The graph of circle about the triangle is shown in figure.
Since, We knw that;
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
To circumscribe a circle about the triangle.
Now, We can graph the circle as shown in figure.
Which is circumscribe a circle about the triangle.
Thus, The correct figure is shown in figure.
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Help, pls i need this
SHOW WORK
Aye help out real quickk
130/200 = .65 or 65%
Answer: 65%
Step-by-step explanation:
Car A went 60 km in 5/6 of an hour, while car B went 54 km in 2/3 of an hour.Which car was faster? How many times faster?
Car B travels faster than Car A.
We have,
Car A went 60 km in 5/6 of an hour, while car B went 54 km in 2/3 of an hour.
Car A:
Speed = Distance/ time
speed = 60/ (5/6)
speed = 60x 6/5
speed = 72 Km/h
Car B:
Speed = Distance/ time
speed = 54/ (2/3)
speed = 54 x 3/2
speed = 81 Km/h
Thus, Car B travels faster than Car A.
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Suppose A and B are sets. Describe the conditions under which the following statement would be true. AUB = A
The statement AUB = A is true if and only if set B is a subset of set A.
Describe the conditions for AUB = A.To see why this is the case, we can use the definition of set union. Recall that AUB is the set of all elements that belong to either A or B (or both). So, if AUB = A, every element in B must also be in A (since all elements in AUB are also in A). Therefore, B is a subset of A.
In summary, AUB = A is true if and only if every element in B is also in A, which means that B is a subset of A.
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Need the answer it’s simple
Answer:
oh my cant see the question what is it saying?
Step-by-step explanation:
-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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199. Binary Tree Right Side View
Given a binary tree, imagine yourself standing on the right side of it, return the values of the nodes you can see ordered from top to bottom.
For example:
Given the following binary tree,
1 <---
/ \
2 3 <---
\ \
5 4 <---
You should return [1, 3, 4].
The problem requires finding the values of the nodes on the right side of a binary tree, ordered from top to bottom. We can solve this problem by performing a level-order traversal of the binary tree and keeping track of the rightmost node at each level. We only add the rightmost node to the result list for each level.
To solve this problem, we can perform a level-order traversal of the binary tree and keep track of the rightmost node at each level. We can use a queue to traverse the tree level by level, starting with the root node. For each level, we only add the rightmost node to the result.
Here's the Python code to implement this approach:
```
from collections import deque
def rightSideView(root):
if not root:
return []
result = []
queue = deque([root])
while queue:
level_size = len(queue)
for i in range(level_size):
node = queue.popleft()
# Only add the rightmost node to the result
if i == level_size - 1:
result.append(node.val)
# Add the child nodes to the queue
if node.left:
queue.append(node.left)
if node.right:
queue.append(node.right)
return result
```
We first handle the case where the root is None, in which case we return an empty list. We then initialize an empty list `result` to store the values of the rightmost nodes and a queue `queue` to perform the level-order traversal.
We begin by adding the root node to the queue. We then enter a loop that continues until the queue is empty. In each iteration of the loop, we first get the number of nodes in the current level by taking the length of the queue. We then iterate through the nodes in the current level and remove them from the queue using `popleft()`.
For each node, we check if it is the rightmost node in the current level (i.e., its index is equal to the level size minus one). If it is, we add its value to the result list. We then add the child nodes of the current node to the queue if they exist.
Finally, we return the result list containing the values of the rightmost nodes in the binary tree.
For example, for the binary tree given in the prompt, the function `rightSideView(root)` will return [1, 3, 4].
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What values would you enter into the One Proportion applet to run an analysis for Jerry?
To run a one-proportion hypothesis test for Jerry using the One Proportion applet, we would need to enter sample size, hypothesized proportion and number of successes.
To run a one-proportion hypothesis test for Jerry using the One Proportion applet, we would need to enter the following values:
-The sample size (n) - the number of participants in Jerry's study.
-The number of successes (x) - the number of participants who showed a preference for the new product in Jerry's study.
-The hypothesized proportion (p0) - the proportion of participants who are expected to show a preference for the new product based on the null hypothesis. This value is typically set to the proportion stated in the null hypothesis.
The significance level (alpha) - the level of significance used to determine the critical value and p-value for the test. This value is typically set to 0.05.
Once these values are entered into the One Proportion applet, we can run the analysis and obtain the test statistic (z-score), the critical value, and the p-value. We can then compare the p-value to the significance level to determine whether to reject or fail to reject the null hypothesis.
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__________ refer to the probabilities of the states of nature after revising the prior probabilities based on sample information.
The probabilities of the states of nature after revising the prior probabilities based on sample information are called posterior probabilities.
The concept of posterior probabilities is fundamental in Bayesian statistics, which is a branch of statistics that deals with probability distributions of parameters based on prior knowledge and observed data. In Bayesian statistics, the prior probability represents the degree of belief in a hypothesis before new data is collected. The posterior probability, on the other hand, represents the updated degree of belief in the hypothesis after new data is collected.
The posterior probability is calculated using Bayes' theorem, which relates the conditional probabilities of the hypothesis and the data. The formula for Bayes' theorem is:
posterior probability = (prior probability x likelihood) / evid
The likelihood represents the probability of observing the data given the hypothesis, while the evidence is a normalizing constant that ensures the posterior probability integrates to one.
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In the Diagram to the right GKNM ~ VRPT
Find the value of X. Give the scale factor of the left polygon to the right polygon
X=
The scale factor of GKNM to VRPT is _:_
Answer:
x = 3.6The scale factor of GKNM to VRPT is 4 : 3.Step-by-step explanation:
If polygon GKNM is similar to polygon VRPT, then the corresponding sides are in the same ratio. Therefore:
[tex]GK : VR = KN : RP = NM : PT = GM : VT[/tex]
Substitute the values and expressions of each side into the ratio:
[tex]8.4 : 6.3 = (3x - 2) : (x + 3) = 4 : 3 = 4 : 3[/tex]
To find the value of x, we can use KN : RP = NM : PT.
[tex]\begin{aligned}KN : RP &= NM : PT\\\\(3x - 2) : (x + 3) &= 4 : 3\\\\\dfrac{3x - 2}{x + 3} &= \dfrac{4}{3}\end{aligned}[/tex]
Cross-multiply and solve for x:
[tex]\begin{aligned}\dfrac{3x - 2}{x + 3} &= \dfrac{4}{3}\\\\3(3x-2)&=4(x+3)\\\\9x-6&=4x+12\\\\5x&=18\\\\x&=3.6\end{aligned}[/tex]
Therefore, the value of x is x = 3.6.
The scale factor of GKNM to VRPT is the ratio of the corresponding sides.
[tex]\textsf{Scale factor}= NM : PT = 4 : 3[/tex]
Therefore, the scale factor of GKNM to VRPT is 4 : 3.
PLEASE HELP!!! 50 POINTS!!
The line plot below represents the number of letters written to overseas pen pals by the students at Waverly Middle School.
Each x represents 10 students. How many students wrote more than 6 and fewer than 12 letters?
Answer:
Step-by-step explanation:
Choose the symbol that makes the statement true. 1,217 ___ 700 + 417
The symbol ">" would make the statement true:
1,217 > 700 + 417
The statement "1,217 ___ 700 + 417" is asking us to choose a symbol that represents the relationship between the two values: 1,217 and 700 + 417.
The expression 700 + 417 represents the sum of two numbers: 700 and 417. Evaluating this expression gives us 1,117. So, the statement is essentially asking us to compare the value 1,217 to 1,117 using a symbol that represents the relationship between them.
In this case, we need to choose a symbol that represents "greater than", because 1,217 is greater than 1,117. The symbol ">" is commonly used to represent "greater than", so we can write:
1,217 > 700 + 417
This statement is true because 1,217 is indeed greater than 1,117.
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FILL IN THE BLANK. A distinct group of objects without regard to their arrangement is called a​ _______.
A distinct group of objects without regard to their arrangement is called a set. A set is a collection of distinct objects, called elements or members, that are enclosed within curly braces { }. Sets can contain any type of object, such as numbers, letters, symbols, or even other sets.
The elements of a set are not arranged in any particular order and each element appears only once in a set.Sets are used in various fields of mathematics and computer science. They are the building blocks for other mathematical structures, such as functions, relations, and graphs. Sets are also used to define and study mathematical concepts such as cardinality, intersection, union, complement, and power sets.
In computer science, sets are used to represent data structures, such as arrays, hash tables, and trees. They are used to store and manipulate data efficiently, and to perform operations such as search, insert, delete, and sort. Sets are also used in database systems, where they represent collections of records that satisfy certain criteria.
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XYZ Corp. has filled 100,000 purchase orders during its existence. 1,100 of the purchase orders have had errors. Using an empirical probability, the probability of the next purchase order having an error is __________ (round your answer to three decimal places and enter as a probability not a percentage)"
Using an empirical probability, the probability of the next purchase order having an error is 0.011, or 1.1%
To find the empirical probability of the next purchase order having an error at XYZ Corp.,
- Determine the total number of purchase orders: 100,000
-Identify the number of purchase orders with errors: 1,100
-Calculate the probability by dividing the number of errors by the total number of purchase orders.
-So, the probability of the next purchase order having an error is:
[tex]\frac{1100}{100000} = 0.011[/tex]
-Rounding to three decimal places, the empirical probability is 0.011, or 1.1% as a percentage.
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sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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Rectangle ABCD has consecutive vertices
A(3, 1), B(3, 7). C(6, 7), and D(6, 1). (Lesson 4)
A. What are the lengths of the sides of the
rectangle?
B. What is the perimeter of the rectangle?
The side lengths are 6 units by 3 units and the perimeter is 18 units
What are the lengths of the sides of the rectangle?From the question, we have the following parameters that can be used in our computation:
Rectangle ABCD has consecutive vertices
A(3, 1), B(3, 7). C(6, 7), and D(6, 1).
The lengths of the rectangles are
AB, BC. CD and DA
Since the vertices share the same x or y coordinate, then we have
AB = 7 - 1 = 6
BC = 6 - 3 = 3
So, the side lengths are 6 units by 3 units
What is the perimeter of the rectangle?This is calculated as
P = sum of the side lengyhs
So, we have
P =2 * (6 + 3)
Evaluate
P = 18
Hence, the perimeter is 18 units
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| x | < 4 and x is an integer. Find the smallest possible value of x
The lowest integer value of x that fulfills the given inequality is -3.
If |x| < 4, then we know that x must be between -4 and 4, but not including -4 and 4.
Since x is also an integer, the smallest possible value of x that satisfies this condition is -3.
To see why, consider that the next smallest integer after -3 is -4, which is not allowed since it violates the inequality |x| < 4. Similarly, the next smallest integer before -3 is -5, which is also not allowed.
Therefore, -3 is the smallest possible value of x that satisfies the given inequality and is an integer.
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What is the answer please help
The total area of the shape is 169.5 ft²
What is the total area of the shape?We can decompose this in 3 rectangles.
One of the rectangles has a width of 8ft and a height of 5ft + 4ft + 4ft = 13ft, then its area is:
A = 8ft*13ft = 103 ft²
The second rectangle, the one at the rigth side, has a width of 7ft and a height of 5ft, thus the area is:
A' = 5ft*7ft = 35ft²
The middle rectangle has a heigth of 5ft + 4ft = 9ft and a width of:
W = 18.5ft - 8ft - 7ft = 3.5ft
Then the area is:
A'' = 3.5ft*9ft = 31.5 ft²
The total area is:
area = A + A' + A'' = 103 ft² + 35ft² + 31.5 ft²
area = 169.5 ft²
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An insurance company is insuring a person's coin collection worth $20,000 for an annual premium of $300. If the company figures that the probability of the collection being stolen is 0.002, what will be the insurance company's expected profit
The insurance company's expected profit from insuring this person's coin collection is $260.
The insurance company's expected profit can be calculated using the terms: coin collection value, annual premium, and probability of theft. In this case, the coin collection is worth $20,000, the annual premium is $300, and the probability of theft is 0.002.
To find the expected profit, we first need to determine the expected loss, which is the product of the coin collection value and the probability of theft: $20,000 x 0.002 = $40. This means that, on average, the company expects to pay out $40 per year for potential theft claims.
Next, we compare the expected loss to the annual premium. The insurance company collects $300 from the policyholder each year as the annual premium. To find the expected profit, we subtract the expected loss from the annual premium: $300 - $40 = $260.
Therefore, the insurance company's expected profit for insuring the coin collection is $260 per year. This calculation assumes that the probability of theft remains constant and does not account for other factors, such as administrative expenses or changes in the collection's value.
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It takes Carrie 585858 minutes to get home. If Carrie leaves for home at 1{:}321:321, colon, 32, what time will she arrive?
Carrie will arrive at home at 4:02 PM on the same day she leaves.
To determine the time Carrie will arrive, we need to add the number of minutes it takes her to get home to her departure time.
Carrie leaves for home at 1:32 PM. To convert this time to minutes, we multiply the hours (1) by 60 and add the minutes (32). This gives us a total of 92 minutes.
Next, we add the 58,858 minutes it takes Carrie to get home to the departure time of 92 minutes:
92 minutes + 58,858 minutes = 58,950 minutes.
Now, we need to convert the total minutes back to hours and minutes. Since there are 60 minutes in an hour, we divide 58,950 by 60:
58,950 minutes ÷ 60 = 982.5 hours.
The decimal part represents the remaining minutes. To convert this decimal to minutes, we multiply it by 60:
0.5 (decimal part) × 60 = 30 minutes.
Therefore, Carrie will arrive at 982 hours and 30 minutes after her departure time.
To convert this back to a 12-hour clock format, we divide 982 by 12, which gives us a quotient of 81 with a remainder of 2. This means Carrie will arrive 81 days after her departure time, with an additional 2 hours and 30 minutes.
As for the exact time she will arrive on the day she leaves, we need to add the 2 hours and 30 minutes to her departure time:
1:32 PM + 2 hours and 30 minutes = 3:62 PM.
However, since we are using a 12-hour clock format, we need to adjust the time to the correct format:
3:62 PM can be rewritten as 4:02 PM.
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What is the value of the expression 2344+835
The expression 2344 + 835 has a value of 3179 when evaluated because it is the result of adding the numbers
Evaluating the expression 2344+835From the question, we have the following parameters that can be used in our computation:
2344 + 835
The above statement is a summation expression that adds the values of 2344 and 835
Also, there is a need to check if there are like terms in the expression or not
This is because we are adding the terms
So, we have
2344 + 835 = 3179
This means that the value of the expression is 3179 i.e the result of adding the numbers
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Random sampling error is defined as the extent to which a sample statistic differs from a population parameter by
Random sampling error is defined as the extent to which a sample statistic differs from a population parameter by chance.
What is random sampling?Random sampling is the type of sampling method that gives all the members of a population an equal chance of being chosen.
A random sampling error is defined as the extent to which a sample statistic differs from a population parameter by chance.
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24. A computer system is advertised with a 14-inch monitor. The measurement of the monitor is along the diagonal of the screen. The height of the monitor screen is 9 inches. What is the width of the monitor screen?
The width of the monitor screen = 10.72 inches.
Given that,
Width of monitor = 14 in
Height of screen = 9 in
Use Pythagorean theorem to determine the width of the monitor screen.
According to the Pythagorean theorem:
14² = 9² + w²
⇒ 196 = 81 + w²
⇒ w = 115
When both sides are squared,
⇒ w = 10.72 inches
Hence width = 10.72 inches.
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Today is the Harperville Fall for Fun festival, and Naomi is volunteering at the balloon stand. When she practiced last night, Naomi made 6 balloon animals in 12 minutes. Naomi is signed up for a 60-minute slot at the balloon stand
Naomi can make 30 balloon animals during her 60-minute slot at the balloon stand.
If Naomi can make 6 balloon animals in 12 minutes, we can calculate her average rate of making balloon animals as:
6 balloon animals / 12 minutes = 0.5 balloon animals per minute
Since Naomi is signed up for a 60-minute slot at the balloon stand, we can multiply her average rate by the duration to find out how many balloon animals she can make in that time:
0.5 balloon animals per minute * 60 minutes = 30 balloon animals
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I need the answers please
Evaluating the functions we will get the complete table:
x f(x) g(x)
0 2 1
1 5 7
2 25 16
3 125 29
4 625 46
5 3,125 67
How to complete the table?To do so, we just need to evaluate the functions in the given values. The functions are:
g(x) = 5^x
f(x) = 2 + 3x + 2x^2
Evaluating them we will get.
when x = 1
g(1) = 5^1 = 5
f(1) = 2 + 3*1 + 2*1^2 = 7
when x = 2
g(2) = 5^2 = 25
f(2) = 2 + 3*2 + 2*2^2 = 16
when x = 3
g(3) = 5^3 = 125
f(1) = 2 + 3*3 + 2*3^2 = 29
when x = 4
g(4) = 5^4 = 625
f(4) = 2 + 3*4 + 2*4^2 = 46
when x = 5
g(5) = 5^5 = 3,125
f(5) = 2 + 3*5 + 2*5^2 = 67
Then the complete table is:
x f(x) g(x)
0 2 1
1 5 7
2 25 16
3 125 29
4 625 46
5 3,125 67
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Which expression is equivalent to the following? x+3/x-4+4x/x+6
The equivalent expression is (5x^2 - 7x + 18)/[(x - 4)(x + 6)].
To simplify the given expression, we need to combine the terms with a common denominator. The given expression is:
(x + 3)/(x - 4) + (4x)/(x + 6)
To combine these fractions, we need to find the common denominator, which is (x - 4)(x + 6). We can rewrite the expression using the common denominator:
[(x + 3)(x + 6)]/[(x - 4)(x + 6)] + [(4x)(x - 4)]/[(x - 4)(x + 6)]
Now we can add the fractions:
[(x^2 + 9x + 18) + (4x^2 - 16x)]/[(x - 4)(x + 6)]
Combining like terms in the numerator:
(5x^2 - 7x + 18)/[(x - 4)(x + 6)]
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In a 2x3x2x2 ANOVA _______________________.
a. 4 dependent variables are tested.
b. there are 24 treatment combinations.
c. there are 24 levels
d. the person analyzing the data would have to be hospitalized for exhaustion after completing the project.
B. There are 24 treatment combinations in a 2x3x2x2 ANOVA. This design has four factors, each with two, three, two, and two levels, respectively.
The number of treatment combinations is found by multiplying the number of levels for each factor together: 2 x 3 x 2 x 2 = 24. A 2x3x2x2 ANOVA does not necessarily test four dependent variables, and the number of levels refers to the total number of unique combinations of the factors.
While analyzing data for a study of this size can be time-consuming and require careful attention to detail, it should not result in hospitalization for exhaustion.
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From his eye, which stands 1.59 meters above the ground, Francisco measures the angle of elevation to the top of a prominent skyscraper to be 32
∘
∘
. If he is standing at a horizontal distance of 376 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
The height of the skyscraper is approximately 214.5 meters.
We have,
We can use the tangent function to solve this problem.
Let h be the height of the skyscraper.
Then we have:
tan(32∘) = h / 376
Multiplying both sides by 376, we get:
h = 376 x tan(32∘)
h ≈ 214.5 meters
Therefore,
The height of the skyscraper is approximately 214.5 meters.
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Which of he following is the solution to the differential equation dy/dx= 5y^2 with the initial condition y(0)= 3?
A. y= square root of 9e^5x
B. y= square root of 1/9e^5x
C. y= square root of e^5x+9
D. y= 3/1-15x
E. 3/1+15x
None of the above option is the correct answer. The correct answer is option f.
To solve this differential equation, we separate the variables and integrate both sides with respect to their respective variables:
[tex]dy/dx = 5y^2dy/y^2 = 5dx[/tex]
Integrating both sides:
[tex]∫dy/y^2 = ∫5dx[/tex]
-1/y = 5x + C
where C is a constant of integration.
Using the initial condition y(0) = 3, we can solve for C:
-1/3 = 5(0) + C
C = -1/3
Substituting the value of C in the equation above, we get:
-1/y = 5x - 1/3
Solving for y, we have:
y = -1 / (5x - 1/3)
Therefore, the solution to the differential equation with the initial condition y(0) = 3 is y = -1 / (5x - 1/3), which is equivalent to:
y = -1 / (15x - 1)
Hence, the answer is none of the given options. The correct answer is option f.
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Complete question
Which of he following is the solution to the differential equation dy/dx= 5y^2 with the initial condition y(0)= 3?
A. y= square root of 9e^5x
B. y= square root of 1/9e^5x
C. y= square root of e^5x+9
D. y= 3/1-15x
E. 3/1+15x
F. none of the above
Suppose ACT Mathematics scores are normally distributed with a mean of 21.321.3 and a standard deviation of 5.35.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition
The minimum score required for a letter of recognition is approximately 28.1 (rounded to one decimal place).
The minimal rating required for a letter of recognition, we want to locate the rating that corresponds to the pinnacle 11% of the distribution.
The z-score that corresponds to the pinnacle 11% of the distribution.
A trendy everyday distribution desk or calculator to discover this value:
P(Z > z) = 0.11
From the table, we discover that the z-score that corresponds to a cumulative likelihood of 0.11 is about 1.22.
Next, we can use the formulation for standardizing a score:
z = (x - μ) / σ
Rearranging this formula, we can remedy for x:
x = z × σ + μ
Substituting the values given in the problem, we get:
x = 1.22 × 5.3 + 21.3
x = 28.066
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