El colegio compró 234 libros a €14 cada uno cuánto costaron en total

9514 1404 393

Answer:

  D) 45 and 1.2

Step-by-step explanation:

The "varies inversely" relationship is described by the equation ...

  y = k/x . . . . . . y varies inversely with x (and vice versa)

The value of k can be found from known values of x and y:

  xy = k . . . . . . multiply the above equation by x

  (10)(6) = k = 60 . . . . using the given values

__

To check if a given pair of numbers satisfies ...

  y = 60/x

you can multiply them together to see if the product is 60.

  (A) 12×5 = 60

  (B) 15×4 = 60

  (C) 25×2.4 = 60

  (D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.

45 and 1.2 are not a possible solution for x and y.

Answer:

I Think D.

Step-by-step explanation:

The distance between the airplane and the tower is approximately 1864.5 meters.

To solve this problem, we can use trigonometry. Let's draw a diagram to help us visualize the situation:

```
   T
  /|
 / |
/  | 500m
/a  |
--------
  x
```

In this diagram, "T" represents the control tower, "a" represents the airplane, and "x" represents the distance between them. We know that the height of the airplane is 500m, and the angle of depression from the tower to the airplane is 15 degrees. This means that the angle between the horizontal ground and the line from the tower to the airplane is also 15 degrees.

Using trigonometry, we can set up the following equation:

```
tan 15 = 500 / x
```

We can solve for "x" by multiplying both sides by "x" and then dividing by tan 15:

```
x = 500 / tan 15
```

Using a calculator, we can find that tan 15 is approximately 0.2679. Therefore:

```
x = 500 / 0.2679
x ≈ 1864.5m
```

So the distance between the airplane and the tower is approximately 1864.5 meters.

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Answer:

-6

Step-by-step explanation:

The equation for this line is y=x-3, so the equation turns into

y=-3-3

-3-3=-6

so therefore, y=-6 when x=-3

Answer:

It would be Zero, because x is -3.

So y would be 0.

Step-by-step explanation:

Answer: -51 my friend

Step-by-step explanation:

Answer:

x = -2

y = 4

Step-by-step explanation:

To solve the system of equations, you want to plug one equation into the other and then simplify. You can do this by setting one equation equal to a variable (like in the first equation), and then substituting the function into the variable into the second equation.

First Equation: y = -2x

Second Equation: 5x - 7y = -38

5x - 7y = -38                                <----- Second equation

5x - 7(-2x) = -38                           <----- Plug first equation into "y"

5x + 14x = -38                              <----- Multiply -7 and -2x

19x = -38                                      <----- Add 5x and 14x

x = -2                                           <----- Divide both sides by 19

Now that you know the value of one variable, you can use it to find the value of the second variable. This can be done by plugging x = -2 in to one of the equations.

y = -2x                                         <----- First equation

y = -2(-2)                                      <----- Plug -2 in "x"

y = 4                                            <----- Multiply -2 and -2

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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(A) sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

(B)  The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n₂)]

In order to determine whether the mean length of mature female pink seaperch is different in fall and winter, a hypothesis test is conducted with a significance level (alpha) of 0.10. The marine biologist collected a sample of 14 mature female pink seaperch in fall, with a mean length of 113 millimeters and a standard deviation of 10 millimeters. Another sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

To support or refute the biologist's claim, the following steps are taken:

(b) The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom. Since the sample sizes are relatively small and the population variances are assumed to be equal, the appropriate test statistic to use is the t-distribution. The critical values are obtained from the t-distribution table or a statistical software. The rejection region(s) correspond to the extreme values in the tails of the t-distribution.

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n²)]

where mean₁ and mean₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

By plugging in the given values, the standard test statistic is calculated.

In order to reach a conclusion about the biologist's claim, the test statistic is compared to the critical value(s) obtained in step (b). If the test statistic falls in the rejection region, the null hypothesis (mean length is the same in fall and winter) is rejected, providing support for the biologist's claim. Conversely, if the test statistic falls outside the rejection region, there is not enough evidence to support the claim, and the null hypothesis cannot be rejected.

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Answer:

$29.4

Step-by-step explanation:

I assume the question is based on simple interest since you didn't specify

Using simple interest

Simple interest=P×R×T

Where,

P=principal=$1470

R=interest rate=4%=0.04

T=time=6 months=0.5 year

Simple interest=P×R×T

=1470×0.04×0.5

=29.4

Interest earned=$29.4

The system of equations has its solution to be (3, 4)

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

2x + y = 10

3x - y = 5

Add the equations

So, we have

5x = 15

Divide by 5

x = 3

Recall that

2x + y = 10

So, we have

6 + y = 10

Evaluate

y = 4

Hence, the solution is (3, 4)

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∫[4, 6] f(x) dx = ∫[4, 6] (18x - 3) dx = [9x^2 - 3x] evaluated from 4 to 6 = (9(6)^2 - 3(6)) - (9(4)^2 - 3(4)).

∫[0, 2] f(x) dx = ∫[0, 2] (18x - 3) dx = [9x^2 - 3x] evaluated from 0 to 2 = (9(2)^2 - 3(2)) - (9(0)^2 - 3(0)).

E(x) = ∫[0, ∞] x f(x) dx = ∫[0, ∞] x(18x - 3) dx = [3x^3 - (3/2)x^2] evaluated from 0 to ∞ = lim(a→∞) [(3a^3 - (3/2)a^2) - (3(0)^3 - (3/2)(0)^2)].

a) To find the probability that the television set lasts between 4 and 6 years, we need to calculate the integral of the density function f(x) over the interval [4, 6]. Since the density function is given by f(x) = 18x - 3 for 0 ≤ x < 3 and 0 for x ≥ 3, we have:

∫[4, 6] f(x) dx = ∫[4, 6] (18x - 3) dx = [9x^2 - 3x] evaluated from 4 to 6 = (9(6)^2 - 3(6)) - (9(4)^2 - 3(4)).

b) To find the probability that the television set lasts at least 5 years, we need to calculate the integral of the density function f(x) over the interval [5, ∞). However, since the density function is zero for x ≥ 3, the integral over this interval is zero.

c) To find the probability that the television set lasts less than 2 years, we need to calculate the integral of the density function f(x) over the interval [0, 2]. Since the density function is given by f(x) = 18x - 3 for 0 ≤ x < 3 and 0 for x ≥ 3, the integral becomes:

∫[0, 2] f(x) dx = ∫[0, 2] (18x - 3) dx = [9x^2 - 3x] evaluated from 0 to 2 = (9(2)^2 - 3(2)) - (9(0)^2 - 3(0)).

d) To find the probability that the television set lasts exactly 4.18 years, we need to evaluate the density function f(x) at x = 4.18. Plugging in the value of x into the density function, we get f(4.18) = 18(4.18) - 3.

e) To find the expected value of the number of years that the television set lasts, we need to calculate the integral of xf(x) over the entire range of x, which is [0, ∞). The expected value is given by:

E(x) = ∫[0, ∞] x f(x) dx = ∫[0, ∞] x(18x - 3) dx = [3x^3 - (3/2)x^2] evaluated from 0 to ∞ = lim(a→∞) [(3a^3 - (3/2)a^2) - (3(0)^3 - (3/2)(0)^2)].

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The question refers to a standard pack of cards comprising 52 cards, (with the Jokers removed).There are an equal number of Red and Black cards.

There are 4 suits (Hearts, Diamonds, Spades and Clubs) in the pack with 13 cards in each suit.The pack is thoroughly shuffled before ANY card is withdrawn.If a card is withdrawn, it is drawn randomly, that is sight-unseen. NOTE: The card drawn is NOT chosen (that is chosen because it is (say) a Spade ), rather because it is sight-unseen, it is therefore selected randomly.There are 52 cards in the pack with each suit comprising 13 cards exactly.In each suit, there is an Ace, 2 3, 4, 5, 6, 7, 8, 9,and 10, Jack, Queen, and King, a total of 13 cards pet suit.8

ANALYSIS

There are 13 SPADE cardsThere are 04 QUEEN cards

There are 52 cards in a pack

There is 01 card which is BOTH A SPADE and a QUEEN.P(SPADE CARD) = ( 13/52 ) = ( 1/4 )

P(QUEEN CARD) = ( 4/52 ) = ( 1/13 )

P( SPADE or QUEEN CARD ) = P(SPADE CARD) + P(QUEEN CARD) - P(CARD THAT IS BOTH SPADE AND QUEEN) or

= ( 13/52 ) + (4/52) - (1I/52)

P( SPADE or QUEEN CARDS )

=( 13/52 ) + ( 4/52 ) - ( 1/52 )= ( 16/52 ) = 0.3077(rounded) = 30.77%

Therefore, the Probability of drawing a SPADE or a QUEEN is 30.77%

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Answer:

20m^2

Step-by-step explanation:

multiply the side lengths

The penguin swims half the circumference of the circular island, which is equivalent to half the distance around the circle.

The circumference of a circle can be calculated using the formula:

C = πd,

where C is the circumference and d is the diameter of the circle.

Given that the diameter of the island is 20 meters, the radius (r) of the island is half the diameter, which is 10 meters.

Substituting the value of the radius into the formula, we have:

C = π * 10 meters = 10π meters.

To find half the circumference, we divide the total circumference by 2:

Half circumference = (10π meters) / 2 = 5π meters.

Therefore, the penguin swims a distance of 5π meters.

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\(Given that the curve is y=√₁+e*\) and we need to find the exact area of the surface obtained by rotating the curve about the x-axis from x=0 to x=1.

To find the exact area of the surface, we use the formula of the area of the surface obtained by rotating the curve \(about the x-axis from x = a to x = b. We have;`A = 2π∫_a^b▒〖y*sqrt(1+(dy/dx)^2 ) dx〗\)`where a = 0 and b = 1.\(And the given curve is `y = √(1 + e^x)`.\)

\(Therefore,`dy/dx = e^x / 2√(1 + e^x)`\)

\(Substituting these values in the formula of the area, we get;`A = 2π∫_0^1▒〖y*sqrt(1+(dy/dx)^2 ) dx〗` `= 2π∫_0^1▒〖√(1 + e^x) * sqrt(1 + e^x / 4(1 + e^x)) dx〗`\)

\(After simplification, this will become;`A = π/3 * (5e^2 + 2)^{3/2} - π/3`\)

\(Therefore, the exact area of the surface is `π/3 * (5e^2 + 2)^{3/2} - π/3`.\)

Therefore, option D is the correct answer.

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Given curve is `y = sqrt(1 + e^x)` for `0 ≤ x ≤ 1`. We need to find the area of the surface obtained by rotating this curve about the x-axis.

The formula to find the area of the surface obtained by rotating a curve

`y = f(x)` about the x-axis from x = a` to `x = b` is given by:

`A = 2π∫[a,b] f(x)√(1 + (f'(x))^2) dx

`where `f'(x)` is the derivative of `f(x)` with respect to `x`.

Here, `f(x) = sqrt(1 + e^x)`.

Differentiating `f(x)` with respect to `x`,

we get:`

       f'(x) = (1/2)(1 + e^x)^(-1/2)(e^x)`

Putting `f(x)` and `f'(x)` in the formula,

we get:`  

A = 2π∫[0,1] sqrt(1 + e^x)√(1 + (1/4)(1 + e^x)^(-1)(e^x)^2) dx``

A = 2π∫[0,1] sqrt(1 + e^x)√((1 + e^x)/4 + 1/4) dx``

A = π∫[0,1] 2sqrt(1 + e^x)(1 + e^x) dx``

A = 2π∫[0,1] sqrt(1 + e^x)(1 + e^x) dx`

Let `u = 1 + e^x` then `du/dx = e^x` and `dx = du/e^x`.

Putting `u = 1 + e^x`,

we get `e^x = u - 1`

Substituting these values in the integral,

we get:`A = 2π∫[1, e] sqrt(u) du`

Evaluating the integral,

we get:`A = 2π(2/3)(e^(3/2) - 1)`

Therefore, the exact area of the surface obtained by rotating the curve `

y = sqrt(1 + e^x)` about the x-axis from `x = 0` to `x = 1` is `2π(2/3)(e^(3/2) - 1)`.

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Answer:

17/3

5.6

5 1/3

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

To find the area, you must multiply the width and the length. 14 times 8 is 112.

4 square units will be the area of the largest rectangle.

Given,

First, let's build a rectangle ABCD, where A is the point at the bottom right corner and B,C, and D are the points designated in accordance with A.

Now,

Let A = (p, 0)

B = (-p, 0)

C = (-p, 3 - p²)

D = (p, 3 - p²)

Then the area of rectangle is given as: BA×AD

= 2p × 3 - p²

A = 6p - 2p³

Taking the derivative with respect to p, we have

A' = 6 - 6p²

Now,

A' =0

⇒ 6 - 6p² = 0

⇒ 6p² = 6

⇒ p² = 1

Since, we have to find the greater area, therefore we will take p = 1.

Now, substituting the value of p in (A), we have

Greater area = A= 6 - 2 x 1 = 4 square units

Therefore,

The  area of the largest rectangle should be 4 square units.

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Question is incomplete. Completed question is given below;

What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2?

Answer:

x < 4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 4/(-1).

The coefficient of x^14 in this product to find the number of ways to select the 14 balls under the given constraints.

To solve this problem using generating functions, we can first consider the number of ways to select any number of blue balls between 3 and 10. Let B(x) be the generating function for the number of ways to select blue balls. Then:

B(x) = (x^3 + x^4 + ... + x^10) / (1 - x)^100

The denominator (1-x)^100 represents the total number of ways to select any 14 balls from the jar, without any restrictions on the number of blue balls. The numerator (x^3 + x^4 + ... + x^10) represents the number of ways to select between 3 and 10 blue balls.

To find the total number of ways to select 14 balls with the given restriction, we need to subtract from the total number of ways the number of ways to select fewer than 3 blue balls and the number of ways to select more than 10 blue balls. Let R(x) be the generating function for the number of ways to select red and green balls:

R(x) = (1 + x + x^2)^200

Then the generating function for the total number of ways is:

G(x) = (B(x) * R(x)) / (1 - x)^100

To find the coefficient of x^14 in G(x), we can expand the numerator as a product of power series and multiply by the denominator, then extract the coefficient of x^14. This is a bit tedious, but we can use a computer algebra system or a spreadsheet to do the calculations.

The final answer is the coefficient of x^14 in G(x), which represents the number of ways to select 14 balls from the jar with the given restriction.

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The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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Answer:

Since the line is not filled in it has to be greater than or less than it cannot be equal to so x<-1.

The given function is y = 1/x. We need to use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width).

Given Function: y = 1/x Number of Subintervals: 6Width of Subinterval: (b-a)/n = (5-1)/6 = 4/6 = 2/3For Lower Sum, we take the minimum value of each subinterval and sum them up.

Lower Sum: ∑ i=1^n f(x_i*)Δx=∑ i=1^n f(a+iΔx)ΔxNow,

we calculate the Lower Sum: ∑ i=1^6 f(x_i*)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3(i+1))=0.903

For Upper Sum, we take the maximum value of each subinterval and sum them up.

Upper Sum: ∑ i=1^n f(x_i**)Δx=∑ i=1^n f(a+(i-1)Δx)ΔxNow,

we calculate the Upper Sum: ∑ i=1^6 f(x_i**)Δx=∑ i=1^6 f(1+i(2/3))2/3=∑ i=1^6 2/(3i)=1.361

Hence, the Lower Sum of the given function is 0.903 and the Upper Sum is 1.361.

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The equivalent value of the expression is x = 65

Given data ,

The equation is represented by the letter A , where

By substituting the values in the equation, we obtain the value of A as

5x + 1 + 5x - 1 - 650 = 0

Taking the similar terms of the expression:

10x - 650 = 0

Adding 650 to both sides:

10x = 650

Dividing both sides by 10:

x = 65

Hence , the expression is x = 65

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Answer:

y=1/5x-24/5

Step-by-step explanation:

y-(-5)=1/5(x-(-1))

y+5=1/5x+1/5

-5            -5

y=1/5x+1/5-5

y=1/5x+1/5-25/5

y=1/5x-24/5

Answer:

380g

Step-by-step explanation:

hope this answer will help u

The weight of basic kit is 73.33 g and weight of Designer kit 146.68 g.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

let the weight of basic kit be x and weight of designer kit be y.

The weight of 2 basic kites and 2 designer kites are 400g.

and, the weight of 4 basic kites and 1 designer kites are 440g.

So, the system of equation is

2x + 2y = 400.............(1)

4x + y = 440

y = 440 - 4x.............(2)

Solving equation (1) and (2), we get

2x + 2(440 - 4x) = 400

2x + 880 - 8x = 400

-6x = -440

x = 73.33

and, y= 440 - 4(73.33)

y = 146.68

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It's be a line that crosses the y-axis at (0,7) and has a slope of -3 or -3/1.

A 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies is (7.44, 72.56).

We have given that,

Sample mean of peoples who like drama , x₁-bar = 190

Sample mean of peoples who like comedy,x₂-bar = 150

Sample size for darama sample, n₁ = 17

Sample size for comedy sample, n₂ = 14

Standard deviations, s₁ = 60

Standard deviations, s₂ = 30

Confidence level = 0.95 or 95%

Using Z-table , Z-score for 95% confidence level is 1.96..

We have to calculate a 95% confidence interval for the difference in mean revenue at the box office for drama and comedy movies.

It is given by following Confidence interval formula,

x₁-bar - x₂-bar ± Z ( √(s₁²/n₁ + s₂²/n₂))

= 190 - 150 ± 1.96(√(60²/17 + 30²/14))

= 40 ± 1.96(√3600/17 + 900/14))

= 40 ± 32.56

= (7.44, 72.56)

Hence, the required 95% confidence interval is

(7.44, 72.56) .

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Complete question:

A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory. the studio randomy selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for. each movie. The results of the survey are as follows. Assurne that the population variances are approximately equal, Calculate a

95%

confidence interval for the difference in mean revenue at the box office for drama and comedy movies: Let dramas be Population-1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places