IQR is shorthand for interquartile range
=========================================================
Explanation:
The original list is {84,75,90,87,99,91,85,88,76,92,94}
It sorts to {75,76,84,85,87,88,90,91,92,94,99}
Pick out the middle most value, which is 88 in slot 6. A quick way to get here is to see that there are n = 11 values in this set. So n/2 = 11/2 = 5.5 which rounds to 6, and that tells us the slot number where the median is held. If n is an even number, then you'll need to use the midpoint formula for the two middle-most items.
After we determine the median is 88, we split the sorted data set as follows:
L = {75,76,84,85,87}
U = {90,91,92,94,99}
Everything in set L is below the median. L for lower.
Everything in set U is above the median. U for upper.
Sets L and U have 5 items each. Note that 5+1+5 = 11 = n.
-------------
The median of set L is 84, so Q1 = 84
The median of set U is 92, so Q3 = 92
Q1 and Q3 are the first and third quartiles respectively. Subtracting them gets us the IQR (interquartile range)
IQR = Q3 - Q1
IQR = 92 - 84
IQR = 8
The IQR helps give us a sense how spread out the data set is. It's similar to the range, which is found by range = max - min. The larger the (interquartile)range, the more spread out the data set will be.
What amount would yield an interest of $66 in 2 years at 3% p.a.?
A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft
Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre distancia y el tiempo y de valor de su velocidad v=d/t
Answer:
V = d / t
Step-by-step explanation:
La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.
Si el tiempo empleado se da como (t)
La distancia recorrida se da como (d)
Podemos escribir la velocidad (V) en términos de disance y tiempo como;
V = d / t
Convert to percentages. List answers starting from the top. *
41%
1.836
6/50
Answer:
41% is already in percentage form.
1.836 is 183.6 %
6/50 is 12%.
Step-by-step explanation:
41% is already in percentage form, so I'm just going to leave that as it is.
1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.
6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.
Please mark branliest, thanks!
What is 6574893 + 7?????
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
Find the value of g in the figure given below.
Assume that the lines are parallel.
Answer:
d=60-degree (Vertically opposite angles)
e=d=60-degree (Alternate angles)
e+g=180-degree (Being in a straight line)
60+g=180
g=180-60
g=120-degree
Answer:
angle g = 20 degree
Step-by-step explanation:
60 degree + angle g = 180 degree (being co exterior angles)
angle g = 180 - 60
angle g = 120 degree
Note : co interior angles are the angles formed on the exterior of the two parallel lines and which are on the same side of the transversal .
If 2^x = 5, what is 2^3x - 4?
Answer:
the value of x is 2^9/4 then 2^3x-4=2^11/4
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
Learn more about quadratic function on:
https://brainly.com/question/12144333
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
has to be as a fraction help plzz
I hope you guys can help me with this question :)
the sum of five consecutive numbers is 700, what is the first number?
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be x.
Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).
We are given that their sum is 700. Therefore:
[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]
Solve for x. Combine like terms:
[tex]5x+10=700[/tex]
Subtract 10 from both sides:
[tex]5x=690[/tex]
Divide both sides by five. Therefore:
[tex]x=138[/tex]
The first number is 138.
Answer:
138
Step-by-step explanation:
(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700
5n + 10 = 700
5n = 690
n = 138
According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.
Step-by-step explanation:
When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.
However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.
We'll use the binomial distribution formula where n=4, k=4, and P=.6.
nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296
So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704. You could double check this by calculating the prob of the other 4 outcomes and then adding them together.
The probability that at least 2 people have a cat is 0.522 or 52.2%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.
The formula is:
P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]
where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).
For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).
P(2) = (5 choose 2) × 0.3² × 0.7³
P(2) = 0.252
To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.
P(≥2) = P(2) + P(3) + P(4) + P(5)
Substituting the values we get:
P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522
So, the probability that at least 2 people have a cat is 0.522 or 52.2%.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
I would like some help pleas
Answer:
Step-by-step explanation:
Student who did not play Volleyball = Students who play only hockey + students who don't play any game
= 5 + 3 = 8
Students who play hockey only = 5
Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .
Answer:
46,213,300 km
Step-by-step explanation:
46,213,267
in the above number ;
7 = units
6 = tens
2 = hundred
3 = thousand
1 = ten thousand
2 = hundred thousand
6 = million
4 = 10 million
to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero
because 6 is greater than 5, add one to the hundred value
= 46,213,300 km
8u^8+(-21u^8)
Helpppp quick
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Solve for R.
3/4r-3 1/4=49/16
Answer:
101/12
Step-by-step explanation:
3/4r-3 1/4=49/16
3 1/4=13/4
3/4r-13/4=49/16
3/4r=49/16+13/4
3/4r=49/16+52/16
3/4r=101/16
r=(101/16)/(3/4)
r=(101/16)(4/3)
r=101/12
Ophelia spins each of the three shown spinners once. What is the
probability that the first spinner will land on A, the second on 4, and the
third on Green? Enter your answer as a fraction in simplest form. Use/to
write your fraction,
Answer:
jaja
yo buscando y vos preguntando
Step-by-step explanation:
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Any feature increases when y-value should likewise be increased for the growth of x-values
Each table will be checked
table-1:
That we can see
-3, -2,-1 , 0, 1,2 x increase
And also -6,-3,-1,1,3,6 y increase
It increases, thus,
table-2:
That we can see
-3, -2,-1 , 0, 1,2 x increase
But between -2 and 1, it's asking
The y-values of -4,-1,1,4..... are increasing
This increases, thus,
table-3:
Which we can see
-3, -2,-1 , 0, 1,2 x increase
But y changes between -3 and -5 .....this decreases
This does not increase, thus,
table-4:
we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....
This does not increase, thus,
Answer:
B
Step-by-step explanation:
Graph the following system of inequalities.
y ≤2x + 1
y < -1 - 1
Answer:
Step-by-step explanation:
the first one is the first picture
what is a an expression that contains at least one variable
Answer:
An algebraic expression is a type of expression that contains a variable or variables.
Hey there! Can someone tell me the answer please? Will give brainliest.
Answer:
24 edges, 24 vertices, 8 faces - For that weird Cylender thing.
Step-by-step explanation:
There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.
Answer:
There are 6 faces
One up one down one front one backs one right one left
12 edges and 8 ventricles