Select the outlier in the data set.
then
If the outlier were removed from the data set, would the mean increase or decrease?
Answers
====================================================
Explanation:
The set of given numbers sorts to this
11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98
The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.
Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833
Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.
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To summarize so far:
old mean = 77.5833 approximatelynew mean (removed outlier) = 83.6364 approximatelyWe see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.
Related Questions
Solve for x and y 60° 15°
Answers
Answer:
y = 4x hope this Helps!
Step-by-step explanation:
y = kx
k = y/x = 60/15 = 4
y = 4x
The formula for the volume of a square pyramid is V = 1/3 8^2h. Choose the formula in terms of h.
Answers
Answer:
h = 3V/b^2
Step-by-step explanation:
V = 1/3 * b^2 * h
multiply through by 3
3V = b^2 *h
divide both sides by b^2
3V/b^2 = h
3. Hildalgo cuts red fabric into two pieces. One piece
of fabric is five times as long as the other piece. If
the smaller piece is 15 cm long, how long was the
whole piece of fabric before it was cut?
Answers
Answer:
well the other piece is 75cm that means the whole fabric is 90cm
make x the subject of the following: k = 2(3x - 5)
Answers
Answer:
x = (k+10)/6
Step-by-step explanation:
k = 2(3x - 5)
Distribute the 2
k = 6x - 10
Add 10 to each side
k+10 = 6x-10+10
k+10 = 6x
Divide each side by 6
(k+10)/6 = 6x/6
(k+10)/6 = x
Answer:
x = (k + 10) / 6
Step-by-step explanation:
k = 2(3x - 5)
k = 6x - 10
k + 10 = 6x
(k + 10) / 6 = x
i really want to know what 3-3=
Answers
A textbook store sold a combined total of 290 math and history textbooks in a week. The number of math textbooks sold was 64 more than the number of history textbooks sold. How many textbooks of each type were sold
Answers
Answer:
113
Step-by-step explanation:
290 - 64 = 226
226 ÷ 2 = 113
2 Sami made 27 phone calls in 12 days. Marta made 45 phone calls in 18 days. a Work out the mean number of calls per day for each person. b Who made more calls per day?
Answers
The mean number of calls for Sami is 2.25 calls per day and for Marta it is 2.5 calls per day
The person who made more calls per day is Marta.
What is the mean?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Sami = 27 / 12 = 2.25 calls per day
Marta = 45 / 18 = 2.5 calls per day
To learn more about mean, please check: https://brainly.com/question/25842202
[tex]\large\sf\fbox\red{Question:-}[/tex]
check the injectivity and subjectivity of the function:
[tex] \sf \large f:N \longmapsto \: N \: given \: by \: f(x) = x {}^{3} .[/tex]
Answers
Answer:
The function is injective but nor surjectiveStep-by-step explanation:
We see that:
f(x) = x³For any x₁ and x₂ ∈ N,
f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbersIt it confirmed one-to-one, hence it is injective
Check the surjectivity:
f(x) = y ∈ N
x³ = yy = ∛xLet y = 2, then:
2 = x³x = ∛2 ∉ NSince x is not natural, the function is not surjective
Answer:
This function is injective only.
Step-by-step explanation:
N = natural numbers = positive whole numbers equal to or greater than 1.
Therefore [tex]N \rightarrow N[/tex] means that both the input and output are natural numbers.
A function is surjective if for every element in the codomain, there is at least one element in the domain.
Therefore, this function is NOT surjective. For example, there is no natural number for x for which f(x) = 2.
A function is injective if for every element in the codomain, there is at most one element in the domain. This is also called "One-to-One".
Therefore, this function IS injective as there is either none or only one value of x for each value in the codomain.
Find the slope.
Find the slope
Answers
Answer:
-x + 1 __________________________
Answer:
-1
Step-by-step explanation:
The slope is the change in y over the change in x. In this graph, the y-value decreases by 1 unit to the right, and the x-value increases by 1 unit. So, this means that the slope is represented as -1/1. This can then be rewritten as -1.
We know that this slope is negative because it decreases to the right. Positive slopes increase to the right.
HELP PLEASE THANK YOU !!!!!
Answers
Answer:
00248DNEStep-by-step explanation:
1.f(g(2)) = f(0) = 0
2.g(f(2)) = g(2) = 0
3.f(f(2)) = f(2) = 2
4.g(g(2)) = g(0) = 4
5.(f+g)(4) = f(4) +g(4) = 4 +4 = 8
6.(f/g)(2) = f(2)/g(2) = 2/0 ⇒ DNE
_____
To find the value of the function on the graph, locate the x-value on the horizontal axis and work up the vertical line to the curve of interest. Read the value of that point from the vertical scale.
A 3-foot vertical post casts a 24-in. shadow at the same time a pine tree casts a 30-foot shadow. How tall is the pine tree? What is the scale factor of the post to the tree? Can someone pls tell a step by step guide!!!
Answers
Answer:
30
Step-by-step explanation:
2x + 2y + 7a -y . Can you guys give working also please
Answers
Answer:
below •Step-by-step explanation:
2x + 2y + 7a - y
2x + 1y + 7a Combine like terms
2x + y + 7a Multiply by 1
7a + 2x + y Rearrange terms
7a + 2x + y RESULTS!
HOPE IT HELPS!!!
What is the area of a rectangle whose side are x – 3 and x + 5?
Answers
Given :
The sides of a rectangle are (x - 3) and (x -5).To Find :
The area of the rectangle.Solution :-
Here we are given two sides of rectangle . We know that the area of rectangle is ,
→ Area = side 1 * side 2
Substituting the respective values ,
→ A = (x-3)(x+5)
→ A = x(x+5) -3(x+5)
→ A = x² + 5x -3x -15
→ A = x² +2x - 15
Hence the area of the rectangle is x² +2x -15.
I hope this helps .
What is the measure of x
Answers
explanation: just add the interior angles to get the exterior
Answer:
156°
Step-by-step explanation:
the total internal angle of a triangle in 180°
so,
180 - (85 + 71)
= 24°
this is the internal angle, to find the external angle subtract this value from 180
so,
180 - 24
= 156° (answer)
1/2 s a termating ecimal
Answers
Hey there!
1/2
= 1 ÷ 2
= 0.50
≈ 0.5
≈ 50%
Thus, 1/2 is most likely a: terminating decimal
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
WORTH 100 POINTS
Lucas is having yogurt and an apple for a snack. There are five containers of yogurt in the refrigerator: three are raspberry, one is vanilla, and one is peach. There are also two green apples and three red apples.
If he reaches into the refrigerator to get a yogurt without looking, what is the probability that Lucas will choose a raspberry yogurt?
What is the probability that he will choose a red apple if it is the first item he selects?
What is the probability that Lucas will eat a raspberry yogurt and a red apple?
Answers
Answer:
If Lucas reaches into the refrigerator to get a yogurt without looking, there is a 3/5 probability that Lucas will choose a raspberry yogurt.
There is a 3/5 probability that he will choose a red apple if it is the first item he selects.
There is a 9/25 probability that Lucas will eat a raspberry yogurt and a red apple.
Step-by-step explanation:
3/5 x 3/5 = 9/25
Answer:
Probability of yogurt being raspberry = 3/5 = 0.6Probability of choosing a red apple = 3/10 = 0.3Probability of raspberry yogurt AND red apple = 9/50 = 0.18Step-by-step explanation:
Total of 5 yogurts: 3 raspberry + 1 vanilla + 1 peach
Probability of yogurt being raspberry = 3/5 = 0.6
Total of 5 apples: 2 green + 3 red
Total number of snacks = 10
Probability of choosing a red apple = 3/10 = 0.3
Probability of raspberry yogurt AND red apple = 0.6 x 0.3 = 9/50 = 0.18
What is the correct order of operations for simplifying the expression 2 - 3x + 5 + 71 - 5x)2+x
Answers
Answer:
Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms
Step-by-step explanation:
In a class 18 children are girls A quarter of the children in the class are boys. Altogether, how many children are in the class?
Answers
6 are boys, 18 are girls.
Good luck!
Answer:
24
Step-by-step explanation:
let x be the number of children in the class , then
number of boys = [tex]\frac{1}{4}[/tex] x , so
x = [tex]\frac{1}{4}[/tex] x + 18 ( multiply through by 4 to clear the fraction )
4x = x + 72 ( subtract x from both sides )
3x = 72 ( divide both sides by 3 )
x = 24
There are 24 children in the class
How many solutions in x=2+3 and 3x-6y=9
Answers
[] One solution
-> x = 2 + 3
-> 2 + 3 can only equal one thing, 5.
[] Invitinte solutions
-> 3x - 6y = 9
-> This is a linear equation, so it will go on forever. If you graph it you can find the solutions.
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
You have 128 eggs and 72 strips bacon, what is ratio of eaggs to bacon?
Answers
Answer:
16:9
Step-by-step explanation:
Lara earned $16.92 per hour working at a store.
This week she worked for 12 1/4 hours.
She used the money she earned this week to buy concert tickets for herself and her friends.
Each concert ticket cost $19.55.
What is the maximum number of tickets Lara could have bought?
Answers
Answer:
The maximum number of tickets Lara could have bought are 10.
A teacher simulated her students’ scores on a biology test using 200 trials. The results are shown in the table.
Based on the data from the simulation, what is the probability of students’ scores falling between 80 and 99?
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 13 25 69 58 35
A. 0.535
B. 0.350
C. 0.465
D. 0.580
Answers
Help pleaseeee I’m in need
* Which value can you use for n to show that the
first step in a proof by mathematical induction of
"For all the positive integers n
1^2+2^2+...+n^2?
n(n+1) (2n+1)" /6 is true?
A-n=1/4
B- n=1
C- n=3.26
D- n=-10.1
Answers
Answer:
B- n = 1
Step-by-step explanation:
"For all the positive integers n" is a qualifying statement. The number used has to be positive and also must be an integer. Integers are whole numbers and their opposites, so basically no fractions and no decimals. Answer A is a fraction and C is a decimal and D is negative and a decimal. So they don't work for this problem.
The value is n to show that the first step in a proof by mathematical induction of for all the positive integers is 1.
Thus, option B is correct.
The conditions can be checked through the options.
The option C and D will be eliminated because the condition is for all the positive integers n but n is decimal here.
For n = 1/4, the solution will be in fractions.
So, it does not hold true for n= 1/4.
For n = 1
[tex]\dfrac{n(n + 1)(2n + 1)}{6}[/tex]
=[tex]\dfrac{1(1 + 1)(2 \times 1 + 1)}{6}[/tex]
= 1
Thus, the value is n to show that the first step in a proof by mathematical induction of for all the positive integers n is 1.
So, option B is correct.
Learn more about positive integers here:
https://brainly.com/question/26051073
#SPJ4
What is the measure of y? 4 16 z y x
Answers
Answer:
y = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
y² = product of the segments on the hypotenuse of the large right triangle.
y² = 4 × 16 = 48 ( take square root of both sides )
y = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
A girl's age in 12 years' time is the square
of her present age. Find her present age.
Answers
Answer: her present age is 4
Step-by-step explanation:
Proof: 4+12=16
Square root 4 is 16
Answer:
4
Step-by-step explanation:
Let x represent her present age. The given relation is ...
x +12 = x^2
Putting this in standard form, we can factor it:
x^2 -x -12 = 0
(x -4)(x +3) = 0
Solutions to this quadratic are x = 4, x = -3. The -3 solution is extraneous in this context.
The girl's present age is 4.
I'm doing a poll for school. Comment whether or not you like pugs.
Answers
Answer:
I do not like pugs. I think they are quite ridiculous creatures.
Step-by-step explanation:
Answer:
I do like pugs
Step-by-step explanation:
Use the order of operations to simplify + 8(2.5 – 0.5).
-
O A. 4
O B. 20
O c. 2
O D. 164
Answers
[tex] \dashrightarrow \tt8(2.5 – 0.5)[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt8(3)[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt8 \times 3[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt24[/tex]
Answer:
16
Step-by-step explanation:
I think the question is either incorrect or a number is being omitted in the options.
But, lets make do with what we have here so you have an idea of how its been solved.
USING THE ORDER OF OPERATIONS IS BEING FOLLOWED SO THAT EVERYONE CAN ARRIVE AT THE SAME ANSWER.
8(2.5 - 0.5) = 8 (2) = 16
(6p+5) (6p-5)
find this using algebric identities
Answers
Answer:
[tex]36p^{2} - 25[/tex]
Step-by-step explanation:
Answer:
36p^2 - 25Step-by-step explanation:
●Using the identity :-
●(a+b) (a-b) = a^2 - b^2
●Here, a = 6p and b = 5
=> (6p+5) (6p-5)
=> (6p)^2 - (5)^2
=> 36p^2 - 25
Hope it helps !!long devision for 53 divided by 23
Answers
Answer:
2, 7 remainder is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
53/23 = [tex]2\frac{7}{23}[/tex] or ≈ [tex]2.3[/tex]
Hope this helps!
dw its fine, i dont need the work. just give me the answer
Answers
Answer:
j = 35 - k
35 = j + k
k = 35 - j
(the 2nd, 3rd, and 4th one)