14 yd
38 yd
Find the perimeter and the area

Median is 84,  variance is 88.36, standard deviation is approximately 9.40 To compute the requested statistical measures, let's start with the given data: 92.97, 85, 84, 61, 75, 79, 89, 85

Median The median is the middle value when the data is arranged in ascending order. To find the median, we first sort the data: 61, 75, 79, 84, 85, 85, 89, 92.97

Since we have 8 data points, the middle value is the 4th one, which is 84. Therefore, the median is 84. Variance Variance measures the spread or dispersion of the data points. To calculate the variance, we follow these steps:

Find the mean (average) of the data: Mean = (92.97 + 85 + 84 + 61 + 75 + 79 + 89 + 85) / 8 = 80.99625 Calculate the difference between each data point and the mean: \((92.97 - 80.99625)^2, (85 - 80.99625)^2, (84 - 80.99625)^2, (61 - 80.99625)^2, (75 - 80.99625)^2, (79 - 80.99625)^2, (89 - 80.99625)^2, (85 - 80.99625)^2\)

Calculate the sum of the squared differences: Sum = (92.97 - \(80.99625)^2 + (85 - 80.99625)^2 + (84 - 80.99625)^2 + (61 - 80.99625)^2 + (75 - 80.99625)^2 + (79 - 80.99625)^2 + (89 - 80.99625)^2 + (85 - 80.99625)^2 = 706.912329\)

Divide the sum by the number of data points (n) to get the variance: Variance = Sum / n = 706.912329 / 8 = 88.36404113 (rounded to two decimal places) Therefore, the variance is 88.36.

The standard deviation is the square root of the variance and provides a measure of the dispersion of the data. To calculate the standard deviation, we take the square root of the variance obtained in Question 5:

Standard Deviation = √(Variance) = √(88.36404113) = 9.3961744 (rounded to two decimal places) Therefore, the standard deviation is approximately 9.40.

In summary, the median of the given data is 84, the variance is 88.36, and the standard deviation is approximately 9.40.

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Answer:

20 tables

Step-by-step explanation:

200 guests, 10 guests per table. You need to divide 200 people into groups of ten. Therefore, you should form the equation 200/10. The answer would be 20.

Answer:

Required tables = \(200 \div 10 = \bf\: 20 \: tables\)

The function that is graphed below is y = |x + 1|.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).

The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.

When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.

This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.

When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.

This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.

The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.

The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.

Thus,

The function that is graphed below is y = |x + 1|.

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Answer:

B) Inside the nucleus of an atom are protons and electrons.

Explanation:

Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.

Answer: A) Independent

Step-by-step explanation:

Mutually exclusive: the two actions don't happen at the same time; they are not dependent on each other

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

Its A, because a filled in circles means equal to and the arrow is going to the negatives because its less than 15.

The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh where SA is the surface area, l is the length, w is the width, and h is the height of the rectangular prism.

Each term in the formula represents the area of one of the six faces of the rectangular prism. The rectangular prism has two congruent faces of length l and width w, which have an area of lw, so the term 2lw represents the area of these two faces. Similarly, there are two congruent faces of length l and height h, which have an area of lh, so the term 2lh represents the area of these two faces. Finally, there are two congruent faces of width w and height h, which have an area of wh, so the term 2wh represents the area of these two faces.Therefore, the formula for the surface area of a rectangular prism is simply the sum of the areas of all six faces.

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There are 191 different 8-bit strings that either begin with 1 or end with 11. To determine the number of 8-bit strings that begin with 1 or end with 11:

we can break down the problem into two separate cases and then sum up the results.

Case 1: 8-bit strings that begin with 1

In this case, the first bit is fixed as 1. The remaining 7 bits can be either 0 or 1, giving us 2^7 = 128 possible combinations.

Case 2: 8-bit strings that end with 11

In this case, the last two bits are fixed as 11. The remaining 6 bits can be either 0 or 1, giving us 2^6 = 64 possible combinations.

Now, we need to consider the intersection of these two cases, which represents the 8-bit strings that both begin with 1 and end with 11. Since the first bit is fixed as 1 and the last two bits are fixed as 11, there are no remaining bits that can vary. Therefore, there is only one possible combination in this intersection.

To find the total number of 8-bit strings that either begin with 1 or end with 11, we sum up the results from the two cases and subtract the intersection:

Total = Case 1 + Case 2 - Intersection

= 128 + 64 - 1

= 191

Therefore, there are 191 different 8-bit strings that either begin with 1 or end with 11.

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Answer:

D. $5.00 because when you look at the graph each hour five dollars is being added

Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.

They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.

As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.

It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.

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Answer:

x = 9/4

Step-by-step explanation:

Solve for x.  Start by adding 6x to both sides, which results in 3 + 4x = 12.

Combine the constants, obtaining 4x = 9.

Dividing both sides by 4, we get x = 9/4.

Answer:

x=

mixed number form: 2 1/4

decimal form: 2.25

exact form: 9/4

The angular area of the HST's field of view is 25 square degrees.

The field of view is the extent of the sky that the Hubble Space Telescope (HST) can observe at a given time. It is usually measured in degrees.

To calculate the angular area, we can use the formula for the area of a circle:

Area = π * (angular size/2)^2

Where π is a mathematical constant approximately equal to 3.14, and the angular size is in degrees.

Let's say the angular size of the HST's field of view is 10 degrees.

First, we divide the angular size by 2:

10 degrees / 2 = 5 degrees

Next, we square the result:

5 degrees * 5 degrees = 25 square degrees

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The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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To calculate the average total cost for producing 82 gaskets, we need to know the total cost incurred in the production process. Let's assume the total cost is $6,000.

The average total cost per gasket can be found by dividing the total cost by the number of gaskets produced. In this case, the total cost is $6,000 and the number of gaskets produced is 82.

Average Total Cost = Total Cost / Number of Gaskets

So, Average Total Cost = $6,000 / 82 ≈ $73.17. Rounded to the nearest hundredth, the average total cost per gasket is $73.17. This means that, on average, it costs approximately $73.17 to produce each gasket when a total of 82 gaskets are produced.

The average total cost includes all the expenses incurred in the production process, such as raw materials, labor costs, overhead costs, and any other associated costs. By dividing the total cost by the number of gaskets, we obtain the average cost per gasket, representing the average expenditure for each unit. It's important to note that the actual average total cost may vary based on various factors such as economies of scale, production efficiency, and fluctuations in input prices. This calculation provides an estimate based on the given information, but actual production costs may differ.

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The denominator of the formula for the variance of a sample is given as follows:

N - 1.

A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:

Fraction = x/y.

The terms are named as follows:

The formula for the variance of a sample is given as follows:

\(s^2 = \frac{sum (X - \overbar{X})^2}{N - 1}\)

Hence the denominator is the bottom term, which is of N - 1.

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a.)The 95% Confidence interval for the average difference between the reading and writing scores of all students is 0.545 ± 1.232.

b.) Since independent random samples are chosen from a population that is roughly typical

The number of degrees of freedom with an unknown standard deviation is n-2.

c.)The null hypothesis could not be rejected because the aforementioned interval contains zero. 

Using a confidence interval does not show conclusive proof that there is a genuine difference in the average results .

Therefore there is no real  difference in the average scores.

Z = X  +- 1.96 ( SD/ √n  )

= 0.545 ± 1.96 × 8.887

√2000.545 plus or minus 1.96 times 8.887 over the square root of 200

= 0.545 ± 1.232

Out of 100 samples, the population mean would range between -0.687 and 1.777 on average in 95 of them.

explanation for part b,

n = 7, CL = 90%

df= 7-2=5t*=1.476(one tail),

2.015(both tails)

n = 26, CL = 98%

df= 26-2=23t*=2.177(right tail),

2.5(both tail)

n = 28, CL = 95%

df=28-2=26t*=1.706(one tail),

2.056(both tail)

n = 11, CL = 99%

df= 11-2=9t*=2.821 (one tail),

3.250(both tail)

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he need 1000 grams of all

Answer:

x= -14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

g(x)=x-4

g(x)=10 = g(x)=x-4 /+4

g(x)=14

$8,300.63 in capital is needed to earn $20,200.00 in total over the course of 13 years at a compound interest rate of 6.9% per year, compounded four times annually.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole amounts.

Here,

First, convert R as a percent to r as a decimal

r = R/100

r = 6.9/100

r = 0.069 per year,

Then, solve the equation for P

P = A / (1 + r/n)^nt

P = 20,200.00 / (1 + 0.069/4)^(4)*(13)

P = 20,200.00 / (1 + 0.01725)^(52)

P = $8,300.63

To obtain a total of $20,200.00 with compound interest at a rate of 6.9% per year compounded four times per year for 13 years, the initial primary investment needed is $8,300.63.

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Answer:

Step-by-step explanation:

If 12x - 8 equals 20, then x equals 2.33. To find our answer, we must isolate the term with the variable.

Answer and Explanation:

use pemdas

Answer:

96x - 160

Step-by-step explanation:

So we start with 8(12x - 20).

In order to find the answer, we take the 8 and multiply it by both numbers:

8 x 12x = 96x.

8 x -20 = -160.

Now, we arrange it into the right order to get:

96x - 160

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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The function represents the distance when he uses g gallons on a highway.

The given function is:

If we want to find how far does all drives if he uses 4 gallons of gas, we need to replace g=4.

Then:

Hence, he will be 120 miles away if he uses 4 gallons of gas.

Answer:

The equation is y=2x+4.hope it's solved

Answer:

We can start by drawing a diagram of the triangle ABC:

      A

     / \

    /   \

   /     \

  /       \

 /         \

B ----------- C

We know that angle A is 30 degrees and angle C is 120 degrees, so angle B must be:

angle B = 180 - angle A - angle C

= 180 - 30 - 120

= 30 degrees

Now we can use the sine function to find the length of the perpendicular from B to AC produced. Let's call this length x:

sin(angle B) = perpendicular / hypotenuse

sin(30) = x / 20

We can solve for x by multiplying both sides by 20 and taking the sine of 30:

x = 20 sin(30)

x = 20 (1/2)

x = 10

Therefore, the length of the perpendicular from B upon AC produced is 10 feet.

Step-by-step explanation:

The sampling error or sampling variability is the discrepancy between the sample and group norms.

Among the most frequent kinds of sampling mistakes is sampling prejudice. When the sample's participants are not indicative of the general community, it happens. A poll has sampling bias if it only includes respondents from one region of the nation and does not include respondents from the other regions.

For instance, the mother, kids, or the complete family could be the populace in a poll on breakfast cereals. Selection Error: Occurs when respondents self-select their involvement in the poll, suggesting that only the people who are eager are participating.

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