Answer:
D.
The range and the IQR will both change.
Step-by-step explanation:
PLATO
The correct answer is C. The IQR will stay the same, but the range will change.
How to calculate the IQR?To determine what will happen to the range and the IQR of this data set if the outlier is not included, we first need to identify the outlier.
One way to identify an outlier is to use the 1.5 x IQR rule. According to this rule, any data point that is more than 1.5 times the IQR away from the first or third quartile is considered an outlier.
Using this rule, we can calculate the IQR of the data set:
Arrange the data set in order from smallest to largest:
26 28 29 31 33 33 34 35 36 37 38 39 41 43 60
Find the median, Q₂, of the data set. In this case, Q₂ = 36.
Divide the data set into two halves: the lower half, which includes all values less than or equal to Q₂, and the upper half, which includes all values greater than or equal to Q₂:
Lower half: 26 28 29 31 33 33 34 35
Upper half: 36 37 38 39 41 43 60
Find the median, Q₁, of the lower half. In this case, Q₁= 30.
Find the median, Q₃, of the upper half. In this case, Q₃ = 41.
Calculate the IQR as the difference between Q₃ and Q₁: IQR = Q₃ - Q₁ = 11.
Multiply the IQR by 1.5: 1.5 x 11 = 16.5.
Add 16.5 to Q₃ and subtract 16.5 from Q₁ to get the upper and lower bounds for outliers:
Upper bound: Q₃ + 16.5 = 57.5
Lower bound: Q₁ - 16.5 = 13.5
Any value outside this range is considered an outlier.
In this data set, the value 60 is greater than the upper bound of 57.5, so it is an outlier.
Therefore, the correct answer is C. The IQR will stay the same, but the range will change.
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In the year 2010, a person bought a new car for $26000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2014, to the nearest hundred dollars?
Answer:
$17,100
Step-by-step explanation:
Set up an equation where y is the worth of the car and t is the number of years since 2010:
y = 26000(0.9)^t
Plug in 4 as t, since it is asking about 2014:
y = 26000(0.9)^t
y = 26000(0.9)^4
y = 17058.6
Round to the nearest hundred dollars:
17058.6
= 17,100
So, the car will be worth approximately $17,100
Given the figure below, find the values of x and z.
Answer:
x=9 z=108
Step-by-step explanation:
72+9=81
81/9=9
x=9
72+72=144
360-144=216
216/2=108
z=108
Question 3Multiple Choice Worth 5 points)
(08.05 LC)
For f(x) = x and g(x) = (x- 4)', in which direction and by how many units should fox) be shifted to obtain gx)?
OLeft 4 units
Up 4 units
ORight 4 units
Down 4 units
Answer:
Down 4 unit (see discussion, could be right 4 units)
Step-by-step explanation:
f(x) = x
G(x) = x - 4
Discussion:
if f(x) = x g(x) = f(x-4) = x-4 ... shift to right 4 units
or g(x) = f(x) - 4 = x -4 ... shift down 4 units
Dagogo uploads 333 videos on his channel every month. Each video averages 151515 minutes in length and gets an average of 150{,}000150,000150, comma, 000 new views. The average ratio of likes-to-views of Dagogo's videos is 1:51:51, colon, 5. Dagogo wants to reach a total of 9{,}000{,}0009,000,0009, comma, 000, comma, 000 views on his channel.
Answer:
it is 20 months
Step-by-step explanation:
GOT IT RIGHT ON KHAN and
150,000 divided by 5 so 30,000 then 30,000 divided by 15
Each video gets an average of 1,500,000 views.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Each video gets an average of 1,500,000 views
Video get Views = 3 x 1,500,000
= 4,500,000 Views
Total Views = 90,000,000 Views
Number of months = Total Views/Views per month
Number of months = 90,000,000 / 4,500,000
= 20 Months
Hence, For 20 Months Dagogo need to upload videos to get 90,000,000 views on his channel.
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Between 9 p.m and 6:45 a.m, the water level in a swimming pool decreased by 3/16 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
9:00 pm to 6:45 am = 9 hours 45 minutes = 9.75 hours
Water level drops 3/16" (or .1875") every 9.75 hours
.1875 / 9.75 = 0.0192307692 inches per hour
Step-by-step explanation:
Find the x-intercept of the equation
y= x + 3.
a) (-3,0)
b) (0, 3)
c) (0,0)
d) (3, 0)
Answer:
A (-3,0)
Step-by-step explanation:
By the way, there's this website called Desmos. I find it's very helpful.
Find the slope of the line passing through each pair of points.(-6, 16) and (-8, 20)
Answer:
[tex]slope \: s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} )} \\ s = \frac{(20 - 16)}{( - 8 + 6)} \\ s = \frac{4}{ - 2} \\ s = - 2[/tex]
The base angle theorem is written as a conjecture,"if two sides of a triangle are congruent, then the angles opposite of them are congruent". Write the converse of the conjecture and determine if it is true.
Step-by-step explanation:
Statement:
"If two sides of a triangle are congruent, then the angles opposite of them are congruent"
Converse:
If two angles of a triangle are congruent, then the two sides opposite them are congruent.
The converse of the statement is true and can be proven true using a two-column proof. In fact it is a theorem.
Are you in the mood to save a life? if your answer is yes you are in the right place. PLSSSSSSSSSSS HELP
Could a design be both translational and glide reflectional symmetry? Explain why or why not.
Answer:
yes why
?
Step-by-step explanation:
Find the area of the rhombus! Please help
Answer:
120
the equation to find the area of a triangle is[tex]A[/tex] = [tex]B[/tex] · [tex]H[/tex] [tex]/ 2[/tex]
Therefore,
[tex]A=(12[/tex] · [tex]5) / 2[/tex]
[tex]A=60/2[/tex]
[tex]A=30[/tex]
There are 4 congruent triangles in this rhombus and therefore,
[tex]30[/tex] · [tex]4=120[/tex]
[tex]A=120 cm^2[/tex]
Step-by-step explanation:
A garage mesures 9 meters by 10 meters. What is the area of the garge
Answer:
90
Step-by-step explanation:
i think
Answer:
90
Step-by-step explanation:
what number makes this equation true.
_ ÷ 5=9
Answer:
45
Step-by-step explanation:
.
..
...
....
........
Answer:
45
Step-by-step explanation:
use the order of operations to simplify 4 3/5 + 15 divided by 5 - 1/5
19 2/5
8
7 2/5
24 4/5
Answer:
The answer is 7.4
Step-by-step explanation: I don’t really know a better way to tell you the explanation than just tell you the answer
The simplified expression is 7 3/5 or 7.6.
To simplify the expression using the order of operations (also known as PEMDAS), follow these steps:
Step 1: Simplify within parentheses (if any).
There are no parentheses in the expression, so we move to the next step.
Step 2: Perform multiplications and divisions from left to right.
First, let's divide 15 by 5:
15 ÷ 5 = 3
Step 3: Perform additions and subtractions from left to right.
Now, let's add 4 3/5 and 3:
4 3/5 + 3
To add the whole numbers, 4 and 3, we get 7.
To add the fractions, we need a common denominator. The common denominator of 5 and 1 is 5. Converting both fractions to have a denominator of 5:
4 3/5 + 3 = 4 3/5 + 15/5
Now, we can add the fractions:
4 3/5 + 15/5 = (4*5 + 3 + 15) / 5
= (20 + 3 + 15) / 5
= 38/5
Step 4: Express the result in mixed number form (if necessary).
38/5 can be expressed as a mixed number by dividing the numerator (38) by the denominator (5). The quotient is the whole number, and the remainder is the numerator of the fraction:
38 ÷ 5 = 7 with a remainder of 3
Therefore, the simplified expression is 7 3/5, which is equivalent to 7.6 as a decimal.
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Can I get some help ill make you brainlist and ill give 100 points
Answer:
ang E alternate angles
and D alternate angles
CDE alternate angles
Step-by-step explanation:
Answer: E and D good luck :)
Before Li started baking today, she had 9/10 kilograms of sugar. She used 2/5 kilograms of sugar for her first recipe and 15/100 kilograms of sugar for her second recipe. How much sugar does Li have left?
Answer:
7/20
Step-by-step explanation:
90/100-2/5
=1/2
1/2-15/100
=7/20
I need this ASAP!!
A milk truck delivers 386 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day.
Answer:
n = 4752 gallons
Step-by-step explanation:
Given
Dilivery: 396 dozen gallon in a day
RequirEd
determine the number of the gallon in a day
we understand that:
n= 396 dozen
unit conversion
1 dozen = 12
so
n = 396 dozen gallon
n = 396× 12
n = 4752 gallons
hence 4752 gallons milk is delivered daily
Where is the midline of this function?
Answer:
the midline is the line:
y = 0.
Step-by-step explanation:
The midline of a function is a horizontal line that divides evenly the graph of the function in two parts.
Particularly, for trigonometric functions, we usually have:
f(x) = A*sin(k*x + p) + M
Where:
A is the amplitude.
x is the variable
k is a constant related to the frequency of the function.
p is a phase shift
M is the midline of the function, which means that the line that divides evenly the graph is y = M.
For our case, we have:
y = f(x) = 3*sin(2*x - π)
Then:
A = 3
k = 2
p = -π
And we do not have a constant term in that equation, this means that:
M = 0
This means that the line that divides evenly the graph is the line y = 0.
Questio
Hint
Your school's basketball team is playing in the championship game. For the game, the
cheerleaders want to buy a banner that costs $44. They also want to buy small items to give to
students in the stands. Pompoms cost $2.23 each. Noisemakers cost $0.77 each. The cheer-
leaders have a total budget of $197 for the game.
Show Me
What number is the minimum number of lawns Myra needs to mow to meet her goal?
Answer:
1. 6
Step-by-step explanation:
500 – 350 = 150
150/25 = 6
Answer:
6 lawns
Step-by-step explanation:
She needs $500 and already has $350 saved
500-350=150
She still needs $150 to reach her goal
150/25 = 6 ($25 for each lawn)
What is the value of n in the equation
3n - 8 = 32 - n?
1.) -10
2.) -6
3.) 6
4.) 10
Answer:
n = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3n - 8 = 32 - n
Step 2: Solve for n
Add n on both sides: 4n - 8 = 32Add 8 on both sides: 4n = 40Divide 4 on both sides: n = 10Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 3(10) - 8 = 32 - 10Multiply: 30 - 8 = 32 - 10Subtract: 22 = 22Here we see that 22 does indeed equal 22.
∴ n = 10 is the solution to the equation.
Answer:Shlong dong
Step-by-step explanation:
Simplify this expression.
2(10) + 2(x – 4)
O 2x + 16
O x + 12
0 2x + 12
O
*226
Given:
The expression is
[tex]2(10)+2(x-4)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]2(10)+2(x-4)[/tex]
Using distributive property, we get
[tex]=20+2(x)+2(-4)[/tex]
[tex]=20+2x+(-8)[/tex]
[tex]=20+2x-8[/tex]
On combining like terms, we get
[tex]=2x+(20-8)[/tex]
[tex]=2x+16[/tex]
Therefore, the correct option is A.
Quick!! pls help lol!!
Answer:
I think 53
Step-by-step explanation:
If the biggest line is 100 the do 100-47=53
Sorry if I’m wrong
what type of triangle is this?
Plzz
Help with letter A
Im horrible at area :(
Plzzz
Ty
2(9x - 1) = 99-7(3 - 4x)
help please
Answer:
x = -8
Step-by-step explanation:
Distribute on both sides
combine constants
combine variables
then divide
Answer:
2(9x - 1) = 99-7(3 - 4x)
Step-by-step explanation:
2(9x + -1) = 99 + -7(3 + -4x)
The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
What’s the equation that represents the number of notebooks???plzzzzz
Answer:
The bottom choice. 0.29p + 1.59 = 5.07
Step-by-step explanation:
He only bought one notebook, therefore there doesn't need a variable assigned to it.
Pens need a variable because he buys more than one.
What is the solution of -2x +5+ x = 3 + 2x - 7
x = 3
x = -1
x=1
x=3
p l e a s e h e l p p p p !!!
Answer:
This would be the last option I think, sorry if it's wrong.
Step-by-step explanation:
Answer:last option
Step-by-step explanation:
if 4 is the constant of proportionality is this equation correct? y = 4x + 2
Answer:
4 is not the constant. 2 is.
Step-by-step explanation:
In the following equation: y = 4x + 2
x and y are variables. x can be any given number, and y would be the resulting answer.
4 is not the constant, because the product it will produce varies on what x will be.
2 is a constant, because it will not change regardless what is put into x. It will continue to stay as 2.