Answer:
If the missing data value was 55, the range of the data would change significantly
If the missing data value was 22, the interquartile range of the data would change significantly
Step-by-step explanation:
Given the data
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40
The range of the data is the difference between the highest value and the lowest value of the data.
Highest value = 40
Lowest value = 8
Range = 40-8
Range = 32
If 55 was missing, we need yo find the range of the data if 55 was included.
Highest value will be 55
Lowest value = 8
Range in this case = 55-8
Range = 47
Difference in range = 47-32= 15
This means that if 55 was missing, it will significantly affect the value of the range.
- Interquartile range = Q3-Q1
Q3 is the median value of the other half of the data.
Q1 is the median value of the first half of the data.
If 55 wasn't included, the first part of the data:
8, 9, 12, 12), 13, (15, 16, 16, 16
Q1 = 13 (median value of the extracted data)
The second part of the data if 55 wasn't included:
18, 21, 22, 23), 27, (28, 32, 34, 40
Q3 = 27 (median value of the second part of the data)
IQR = Q3-Q1
IQR = 27-13
IQR = 14
If 55 was included, the data will be;
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55
Q1 = N+1/4 the value
N is the sample size = 19
Q1 = 19+1/4
Q1 = 20/4
Q1 = 5th value
The 5th value in the data is 13, hence Q1 is 13
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.
For the Interquartile range
If 22 was in
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Based on the calculation, the correct options are:
- If the missing data value was 55, the range of the data would change significantly
- If the missing data value was 22, the interquartile range of the data would change significantly
Answer:
a
Step-by-step explanation:
edge 2021
Determine whether 3x - xy + 7 = 0 is a linear equation. If it is, write the equation in standard form.
O A linear y = -3x - 7
OB. linear y=-3x + 7
OC linear 3x - xy = -7
OD not linear
Answer:
C
Step-by-step explanation:
For f(x)=3x+1 and g(x)=x^2-6, find (fxg)(x).
3x^2-17
4x^2-6x-8
3x^3+x^2-18x-6
3x^3+x^2-6x-6
Answer:
3x+1+x^2-6
Step-by-step explanation:
(fxg)(x)= 3x+1+x^2-6
f(x) is = to 3x+1
and g(x) is = to x^2-6
so the answer would be 3x+1+x^2-6!
Please help ASAP please don’t lie
Answer:
B
Step-by-step explanation:
I believe the number of sides, and the number of lines of symmetry are the same.
Because, A "regular polygon" has all the same 5 sides all around, which would mean there's the same amount of lines of symmetry.
on Monday a restaurant made $545 from selling 110 hamburgers if they sold 53 Hamburgers on Tuesday how much did they make
Answer:
$262.59
Step-by-step explanation:
545 / 110 = 4.95454545455
4.95454545455 x 53 = 262.590909091
Rounded = $262.59
Does anyone know this?
Answer:The awnser Is this
Positive Roots: 2 or 0
Negative Roots: 1
Rounded 2.317 to the nearest thousand
Answer:
2.32
Step by Step Explanation:
5 and above, Give it a shove
1 rounds to 2 because of the 7
2.317 = 2.32
Holden wants to earn money teaching kids how to skate. It costs him $250 to advertise his new skate school. He charges students $16 and hour to learn how to skate. How many hours does he have to teach in order to make $768, the amount needed to
buy a new gaming system?
Create an equation where r represents the
number of hours Holden needs to work.
Answer:
16r - 250 = 768
Step-by-step explanation:
First, create a term that represents his revenue:
Since he charges students $16 per hour, the amount of money he makes from this can be represented by 16r.
Then, subtract the advertising cost of $250 from this.
Set it equal to 768, because that is how much the gaming system costs.
16r - 250 = 768 will be the equation
Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $359 and has not made any withdrawals or deposits since then. If her interest rate is 8% each year, how much interest has accrued using simple interest?
Total Interest = $
What is Tarah's new total balance?
New Balance Total = $
Answer:
Total interest = $28.72
New balance = $ 387.72
Explanation: Tarah has $359 in the bank. To find the amount of interest, multiply 359 by .08.
She gets $28.72 interest annually.
In one year, she will make $387.72. (Add the total interest to her original balance)
Plz mark brainliest:)
PLEASE HELP
On graduating from college, you recieve $3,000 in gifts from family and friends. You want to invest it for later use as $15,000 down payment on a house. You have found an opportunity that locks in a 10% annual interest rate. How many years will it take to turn your graduation gifts into a down payment?
Answer:
6,346
Step-by-step explanation:
add add multiply and add
The equation yˆ=20646·0.86x estimates the value of a brand of car x years after it was purchased new. Milo purchased this brand of car when it was new. To the nearest dollar, what will be the approximate value of Milo's car 11 years after he purchased it?
Answer:
$195311
Step-by-step explanation:
Given the expression yˆ=20646*0.86x
Given that the number years 11
And x represent the number of years
Substituting x=11 in the expression for the cost we have
yˆ=20646*0.86(11)
yˆ=20646*9.46
yˆ=20646*9.46
yˆ=195311.16
From the analysis he purchased the car fro $195311
Answer:
K12 answer added in attachment below. :)
Step-by-step explanation:
solve question please
Answer:
12, 160, 380
Step-by-step explanation:
Answer:
all of them are perfect square numbers since they can all be divided by four.
Round 18,626,291 to the nearest million.
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
images attached.
Answer:
D
Step-by-step explanation:
Using the Sine rule in Δ QRS , that is
[tex]\frac{q}{sinQ}[/tex] = [tex]\frac{r}{sinR}[/tex] , that is
[tex]\frac{15}{sinQ}[/tex] = [tex]\frac{12}{sin50.1}[/tex] ( cross- multiply )
12× sinQ = 15 × sin50.1° ( divide both sides by 12 )
sinQ = [tex]\frac{15sin50.1}{12}[/tex] , thus
Q = [tex]sin^{-1}[/tex] ( [tex]\frac{15sin50.1}{12}[/tex] ) ≈ 73.5° ( to the nearest tenth )
Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?
Answer:
He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas
Step-by-step explanation:
Answer:
you can get 2 pizzas
Step-by-step explanation:
It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.
10+10=20
20+the delivery fee=24
Which property is shown: 3t + 2r = 2r + 3t?
Answer:
Commutative Property
Step-by-step explanation:
The commutative property shows two values or equations that are similar, but in a different order.
Examples:
3 + 4 = 4 + 3
5x + 2h = 2h + 5x
Which diagram shows a pair of angle measures that prove lines a and b are parallel ?
Answer:
B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.
Option B is right.
What are corresponding angles?
Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.
Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.
This equal to the given corresponding angle , which is also 120°.
We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.
Hence, Option B is correct.
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Solve the following inequality. Give the answer in interval form. -4c>2(5-2c)
Answer:
I believe it would be no real number
Step-by-step explanation:
If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
Answer:
7 years
Step-by-step explanation:
Let W = number of years they both have to work to make the same amount :
Amount made by Jaylon = 57000
Annual raise = 2500
Titak made after W years :
57000 + 2500w - - - (1)
Amount made by Anita = 64000
Annual raise = 1500
Total made after w years :
64000 + 1500w - - - (2)
Equate (1) and (2)
57000 + 2500w = 64000 + 1500w
2500w - 1500w = 64000 - 57000
1000w = 7000
w = 7000/ 1000
w = 7
Hemce, they'll both earn the same amount after 7 years
( PLEASE HELP I WILL GIVE BRAINLIESTT! ) Lin ran 234 miles in 25 of an hour. Noah ran 823 miles in 43 of an hour.
Who ran faster, Noah or Lin? Lin ran faster.
How far would Lin run in 1 hour? Lin would run 55/8 an hour.
How far did Noah run in 1 hour? Noah ran ½ kilometers in
How long would it take Lin to run 1 mile at that rate?
How long would it take Noah to run 1 mile at that rate?
Answer:
the answer is 3 opinion
x2 + 6 x+8 = 0
What is the factors
Answer:
Step-by-step explanation:
Which one?
A. B. C. or D?
For f(x)=4x+11, what is the value of f(15)?
What is the length of the graphed line segment
Answer:
acc. to me it should be
[tex] \sqrt{50} [/tex]
A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s
Answer:
A
Step-by-step explanation:
Speed= Distance/time
20m/10s=2 m/s
into my trap!" Justin shouts, laughing like the madman he is. The mouse he captured stares back at him indifferently as it munches on a piece of cheese at the bottom of a box whose base measures
12
cm
12 cm12, start text, space, c, m, end text by
12
cm
12 cm12, start text, space, c, m, end text.
Move the points on the grid below to draw the base of the box in which the mouse is trapped
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You're being asked to move points on a grid so they form a square that is 12 units on a side. We don't know what your points or your grid look like, so we can only guess what your final figure might be. Attached is a square 12 units on a side, similar to one you're asked to draw.
Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
What is the image point of (7, 0) after a translation right 2 units and up 1 unit
Answer:
(9,1)
Step-by-step explanation:
The required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).
As mentioned in the question, the image point of (7, 0) after a translation right 2 units and up 1 unit is to be determined.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
The image point of (7, 0) after a translation right 2 units and up 1 unit is given as,
= (x + x', y + y')
= (7 + 2, 0 + 1)
= (9, 1)
Thus, the required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).
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To determine the temperature in Fahrenheit, multiply the Celsius temperature
by 1.8 then add 32. Determine the Celsius temperature if it is 89°F outside.
Round your answer to the nearest hundredth
Answer:
PSAT ONBY!
Step-by-step explanation:
Buckle these demons cannify
Arrange the numbers in increasing order.
b.
14.204
14.200
14.240
14.210
Answer:14.200,14.204,14.210,14.240
Step-by-step explanation:
In the equation t = 0.7n - 1.3, the dependent variable
Answer:
The dependent variable is n i think because the hwole problem depends on n
Step-by-step explanation: