For each part, compare distributions (1) and (2) based on their medians and IQRs. The reasoning is explained is given.
What is median?The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data point. To find the median, firstly arrange the data points in ascending order.
The middle number in the distribution of the provided data is known as the median. The range of values in the center of the scores is known as the interquartile range, or IQR.
(a). (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20
Since all the values are identical except the highest, the distributions' median and IQR will be equal.
(b). (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9
The median is higher for the second distribution because in the case of (2) the middle number is larger.
Since the final few digits in the second distribution are higher, the IQR would be wider for the second distribution, resulting in a greater third quartile for the second distribution than the first distribution.
(c). (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10
Given that every number in the second distribution is greater than every other number in the first distribution, the median of the second distribution is higher than that of the first distribution.
Since there are the same number of items in both distributions and each number in both distributions is 1 larger than the preceding number, the IQR of both distributions would be identical.
(d). (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
Since all the values in the second distribution are higher than those in the first in this situation, the second distribution will have a higher median. Given that the spread of the numbers is wider in the second distribution than it is in the first, the second distribution will likewise have a higher IQR.
Therefore, the reasoning is explained.
To learn more about the median;
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I really need help answering this please
Answer:
Step-by-step explanation:
NM=26
LM=[tex]\sqrt{26^{2} +33^{2} }[/tex]
LM=42.0
Where would the shape located after a reflection across the x-axis?
I think it would be quadrant 2
Solve the system below"
W
y = - 3x + 17
y = -x + 3
O (7.4)
O (-7,-4)
O (7.-4)
Answer:
I think its (7,-4)
Step-by-step explanation:
solve x:
plug in y
-x+3=-3x+17
solve
x=7
solve y:
plug in what you got for x
y=-3(7)+17
solve
y=-4
Three oil companies, A, B and C, are exploring for oil in an area. The probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20. If B discovers oil, the probability that A will also discover oil is increased by 20%. Assume that the chance of C discovering oil is independent of A and B.
i) What is the probability that oil will be discovered in the area by one or more of the three companies?
ii) If oil is discovered in the area, what is the probability that it will be discovered by company C?
Answer:
Step-by-step explanation:
i )
the probability that oil will be discovered in the area by one or more of the three companies = probability of oil to be discovered by one company + probability that oil will be discovered by two companies + probability that oil will be discovered by three companies.
probability of oil to be discovered by one company = .40 x .40 x .80 + .60 x .60 x .80 + .60 x .40 x .20 = .128 + .288 + .048 = .464
probability that oil will be discovered by two companies = probability to be discovered by A and B and not discovered by C + probability to be discovered by A and C and not discovered by B + probability to be discovered by B and C and not discovered by A
= .40 x .80 x .80 + .40 x .20 x .40 + .60 x .20 x .60
= .256 + .032 + .072
= .36
probability that oil will be discovered by three companies.
= .40 x .60 x .20 = .048
Total probability = .464 + .36 + .048 = .872
ii )
Probability of discovery by C = Probability by C and not by A and B + Probability by C and A and not by B + Probability by C and B and not by A
+ Probability by A , B and C .
= .20 x .6 x .4 + .20 x .40 x .40 + .20 x .60 x .60 + .40 x .60 x .20
= .048 + .032 + .072 + .048
= .20
If oil is discovered in the area, what is the probability that it will be discovered by company C = .20 / .872
= .23
The probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
Given that three oil companies, A, B and C, are exploring for oil in an area, and the probabilities that they will discover oil are, respectively, 0.40, 0.60 and 0.20, and if B discovers oil, the probability that A will also discover oil is increased by 20%, assuming that the chance of C discovering oil is independent of A and B, to determine 1) what is the probability that oil will be discovered in the area by one or more of the three companies, and 2 ) if oil is discovered in the area, what is the probability that it will be discovered by company C, the following calculations must be made:
1)
The discovery probabilities of 1, 2 or 3 companies must be added. (0.40 x 0.40 x 0.80 + 0.60 x 0.60 x 0.80 + 0.60 x 0.40 x 0.20) + (0.48 x 0.60 x 0.80 + 0.40 x 0.60 x 0.20 + 0.60 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) + (0.40 x 0.60 x 0.20) (0.128 + 0.288 + 0.048) + (0.2304 + 0.048 + 0.072) + 0.048 = X 0.464 + 0.3504 + 0.048 = X 0.8624 = X
2)
1.20 = 100 0.20 = X 0.20 x 100 / 1.20 = X 20 / 1.20 = X 16.66 = X
Therefore, the probability that oil will be discovered in the area by one or more of the three companies is 86.24%, and if oil is discovered in the area, the probability that it will be discovered by company C is 16.66%.
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Complete the square to: n2 + 4n - 8 = 0
Answer:
(n + 2)² = 12
Step-by-step explanation:
[tex] {n}^{2} + 4n - 8 = 0 \\ {n}^{2} + 4n = 8 \\ {n}^{2} + 4n + 4 = 8 + 4 \\ {(n + 2)}^{2} = 12[/tex]
HELP Which of the following is NOT a property of a magnet, exerts magnetic force, has magnetic poles, some magnets have two north poles, has a magnetic field
Answer:
Some magnets have two north poles
HELP PLEASE 20 POINTS
Describe what a solution is for a system of equations and explain how this relates to setting the equations equal to each other?
Sorry, can you tell me in Spanish, I don't understand much English, I really want to help you, can you do what I told you? Thanks
Will mark brainliest!! Look at picture for question please
which expression is equivalent to 6Vg^5, if g> 0
Step-by-step explanation:
Option d is he correct answer.
.....
19 cm
6 cm
30 cm
The container is 2/3 full of water.
A cup holds 275 ml of water.
What is the greatest number of cups that can be completely filled with water from
the container? (4)
Answer:
A total of 8 (eight) completely filled cups.
Step-by-step explanation:
Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.
Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:
Volume = 19 x 6 x 30 = 3420 cm^3
The amount of water in it fills 2/3 of its volume, then:
amount of water = 2/3 (3420) = 2280 cm^3
Now to find how many cups can be filled with such amount of water, we do the division:
2280 / 275 = 8.29
Then the maximum number of completely filled cups is: 8
las alturas medidas en centimetros de 15 niños de una primaria fueron las siguientes 145,135,150,144,137,152,139,146,140,149,148,135,143,151,135¿cual es el promedio,mediana y moda?
Answer:
145
Step-by-step explanation:
145 135 123 134 456 teukr68l67ewi6e5iu
A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
What is the slope of the graph? Show your reasoning.
What does the slope tell us about this situation?
Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.
Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.
Answer:-2
Step-by-step explanation:y=500+250x
Find the sale price of a $70 item after a 20% discount.
Answer:
$56
ez
Step-by-step explanation:
can you help me in rule?
I am doing it right?
YALL PLEASE HELP I WILL MARK YOU AS BRAINLEST
Step-by-step explanation:
But you can search on other applications
Can U tell me U are in which std
8.23
x 37
61
14
19
In0.51
Answer:
304.51.
Step-by-step explanation:
Your question is kind of confusing but I think your question is 8.23 x 37. The answer to that is 304.51.
A 2-liter bottle is filled completely with water from a faucet in 10 seconds. How much water is filled into the bottle each second?
Pls who ever sees this (can you pls respond I’m desperate )
Answer:
2 L/10 sec is equal to the amount of water per second. which would be 0.2 liters per second
13° N What is the measurement of N? es
Answer: ..The 13 N + 12,13 C elastic scatterings have been measured at laboratory energies of 16.3, 20. and 29.5 MeV.
Step-by-step explanation:
Do This
The following details are notes in meters in the field book of a surveyor. Find the area of the fields.
Answer:
8900Step-by-step explanation:
there are 4 triangles and 1 trapezoid in the shapethe area of first triangle
½×40×60
20×60
1200
the area of second triangle
½×(30+60)×60
½×90×60
30×90
2700
the area of third triangle
½×(40+30)×60
½×70×60
30×70
2100
the area of fourth triangle
½×30×30
15×30
450
the area of the trapezoid
½×(30+40)×(30+40)
½×70×70
35×70
2450
the area of the field
1200+2700+2100+450+2450
8900
note: the attached shape is got from the table and the shape is not made to accuracy
Select the phrase that best completes the sentence.
-2x + 3 - x = 3x - 15
The equation has:
No solution
One solution x=3
One solution x=-3
Infinity many solutions
Answer:
No solution
Step-by-step explanation:
NOLUR DOGRU CEVAP VE ANLATIMLI OLSUN doğrusu na 30 puan
Answer:
Step-by-step explanation:
A'nın dört olası değeri vardır: 16, 17, 18, 19
Answer:
Step-by-step explanation:
cevap d şıkkı yani 6
The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.
Midpoint Definition: The point where a line is perfectly split in half
Coordinates exist in the form of ( x, y )
Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.
In other words,
Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )
You should get ( -22.5, 11 ) as your answer.
If a punch bottle says 10% fruit juice, and it is a 150 milliliter bottle, how many milliliters of fruit juice is in the bottle?
Answer:
i believe the answer is 15 milliliters
Step-by-step explanation:
Answer:
Figure it out yourself
Step-by-step explanation:
3y - 8 = -3(4 - 2x)
Step 2 of 2: Find the equation of the line which passes through the point (- 12. -3) and is parallel to the given line Express
your answer in slope-intercept form. Simplify your answer.
Answer:
y=2x+21
Step-by-step explanation:
Look at attached pictures for further explanation
Can some one help plz
Given:
The parent function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex]
The translated function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex]
To find:
The correct statement from the given options.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex]
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.
In the translated function, we have b=-2<0, so the graph shifts 2 units down.
The graph of [tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex] is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function [tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex].
Therefore, the correct option is A.
operación 1: (6+(4*12)/12-2)+5
Answer:
13Step-by-step explanation:
6+ (4)(12) /12 −2+5
=6+ 48 /12 −2+5
=6+4−2+5
=10−2+5
=8+5
=13
What is m/3 = -12 I really need help with problem please help
Answer:
m=-36
Step-by-step explanation:
(3)m/3=-12(3) multiply by three to cancel out
m=-36
hope this helps :)
Question:
m/3 = -12
Answer:
m=-36
-36/3=-12
Teresa's restaurant bill comes to $29.99 before tax. If the sales
tax is 6.25%, what is the total cost of the meal (including tax)?
An expression is shown. (3x^2+2x-5) -(5x^2-4x+1)
Step-by-step explanation:
solve the equation by placing correct sign
13. simplify and factor this expression; 12x+18y+18x D NEED HELP ASAP
Answer:
30x+18y
Step-by-step explanation:
12x+18y+18x
combine like terms
30x+18y
Answer:
6 ( 5x + 3y ) did the calculations, just simplified
can someone help me with a two step equation that is x=3 please its for a math project
Answer:
Equation: 4x+15=3(x+6)
Step-by-step explanation:
Answer:
4x + 3 = 1(x + 12)
Step-by-step explanation:
Can u explain more?