The percentile rank of a core of 71 in the given test is 26.67% and the score of Viktor for the 60th percentile is 85.
How to calculate the percentile rank and the percentile?The formula for calculating the percentile rank of a set of data is
percentile rank for 'x' = (number of data values below 'x')/total number of data values × 100 i.e., Percentile rank = n/N × 100.
The formula for calculating the percentile is
percentile = rank × total number of data values
Where rank = percentile ÷ 100
Calculation:A teacher recorded unit 4 test scores from her class.
The scores data is as follows:
58, 64, 68, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96
So, the total number of data values N = 15
The percentile rank for a score of 71 on this test is
The number of data values below score 71 is n = 4
Then,
Percentile Rank = n/N × 100 = 4/15 × 100 = 26.67%
Viktor's score, when he is in the 60th percentile is
percentile = rank × 15
Rank = 60 ÷ 100 = 0.6
⇒ percentile = 0.6 × 15 = 9
The data value after 9 positions from the left to right in the data set is 85. So, the score in the 60th percentile is below 85.
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1. The Fibonacci sequence In the 13th century, the Italian mathematician Leonardo Fibonacci-as a way to explain the geometic growth of a population of rabbits-devised a mathematical sequence that now bears his name. The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two. Thus, the first several terms in the Fibonacci sequence look like this: Fib(0) = 0 Fib(1) = 1 Fib(2) = 1 (0+1) Fib(3) = 2 (1+1) Fib(4)= 3 (1+2) Fib(5)=5 (2+3) Write a program that displays the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000. Thus, your program should produce the following numbers: 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 This program continues as long as the value of the term is less than the maximum value, so that the loop construct you need is a while, presumably with a header line that looks like this: while term
To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.
Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.
The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.
The first several terms in the Fibonacci sequence are:
Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.
This program continues as long as the value of the term is less than the maximum
The output is as follows:
```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```
The while loop could also be used to achieve the same goal.
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Which expression is represented by the model?O 4X-3O 4x+30 -4X-30 -4x+3
There are four x and 3 negative signs, it implies the answer is option A, 4x - 3
if+the+correlation+between+two+variables+is+.496,+how+much+of+the+variance+has+not+been+accounted+for?++a.+24.6%++b.+49.6%++c.+50.4%++d.+75.4%
The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.
If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.
A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.
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The polygons are similar but not necessarily drawn to scale.
If two polygons are similar, then they have the same shape but not necessarily the same size.
They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.
The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.
Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.
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Solve the following equation in the picture....thanks:)
The Verdicts on each value of u according to the given inequality are as follows; 11, 13 and 8.
What values ares solutions to the inequality; u ≤ 13?It follows from the task content that the values which are solutions to the inequality; u ≤ 13 are to identified.
To determine the solution of an inequality on a number line, the number line representation of such inequality is very pivotal.
Therefore, the inequality given; u ≤ 13 simply implies that; the solution set of u includes 13 and all numbers to the left of 13 on the number line.
Hence, by considering each of the given values of u; we have;
11 ≤ 13?; Yes.13 ≤ 13?; Yes.8 ≤ 13?; Yes.18 ≤ 13?; No.Ultimately, the solutions to the inequality among the answer choices are; 11, 13 and 8 respectively.
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Given f(x, y) 4 ln (y2-x). a. State the domain of the function. b. State the range of the function. c. Find fr. d. Find fry
(a). The domain of the function f(x, y) is all real numbers for both x and y such that y₂-x > 0. (b). The range of the function f(x, y) is all real numbers. (c). f(r) = 4 ln (r₂ - r). (d) . f(r, y) = 4 ln (y₂ - r).
This means that when both x and y are equal to r, the function becomes 4 ln (r₂ - r). This can be simplified to 4 ln (r₂ - r) = 4 ln r₂ - 4 ln r.
The domain of the function f(r, y) is all real numbers for both r and y such that y₂-r > 0. The range of the function is all real numbers.
To find f(r, y), we first substitute r for both x and y, giving us the expression 4 ln (r₂ - r). This expression can be simplified to 4 ln r₂ - 4 ln r.
Therefore, the domain of the function f(x, y) is all real numbers for both x and y such that y₂-x > 0, and the range of the function is all real numbers. To find f(r, y), we substitute r for both x and y and simplify the expression 4 ln (r₂ - r) to 4 ln r₂ - 4 ln r.
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A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)
Given:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
To find:
The expected number of times it land on Red if you spin this spinner 1000 times.
Solution:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,
\(n+3n+8n=240\)
\(12n=240\)
\(n=\dfrac{240}{12}\)
\(n=20\)
The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:
\(P(Red)=\dfrac{20}{240}\)
\(P(Red)=\dfrac{1}{12}\)
If you spin this spinner 1000 times, then the expected number of times to getting red is:
\(E(Red)=1000\times P(Red)\)
\(E(Red)=1000\times \dfrac{1}{12}\)
\(E(Red)=83.333...\)
\(E(Red)\approx 83\)
Therefore, the expected number of times to land on red is 83.
A local business has sold 5000 tickets to a raffle. Each ticket is numbered. The business randomly samples 10 tickets to win the same prize. They select the sample of winners using a random number generator to select 10 numbers from 1 to 5000. The sample of 10 prize winners is an example of what type of sampling scheme
The sample of 10 prize winners from the 5000 tickets in the raffle is an example of simple random sampling without replacement.
Simple random sampling involves randomly selecting individuals from a population in such a way that each individual has an equal chance of being chosen. In this case, the 5000 tickets represent the population, and the business uses a random number generator to select 10 tickets as the prize winners.
The "without replacement" aspect means that once a ticket is selected as a winner, it is removed from the pool of available tickets for subsequent selections. This ensures that each ticket can only win the prize once, maintaining the randomness and fairness of the selection process.
Simple random sampling without replacement is a common sampling scheme used in various contexts, including raffles, surveys, and statisticalresearch. It provides a representative subset of the population, allowing for generalizations and conclusions to be drawn about the larger population based on the characteristics of the sample.
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Help?? I could really use it
Answer:
16.5 m
Step-by-step explanation:
The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.
a² + b² = c²
a² + 32² = 36²
a² + 1024 = 1296
a² = 272
a = √272
a = 16.5
Answer: 16.5 m
To receive an A grade, a student must average 100 or less but more than 93. If Ethan received an A in the course and had five grades of 91, 89, 97, 86, and 100 before
taking the final exam, what were the possible grades for his final if there were 100 points possible? (Assume all six grades are weighted equally and let x represent the
unknown score.)
Using the mean concept, the possible grades for his final were grades greater than 98 and of at most 100.
What is the mean?The mean of a data-set is given by the sum of all observations of the data-set divided by the number of observations, which is also called the cardinality of the data-set.
In this problem, there are six grades, considering the final exam, given as follows:
91, 89, 97, 83, 100, x.
He earned an A, hence the mean is greater than 93, meaning that:
M = (91 + 89 + 97 + 83 + 100 + x)/6
93 = (91 + 89 + 97 + 83 + 100 + x)/6
460 + x = 558
x = 558 - 460
x = 98.
The maximum grade is of 100, hence possible grades for his final were grades greater than 98 and of at most 100.
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The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity. which formula represents h in terms of p, s, d, and g? A) h = p/s + dg B) h = p - s/dg C) h = ps - dg D) h = ps + dg
The formula which represents h in terms of p, s, d, and g is:
\(h=\frac{p-s}{dg}\)then the correct option is B.
Estimate a 25% tip on a bill of 68.37$ by first rounding the bill amount to the nearest ten dollars.
Answer:
20 dollar tip (rounded) assuming the bill is 68.37
Step-by-step explanation:
just multiply 68.37 by 0.25, and you get 17.09 or 20 dollars rounded to TENS place.
what is 1/4 times 1/4 times 1/4
Answer:
1/4 x 1/4 x 1/4
1/64
hope it helps
~Shoto Todoroki here~
Answer:
0.015625 or in fraction form: 1/64hope this helps :))
s squared minus y cubed
Answer:
s^2 - y^3 ........
Step-by-step explanation:
s^2 - y^3
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
HELP I WILL MARK U BRAINLIEST!!
Answer:
Y-7 is the answerr
Step-by-step explanation:
Because there's is a minus sign behind of the y
Please help this is due soon
Step-by-step explanation:
2.50 dollars i think
Hera are 4 fractions labelled A,B,C and D 3/4 5/6 16/25 9/15 A B C D Write them in order starting from the smallest
Answer: 9/15, 16/25, 3/4 and 5/6.
Step-by-step explanation:
From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:
3/4 = 3/4 × 100 = 75%
5/6 = 5/6 × 100 = 83.3%
16/25 = 16/25 × 100 = 64%
9/15 = 9/15 × 100 = 60%
From the above percentages, arranging the fractions from the smallest will be:
9/15, 16/25, 3/4 and 5/6.
Find the sum.
-6 2/3 + (-7 1/6)
Answer:
negative 83 over 6−
83
6
=negative 13 and 5 over 6− 13
5
6
≈negative 13.833−13.833
Step-by-step explanation:
Hope this helped if sooooooo PLEASE leave a GOOD rating!
THANKS <3
Answer:
-13 83/100
Step-by-step explanation:
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What is the reason for Statement 3 of the two-column proof?
O Linear Pair Postulate
O Angle Addition Postulate
O Definition of complementary angles
Definition of angle
k
Given: mzJMK = 52"
m2KML = 38
Prove: ZJML is a right angle.
Statements
1. m/JMK = 52"
2 m/KML = 38"
3.
M
m/JMK+m/KML = m/JML
4.52 +38 = m/JML
5.90 = m/JML
6 /JML is a right angle
Reasons
Given
Given
Substitution
Property of Equality
Simplification
Definition of right
angle
The measure of ∠JMK =52° and ∠KML = 38°.
Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.
To Prove: is a right angle.
Proof:
Statements Reasons
1. m∠JMK = 52° Given
2. m∠KML = 38° Given
3. m∠JMK + m∠KML = m∠JML
The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.
4. 52° + 38° =m∠JML Substitution property of equality
5. 90° = m∠JML Simplification
6. ∠JML is a right angle. Definition of right angle
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Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.
Answer:
simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month
Step-by-step explanation:
A three-centimeter cube has been painted red on all sides. it is cut into one centimeter cubes. how many cubes will be there with only one side painted red?
There will be only 6 cubes with only one side painted red.
Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.
According to the question
A 3 cm cube is divided into one centimeter cube.
Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.
Since there are 6 faces,
cubes painted one side red = 6x1=6.
Therefore , There will be only 6 cubes with only one side painted red.
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I hope you guys can help me with this question :)
The manager of a sport store wants a 25% markup on the selling price of nike baseball gloves in order to have a markup of $50. how much can the manager afford to pay for each baseball glove?
$116.67
$66.67
$150
$200
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of amount $50 and a 25% markup on the selling price.
$50 / 0.25 = $200
To calculate the cost of the Nike baseball gloves with a markup of 25% and a margin of $50, use the following formula:
Cost = (Price + Markup) / (1 + Markup Percentage)
Cost = ($50 + $50) / (1 + 0.25)
Cost = $100 / 1.25
Cost = $80
Therefore, the manager can afford to pay amount $80 for each baseball glove.
The manager of the sport store can afford to pay $80 for each Nike baseball glove in order to have a markup of $50 and a 25% markup on the selling price.
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what is the difference between -6 and 4
Answer:
4 is a positive number
Step-by-step explanation:
Answer:
-2 is the difference.Step-by-step explanation:
\(\rm\large\green{\underline{Given:-}}\)
Two number -6 and 4.\(\rm\large\green{\underline{To\:Find:}}\)
Difference -6 and 4.\(\Large\tt\bf\red{Required\:Solution:}\)
\(\boxed{- 6 - 4 = - 2}\)
Hence, Difference is the -2.─━─━─━─━─━─━─━─━─━─━─━─
which of the following is true about discounted reward? (choose all that apply.) for , maximizing for discounted reward boils down to greedily maximizing for the immediate reward. discounted reward is guaranteed to be finite when the maximum reward is finite. discounted reward can be unbounded when the maximum reward is finite. discounted reward converges to where is the minimum reward possible from any state.
Answer:
If the minimum reward is less than negative infinity, then the discounted reward can be unbounded.
Step-by-step explanation:
The following statements are true about discounted reward:
Maximizing for discounted reward does not always boil down to greedily maximizing for the immediate reward, since it takes into account the value of future rewards as well.
Discounted reward is guaranteed to be finite when the maximum reward is finite.
Discounted reward can be unbounded when the maximum reward is infinite.
Discounted reward converges to a finite value if the discount factor is less than 1 and the minimum reward possible from any state is greater than or equal to negative infinity.
However, if the minimum reward is less than negative infinity, then the discounted reward can be unbounded.
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Help please lol
A tree casts a shadow 30ft long. A 6ft man casts a shadow 15ft long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree
Step-by-step explanation:
exactly.
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
15 × f = 30
f = 30/15 = 2
and now the same factor applies also to the relation of the heights :
6 × 2 = 12 ft
the tree is 12 ft tall.
A turtle was crawling at the rate of 43 cm per minute. How many kilometers would this turtle crawl in one day (24 hours) if it did not rest and continued to crawl at a continuous pace?
Answer:
0.6192
Step-by-step explanation:
PLSSSS HELP WILL GIVE BRAINLIEST.When constructing an inscribed square, what step comes after both diameters of the circle have been created? Connect every other intersection of an arc and the circle with a segment. Connect the intersections of the diameters and the circle with a segment. Connect every intersection of an arc and the circle with a segment. Connect the midpoint of the radius to the endpoint of the diameter.
Answer:
B). Connect the intersections of the diameters and the circle with a segment.
Step-by-step explanation:
To construct an inscribed square:
1). Draw a circle using compass and label P as the center.
2). Draw a diameter using the ruler and label its endpoints as E and F.
3). Then we need to create a perpendicular bisector on the diameter.
4). Label the intersecting points of the bisector as G and H.
5). Now, we can connect the intersecetions of the diameters(E and F, G and H) and the circle using segment to complete the square.
Therefore, option B is the correct answer.
Can somebody help, please?
When calculating the composite shape's area, the value of x that is needed is: x = 3.
What is rectangle?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
What is area of rectangle?The area a two-dimensional form occupies in a plane is known as its area. It has a square unit of measurement. As a result, the rectangle's area is the space enclosed by its exterior lines. It is the same as the length times the width calculation.
The following is the rectangle's area formula:
Area = length*width
Thus;
Area of rectangle = 21x
Area of rectangle = 16 * 3x = 48x
Since the total area is 207 cm², then we have;
21x + 48x = 207
69x = 207
x = 207/69
x = 3
The value of x=3 is the answer which is required in question.
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