The third quartile of the given data set is 42.
What is third quartile?The third quartile (Q3, or the upper quartile) is the 75th percentile, meaning that 75% of the data falls below the third quartile.
Given is a data set, 20, 21, 24, 25, 28, 29, 35, 37, 42, 43, 44 we need to find the third quartile of the data set,
To find the third quartile we will use the given below formula,
Q3 = 3/4 (n+1)th term,
n = 11
Q3 = 3/4 (11+1)
Q3 = 3/4 x 12
Q3 = 9th term
= 42
Hence, the third quartile of the given data set is 42.
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1My little sister, Savannah, is three years old and has a piggy bank that she wants to fill. She
started with five pennies and each day when I come home from school, she is excited when I give her three pennies that are left over from my lunch money. How much money will Savannah have after 10 days? How many days will it take for her to have at least $1.50? Justify your answer with a mathematical model of the problem situation.
Answer:
Savannah will have 35 pennies after 10 days.
It will take her 49 days to have at least $1.50
Step-by-step explanation:
Start Value = .05
Linear Increase = .03
.05 + .03x = TV
TV = Total Value
10 days = .05 + .03(10)
10 days = $.35
.05 + .03x = 1.50
1.50 - .05 = 1.45
1.45/.03 = 48.33
48 days is not enough for her to have 1.50 as she is not gaining hourly but rather daily so it would take her 49 days to have at least 49
-10x/21+27/8>9x/10-27/23
Answer:
Answer on screen
Step-by-step explanation:
I hope everything is clear
What is the area of the smaller figure, in square centimeters?
04
08
O 20
O 40
Answer:
020
Step-by-step explanation:
I hope it will be helpful for u
I need help now!!!!
Problem 2 Got It? Reasoning: How can you prove ∠1 ≅ ∠2 ≅ ∠3 ≅ ∠4 without using the Vertical Angles Theorem? Explain in the response field.
Answer:
use the math skills 9+9+9
Step-by-step explanation:
$1 on the first friday. Each Friday after that, the payment will increase by 20% until the end of the school year or $50 every Friday
Plot the point and label it with its name.
1. A(0,0)
2. B (2,3)
3. C(-2,-3)
4. D(-5,0)
5. E(4,-4)
6. G(3,2)
7. H(-1,0)
8. /(-1,-5)
9. K(0,-4)
10. J(-4.5, 2.5)
Kylie swam 6 feet below sea level and Bryan swam 8 feet below sea level. Find the difference between the absolute values for each depth.
The difference between the absolute values of Kylie's and Bryan's depth is 2 feet.
Here, we are given that Kylie swam 6 feet below the sea level and Bryan swam 8 feet below sea level.
This implies,
Kylie's distance from the ground level = -6 feet
and Bryan's distance from the ground level = -8 feet
We need to find the difference between the absolute values of their depth.
Thus, we ignore the minus (-) sign and find the difference as follows-absolute difference = | 6 - 8 |
difference = 2 feet
Thus, the difference between the absolute values of their depth comes out to be 2 feet.
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The sum of three times x and y equal to 5
The sum of three and the product of x and y ia equal to 5
The product of three times x and y equal to 5
The product of three and the sum of x and y is equal to 5
Answer:
The sum of three and xy is equal to 5
or
The difference of xy and 3 is 5
Step-by-step explanation:
[tex]{ \tt{xy = 5 + 3}} \\ [/tex]
What is an integer number that is also a rational number 
Answer:
all integers are rational numbers
Karen is planning a graduation party for the senior class. She plans to rent a meeting room at the convention center that costs 400 . There is an additional fee of 5.50 for each person who attends the party.
d. If the senior class has raised 2000 for the party, how many people can attend?
Approximately 291 people can attend the party.
Given,
The rent of the meeting room at the convention center = 400
Additional fee for each person who attends the party = 5.50
The amount raised by the senior class for the party = 2000
Now we have to find the number of people can attend the party.
That is,
Amount raised by seniors – rent of meeting room = 2000 – 400 = 1600
Now,
The number of people can attend the party = (Amount raised by seniors – rent of meeting room) / additional fee for each person
= 1600 / 5.50
= 290.91
That is, approximately 291 people can attend the party.
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Which inequality is true?
Write a recursive definition and an explicit formula for each sequence. Then find a₁₂. 10,20,40,80,160, . . . .
Geometric Progression is a type of recursive mathematical sequence in which the next term is generated by multiplying the previous term with a fixed number that is called the Common Ratio represented by 'r'.It is calculated by the ratio of two consecutive terms.
The formula to calculate the 12th term of a Geometric Progression is :
=> [tex]a_{12} = a.r^{(12-1)}[/tex]
Here a = first term, r = common ratio calculated by => r=(a2/a1), and n = [tex]n^{th}[/tex] term to find
In the given question, First term a = 10, n = 12, and calculating r,
=> r = (a2/a1) => r = (20/10) = 2
Calculating,
[tex]a_{12\\} = (10).(2^{(12-1)})[/tex] => [tex](10).(2048)[/tex]
[tex]a_{12} = 20480[/tex]
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Compare and contrast the parallelogram and triangle methods of adding vectors.
The laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.
Triangle Law of Vector Addition
Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
Parallelogram Law of Vector Addition:
The Parallelogram law states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the length of the two diagonals.
Given,
Here we need to compare and contrast the law of parallelogram and triangle methods of adding vectors.
While we looking at the definition of the both law,
We have identified that both are performing the sum operation, but Triangle law is for two vectors when the second vector deviates from the direction of the first vector. Note here that second vector starts after the first vector.
Where as in parallelogram law, the two vectors start from the same initial point in two different directions.
So, the laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.
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State the property that justifies the following statement.
If 7(x-3)=35, then 35=7(x-3).
The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.
Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab
Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.
The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.
So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.
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Find x, y, z. EXPONENTS!! please hurry.
[tex]3^{9} . 2^{12} .5^{11}[/tex]
Power :
An expression that represents repeated multiplication of the same factor is called a power.
Factor: The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
the expression 5 x 5. This expression can be written in a shorter way using something called exponents.
5⋅5=5^2
An expression that represents repeated multiplication of the same factor is called a power.
The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
3 to the first power 3
4^2 4 to the second power or 4 squared 4 ∙ 4
5^3 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5
2^6 2 to the power of six
= [tex](3.5)^{4} (2.3)^{5} (2.5)^{7}[/tex]
= [tex]3^{4+5} .2^{5+7} .5^{4+7}[/tex]
=[tex]3^{9} . 2^{12} .5^{11}[/tex]
Ans : [tex]3^{9} . 2^{12} .5^{11}[/tex]
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Refer to ®R .
Identify a chord that is also a diameter.
A circle chord exists a straight line segment with both endpoints on a circular arc.
SU goes through the center, R, so SU is a diameter.
What is the difference between the diameter and chord of a circle?Any straight line segment that traverses a circle's center and has ends on the circle exists said to have that circle's diameter in geometric terms. It exists even comprehended as the longest chord of the circle. Both definitions apply to the diameter of a sphere.
The line segment joining any two points on a circle's circumference exists known as the chord. A circle's diameter exists described as the lengthiest chord that passes through its center.
A circle chord exists a straight line with circular arcs at both ends. A secant line, or simply secant, is the infinite line extension of a chord. A chord exists a segment of a line that connects two points on a curve, such as an ellipse.
SU goes through the center, R, so SU is a diameter.
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3. For this exercise, find the distance between the cities. Assume the earth is a sphere of radius 4,000mi and the cities are on the same meridian.
Answer:
Step-by-step explanation:
Length of an arc of a circle = rC where r = radius and r is the angle in radians
So, the answer is 4000(0.54+0.55)
= 3960 miles.
There are four integers in a set, and each integer must be no less than 1 and no greater than 36. The sum of the four integers in that set must be no less than 118 and no greater than 144. What are ALL of the possible number combinations that fit the criteria?
e.g. [tex]34+28+25+34=121[/tex]
The number combinations that fit the criteria will be 25 + 30 + 32 + 38.
How to calculate the numbers?It should be noted that the information illustrated that the sum of the four integers in that set must be no less than 118 and no greater than 144.
Therefore, the numbers that fit this will be:
= 25 + 30 + 32 + 38
= 125
Therefore, the number combinations that fit the criteria will be 25 + 30 + 32 + 38.
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Pls help me math pls help I’ll make you brainless
The difference between average call time on weekdays and average call time on weekends is 2.98 minutes.
Subtraction operation
What do I know?
Short call < 5.5 minutesAverage call time on weekdays = 6.4 minutesAverage call time on weekends = 9.38 minutesWhat do I need to know?
Difference between average call time on weekdays and average call time on weekendsWhat operations, drawings, expressions or formula will I use?
Subtraction operation will be used to determine the difference between average call time on weekdays and average call time on weekendsWork:
Difference between average call time on weekdays and average call time on weekends = Average call time on weekends - Average call time on weekdays
= 9.38 - 6.4
= 2.98 minutes
Writing:
The difference between average call time on weekdays and average call time on weekends can be found by subtracting average call time on weekdays from average call time on weekends.
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What word makes the statement "The domain and range of a(n) ___________ function is the set of all real numbers" sometimes true?
(F) polynomial
(G) logarithmic
(H) exponential
(I) quadratic
The word that makes given statement sometime true is: quadratic.
The correct answer is an option (I)
We know that, the domain of a function is the set of all possible values for which function is well defined.
And the range of a function is the set of all output values for given input.
We know that the domain of polynomial function is the set of all real numbers but the range of a polynomial function depends on the polynomial.
In case of a logarithmic function, the domain is the set of all non-negative numbers and the range is the set of all real numbers.
For exponential function, the domain of a function is the set of all real numbers and the range is all positive real numbers.
The domain as well as the range of a quadratic function is the set of all real numbers.
So the given statement would be, "The domain and range of a(n) quadratic function is the set of all real numbers."
Therefore, the word that makes given statement sometime true is: quadratic.
The correct answer is an option (I)
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If f(x)=x³- x²- x , what is the value of f(-3)?
A. -39
B. -33
C. -21
D. -15
E. -12
-33 is the value of f(-3) if the equation is If f(x)=x³- x²- x .
Explain what a linear equation is.
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.f(x)=x³- x²- x
f(-3) = ( - 3)³ - ( -3)² - ( -3)
= - 27 - 9 + 3
= - 36 + 3 = -33
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b. If you know the 5th and 6th terms of an arithmetic sequence, how can you find term 7 using the arithmetic mean?
The 7th term of the Arithmetic Progression (AP) is found using the common difference formula.
What is the sequence of AP arithmetic progression?In Arithmetic Progression, the difference between the two arithmetical orders is just a constant value (AP). Arithmetic Sequence is another name for it.
We'd come across the few key phrases in AP that were denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)As shown below, the AP can also be described in terms of common differences.
The following is the formula for determining an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, according the given condition in the question.
Let the 5th term is defined by 'a₅'.
Let the 6th term is defined by 'a₆'.
Let the 7th term is defined by 'a₇'.
The common difference of the can be calculated as;
d = a₆ - a₅
Now, for the second case, it could be written as;
d = a₇ - a₆
So,
a₇ = d + a₆.
Therefor, the 7th term of an AP can be computed by adding the common difference to the 6th term of an AP.
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2 < n + 6 </= 10
help she didn't go over this in class and it's due tomorrow
Answer:
- 4 < n ≤ 4
Step-by-step explanation:
2 < n + 6 ≤ 10 ( subtract 6 from each interval )
- 4 < n ≤ 4
which expression is equivalent to 7 3/4 subtracted by 1/2
The expression which is equivalent to 7 3/4 subtracted by 1/2 will be ( 31 / 4 ) - ( 2 / 4 ).
We are given a statement:
7 3/4 subtracted by 1/2
We need to write an expression to represent the same.
We know that:
7 3/4 can also be written as an improper fraction as:
31 / 4
And 1 / 2 can be written as an equivalent fraction to 2 / 4.
Subtracting the values, we will get the expression as:
( 31 / 4 ) - ( 2 / 4 )
Therefore, the expression which is equivalent to 7 3/4 subtracted by 1/2 will be ( 31 / 4 ) - ( 2 / 4 ).
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A store manager decides to clear out atlases to make room for new inventory. Now a $50 atlas will be on sale for only $21. What percentage is the discount? Write your answer using a percent sign (%).
The percentage discount is 58%
How to calculate the percentage discount ?The old price is $50
The new price is $21
The percentage discount can be calculated as follows
old price-new price/old price × 100
= 50-21/50 × 100
= 29/50 × 100
= 0.58 × 100
= 58
Hence the percentage discount is 58%
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Find following measure.
m AC
When an angle exists encircled by a circle, its measure exists equivalent to the intercepted arc's measure divided by two.
The measure of m AC is 48.
What is meant by inscribed arc?
The arc that is inside the inscribed angle and whose endpoints are on the angle is known as the intercepted arc. Anywhere on the circle that the sides of an inscribed angle intersect to produce an intercepted arc can serve as the angle's vertex.
Angles with vertices on a circle and that cross an arc on the circle are said to be inscribed angles. Half of the intercepted arc's length and half of the central angle's length intersecting that same arc make up the measure of an inscribed angle. Congruent inscribed angles are those that intersect the same arc.
According to the Inscribed Angle Theorem, an inscribed angle's measure is equal to half of its intercepted arc's measure. Congruent inscribed angles are those that intersect the same arc.
An angle's measure exists equivalent to the intercepted arc's measure divided by two when it is surrounded by a circle.
m AC = 2(m ∠B)
m AC = 2(m ∠B) = 48
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Subsets and proper subsets — PLEASE HELP.
Using the concepts of subsets and proper subsets, the statements are classified, respectively, as:
False.True.False.False.What are the subsets and proper subsets of a set?Suppose we have a set given by:
A = {a, b, c}.
The subsets will be all possible combinations involving at least one element of A, or the empty subset, hence:
S(A) = {∅, {a}, {b}, {c}, {a, b}, {a, c}, {b,c}, {a,b,c}}
In which S(A) is composed by the subsets of A.
The proper subsets are all the subsets, except the empty set, hence:
PS(A) = {{a}, {b}, {c}, {a, b}, {a, c}, {b,c}, {a,b,c}}
In which PS(A) is composed by the proper subsets of A.
Hence:
The first statement is false, as the proper subsets of {1,3} are: {{1}, {3}, {1,3}}The second statement is true, as 12 and 14 both belong to the second set, hence {12, 14} is a subset.The third statement is false, as every set will be a subset of itself.The fourth statement is false, as the only subset of the empty set is the empty set.More can be learned about subsets and proper subsets at https://brainly.com/question/17514113
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what value of x makes this equation true 1/5(2x-10)+4x=-3(1/5x+4)
For the equation 1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4), we get the value of x as - 2.
We are given the equation that:
1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4)
We need to solve the equation to find the value of x.
First, we will open the brackets in the equation:
2 / 5 x - 2 + 4 x = - 3 / 5 x - 12
Combining the like terms, we get that:
22 / 5 x - 2 = - 3 / 5 x - 12
Add 2 and 3 / 5 x to both the sides, we get that:
22 / 5 x - 2 + 2 + 3 / 5 x = - 3 / 5 x - 12 + 2 + 3 / 5 x
5 x = - 10
Divide both the sides by 5, we get that:
5 x / 5 = - 10 / 5
x = - 2
Therefore, for the equation 1 / 5 (2 x - 10) + 4 x = - 3 (1 / 5 x + 4), we get the value of x as - 2.
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2, 12, 72, 432, ... match the sequence to its equation
Answer:
This is a geometric sequence since there is a common ratio between each term.
Step-by-step explanation:
2592
read warriors
by eren hunter
Answer: the sequence by 6 gives the next term.
Step-by-step explanation: hope this helps!!!
Angela wants to practice her sign language for the talent show next month. she decides that she will practice 1.4 hours on a monday, 212 hours on a tuesday, and 5 hours on a saturday. if angela uses this schedule for 4 weeks, how many hours will she have practiced in total?
If angela uses this schedule for 4 weeks, the total number of hours she will many have practiced in total is 35.6 hours
Total time for practicalWeek 1:
Monday = 1.4 hoursTuesday = 2 1/2 hoursSaturday = 5 hoursTotal = Monday + Tuesday + Saturday
= 1.4 + 2 1/2 + 5
= 1.4 + 2.5 + 5
= 8.9 hours
if angela uses this schedule for 4 weeksTotal number of hours she practice for weeks = 8.9 hours × 4
= 35.6 hours
Therefore, if angela uses this schedule for 4 weeks, the total number of hours she will many have practiced in total is 35.6 hours.
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