The sum of 4 consecutive odd numbers is 1040. Find the numbers.

Answer:

The answer is the width is 80

Answer:

it's the last one in the lower right corner.

To find the probability that the equipment is functioning properly, we need to consider the cases where 6, 7, 8, or all 9 components are operational.

Let's calculate the probability for each case and add them together.
For 6 components to be operational, we have to choose any 6 out of the 9 components. The probability of each chosen component working is p, and the probability of each unchosen component failing is (1 - p). So, the probability for 6 operational components is (9 choose 6) * \(p^6 * (1 - p)^3.\)
Similarly, for 7 operational components, the probability is (9 choose 7) \(* p^7 * (1 - p)^2.\)
For 8 operational components, the probability is (9 choose 8) * \(p^8 * (1 - p).\)
Lastly, for all 9 components to be operational, the probability is\(p^9.\)
Adding up these probabilities will give us the overall probability that the equipment is functioning properly.

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Answer:

X=7 and y is y=40 length is 47

Step-by-step explanation:

The solution of given expression is o and 22/17 .

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to specific an unknown value the usage of letters together with x, y, z, and so forth. those letters are called right here as variables.

An algebraic expression can be a aggregate of both variables and constants. Any cost that is positioned earlier than and expanded with the aid of a variable is a coefficient.

Given expression ,

13y^2+9y+4y^2-31y

Lets equals to 0

we get,

13y^2+9y+4y^2-31y  = 0

17 y ^2 - 22y = 0

y (17y -22) = 0

y = 0

and y  = 22/17

Hence, The solution of given expression is 0 and 22/17 .

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Answer:

Together, they have 12 + 2(12) = 12 + 24 = 36 toys.

Answer:

so in total they have 36 toys

Step-by-step explanation:

Answer:

9b+10s  

Step-by-step explanation:

Answer:

9b+10s

Step-by-step explanation: taking quiz right now

hi <3

lets create variables for our unknowns

width = n

length = 4.5n

now lets input the information we know:

4.5n x n = 36

simplify:

4.5n^2 = 36

divide both sides by 4.5:

n^2 = 8

n = square root of 8

therefore, the width is 2.83 (to 2dp) and length is 12.73 (to 2dp)

hope this helps :)

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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If `X` is a discrete random variable, then its expected value is defined as:`

E(X) = Σᵢ xᵢ f(xᵢ)

`where the sum is taken over all possible values of `X`.

Let random variable X have pmf `

f(x) = 1/8` with `x = -1, 0, 1` and `u(x) = x²`.

Find `E(u(x))`.Solution:Given, random variable X has pmf

`f(x) = 1/8` with `x = -1, 0, 1` and `u(x) = x²`

.We need to find `E(u(x))`.We know that the expected value of a function `g(X)` is defined as:`E[g(X)] = Σᵢ g(xᵢ)f(xᵢ) `where `xᵢ` is each value that `X` can take on and `f(xᵢ)` is the probability that `X = xᵢ`.

So, we have:`E(u(x)) = Σᵢ u(xᵢ)f(xᵢ)``````````= u(-1)f(-1) + u(0)f(0) + u(1)f(1)``````````= (-1)²(1/8) + (0)²(1/8) + (1)²(1/8)``````````= (1/8) + (1/8)``````````= 1/4`Therefore, `E(u(x)) = 1/4`.Answer:Thus, the expected value of `u(x)` is `1/4`.Explanation: The expected value is the summation of the probability-weighted values of a random variable.  

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(a) a + b = (3.0 m)i^ - (2.0 m)j^ + (5.0 m)k^

(b) a - b = (5.0 m)i^ - (4.0 m)j^ - (3.0 m)k^

(c) c = (2.0 m)i^ - (2.0 m)j^ - (1.0 m)k^

In unit-vector notation, we can find the sum of two vectors by adding their corresponding components. For vector a = (4.0 m)i^ - (3.0 m)j^ + (1.0 m)k^ and vector b = (-1.0 m)i^ + (1.0 m)j^ + (4.0 m)k^:

(a) To find a + b, we add the corresponding components of both vectors:

The i-component is 4.0 m - 1.0 m = 3.0 m.

The j-component is -3.0 m + 1.0 m = -2.0 m.

The k-component is 1.0 m + 4.0 m = 5.0 m.

Therefore, a + b = (3.0 m)i^ - (2.0 m)j^ + (5.0 m)k^.

(b) To find a - b, we subtract the corresponding components of vector b from vector a:

The i-component is 4.0 m - (-1.0 m) = 5.0 m.

The j-component is -3.0 m - 1.0 m = -4.0 m.

The k-component is 1.0 m - 4.0 m = -3.0 m.

Therefore, a - b = (5.0 m)i^ - (4.0 m)j^ - (3.0 m)k^.

(c) To find a vector c such that a - b + c = 0, we need to find a vector that cancels out the result of a - b.

By observation, we can see that vector c = (2.0 m)i^ - (2.0 m)j^ - (1.0 m)k^ satisfies this condition, as its components are the negative values of the components of a - b.

Therefore, a - b + c = (5.0 m)i^ - (4.0 m)j^ - (3.0 m)k^ + (2.0 m)i^ - (2.0 m)j^ - (1.0 m)k^ = 0.

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answer: $30

500 x 0.03 x 2 = 30

30 = simple interest

Judy would pay back the simple interest of $30.

To solve this question, we would have to use the formula of simple interest which is given as A = P(1 + rt)

substitute the values and solve for the simple interest.

\(A= P(1 + rt)\\A= 500(1+0.03*2)\\A = 530\)

The simple interest he is to pay at the end of 2 years is the subtraction of the principal from the final amount

S. I = 530 - 500 = $30

Alternatively, we can use

\(S.I = PRT\) and substitute the values.

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Answer: 12.96 and 8.87 units respectively

Step-by-step explanation:

The sine rule states that the ratio between a side of a triangle and the sine of the angle opposing the side will be equal for all three sides of the same triangle.

For Q20, we can get the equation \(\frac{19}{sin(90)} = \frac{x}{sin(43)}\) and from here we can solve for x which is 12.96 so the answer to Q20 is 12.96 units.

For Q21, the angle opposite of x can be found by summing up the two known angles and subtracting that from 180° to get 43°. From here, we can get the equation  \(\frac{13}{sin(90)} = \frac{x}{sin(43)}\) and solve for x which is 8.87 so the answer to Q21 is 8.87 units

Answer:

Step-by-step explanation:

For an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

so, C part is correct

Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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The Master Theorem is a powerful tool for solving divide-and-conquer recurrences. It provides a way to quickly determine the asymptotic behavior of algorithms by analyzing their running time.

Case 1 of the Master Theorem applies to algorithms that split the problem into smaller subproblems of equal size and combine their solutions in constant time. In this case, the running time can be expressed as T(n) = aT(n/b) + f(n), where a is the number of subproblems, b is the size of each subproblem, and f(n) is the time to combine the subproblem solutions. The solution to this recurrence is T(n) = Θ(nlogba) if f(n) = Θ(nlogka) for some constant k < log(ba).

Case 2 of the Master Theorem applies to algorithms that split the problem into smaller subproblems of equal size and combine their solutions in linear time. In this case, the running time can be expressed as T(n) = aT(n/b) + f(n), where a is the number of subproblems, b is the size of each subproblem, and f(n) is the time to combine the subproblem solutions. The solution to this recurrence is T(n) = Θ(nlogba logn) if f(n) = Θ(nlogba) .

If the recurrence cannot be expressed in either of these forms, then the Master Theorem does not apply. In this case, other techniques such as substitution or recursion trees may be used to solve the recurrence.

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Answer: 12 inches

Step-by-step explanation:

This is a square shaped mirror which means that it takes the shape of a square.

All sides on a square are equal and because the way the find the area of a square is to multiple the Length by the Width, you would be squaring the same number to find the area.

Length of each side = √area

= √144

= 12 inches

The type of informational text that Jax is reading based on the given clues is; A: Cause and effect.

An informational text is a nonfiction piece of writing that is intended to provide information on a specific topic. The term "informational text" simply refers to text that contains facts and is supplemented with text features such as graphs, headings, glossaries, and tables of contents.

Some examples of informational text sources are Newspaper articles, Online articles, Brochures with information

Encyclopedias.

In this case, causality is the influence that one event, process, state, or object has on the production of another event, process, state, or object, where the cause is partially responsible for the effect and the effect is partially dependent on the cause.

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Answer:

Step-by-step explanation:

It is Problem and solution looked in the lesson and problem and solution use the same keywords as the challenge, the issue,and to solve.

The criterion that is least likely to be used in choosing bins (classes) in a frequency distribution is personal preference or subjective judgment.

When constructing a frequency distribution, it is important to consider objective criteria based on the nature of the data and statistical principles. Common criteria used for choosing bins include the range of the data, the desired number of bins, the shape of the data distribution, and the purpose of the analysis. These criteria help ensure that the bins effectively capture the variation in the data and provide meaningful insights. Personal preference or subjective judgment, on the other hand, may introduce bias and lack objectivity in determining the bin boundaries. It is essential to rely on objective criteria and statistical guidelines to make informed decisions when choosing bins for a frequency distribution.

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what is the name of triangle

The given series is convergent and the sum S∞ is 5.555

Think about 10 - 8 - 6.4 - 5.12

If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.

the average ratio,

r = -8/10

⇒ r = -0.8

This equals 1 - 0.8 - 1.

The presented series is hence convergent.

Sum of series = S∞ = a/(1 - r)

Here, first term(a) = 10,

common ratio(r) = -0.8,

S∞ = a/(1 - r)

⇒ S∞ = 10/(1 - (-0.8))

⇒ S∞ = 10/(1 + 0.8)

⇒ S∞ = 10/1.8

⇒ S∞ = 5.555

Therefore, the given series is convergent and the sum S∞ is 5.555

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Answer:

rocks. rocks everywhere means no where for trees so no foods.

Step-by-step explanation:

Answer:

3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54 

is the correct answer is the 54

Answer:

52/63

Step-by-step explanation:

Here, we want to multiply two fractions

we have this as;

4/7 * 13/9

= 52/63

The midpoint of the line segment AB is ( - 3.5, - 0.5 ).

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The midpoint M of the line segment formed by two points P(x₁, y₁) and Q(x₂, y₂) is:

M( (x₁ + x₂) / 2 , (y₁ + y₂ ) /2 )

Now,

Let A( - 1, - 6) = (x₁, y₁) and B( - 6, 5) = (x₂, y₂)

Therefore, the halfway point of the segment AB with points A (−1, −6) and B (−6, 5) is:

midpoint = [ ( -1 - 6) / 2 , ( -6 + 5) / 2 ]

midpoint = [ - 7/ 2, -1/ 2 ]

midpoint = ( - 3.5, - 0.5 )

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Answer:

Step-by-step explanation:

3×(5)^2 - 4×2 + 2×2×5

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 20

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-8

3×(5)^2 - 4×2 + 2×2×53×25 - 8 + 2075 + 20 - 8 95-887

Answer:

Step-by-step explanation:

100cm/m=260cm/xm

cross multiply and solve:

100x=260

x=2.6

Answer: If you got 18 points out of 28 that would be like a 64 (D)

Step-by-step explanation:

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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