What is the value of x?

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Complete Question

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Answer:

The length of a training track running around the field is  \(Z = 377.54 \ m\)

Step-by-step explanation:

From the question we are told that

      The length of the field is  \(L= 93 \ m\)

       The width of the field is  \(W = 61 \ m\)

The length of the two semicircle is mathematically evaluated as

          \(A = 2 * \pi * \frac{W}{2}\)

substituting values

          \(A = 2 *3.142 * \frac{61}{2}\)

         \(A = 191.54 \ m\)

Now the length of a training track running around the field is

       \(Z = A + 2 L\)

  substituting values

       \(Z = 191.54 + 2 (93)\)

       \(Z = 377.54 \ m\)

Answer:

3

Step-by-step explanation:

3 is larger than 2

Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Answer:

Spanish.

Step-by-step explanation:

It is the language Spanish but the word is in spanish hahahahahah.

Answer:

9 pounds

that's the answer

The sample's standard deviation is equal to 12. Thus, choice B is the right choice.

The variance of a sample of 144 observations equals 576.

Variance S² = 144

The standard deviation is a measure of how spread out a set of data is. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The standard deviation can be used to measure the amount of variation or dispersion of a set of data values from the mean.

Standard Deviation = √Variance

Standard Deviation = √144

Standard Deviation = 12

The standard deviation of the sample equals 12. So the option B is correct.

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The complete question is:

The variance of a sample of 144 observations equals 576. The standard deviation of the sample equals:

A. 441

B. 12

C. 63,504

D. 21

The first three terms of the sequence Tₙ = n^2 - 2n - 6 are -7, -8, and 0, and the sequence is a quadratic sequence with a parabolic graph that opens upward.

To find the first three terms of the sequence Tₙ = n^2 - 2n - 6, we simply need to substitute the first three positive integers for n, which gives us:

T₁ = 1^2 - 2(1) - 6 = -7

T₂ = 2^2 - 2(2) - 6 = -8

T₃ = 3^2 - 2(3) - 6 = 0

Therefore, the first three terms of the sequence are -7, -8, and 0.

The sequence Tₙ is a quadratic sequence, which means that it has a second-order difference. In other words, the differences between the terms of the sequence form a linear sequence.

Specifically, the first differences are 2, 4, 6, 8, and so on, which form an arithmetic sequence with a common difference of 2. The second differences are all equal to 2, which confirms that the sequence is quadratic.

The graph of the sequence Tₙ is a parabola that opens upward, with a vertex at (1, -7). This means that the sequence starts with a negative term, then decreases until it reaches a minimum at n = 1, and then increases indefinitely.

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Answer:

Step-by-step explanation:

Sin(57) = 7/x

0.84 = 7/x

x0.84 = 7

x= 8.33 <- The Value for Hypotenuse

Tan(57) = 7/y

1.54 = 7/y

y1.54 = 7

y= 4.5454 < The value for Adjancent

Answer:

p = 6

Step-by-step explanation:

\((x^{2})(x^{2})^{2}\)

\((x^{2}) ^{2}\) is \(x^{2*2}\)

The equation is now \((x^{2} )(x^{4})\)

add the two exponents together 2 + 4

the final answer is \(x^{6}\)

Answer:

-2x

Step-by-step explanation:

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

(i) The probability that 20 red bikes arrive within an hour can be calculated using the Poisson distribution formula. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 200 * 0.05 = 10 bikes per hour (since 5% of the bikes are red). Therefore, the probability P(X=20) can be calculated as:

P(X=20) =  (e^{(-λ)} * λ²⁰) / 20!, where λ is the rate, which is 10 in this case.

Plugging in the values, we get:

P(X=20) = (e⁽⁻¹⁰⁾ * 10²⁰) / 20! ≈ 0.117

(ii) The probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours can be calculated as the product of the probabilities of these two events occurring independently.

Using the same approach as in part (i), the probability P(X=20) is 0.117.

Let Y be the number of bikes (of any color) arriving within three hours, which follows a Poisson distribution with a rate of 200 * 3 = 600 bikes. Therefore, the probability P(Y=500) can be calculated as:

P(Y=500) = (e^{(-λ)} * λ⁵⁰⁰⁰) / 500!, where λ is the rate, which is 600 in this case.

Plugging in the values, we get:

P(Y=500) = (e⁽⁻⁶⁰⁰⁰⁾ * 600⁽⁻⁵⁰⁰⁾) / 500! ≈ 0 (approximately zero, as the rate is high).

So, the probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours is approximately zero, as the event of 500 bikes arriving within three hours is highly unlikely.

(iii) Given that 20 red bikes arrived within an hour, the expected total number of bikes that arrived within this hour can be calculated as the sum of the expected number of red bikes and the expected number of bikes of other colors.

The expected number of red bikes is simply the rate of red bikes, which is 10 bikes per hour.

The expected number of bikes of other colors can be calculated by subtracting the expected number of red bikes from the total rate, which is 200 bikes per hour:

Expected number of bikes of other colors = 200 - 10 = 190 bikes per hour.

So, the expected total number of bikes that arrived within this hour is 10 + 190 = 200 bikes.

(iv) Given that 150 bikes arrived within an hour, we can use the concept of conditional probability to calculate the probability that exactly 10 out of them were red. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 10 bikes per hour (since 5% of the bikes are red). Therefore, the conditional probability P(X=10 | 150 bikes arrived within an hour) can be calculated as:

P(X=10 | 150 bikes arrived within an hour) = P(X=10 and 150 bikes arrived within an hour) / P(150 bikes arrived within an hour)

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

For P(X=10 and 150 bikes arrived within an hour), we can use the Poisson distribution formula with a rate of 10 bikes and a time interval of 1 hour:

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If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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Answer:

1. 6 2. 3

Step-by-step explanation:

If you look at the y axis, the line crosses the 6 and the 3, sorry I can't really explain this much better

A) The person that has a greater probability of selecting a quadrilateral is Robert.

B) The person that has a greater probability of selecting a polygon is; Robert.

C) The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

Sandy has; Square, Rhombus, Equilateral Triangle, Regular Hexagon

Robert has Scalene Triangle, Kite, Right Isosceles Triangle, Isosceles Trapezoid, Quadrilateral.

A) Sandy's probability of selecting a quadrilateral = 2/4 = 0.5

Robert's probability of selecting a quadrilateral = 3/5 = 0.6

The person that has a greater probability of selecting a quadrilateral is Robert

B) The person that has a greater probability of selecting a polygon is; Robert because he has more.

C) Probability of Sandy selecting a polygon with at least 2 sides parallel is; 3/4 = 0.75

The Probability of Robert selecting a polygon with at least 2 sides parallel is; 2/5 = 0.4

The event that is more likely to happen is the Probability of Sandy selecting a polygon with at least 2 sides parallel.

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Answer:

first choice in the image.

numerator: 12

denominator: 30

Step-by-step explanation:

"Name the numerator and denominator of the fraction that represents the number of trucks that he has loaded out of the total needing to be loaded"

so numerator = "number of trucks that he has loaded"

and denominator = "total needing to be loaded"

Joaquin was asked to load 30 trucks today. So his/her total would be 30.

thus the denominator is 30.

Joaquin has finished loading 12 already, which means he/she has loaded 12. so, the numerator is 12.

Answer:

(B) If you take a very large sample of the times the repair person is scheduled to arrive, the person will be on time approximately 65% of the time.

Is correct

ED2021

Probability is the chance of an event to occur from a total number of outcomes.

The correct interpretation of this probability can be:

If you take a very large sample of the times the repair person is scheduled to arrive, the person will be on time approximately 65% of the time.

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The probability that an appliance repair person arrives within the window of time scheduled by the company is 0.65.

This means,

The probability that an appliance repair person will arrive at the scheduled time.

= 0.65

= 65/100

This can also be interpreted as out of 100 times 65 times will be on time.

We see that,

The correct interpretation of this probability can be:

If you take a very large sample of the times the repair person is scheduled to arrive, the person will be on time approximately 65% of the time.

Thus,

The correct interpretation of this probability can be:

If you take a very large sample of the times the repair person is scheduled to arrive, the person will be on time approximately 65% of the time.

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Answer:

$200,583,320.

Step-by-step explanation:

welcome

Answer:

20 cents for 1oz

Step-by-step explanation:

find the rate

1.6/8=0.2

so 20 cents

Answer:

1 in 1191

Step-by-step explanation:

because if 9 tickets have been given away you would have to subtract that from the 1200 which is 1191

In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.

In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.

The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.

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Answer: 60 shirts.

Step-by-step explanation: Camila: 40/hr Evelyn: 20/hr

20 + 40 = 60

Answer: 180 = 30 + (x + 60)

Step-by-step explanation: Supplementary means that the angles add together to 180 degrees. This equations shows that angle A (30 degrees) plus angle B (x + 60) equal 180. If you solve the equation you will find that angle B is equal to 150 degrees, and that x = 90.

Builder can build 7 one bedroom houses and 5 two bedroom houses.

What is consistent Equation?

A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.

According to Question,

Total number of houses is 12 i.e. x + y = 12..........(i)

Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,

6x + 9y = 88 ..................(ii)

From Equation (i) and (ii), we get

x = 7 and y = 5

Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.

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Answer:

6

Step-by-step explanation:

The absolute value function always returns a positive value, that is

| a | = | - a | = a

Given

b(x) = | x + 4 | , then

b(- 10) = | - 10 + 4 | = | - 6 | = 6

One major difference in the style Shakespeare uses for Lady Macbeth's sleepwalking scene is the use of prose instead of verse. He does this to emphasize her confusion and disorientation, as well as create a sense of tension in the scene.

Shakespeare uses text rather than verse for Lady Macbeth's sleepwalking episode, which is a significant departure from his usual usage of verse. In addition to heightening the tension in the moment, he does this to highlight her confusion and disorientation.

Shakespeare uses prose to represent Lady Macbeth's disturbed mental state and her inability to express her thoughts coherently. In contrast, Macbeth speaks in verse throughout the play, expressing his thoughts in a logical and articulate manner. This contrast serves to further highlight Lady Macbeth's mental state and to illustrate the dramatic change in her character following the murder of Duncan.

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Answer: 0000

Step-by-step explanation: