Use the stem and leaf plot shown to answer the following question.
What is the upper quartile median value?
37
40
41
Answers
Q1 = 23
Q2 = 34
Q3 = 40 <== ur upper quartile median value
Answer:
The upper quartile median value is 40. Therefore second option is correct.
Step-by-step explanation:
Stem is first digit of a number and leaf is last digit of a number.
Stem 1 leaf 4 can be written as 14.
From the given table, the observations can be written as
[tex]16,18,23,25,26,34,37,37,40,41,46[/tex]
Total number of observations is 11, which is an odd number.
[tex]median=\frac{n+1}{2}\text{th term}[/tex]
[tex]median=\frac{11+1}{2}\text{th term}=6\text{th term}[/tex]
Therefore median is 34.
We have 5 terms before 34 and 5 terms after 34.
[tex]Q_1=\frac{n+1}{4}\text{th term}=3\text{th term}[/tex]
[tex]Q_1=23[/tex]
[tex]Q_3=\frac{3(n+1)}{4}\text{th term}=9\text{th term}[/tex]
[tex]Q_3=40[/tex]
Q₃ is also known as upper quartile median value. Therefore second option is correct.
Related Questions
What are the constant terms in the expression? 8m−5n+2+m−148m−5n+2+m−14 Drag and drop the constant terms into the box.
Answers
Is is the only integer that is alone.
HELP!!!
what is the value of x in the following equation:
1/4 x + 1/4 x = 4/5 ?
A. 8/5
B.5/8
C.2/5
D.3/5
Answers
Rock music accounted for 30.5% of the total sales of recorded music in 1999 , and 20.4% of the total sales of recorded music in 2009 . Find the average rate of change of the percentage of sales of rock music from 1999 to 2009 .
Round to the nearest hundredth of a percent. Note that the percentage sign is already given in the answer, so you do not need to enter it.
The average rate of change is
Answers
-------------=10.1−10
1999−2009
What is 43/50 as a percent?
Answers
becky works 16 days each month.how many days will she work in 6 months
Answers
96 days in 6 months
Becky will work 96 days in 6 months.
Explanation:To find out the number of days Becky will work in 6 months, we need to multiply the number of days she works each month by the number of months. Given that Becky works 16 days each month, we can calculate the number of days she will work in 6 months as follows:
Number of days Becky works each month = 16Number of months = 6Number of days Becky will work in 6 months = 16 days/month * 6 months = 96 daysLearn more about number of days worked here:
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Solve the system of equations.
5x + y = 9
3x + 2y = 4
Answers
3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
-7x=-14
x=2
5(2)+y=9
10+y=9
y=9-10
y=-1
The answer is (2,-1) :)
The Sky High Ski Club dues are $450 per season. This fee includes transportation to and from the slopes and lift tickets. Skis cost $159.90, boots $78.25, and poles $19. What is the total cost?
Answers
Answer:
The total cost is $707.15.
Step-by-step explanation:
The Sky High Club dues are = $450 per person
and the Skis costs = $159.90
Cost for boots = $78.25
Cost of poles = $19.00
To find the total cost we will add all the amounts.
Total cost = 450 + 159.90 + 78.25 + 19.00
= $707.15
The total cost is $707.15.
Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment.
What percentage of blue pigment is in the mixture of the two inks?
45%
49%
60%
75%
Answers
1. Calculate how many ml of blue pigment are in 4ml of ink A if it contains 10% blue pigment:
4 ml is 100%
a ml = 10%
4 ml : 100% = a : 10%
a = 4 ml * 10% : 100% = 0.4 ml
2. Calculate how many ml of blue pigment are in 10ml of ink A if it contains x% blue pigment:
10 ml is 100%
b ml = x%
10 ml : 100% = b : x%
b = 10 ml * x% : 100% = x/10 ml
3. 2. Calculate how many ml of blue pigment are in 14ml (because Four milliliters of ink A is added to 10 milliliters of ink B) of total mixture if it contains 35% blue pigment:
14 ml is 100%
t ml = 35%
14 ml : 100% = t : 35%
t = 14 ml * 35% : 100% = 4.9 ml
4. What percentage of blue pigment is in the mixture of the two inks:
a + b = t
0.4 + x/10 = 4.9
x/10 = 4.9 - 0.4
x/10 = 4.5
x = 4.5 * 10 = 45
Answer:
45%
Step-by-step explanation:
I took the test!
what capital letters are reflect symmetry
Answers
A
B
C
D
E
H
I
M
O
T
U
V
W
X
Y
Which CANNOT be used in a proof?
A. Theorems
B.Postulates
C.Properties
D.Undefined Terms
Answers
Undefined terms cannot be used as a proof in mathematics.
I hope my answer has come to your help. God bless and have a nice day ahead!
Create a trinomial that can be factored and write it in standard form.
Answers
To create a trinomial, use a basic factored form like (x+a)(x+b), and expand this via the distributive property. This yields as an example x²+8x+15, a trinomial in standard form.
Explanation:To create a trinomial that can be factored and to write it in standard form, we need to consider a basic factored form first. Let's use (x+a)(x+b) as our basic factored form. In this form, 'a' and 'b' are the roots of the trinomial.
To create the trinomial, we then expand this expression by using the distributive property: (x+a)(x+b) = x² + bx + ax + ab, which simplifies to x² + (a+b)x + ab. This is now our trinomial in standard form.
Let's take a concrete example. If we let 'a' be 3 and 'b' be 5, our factored form is (x+3)(x+5). Expanding this, we get x² + 5x + 3x + 15, which simplifies to x² + 8x + 15. Thus, x² + 8x + 15 is a trinomial that can be factored and is written in standard form.
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1. Which best describes the relationship between the successive terms in the sequence shown?
9, –1, –11, –21, …
a)The common difference is –10.
b)The common difference is 10.
c)The common ratio is –9.
d)The common ratio is 9.
2. A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?
a)1, –5, 25, –125, ...
b)2, 10, 50, 250, ...
c)3, –2, –7, –12, ...
d)4, 9, 14, 19, ...
Answers
Let's calculate the common difference (c):
c = f(n + 1) - f(n)
9, –1, –11, –21, …
-1 - 9 = -10
-11 - (-1) = -11 + 1 = -10
-21 - (-11) = -21 + 11 = -10
Q2. The answer is c)3, –2, –7, –12, ...
f(n + 1) = f(n) – 5
f(n + 1) - f(n) = -5
c = f(n + 1) - f(n)
So, the common difference is: c = -5
Let's check all choices:
a) c = -5 - (-1) = -5 + 1 = -4 INCORRECT
b) c = 10 - 2 = 8 INCORRECT
c) c = -2 - (-3) = -5
c = -7 - (-2) = -5
c = -12 - (-7) = -5 CORRECT
d) c = 9 - 4 = 5 INCORRECT
You travel 2,557 km in 190 days how far did you travel per hour
Answers
It isn't specific about the distance units so, we can assume km is OKAY to use!
Now we need to convert 190 days to hours. Let's set up some conversion factors.
1 Day = 24 Hours
[tex] \frac{190 days}{1} * \frac{24 hours}{1 day} [/tex]
I recommend setting up conversions like the way I did above. To do so simply make the units cancel out. Similar to how 3/3 cancel out, units also cancel out in the same way. So when you are trying to figure out whether or not you divide or multiply by the conversion factor simply use this method. Say we had 190 hours, the hours unit would need to be on the bottom, and the days on top. It'd be 1/24, thus you would divide by 24.
[tex] \frac{190 days}{1} * \frac{24 hours}{1 day} [/tex] = 4560 hours.
Now what it is asking for his a rate of distance per hour. This rate is also called speed. Remember in the statement it said how far per hour. Meaning when dividing the units should look like this: [tex] \frac{km}{hour} [/tex]
[tex] \frac{2557km}{4560hour} [/tex] = 0.5607[tex] \frac{km}{hour} [/tex]
The answer is:
0.5607[tex] \frac{km}{hour} [/tex]
6-4x verbal expression
Answers
Using the 28/36 ratio, determine the maximum allowable recurring debt for someone with a monthly income of $4,850.
a. $388
b. $776
c. $970
d. $1,358
Answers
Answer:
The correct answer is A. $388
Step-by-step explanation:
The 28/36 Rule states that : A household should spend a maximum of 28% of its gross monthly income on total housing expenses and not more than 36% on total debt service.
Maximum expense on housing expense = 28% of 4850
= $1358
Maximum expense on total debt service = 36% of 4850
= $1746
Therefore, the maximum allowable recurring debt with a monthly income of $4,850 = 1746 - 1358 = $388
Hence, The option A is correct.
Answer:
a
Step-by-step explanation:
got it right on edge
Four points A, B, C, and D are coplanar, but only two at a time are collinear. Suppose a line is drawn through each pair of points. How many lines can you draw? ...?
Answers
The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form? y = 6 y = 6x y = x + 6
Answers
Answer:
The answer is
y = 6
A farmer wishes to enclose a pasture that is bordered on one side by a river (so one of the four sides wont require fencing) She has decided to create a rectangular shape for the area and will use barbed wire to create the enclosure there are 600 feet of wire availible for this project and she will use all the wire. what is the maximum area enclosed by the fence then find the maximum of the function. ...?
Answers
In order to maximize we need the derivative to be equal to 0.y′=1200−8x=0
1200=8x
x=150
Therefore the sides for maximum area are 150*300.
The area is: 45000
Answer:
Area is 45000 square feet.
Step-by-step explanation:
Let x be the length of fenced side parallel to the river side.
Let y be the length of other two sides.
Then,
[tex]x+ 2y 600[/tex]
So, we get [tex]x=600-2y[/tex]
Area of this rectangle = xy
= [tex]y(600-2y)[/tex]
[tex]x=-2y^{2}+600y[/tex]
Now attached is the graph of the area function, which is a parabola opening downward.
We can see ta the maximum area occurs when y=[tex]-600/[2(-2)][/tex] = 150
And [tex]x = 600-2(150)[/tex]
x =[tex]600-300=300[/tex]
Therefore, to maximize the area, the side parallel to the river is to be 300 feet long, and the other two fenced sides should be 150 feet long.
The area is = [tex]300\times150= 45000[/tex] square feet.
For this figure, find the value of x.
x = _____?
Im not sure if i take 77 + 58 + x=180 or 77+28+x=180 or something else.
Answers
The length of a rectangle is five centimeters more than its width w if the perimeter of the rectangle is 26 centimeters what is the area of the rectangle i'm square centimeters
Answers
Which absolute value function, when graphed, will be narrower than the graph of the parent function, f(x) = |x|? f(x) = |x| – 3 f(x) = |x + 2| f(x) = 0.5|x| f(x) = 4|x|
Answers
Hope this helps!
f(x) = 4|x| is the function narrower than the parent function , Option D is the correct answer.
What is an absolute function ?An Absolute function is a function that returns a positive value at any given point.
It is given that
The parent function is
f(x) = |x|
To find the function which will be narrower , it will be plotted to check
It is the known fact that when a function is multiplied by a number greater than 1 , the resulting function gets narrower , This can be easily identified from the graph.
f(x) = 4|x| is the function narrower than the parent function , Option D is the correct answer.
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What is used to repair big, brass instruments
Answers
Repairing big, brass instruments requires the use of specialized tool kits made of steel alloys and brass instrument repair kits. These tools are designed to be gentle on the brass surface, ensuring the instrument's quality and longevity.
Explanation:Repairing big, brass instruments, such as trombones and trumpets, often requires the use of certain materials and techniques. Since brass is an alloy of copper and zinc, it is prone to tarnish and damage over time. Hence, it is important to use cleaning and repair tools made of similar or non-abrasive materials to avoid causing further damage to the instrument.
The most common methods of repairing dents and scratches in brass instruments involve specialist tool kits composed of various steel alloys, which are strong and durable, but also gentle on the brass surface. Additionally, using specialized brass instrument repair kits, which include various mutes, cleaning agents, and brushes, can help maintain the instrument's quality and longevity.
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At a pet show, the ratio of dogs to cats is 4:3. if the number of cats is 45, find the number of dogs at the show.answer:
Answers
cross multiply because this is a proportion
(3)(d) = (45)(4)
3d = 180
d = 180/3
d = 60
so when there is 45 cats, there is 60 dogs
The number of dogs would be 60 when the ratio of dogs to cats is 4:3.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
Given that the ratio of dogs to cats is 4:3. if the number of cats is 45
We have to determine the number of dogs.
Let the number of dogs would be x
As per the given condition, we can write a proportion as
4 dogs : 3 cats = x : 45 cats
⇒ 4 / 3 = x / 45
Apply the cross-multiplication operation,
⇒ 45 × 4 = x × 3
⇒ x = (45 × 4)/3
⇒ x = 15 × 4
⇒ x = 60
Therefore, the number of dogs would be 60.
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What is 9 x ( 3 x 5 ) = ( 9 x n ) x 5?
Answers
Answer:
n=3
Step-by-step explanation:
At president bush's inauguration in 2005,the newspaper headline stated there were about 400,000 people in attendance of the newspaper rounded to the nearest 10,000 what is the largest number of smaller number of people who could been there
Answers
the formula a= d/g gives the average gas milege a of a vehicle that uses g gallsons of gas to travel d miles. use the formula to find how many gallons of gas a vehicle with average gas mileage of 20.2 miles per gallon will use to travel 75 miles. round your answer to the nearest tenth.
Answers
Avg. gas mileage = miles / gallons
20.2 = 75 / x
20.2x = 75
x = 75/20.2
x = 3.7 gallons
Answer: 3.7 gallons
Step-by-step explanation:
Given : The formula [tex]a=\dfrac{d}{g}[/tex] gives the average gas mileage a of a vehicle that uses 'g' gallons of gas to travel 'd' miles.
The average gas mileage : a =20.2 miles per gallon
Distance : d=75 miles.
To find : g
Substitute all the values in the above formula , we get
[tex]20.2=\dfrac{75}{g}\\\\\Rightarrow\ g=\dfrac{75}{20.2}=3.71287128713approx3.7\ \ \ \text{ Rounded o the nearest tenth}[/tex]
Hence, the required amount of gas = 3.7 gallons
Lets say I had an 80% in a class, yet I got a 100% percent on the midterm, which is 10% of my grade. What would my new grade be?
Answers
if you assume that your grade combines to 100% total, and the midterm that's 10% of your grade has yet to be factored in, this would mean that you've received 90% of your grades. in this 90%, you got an 80.
so, at 90% you scored an 80%. at 10% you scored a 100%. you need to combine the two of these to represent how your assignments/tests/homework combine to 100% (90 of that finished, 10 of that coming from your midterm). create an addition problem that represents this, converting percents to decimals:
(0.90)(0.80) + (0.10)(1.00) = .82, or 82%
your final grade would be an 82% in the class.
What is the percentage of 13/18?
Answers
5+3i/4-2i written as a complex number?
Answers
in complex form it would be
=(5+3i)(4+2i)/20
=(20+10i+12i-6)/20
=(14+22i)/20
The expression (5 + 3i)/(4 - 2i) can be simplified as (-7 + 11i)/10, which is a complex number.
How to write 5+3i/4-2i written as a complex numberTo write the expression (5 + 3i)/(4 - 2i) as a complex number, we can multiply the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part in the denominator.
The conjugate of 4 - 2i is 4 + 2i.
Multiplying both the numerator and denominator by the conjugate:
((5 + 3i) * (4 + 2i))/((4 - 2i) * (4 + 2i))
Expanding the numerator and denominator:
(20 + 10i + 12i + 6i^2) / (16 - 8i + 8i - 4i^2)
Simplifying and combining like terms:
(20 + 22i - 6) / (16 + 4)
(-14 + 22i) / 20
Now, we can simplify the expression further by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(-7 + 11i) / 10
Therefore, the expression (5 + 3i)/(4 - 2i) can be simplified as (-7 + 11i)/10, which is a complex number.
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What is the measure of angle B?
A. 32
B. 62
C. 120
D. 31