Taking into account the rule 1.5 IQR, there aren't high outliers in the displayed data set.
Calculation of the Interquartile Range and the rule 1.5 IQR.
To calculate the Interquartile Range IQR, you must subtract the value of the first quartile Q1, to the third quartile Q3, as you can see in the formula below:
IQR = Q3 - Q1Using the five-number summary, you can replace the formula:
IQR = 17 - 13IQR = 4Before to apply the rule 1.5 IQR, you must multiply the IQR by 1.5:
4 * 1.5 = 6Now, to apply the rule you must add the value obtained (6), to the third quartile (17), if any data is over this, theoretically it's an outlier:
17 + 6 = 23 (As you do not have any data over this value, it is identified that there are no outliers in the upper section).Finally, you must subtract the value obtained (6) to the first quartile (13), if any data is under this, theoretically it's an outlier:
13 - 6 = 7 (Since you don't have any castle data built before this century, there wouldn't be any theoretically outliers either).By this reason, using the rule of 1.5 IQR, you can see there aren't outliers in the displayed data set.
If you want to study more exercises using data sets, you can see this link https://brainly.com/question/16445367?referrer=searchResults
Answer:
The answer is 0
Step-by-step explanation:
It said it was right on khan!
Graph the compound inequality on the number line.
x≤4 or x≥8
Answer:
x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right
Step-by-step explanation:
Not sure how to explain it.
Simplifying fractions Sheet 2
Simplifying fractions:
1) [tex]\frac{14}{20} =\frac{7}{10}[/tex] 2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]
3) [tex]\frac{9}{12} =\frac{3}{4}[/tex] 4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]
5) [tex]\frac{8}{18} =\frac{4}{9}[/tex] 6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]
7) [tex]\frac{12}{16} =\frac{3}{4}[/tex] 8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]
9) [tex]\frac{15}{35}=\frac{3}{7}[/tex] 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]
11) [tex]\frac{11}{55}=\frac{1}{5}[/tex] 12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]
13) [tex]\frac{16}{26} =\frac{8}{13}[/tex] 14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]
15) [tex]\frac{18}{24} =\frac{3}{4}[/tex] 16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]
17) [tex]\frac{4}{32} =\frac{1}{8}[/tex] 18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]
Hope this helps :)
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
The height of a certain mountain in California is 14,857 ft. The depth of a known trench in the Pacific Ocean is - 23,128 ft. What is the difference between the height
of the mountain and the depth of the trench?
Answer:
The difference between the height of the mountain and the depth of the trench is 8,271 ft.
Step-by-step explanation:
brainliest plz?
If 8 men or 17 boys do a piece of work in 26 days, in how many days will 4 men and 24 boys take do a piece of work 5 times as great ?
Answer:
which class Of question is this
14. Determine the y-intercept of the quadratic function f(x) = x^2+ 8x - 13
please give detailed steps/walkthrough!! thank you
Answer:
When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.
In this question... We needed the y - Intercept
Know This: At the intercept of a mentioned axis...The other axis is zero at that point.
In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa
So To find the y Intercept... the x value at this point is zero(0).
With this in Mind...
substitute x = 0 into the quadratic eqn
f(x) = 0² +8(0) - 13
f(x) = -13
This is Our Y Intercept .
To get the x intercept(if asked)
substitute y = 0 and solve
0 = x² + 8x - 13
This is a quadratic equation
Solving this would get you two value and those values would be your x intercept.
I hope it helps.
Have a great day.
Simplify the complex question: n/4 / 3/8
Answer:
[tex] \frac{2n}{3} [/tex]
hope, I'm right
Answer:
[tex] \frac{2n}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ \frac{n}{4} }{ \frac{3}{8} } = \frac{n}{4} \div \frac{3}{8} [/tex]
[tex] \frac{n}{4} \times \frac{8}{3} = \frac{n \times 8}{4 \times 3} [/tex]
[tex] \frac{n \times 2}{3} = \frac{2n}{3} [/tex] ✅
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
7 chickens laid 35 eggs. How many eggs will be laid by 40 chickens?
Plz help
Answer:
200
Step-by-step explanation:
How to solve 3/7m=6 ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef
Answer: De and Ef
Step-by-step explanation:
Please help..........................
Answer:
x=30 degree is the answer
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
f(x) = -x +11
g(x) = 3x^2– x+ 14
9514 1404 393
Answer:
(g·f)(9) = 496
Step-by-step explanation:
One way to do this is to find the values of g(9) and f(9).
g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248
f(9) = -(9) +11 = 2
Then ...
(g·f)(9) = g(9)·f(9) = 248·2
(g·f)(9) = 496
Welp plss this i do 360/30??
Answer:
12 sides
Step-by-step explanation:
its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.
180n-360=150n30n=360n=360/30=12what is the diagnosis of a rectangular room which measures 16 feet by 7 feet
Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?
a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11
Which choices are equivalent to the expression below? Check all that apply.
5/3
O A. 15.15
B. 75
C. 45
D. 25/3
E. 75
F. 13.5
What is the slope of the line?
6x+10y=86x+10y=8
Answer:
D. -3/5.
Step-by-step explanation:
6x + 10y = 8
We convert this to slope-intercept form:
Subtract 6x from both sides of the equation:
10y = -6x + 8
Divide through by 10:
y = -6/10 x + 8/10 (Slope-intercept form)
The slope is -6/10
= -3/5.
Help me please please this is due in 10 mins!!!!!
Answer:
that's cheating, still your indian bro will help _XD
Step-by-step explanation:
ab = 34
bc 33
ac 27
pq 27
qr 27
pr 40
solve missing values for triangles
Answer:
32±b±90=180(being the three angle of a treangle)
32±90±b=180
122±b=180
B=180-122
b=58 answer
90±23±d=180(being three angle of the trangle)
113±d=180
d=180-113
d=78 answer
Answer
:.b=58
:.d=78
Thank you
Eli wants to buy a video game that costs 35$ he has a 25$ coupon how much is the discount what will he pay for the video game
Answer:
He will pay $10
Step-by-step explanation:
35-25=10
please solve my difficult question fast
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Step-by-step explanation:
2x+65°+(x+65°)=180° ( sum of angle of straight angle )
3x+65°+65°=180°
3x=180°-130°
3x= 50°
now,
i) 2x=2*50=100°
ii) (x+65°) = 50+65 =115°
plz mark me brainiest and thanks
have a good day ahead...
(-_-)
Which graph shows a set of ordered pairs that represents a function?
1466899876+245689999999&&
please mark this answer as brainlist
Answer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
10 x 4 thousands =_______ thousands = _________
Answer:
40 000
Step-by-step explanation:
4 thousands = 4000
10 x 4000 = 40 thousands = 40 000
Answer:
40,000
Step-by-step explanation:
joe mixed 10 ozs of blue paint with 4 oz of white paint. he wants to make a batch using 18 oz of white paint, how much blue paint should he use?
explanation would be nice!!
Answer:
45oz
Step-by-step explanation:
We can find the ratio of white to blue paint he needs by dividing.
10 / 4 = 2.5oz of blue paint for every ounce of white paint
Now, we can multiply to find how much blue paint he needs.
18 * 2.5 = 45oz
Best of Luck!
Write 52,640 in scientific notation. Please
Answer:
5.264 * 10^4
Step-by-step explanation:
We put a decimal point to the right of the number, so
52640.
Then we move it to the left until we get a number that is between 1 and 10.
5.2640
This was four hops to the left.
We can remove the trailing 0, and write
5.264 * 10^4
10^4 because of the four hops
Answer:
5.264×10^4
Step-by-step explanation:
10^4 = 10,000 x 5.264 = 52,640
Mathematicians please help me solve this question. Am marking the brainliest.
Step-by-step explanation:
Let [tex]x = r\cos{\theta}[/tex] and [tex]y = r\sin{\theta}[/tex]. Substituting these into our equation, it becomes
[tex]\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1[/tex]
or
[tex]9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 225[/tex]
Let use the identity [tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex] to express the equation in terms of sine only:
[tex]9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 225[/tex]
which simplifies to
[tex]r^2(9 + 16\sin^2{\theta}) = 225[/tex]
Taking the square root and solving for r , we get the polar form of the equation as
[tex]r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}[/tex]
Answer:
x = r\cos{\theta}x=rcosθ and y = r\sin{\theta}y=rsinθ
\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1
25
r
2
cos
2
θ
+
9
r
2
sin
2
θ
=1
or
9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 2259r
2
cos
2
θ+25r
2
sin
2
θ=225
Let use the identity \cos^2{\theta} = 1 - \sin^2{\theta}cos
2
θ=1−sin
2
θ
9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 2259r
2
−9r
2
sin
2
θ+25sin
2
θ=225
which simplifies to
r^2(9 + 16\sin^2{\theta}) = 225r
2
(9+16sin
2
θ)=225
Taking the square root and solving for r ,
r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}r=
9+16sin
2
θ
15
six more than twice a number is ten. find the number 8th grade math
write the equation
solve for the variable
Answer:
x = 2
Step-by-step explanation:
Equation: 2x + 6 = 10
2x = 4
x = 2
Answer:
let the number be x
then
2x + 6 = 10
2x = 10-6
2x = 4
x = 2
mark me as brainliest