In classification analysis, we are determining the probability of an observation ________.

Answers

Answer 1

In classification analysis, we are determining the probability of an observation belonging to a specific class.

Classification analysis is a machine learning technique used to predict the class or category to which an observation belongs. The goal is to assign a probability to each possible class, indicating the likelihood of the observation belonging to that class. This is typically done by training a classification model on a labeled dataset, where the classes are known for a set of observations. The model learns patterns and relationships from the training data and then uses that knowledge to predict the class of new, unseen observations. The predicted probabilities can be used to make informed decisions, such as determining the most likely class for a given observation or setting a threshold for making binary decisions.

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Related Questions

Tyler orders a meal that costs $15 A) If the tax rate is 6.6%, how much will sales tax be on Tyler's meal? B) Tyler also wants to keave a tip for the server. How much do you think he should pay in all?

Answers

B well tip is 10% so do 15 times 10 + 15 and that will be your answer for b

Answer:

.99

18.99

Step-by-step explanation:

The answer to the first one is o.99 bc you would change 6.6% to a decimal and that would be 0.066 then you would add one to it and multiply it by 15 so the equation would look like this 1.066*15=0.99

The answer to the second one is 18.99 bc you would add 20% to 6.6% to get 26.6% and then you would change that into a decimal and add one to it to get 1.266 then multiply it by 15 to get 18.99

7+3 express as a difference

Answers

Answer:

7-(-3)

Step-by-step explanation:

-(-3)=3

Let r and s be the usual generators for the dihedral group of order 8...
Part a)
list the elements of D8 as 1,r,r^2,r^3,s,sr,sr^2,sr^3 and label these with the integers
1,2,...,8 respectively. Exhibit the image of each element of D8 under the left regular representation of D8 into S8....

Answers

Each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

The elements of D8 are 1, r,\(r^2, r^3, s, sr, sr^2, sr^3,\) which we can label with the integers 1, 2, 3, 4, 5, 6, 7, 8 respectively. The left regular representation of D8 into S8 is given by:

1 → (1)(2)(3)(4)(5)(6)(7)(8)

r → (1 2 3 4)(5 6 7 8)

\(r^2\) → (1 3)(2 4)(5 7)(6 8)

\(r^3\)→ (1 4 3 2)(5 8 7 6)

s → (1 2)(3 4)(5 6)(7 8)

sr → (1 8 3 6)(2 7 4 5)

\(sr^2\)→ (1 4)(2 3)(5 8)(6 7)

\(sr^3\) → (1 6 3 8)(2 5 4 7)

Here, each element of D8 is mapped to a permutation of {1, 2, 3, 4, 5, 6, 7, 8} by considering its action on the labeled generators 1, 2, ..., 8 under composition.

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We have exhibited the image of each element of D8 under the left regular representation into S8, represented as a product of disjoint cycles.

The left regular representation of D8 is a homomorphism from D8 to the symmetric group S8, where each element of D8 is represented as a permutation of the set {1, 2, ..., 8}.

Using the generators r and s, we can construct the elements of D8 as follows:

\(r^0\) = 1

\(r^1\)= r

\(r^2\) = rr

\(r^3\) = rrr

\(s^0\)= 1

\(s^1\) = s

\(s^2\) = 1

\(s^3\) = ss

Now, let's apply the left regular representation to each element of D8:

1 → (1 2 3 4 5 6 7 8)

r → (1 2 3 4 5 6 7 8)(1 2)

\(r^2\) → (1 2 3 4 5 6 7 8)(1 3)(2 4)

\(r^3\)→ (1 2 3 4 5 6 7 8)(1 4 3 2)

s → (1 8)(2 7)(3 6)(4 5)

sr → (1 7 3 5)(2 8 4 6)

\(sr^2\) → (1 6 3 2)(4 7 5 8)

\(sr^3\) → (1 5)(2 6)(3 7)(4 8)

Note that we can represent each permutation as a product of disjoint cycles, where each cycle corresponds to an orbit under the action of the permutation. For example, the permutation corresponding to r is a product of two cycles: (1 2) and (3 4 5 6 7 8). This means that r fixes the elements 1 and 2, and permutes the elements 3, 4, 5, 6, 7, and 8 cyclically. Similarly, the permutation corresponding to s is a product of four cycles: (1 8), (2 7), (3 6), and (4 5), which means that s fixes the pairs (1, 8), (2, 7), (3, 6), and (4, 5), and transposes each pair.

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BRAINLIEST!!
10 POINTS!! PLZ HELP !!!!
PLEASE ANSWER STEP BY STEP
WILL MARK AS THE BRAINLIEST IF ITS THE CORRECT ANSWER

58.
Find the median of following data :
973, 927, 946, 975, 923, 912,909, 899, 998, 856, 894, 943, 916, 958​

Answers

Answer:

910.5

Step-by-step explanation:

Since median is the middle number and there are two of them remaining. You take those two remaining numbers add them then you divide by two.

912+909

=1821

=1821÷2

=910.5

Answer:

925

Step-by-step explanation:

You arrange the numbers from the smallest to the largest.

856,894,899,909,912,916,923,927,943,946,958,973,975,998.

Eliminate a number from the starting point and consecutively eliminate from the last point. Do this continuously.

You will be left with 923 and 927.

Add the two numbers then divide by 2.

due last weeeekk help!!!!

due last weeeekk help!!!!

Answers

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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A rewritable compact disc must have less than 20 songs on it. Write and graph
an inequality to describe how many songs can be on the disc.

Answers

The inequality that describes the number of songs that can be on the disc is given as follows:

n < 20.

The graph, composed by the numbers to the left of n = 20, is given by the image presented at the end of the answer.

What are the inequality symbols?

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.

A rewritable compact disc must have less than 20 songs on it, hence the inequality is given as follows:

n < 20.

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A rewritable compact disc must have less than 20 songs on it. Write and graphan inequality to describe

Julie has two bags of grapes. One weighs 5/8 pound and the ther weighs 1/4 pound. What is the difference in the two bags of grapes?

Answers

Answer:

one bag is heavier and the other is lighter.

Step-by-step explanation:

5/8 = more than half a pound

1/4 = less than half a pound

Answer:

3/8

Step-by-step explanation:

You have to make 1/4's denominator match the denominator of 5/8.

By multiplying it by 2.

1/4 =2/8

You then subtract 2/8 into 5/8 to get 3/8

Kevin and Susan are playing tag. Kevin is 3 feet to the left of base. Susan is 4 feet to the right of base. How far apart are Kevin and Susan?

Answers

First, let's draw the situation to have a better understanding of the question:

As we can see in the figure, since they are on opposite sides of the base, the distance from one another is given by the sum of their distances to the base:

distance=3 feet +4 feet = 7 feet

Then, Kevin and Susan are 7 feet apart

Kevin and Susan are playing tag. Kevin is 3 feet to the left of base. Susan is 4 feet to the right of

least to greatest 4/5,-1.4, 0.75, -21/3,21%​

Answers

Answer:

-21/3 < -1/4 < 21% < 0.75 < 4/5

Step-by-step explanation:

Answer ASAP



All of the following have the same value except _____.

9 + (-6)
6 - 9
9 - 6
-6 - (-9)

Answers

Answer:

All of the following have the same value except 6-9.

Step-by-step explanation:

9+(-6)=POSITIVE 3

9-6=POSITIVE 3

-6-(-9)=POSITIVE 3

6-9=NEGATIVE 3

Hope this Helps

<

Answer:

-6-(-9)

Step-by-step explanation:

Household Income (thousands)
38
45
76
93
50
54
29
44
62
31
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the
nearest tenth)?

Answers

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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I need help!!!!!!!!!!!!!!1

I need help!!!!!!!!!!!!!!1

Answers

Answer:

∠2 = 125°

Step-by-step explanation:

∠1 and ∠2 form a straight angle of 180° (∠3 and ∠4 aswell)

∠1 = 3, because they are cross angles (3 and 4 aswell)

We can write an equation according to this and find y:

(8y - 9)° = (6y + 7)°

8y - 6y = 7 + 9

2y = 16 / : 2

y = 8

∠1 = 8 × 8 - 9 = 55°

∠2 = 180° - 55° = 125°

∠3 =∠1 = 6 × 8 + 7 = 55°

∠4 = 180° - 55° = 125°

Which measure of centre is meaningful when the data are qualitative?
A. The range
B. The mean
C. The mode
D. The median

Answers

The correct answer is C. The Mode.

What is data in math?

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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50 points and BRAINLIST

50 points and BRAINLIST

Answers

Step-by-step explanation:

The answer is 10 percent

Step-by-step explanation:

10% is the answer of this questions

What interval consists of all $u$ such that neither $2u$ nor $-20u$ is in the interval $(-\infty,-1)$ ?

Answers

Answer:

[-1/2,1/20]

Step-by-step explanation:

Answer:

[-1/2,1/20]

Step-by-step explanation:

In terms of inequalities, we are asked to find all $u$ such that $2u\ge -1$ and $-20u\ge -1$.

The solution to the first inequality, obtained by dividing both sides by $2$, is $u\ge -\frac{1}{2}$.

We can solve the second inequality by dividing both sides by $-20$, but because we are dividing by a negative number, we must reverse the direction of the inequality: $u\le \frac{1}{20}$.

The set of $u$ which satisfy both inequalities simultaneously is thus $\boxed{\left[-\frac{1}{2},\frac{1}{20}\right]}$.

Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 124.8 volts, and use a class width of 0.2 volts. Does the result appear to have a normal distribution? Why or why not

Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency

Answers

The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.

what is normal distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster near the middle of the range and the remaining ones decrease symmetrically toward one of the extremes.

Maximum Value=121.9

Number of classes=5 (say)

Range=121.1-121.9=0.8

Minimum Value= 121.1

width of each class= 0.8 / 5 = 0.16 = 0.2 (approx)

Therefore, we must create classes so that the first class has the minimum value and the last class contains the highest value. The class interval will therefore be 121.1 - 121.3, 121.3 - 121.5, and so on with a class width of 0.2 volt.

Voltage (volts) Frequency

121.1 - 121.3             2

121.3 - 121.5                 5

121.5 - 121.7             10

121.7 - 121.9              6

121.9 - 122.1                  2

The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.

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please answer fast pls .................​

please answer fast pls .................

Answers

Answer:

A

Step-by-step explanation:

Kunal      Sagar

12              10         -6 years before is 6:5

18             16          -Now

22            20         - 4 years in the future at 11:10

So it all works out :)

In a class of 25 students, 6 are female and 8 have an A in the class. There are 13
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?

Answers

The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

How to determine the probability?

The given parameters are:

Students = 25Female = 6Students with A = 8Male students without A = 13

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

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Simplify: \sqrt{25x^4}

Answers

The simplified expression of √(25x^4) is 5x^2

How to simplify the expression?

The statement is given as:

Simplify: \sqrt{25x^4}

Rewrite properly as:

Simplify: √(25x^4)

Split the radical

√(25x^4) = √(25) * √(x^4)

Take the square root of 25

√(25x^4) = 5 * √(x^4)

Take the square root of x^4

√(25x^4) = 5 * x^2

Evaluate the product

√(25x^4) = 5x^2

Hence, the simplified expression of √(25x^4) is 5x^2

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+Ready
Practice Write and Solve Mulo-Step Equations-Quid-Level
Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.
The perimeter of the quadrilateral is 40 inches.
Write an equation that represents
the situation.
+
9
3
7
40
11
7
9
9

Answers

The equation that represents the situation is q = 40 - 7

How to determine the perimeter

The formula for the perimeter of a quadrilateral is expressed as;

P = a + b + c + d

Where the sides, a , b , c and d are all the sides of the quadrilateral

From the information given, we have that;

The sides are a, the fourth is 7

The perimeter = 40 inches

Substitute the values

40 = 7 + q

collect the like terms, we get

q = 40 - 7

subtract the values

q = 33 inches

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The scale in the drawing is 2 in:4 ft. What are the length and width of the actual room? * What is the area of the actual room described above? *

Answers

The area of the room is 392 ft
The length is 28ft
And the width is 14ft

find f(x) based on the following information: f′′(x)=2x2−x with f′(2)=163 and f(1)=3.

Answers

The function f(x) = (1/3)x³ - (1/2)x² - (199/6)x + (211/6).

How to find f(x) given f′′(x)=2x2−x, f′(2)=163 and f(1)=3?

To find f(x) based on the given information, we can use integration.

Given that f′′(x) = 2x² - x, integrating once gives:

f′(x) = (2/3)x³ - (1/2)x² + C₁

where C₁ is a constant of integration.

Using the given information that f′(2) = 163, we have:

f′(2) = (2/3)2³ - (1/2)2² + C₁ = 8/3 - 2 + C₁ = 163

Solving for C₁, we get:

C₁ = 163 + 2 - 8/3 = 521/3

Substituting this value of C₁, we get:

f′(x) = (2/3)x³ - (1/2)x²+ 521/3

Integrating f′(x) once more, we get:

f(x) = (1/2)x⁴ - (1/6)x³ + (521/3)x + C₂

where C₂ is a constant of integration.

Using the given information that f(1) = 3, we have:

f(1) = (1/2)1⁴ - (1/6)1³ + (521/3)1 + C₂ = 3

Solving for C₂, we get:

C₂ = 3 - (1/2) + (1/6) - (521/3) = -169/3

Substituting this value of C₂, we get the final expression for f(x):

f(x) = (1/2)x⁴ - (1/6)x³ + (521/3)x - 169/3

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Mr. Smith started the school year with 26 students in his class. If x students moved out of his class, which expression represents the number of students left in the class?
Please help

Answers

Answer:

26-x

Step-by-step explanation:

we don't know how many has moved out so we use x to represent that. Obviously for example if he had 5 leave his class we would do 26-5.

4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you

4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you
4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you

Answers

Using a quadratic function, it is found that:

a) The coordinates of the second x-intercept are: (50,0).

b) The vertex shows the maximum flight of the projectile.

c) The coordinates of the vertex are (25, 62).

3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.

Quadratic function

A quadratic function has two x-intercepts, x' and x'', and is defined as follows:

y = a(x - x')(x - x'').

The intercepts are given as follows:

First x-intercept: coordinates (0,0), as the fruit is thrown from the ground.Second x-intercept: coordinates (50,0), as the fruit travels a distance of 50 feet to hit the ground.

The vertex is found as follows:

x-coordinate of 25, which is the mean of the two intercepts.y-coordinate of 62, which is the maximum height.

Hence the coordinates are: (25, 62).

The equation can be defined as follows:

y = ax(x - 50)

y = a(x² - 50x).

When x = 25, y = 62, hence the leading coefficient is found as follows:

62 = a(25² - 50(25))

-625a = 62

a = -62/625

a = -0.0992.

Hence the equation is:

y = -0.0992(x² - 50x).

The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.

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4.7.4 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you

17) Sixty (60%) of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number have very little confidence in newspapers is a) Exactly 5 b)less an 4

Answers

a) The probability of exactly 5 out of 10 U.S. adults having very little confidence in newspapers is approximately 0.2005.

b) The probability of less than 4 out of 10 U.S. adults having very little confidence in newspapers is approximately 0.0329.

a) To calculate the probability of exactly 5 out of 10 U.S. adults having very little confidence in newspapers, we used the binomial probability formula and obtained a value of approximately 0.2005. This means there is a 20.05% chance of exactly 5 individuals having very little confidence in newspapers.

b) To calculate the probability of less than 4 out of 10 U.S. adults having very little confidence in newspapers, we found the individual probabilities for 0, 1, 2, and 3 successes and summed them up. The resulting probability is approximately 0.0329, indicating a 3.29% chance of fewer than 4 individuals having very little confidence in newspapers.

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Martin is building a fence around his rectangular garden. He has a 100 foot long roll of fencing he can use. The width of the garden is 10 feet

Answers

Answer:

Step-by-step explanation:

To find out how much of the 100 foot roll of fencing Martin will need to enclose the garden, you need to calculate the perimeter of the rectangular garden.

The perimeter is the total distance around the garden. To find the perimeter, you add up the lengths of all four sides of the rectangle.

The formula for the perimeter of a rectangle is: P = 2L + 2W

Where P is the perimeter, L is the length, and W is the width.

In this case:

P = 2 x 10 feet + 2 x 100 feet = 20 feet + 200 feet = 220 feet

Martin will need 220 feet of fencing to enclose his rectangular garden.

Find the trigonometric form of the complex number. Hint: Graph the complex number first to give yourself a visual representation.

Find the trigonometric form of the complex number. Hint: Graph the complex number first to give yourself

Answers

First, let's graph the complex number:

The trigonometric form will be given by:

\(-2-2i=r(\cos \theta+i\sin \theta)\)

The angle θ here is 225° (5π/4), the r-value will be

\(\begin{gathered} r=\sqrt[]{(-2)^2+(-2)^2} \\ \\ r=\sqrt[]{4+4} \\ \\ r=\sqrt[]{8}=2\, \sqrt[]{2} \end{gathered}\)

Now we have the trigonometric representation:

\(-2-2i=2\, \sqrt{2}\mleft(\cos \mleft(\frac{5\pi}{4}\mright)+i\sin \mleft(\frac{5\pi}{4}\mright)\mright)\)

Therefore the correct answer is the letter D.

Find the trigonometric form of the complex number. Hint: Graph the complex number first to give yourself

For a project in her Geometry class, Nicole uses a mirror on the ground to measure the height of her school's football goalpost. She walks a distance of 9.65 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. She then walks 4.95 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.65 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.

Answers

Height of the goalpost is 3.21 m.

What is mean by Multiplication?

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Now, We know that;

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

Hence, As we can see in the picture attached, both the angles (θ) are equal.

m ∠ACB = m ∠ECD = 90° - θ

m ∠ABC = m ∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

AB / ED = CB / CD

1.65 / ED = 4.95 / 9.65

15.92 = 4.95 ED

ED = 3.21 m

Thus, Height of the goalpost is 3.21 m.

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For a project in her Geometry class, Nicole uses a mirror on the ground to measure the height of her

A microwave costs $89, with a $17 full-replacement warranty. If the manufacturer sells 475,360 warranties and has to honor 7.5% of them, how much profit did the manufacturer make from the warranties? a. $3,779,112 b. $7,475,036 c. $4,908,092 d. $8,687,204

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Answer: they make 808,112 dollars off of warranties

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Answer:

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $28.4, and the standard deviation is known to be $6.6. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.56

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To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

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