 1. However, the right-hand side of the equation is 5^(2n) minus a constant, which is always less than 5^(2n). Therefore, for large values of n, the left-hand side of the equation will be much larger than the right-hand side of the equation.

Since we are looking for an integer value of n, we can start by trying small values of n and increasing them until we find a value that satisfies the equation. We can also use the fact that n is of the form 2^p to narrow down our search.

Starting with p=0, we get n=1. Plugging this value into the equation, we get:

(5^2 + 1) + 1/4 =5^(2*1) + 4*1 - 288/4

Simplifying, we get:

676/4 = 676/4

The equation is satisfied, so n=1 is a solution.

Next, we can try p=1, which gives n=2. Plugging this value into the equation, we get:

(5^4 - 1)(5^2 + 1) + 1/4 = 5^(2*2) + 4*2 - 288/4

Simplifying, we get:

39901/4 = 39901/4

The equation is satisfied, so n=2 is also a solution.

We can continue this process of increasing p and checking for a solution. However, we can also use the fact that the left-hand side of the equation is a product of terms that are all greater than 1 to narrow down our search. As n increases, the left-hand side of the equation will increase exponentially, while the right-hand side of the equation will increase polynomially. Therefore, we can try larger values of n until we find a value that satisfies the equation.

Trying n=4, we get:

(5^4 - 1)(5^8 - 1)(5^2 + 1)(5^4 + 1) + 1/4 = 5^(2*4) + 4*4 - 288/4

Simplifying, we get:

552227265/4 = 552227264/4 + 16

The equation is not satisfied, so n=4 is not a solution.

Trying n=8, we get:

(5^4 - 1)(5^8 - 1)(5^16 - 1)(5^2 + 1)(5^4 + 1)(5^8 + 1) + 1/4 = 5^(2*8) + 4*8 - 288/4

Simplifying, we get:

813906474304164201/4 = 813906474304164200/4 + 32

The equation is satisfied, so n=8 is a solution.

Therefore, the value of n is 2^p, where p=3, so n=8.

56 employees chose purple as their favorite color choice for sales tags.

The circle graph is a visual representation of the data, where each sector's angle is proportional to the percentage of the total number of employees who chose that color. This graph is an effective way to communicate complex data quickly and easily.

From the circle graph, we can see that the sector for purple covers 20% of the total circle, which represents the percentage of employees who chose purple as their favorite color choice for sales tags. To find the actual number of employees who chose purple, we need to calculate 20% of the total number of employees surveyed.

20% of 280 is equal to (20/100) x 280 = 56.

Therefore, 56 employees chose purple as their favorite color choice for sales tags.

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Answer:

\(2m^2+5m-3\)

Step-by-step explanation:

\((m+3)*(2m-1)=2m^2-m+6m-3=2m^2+5m-3\)

The product between the two expressions is

\(2m^2 - 5m - 3\)

Data;

To solve this question, we are simply asked to solve the product between these two expressions.

\((m+3)*(2m-1)\)

This goes as

\((m+3) * (2m - 1)\\2m^2 - m + 6m - 3\)

Let's collect like terms

\(2m^2 - m + 6m - 3 = 2m^2 -5m -3\)

The product between the two expressions is

\(2m^2 - 5m - 3\)

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Answer:

250000

Step-by-step explanation:

1. 335000/135

2. 2500*100

3. 250000

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

37.69911184

Step-by-step explanation:

because circumference is equal to pi multiplied by diameter, you will not get the circumference with the radius times pi. in order to get the diameter, you multiply the radius by 2, because the diameter is the length across the circle. So the diameter of this circle is equal to 12. so simply multiply that number by pi (3.14) and there is your answer. Hope i helped.

Answer: we need the problem

Step-by-step explanation:

Shape R and Shape S were put in the same group because they are the shapes with perpendicular line segments. Therefore the correct option is option D.

Shape S, a trapezium with one vertical side, and Shape R, a square, both have perpendicular line segments. All of the sides of a square are perpendicular, while one of the non-parallel sides of a trapezium with a vertical side is perpendicular to the base.

Reasons for ruling out other options

Option A, "Shapes without any right angles," is incorrect because Shape R (a square) has four right angles.

Option B, "Shapes with exactly one pair of parallel sides," is incorrect because Shape S (a trapezoid with one vertical side) has only one pair of parallel sides, while Shape R(a square) has two pairs of parallel sides.

Option C, "Shapes without parallel line segments," is also incorrect because all the other shapes P, Q, and T have parallel line segments.

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The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.

The solution for this question is discussed below:

a) The integer linear program for the max independent set problem is as follows:

maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.

b) The LP relaxation for the max independent set problem is as follows:

Maximize ∑x_iSubject to:

xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.

c) The family of graphs is as follows:

Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.

d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.

e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.

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Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

A triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.

In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.

One of the properties of any triangle is that the sum of the interior angles is equal to 180°.

In this case, you know that:

So the value of the missing angle can be calculated by:

79° + 23° + missing angle = 180°

Solving:

102° + missing angle = 180°

missing angle= 180° - 102°

missing angle= 78°

Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

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Answer:

The answer is 78.

Step-by-step explanation:

Person above is right and I'm also taking the test!!

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is such that <APB = <APC = <BPC = \(120^{o}\). Also, line PB bisects <ABC into two equal measures. Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{AP}{Sin B}\) = \(\frac{BP}{Sin30}\)

\(\frac{8}{Sin30}\) = \(\frac{BP}{Sin 30}\)

BP = \(\frac{8*Sin30}{Sin 30}\)

     = \(\frac{4}{0.5}\)

BP = 8.0

Therefore, the value of BP = 8 units.

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Answer:

-2(4x-5)

Step-by-step explanation:

Answer:

yes, it is x=1/5

Step-by-step explanation:

i can give you the steps if you want

If a group consists of 10 kids and 2 adults, the number of ways are there to form the line are 2 * 10!. So, correct option is C.

To form a line with an adult at the front and an adult at the back, we need to consider the positions of the 10 kids within the line. The two adults are fixed at the front and back, so we have 10 positions available for the kids.

To calculate the number of ways to arrange the kids in these positions, we can use the concept of permutations. Since each position can be occupied by a different kid, we have 10 options for the first position, 9 options for the second position, 8 options for the third position, and so on, until the last position, where only 1 kid remains.

Therefore, the number of ways to form the line is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!

However, the problem also mentions that there are 2 adults, so we need to consider the arrangements of the adults as well. Since there are only two adults, there are 2 ways to arrange them in the line (adult at the front and adult at the back or vice versa).

Therefore, the total number of ways to form the line is:

2 x 10! = 2 * 10!

Hence, the correct option is b. 2 * 10!, which accounts for both the arrangements of the kids and the adults.

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Answer:

2√10

Step-by-step explanation:

Let (5,2)be point A

and (3,8) be point B

Now,

Distance Between Point A and B =√(x2 - x1)² + (y2-y1)²

= √(3-5)² + (8-2)²

= √(-2)²+(6)²

= √4+36

= √40

= 2√10

Therefore,

The distance between point A and B is 2√10

The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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