please work this out

The ending values in vector `x` after executing the given code snippet would be `7 3 0 8 8`.

The given code snippet appears to be incorrect and incomplete. There are a few issues:

1. The loop condition is not properly defined. Instead of `i < x.size() - 1`, it should be `i < x.size() - 1` to ensure that `i` does not exceed the valid index range of the vector `x`.

2. The increment expression `i` is missing in the loop statement, causing an infinite loop since `i` never changes.

Assuming the correct loop condition is `i < x.size() - 1` and the missing increment expression is `i++`, let's correct the code:

cpp

#include <iostream>

#include <vector>

int main() {

   std::vector<int> x = {4, 7, 3, 0, 8};

   int i;

   for (i = 0; i < x.size() - 1; i++) {

       x.at(i) = x.at(i + 1);

   }

   // Printing the modified vector x

   for (int element : x) {

       std::cout << element << " ";

   }

   std::cout << std::endl;

  return 0;

}

Now, running this corrected code will give the following output:

7 3 0 8 8

After executing the loop, the vector `x` will have the ending values `7, 3, 0, 8, 8`. The last element `x.at(4)` is assigned the value of `x.at(4 + 1)`, which is `8`.

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a. the probability of finding exactly 6 defects in a carpet roll is approximately 0.0403.

b. the probability of finding 3 or fewer defects in a carpet roll is approximately 0.135.

A) The probability of finding exactly 6 defects in a carpet roll can be calculated using the Poisson probability formula:

P(X = 6) = (e^-λ) * (λ^6) / 6!

where λ = 2.0 (the average number of defects per roll), and e is the mathematical constant approximately equal to 2.71828.

Plugging in the values, we get:

P(X = 6) = (e^-2) * (2^6) / 6! = 0.0403

So the probability of finding exactly 6 defects in a carpet roll is approximately 0.0403.

B) To find the probability of finding 3 or fewer defects in a carpet roll, we need to calculate the cumulative probability:

P(X ≤ 3) = Σ_{i=0}^3 P(X = i) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

where P(X = i) is the probability of finding exactly i defects, which can be calculated using the Poisson probability formula.

Plugging in the values and adding the probabilities, we get:

P(X ≤ 3) = (e^-2) + (e^-2) * (2^1) / 1! + (e^-2) * (2^2) / 2! + (e^-2) * (2^3) / 3!

P(X ≤ 3) = 0.135

So the probability of finding 3 or fewer defects in a carpet roll is approximately 0.135.

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Complete question:

The World Carpet and Rug Company buys medium grade carpet in 100-foot rolls. The average number of defects per roll is 2.0. Assuming that these data follow a Poisson distribution,

A) What is the probability of finding exactly 6 defects in a carpet roll chosen at random?

b) What is the probability of finding 3 or fewer defects in a carpet roll?

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer:

12 outcomes just count the category that ahs outcomes over it. 8 outcomes with Linda or Maria just find the ones with either one of their names and count them. 3 outcomes with both John and Amanda just find the names and count the amount of outcomes.

Answer:

1.6

i think

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

1.6

1.625

2 is closer to 0 than 10

It would take approximately 60 years for Keenan to double his money with an APY of 1.2%. Therefore, the answer is (a) 60 years.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To determine how long it would take for Keenan to double his money with an annual percentage yield (APY) of 1.2%, we can use the "Rule of 72." This rule is a quick and easy way to estimate the time it takes for an investment to double in value.

The rule of 72 states that to find the number of years it takes for an investment to double, we divide 72 by the annual interest rate. So, in this case, we would divide 72 by 1.2 to get:

72 / 1.2 = 60

Therefore, it would take approximately 60 years for Keenan to double his money with an APY of 1.2%. Therefore, the answer is (a) 60 years.

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Answer:

The commutative property of addition indicates that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4

Step-by-step explanation:

The rate of change of an edge of the cube is 0.074 m/min.

The rate at which the volume of the cube changes is calculated as follows;

dv/dt = 2 m³/min

where;

The length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.

v = a³

a = v^¹/₃

where;

The change in the edge with volume;

da/dv = 1/3 (1/v)^2/3

The change in edge of the cube with time is given as;

da/dt = da/dv . dv/dt

da/dt = 1/3 (1/v)^2/3    x   2 m³/min

da/dt = 1/3 (1/27)^2/3 /m²     x    2 m³/min

da/dt = 1/27 x 2  m/min

da/dt = 2/27  m/min

da/dt = 0.074 m/min

Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.

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Answer:

13, 39

Step-by-step explanation:

H +J =52

H=3J

3J +J=52

4J=52

J=52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 36

Both the length and width of the rectangle are approximately 31.62 m each.

The Area of a rectangle is calculated by multiplying the length by the width.

A = L x W

We have given that area of rectangle is 1,000 m²

1000 = W× L => W = 1000/L ---(1)

The circumference of rectangle is twice the sum of the dimensions. That is,

P = 2L + 2(1000/L)

Now, it is provided that perimeter is minimum so, we differentiate perimeter with respect to L then put first order derivative equal to zero.

dP/dL = 2 + 2000(-1/L²) = 0

=> 2-2000/L²=0

=>2000/L²=2

=> L²=2000/2

=> L²= 1000

=> L= 31.622

putting value of L in (1) we get , W= 31.622m

Therefore the length and width of the rectangle are both approximately 31.622m .

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The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

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The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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The average pay-per-hour of the year for Elise will be 13.73 pounds.

From the information, in 2016 she earned £2100 and in 2017 she was awarded a 3% increase on her monthly salary.

Therefore, the new salary will be:

= 2100 + 3%(2100)

= 2100 + 63

= 2163

Now she worked for 42 hours per week for 45 weeks. This will be:

= 42 × 45

= 1890 hours

Therefore, the total earnings for the year will be:

= 2163 × 12 months

= 25956

The average pay-per-hour of the year will be:

= Total amount / Number of hours

= £25956 / 1890

= £13.73

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Answer:

Two-digit number ab: a = b + 2

20, 31, 42, ..., 97 ==> 8 numbers

b = a + 2, 8 numbers

8 + 8 = 16 numbers

Step-by-step explanation:

The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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A standard piece of paper typically has dimensions of 8.5 inches by 11 inches (21.59 cm by 27.94 cm).

These dimensions refer to the North American standard paper size known as "Letter" or "US Letter." It is commonly used for various purposes such as printing documents, letters, and reports. The dimensions are based on the traditional imperial measurement system, specifically the United States customary units. The longer side of the paper is known as the "letter" or "long" side, while the shorter side is called the "legal" or "short" side.

The 8.5 by 11 inch size provides a versatile and widely accepted format for printing and documentation needs.

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Answer:

a = 84°

Step-by-step explanation:

∠ QPR and ∠ TPR are adjacent and supplementary, thus

∠TPR = 180° - 123° = 57°

Given there are parallel lines , then

∠ PTR = 27° ( alternate angle )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ TRS is an external angle , thus

∠ TRS = a = 57° + 27° = 84°

Answer:

84 degrees.

Step-by-step explanation:

m < R + m < T = 123  (External angle of a triangle theorem)

m < T =  27 degrees (alternate angle to 27 degrees).

So m < R = 123 - 27 = 96 degrees.

Finally m < a = 180 - 96 = 84 degrees  ( as it is adjacent to < R)

Constant of variation for given quadratic equation is 2/3

Correct option is a.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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Answer:

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

Step-by-step explanation:

hope this helps.

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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The probability that the sample will have at least 3 left-handed children is P( x ≥ 3 ) = 0.4024

In the given case we have,

Multiple births account for about 3.5% of all births in a particular area (that is, twins, triplets, etc.). 22 percent of the local youngsters born from multiple births are left-handed. 11 percent of the region's newborn single-birth infants have left-handedness.

It is asked to find out a random sample of 20 children born in the region will be selected. what is the probability that the sample will have at least 3 left-handed children?

The above case can be solved by permutations and combinations;

Given that, n = 20

P( left-handed ) = 0.1139

P( x ≥ 3 ) = 1 - [ {P( x = 0 )} + {P( x = 1 )} + {P( x = 2 )} ] ⇒ ( I )

Here, we use the formula;

P( x = k ) = ( ⁿ ₓ) Pˣ ( 1 - P)ⁿ⁻ˣ

P( x = 0 ) = ( ²⁰ ₀) (0.1139)⁰ (1 - 0.1139)²⁰⁻⁰

              = 0.0891

P( x = 1 ) = ( ²⁰ ₁) (0.1139)¹ (1 - 0.1139)²⁰⁻¹

             = 0.2289

P( x = 2 ) = ( ²⁰ ₂) (0.1139)² (1 - 0.1139)²⁰⁻²

              = 0.2796

From equation ( I );

P( x ≥ 3 ) = 1 - [ {P( x = 0 )} + {P( x = 1 )} + {P( x = 2 )} ]

              = 1 - [0.0891 - 0.2289 - 0.2796]

P( x ≥ 3 ) = 0.4024

The probability that the sample will have at least 3 left-handed children is P( x ≥ 3 ) = 0.4024

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Answer:

y=-5/2x+3

Step-by-step explanation:

Answer:

A

B

Step-by-step explanation:

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

-36 = k

Step-by-step explanation:

-3 = k/12

Multiply each side by 12

-3*12 = k/12 *12

-36 = k

Answer: k= -36

Step-by-step explanation:

\(-3=\frac{k}{12}\)

multiply both sides by 12

\(\frac{12k}{12}=12\left(-3\right)\)

12*(-3)=-36

\(\frac{12k}{12}=12\left(-3\right)\)

k=-36

Answer:

8138.88 cubic unit.

Step-by-step explanation:

Given that,

Radius, r = 12

Height, h = 18

We need to find the volume of the prop. The volume of a cylinder is given by the formula as follows :

\(V=\pi r^2 h\\\\V=3.14\times 12^2 \times 18\\\\V=8138.88\\)

So, the volume of the cylinder is 8138.88 cubic unit.

The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.

The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -

a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.

Keep the values in formula -

a . b = 6(5) + x² + (-11)x

a . b = 30 + x² - 11x = 0

So, x² - 11x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6) (x - 5) = 0

So, the value of x is 6,5.

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The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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