Find the interquartile range (IQR) and list any outliers: 60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74 A. IQR = 39: 89 is an outlier B. IQR = 17: no outliers C. IQR = 39: no outliers D. IQR = 17: 50 is an outlie
Given:
The data set is 60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74.
To find:
The IQR and outliers.
Solution:
The given data set is
60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74
Arrange the data values in ascending order.
50, 54, 60, 62, 67, 70, 70, 74, 74, 82, 88, 89
Divide the data set in two equal parts.
(50, 54, 60, 62, 67, 70), (70, 74, 74, 82, 88, 89)
Divide each parentheses in two equal parts.
(50, 54, 60), (62, 67, 70), (70, 74, 74), (82, 88, 89)
Now,
[tex]Q_1=\dfrac{60+62}{2}[/tex]
[tex]Q_1=\dfrac{122}{2}[/tex]
[tex]Q_1=61[/tex]
And,
[tex]Q_3=\dfrac{74+82}{2}[/tex]
[tex]Q_3=\dfrac{156}{2}[/tex]
[tex]Q_3=78[/tex]
We know that, the inter quartile range is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=78-61[/tex]
[tex]IQR=17[/tex]
The IQR is 17.
If the data values lie outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex], then those values are known as outliers.
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[61-1.5(17),78+1.5(17)][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[35.5,103.5][/tex]
All data values lie in the interval [35.5,103.5]. So, there are no outliers.
Therefore, the correct option is B.
Determine the value of the variable from the image below.
Answer:
x=29Step-by-step explanation:
to understand the solving stepsyou need to know about:right angleequationPEMDASto solve:xlet's solve:a right angle contains 90° (always)
according to the question
x+3+x-1+x+1=90
3x3=90
x=87
x=29
solvedIf 8 more than twice a number is equal to 20, what is 6times the number ?
Answer:
36
Step-by-step explanation:
2x + 8 = 20
2x = 20 - 8
2x = 12
x = [tex]\frac{12}{2}[/tex]
x= 6
6x
6(6) = 36
Work out m and c for the line:
3y + 2x = 1
Answer:
3y=1-2x
y=(1-2x)/3
m=-2/3x
c=1/3
Step-by-step explanation:
you invested $1,900 at a 4% interest compounded annually for 3 years.how much interest did you earn in 3 years
Answer:
The amount is $2137.24 and the interest is $237.24.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A = P[tex](1+\frac{x}{y} )nt[/tex]
A = total amount P = principal or amount of money deposited, r = annual interest rate n
= number of times compounded per year t = time in years In this example we have
P = $1900 , r = 4% , n = 1 and t = 3 years
After plugging the given information we have
A = 1900 [tex](1+\frac{0.04}{1})^{1*3}[/tex]
A = 1900 · 1.0[tex]4^{3}[/tex]
A = 1900 · 1.124864
A = 2137.24
STEP 2: To find interest we use formula A = P + I, since A = $2137.24 and P = $1900 we
have:
A = P + I
2137.24 = 1900 + I
I = 2137.24 − 1900
I = 237.24
The length of a rectangular building is 4 feet more than 3 times the width. The perimeter is 84 feet. Find the width and length of the building.
Answer:
Width=9.5, Length=32.5
Step-by-step explanation:
Let x be the width of the rectangle,
The length is 4 feet more than 3 times the width,
The length= 3x+4
The perimeter is
2(x)+2(3x+4)=84
2x+6x+8=84
8x=76
x=76/8
x=9.5
The Width=9.5
Length= 3(9.5)+4=32.5
Guys please which one is the right answer. I need help
Answer:
The equation would be 8n + 11 = 3n + 26.
Answer:
I'm gonna assume we're talking about "n".
b) 8n+11=3n+26 (because they are corresponding angles)
n=3
Step-by-step explanation:
8n+11=3n+26
simplifying:
8n-3n+11-11=3n-3n+26-11
5n=15
n=3
- What is the slope of a line that passes through the points (3, -10.5) and (7.-28.5)?
A
-2/9
B
-9/2
c
2/9
D
9/2
Answer:
It is B
Hope this helps!
The slope of the line that passes through the point (3, -10.5) and (7.-28.5) will be -5
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that the line that passes through the points (3, -10.5) and (7.-28.5)
To find the slope of the line that passes through points (3, -10.5) and (7.-28.5).
Therefore, the slope of the line is;
m = Δy/Δx
m = (-28.5- 10.5)/(7 - 3)
m = -20/4
When we simplify it, then we get;
m = -5
Hence, the slope of the line is -5.
To know more about the Slope of the line here;
brainly.com/question/14511992
#SPJ2
What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?
(5 points)
A.) (y − 2) = −3(x − 1)
B.) (y − 2) = 3(x − 1)
C.) (y − 1) = −3(x − 2)
D.) (y + 2) = 3(x + 1)
Please make sure the answer is correct
Answer:
B
Step-by-step explanation:
First, find the slope by using change in y divided by change in x.
Change in y = 5 - 2 = 3
Change in x = 2 - 1 = 1
This means that the slope is 3/1 = 3.
Then, you put it in the point-slope form so:
(y - 2) = 3(x - 1)
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar.
y=-3x2 + 197x –
1279
Answer:
$1954
Step-by-step explanation:
Given the profit function expressed as;
y=-3x^2 + 197x – 1279
The profit is at maximum when dy/dx = 0
dy/dx = -6x + 197
0 = -6x+197
6x = 197
x = 197/6
x = 32.83
substitute 32.83 into the modeled function
y=-3x^2 + 197x – 1279
y -3(32.83)²+197(32.83) - 1279
y = -3(1,078.03)+6,467.51 - 1279
y = -3,234.09+6,467.51-1279
y = 1,954.42
hence the maximum amount of profit the company can make, to the nearest dollar is $1954
34 + 2 ⋅ 5 =
I really need help with this
Answer:
44
Step-by-step explanation:
PEMDAS
34+2*5
34+10
44
A bag with 10 marbles has 2 blue marbles, 4 yellow marbles, and 4 red marbles. A marble is chosen from the bag at random. What is the probability that it is blue? Write your answer as a fraction in simplest form.
Answer:
1/5
Step-by-step explanation:
There are 2 out of 10 that are blue so in fraction form thats 2/10 so when you simplify it, the simplest form is 1/5
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Can some one help me please?? x+7 1/3=18 2/3
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form: x = 34 /3
Decimal Form: x = 11. ¯ 3
Mixed Number Form: x = 11 1 /3
Step-by-step explanation:
hope this helps!
-8+4w+4
Simplify the expression
Answer:
4w- 4
Step-by-step explanation:
HELP! Austin is going to invest $94,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Austin to end up with $157,000?
Answer: 3.7%
Step-by-step explanation:
Given: ΔLMN ≅ ΔPQR Find: m
Determine the value of 3p if p =
6
Answer:
18
Step-by-step explanation:
What is 5/12+3/12 it’s for my homework
Answer:
2/3 or 8/12
Step-by-step explanation:
3 + 5 = 8
so
8/12
simplified its
2/3
Answer:
8/12 <-- ADD
Simplified it would be: 2/3 <--- DIVIDE
Hope this helps!!♥︎Find the percent of change.
From $18 to $45.
Answer:
150
Step-by-step explanation:
(45-18):18*100 =
(45:18-1)*100 =
250-100 = 150
Answer:
Hope this helps
Step-by-step explanation:
Since your going from 18 to 45, your increase of percentage would be 150%, and the difference is 27.
Work out the surface area of the prism.
17.5 en
14 cm
10.5 CM
8 cm
cm2
Submit Answer
Answer:
Step-by-step explanation:
Hidaya is mailing packages. Each small package costs her $2.40 to send. Each large package costs her S3.70. How much will it cost her
to send 6 small packages and 1 large package?
Answer:
18.10
Step-by-step explanation:
6x2.40= $14.40 + $3.70= 18.10
Answer:
18.1 dollars
Step-by-step explanation:
2.40x6+3.70
help need plzzzzzzzzz
Answer:
The answer to the question provided is possibly 2.
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: 3y + 77 = 2y + 79 \\ \frac{ - 2y \: \: \: \: \: \: = - 2y}{1y + 77 = 79} \\ \frac{ \: \: \: \: \: \: \: \: - 77 = - 77}{ \frac{1y}{1} = \frac{2}{1} } \\ \\ y = 2[/tex]
using the image below, find the value of x.
Answer:
x = 4
Step-by-step explanation:
6x+6=70 subtract 6 on both sides leaves you with 16x=64 divide by 16 on both sides..
Leaving you with the answer 4x
Explain how you could set up an equation to find the amount of money you should save each week to buy the iguana that’s $9 in 6 weeks.
Which sentence can represent the inequality
2(4+9w)=
answer pls
kkkkkk
Answer:
simplify the expression:
8 + 18w
Step-by-step explanation:
i hope this helps!
Answer: 8 + 18w
Step-by-step explanation: PLs mark me as brainlisti have great day
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answer: Half
Step-by-step explanation:
10|x+8| - 13 = -2|x+8|+11
Two functions are given below f(x) and h(x) State the axis of symmetry for each function and explain how you found it
Answer:
The axis of symmetry is the horizontal shift. If I am not wrong, you might be learning about absolute value functions or parabolas.
The absolute value function: f(x)= a|x-h|+k
The parabola (Vertex form of a quadriceps function): f(x)= a(x-h)^2+k
The variable ‘h’ is the horizontal shift, in other words, the axis of symmetry