Given:
The data values are:
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
To find:
The outliers of the given data set.
Solution:
We have,
7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19
Divide the data set in two equal parts.
(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)
Divide each parenthesis in two equal parts.
(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)
Now,
[tex]Q_1=\dfrac{11+13}{2}[/tex]
[tex]Q_1=\dfrac{24}{2}[/tex]
[tex]Q_1=12[/tex]
And
[tex]Q_3=\dfrac{16+16}{2}[/tex]
[tex]Q_3=\dfrac{32}{2}[/tex]
[tex]Q_3=16[/tex]
The interquartile range is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=16-12[/tex]
[tex]IQR=4[/tex]
The data values lies outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex] are known as outliers.
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6][/tex]
[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[6,22][/tex]
All the data values lie in the interval [6,22]. So, there are no outliers.
Hence, the correct option is 4.
The sketch shows two parallel lines cut by a transversal. Which set of angle pairs are NOT corresponding angles? 2 parallel lines cut by a transversal. The angles formed with the first line, starting at the top left space and going clockwise are: 1, 2, 4, 3. The angles formed with the second line are 5, 6, 8, 7.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Please find the graph file in the attachment.
In this question, the Alternate Interior Angles are being used by the angles created mostly by the intersecting intersection of two parallel or non-parallel lines. Its angles were located at the upper lid and lay opposite to a cross-section. Its angles are diagonal throughout the transverse and inside the parallel lines. Angles <3 and <6 are hence interiors which are alternating. Alternative insides are <4 and <5.
How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent
Answer:
$610.70
Step-by-step explanation:
[tex]a = pe^{rt}[/tex]
a = 500 [tex]e^{.05 * 4}[/tex]
a = $610.70
a hard one, help me out!
Answer:
It is the last one: (4x-9)(x+8)
Step-by-step explanation:
You have to split the "b", or split the 23x so that you can perform grouping, and then combine.
Answer:
(4x-9)(x+8)is the correct answer
SOMEONE HELP ME !!!
The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!
Answer:
H
Step-by-step explanation:
lets say the first big square has side s, so the area will be s²
then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9
the area of the smaller square is 1/9 smaller than the area of the big square
In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?
Answer:
14 units is the answer
Step-by-step explanation:
^_^^_^^_^^_^^_^
Determine the measure of <0
20.21°
0.005
73.74°
16.26°
Answer:
16.26°
Step-by-step explanation:
1. tanΘ= 7/24
2.[tex]tan^-1(\frac{7}{24} ) =[/tex]Θ
3. Θ = 16.26°
Whole numbers are _______ intergers
1. Never
2. Always
3. Sometimes
Answer:
Whole numbers are ALWAYS integers.
In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?
Answer: 3172
Step-by-step explanation:
There is $1.90 in a jar filled with
quarters, dimes, and nickels.
There are 2 more quarters than
dimes and there are 2 more
nickels than quarters.
How many of each coin are there?
Answer:
7 nickels, 5 quarters, 3 dimes
Step-by-step explanation:
7 nickels= 35 cents
5 quarters= $1.25
3 dimes= 30 cents
35+ 1.25+ 30= $1.90
Hope this helps!
Plz mark Brainliest if u can :)
what is the volume of the figure. answer plz.
Answer:
Volume: 37.692 cm3
Step-by-step explanation:
1) 1/3 x 3.14 x 3 power of 2 x 4
2) 1.047 x 9 x 4
3) 37.692 cm3
Answer:
[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]
[tex]r=3cm[/tex]
[tex]h=4 cm[/tex]
[tex]volume=\pi /3\times3^{2} \times4[/tex]
[tex]=12\pi =12\times3.14[/tex]
[tex]=37.68~ cm^{2}[/tex]
-----------------------
hope it helps...
have a great day!!
please someone help me
Answer:
21.3 cm^2
Step-by-step explanation:
The altitude from vertex A to side BC has length
h = 8 sin 26.4°
h = 3.56
area = bh/2
area = 12 cm * 3.56 cm / 2
area = 21.3 cm^2
Answer:
21.312
Area= (a x b x sin c)/2
or you can use heron's formula (look that one up)
area = (8* 12* sin(26.4))/2 = 21.312
Step-by-step explanation:
do linear relationships have a constant rate of change
Answer:
Yes my son they do so yeah
Step-by-step explanation:
Cuz I know
430,400,000+342,000,000 adding scientific notation
Answer:
772,400,000
Step-by-step explanation:
Hope This Helps :) :) :)
Sierra king is a nail technician she allows 20 minutes for a manicure and 45 for a pedicure in her 7 hour work day no more than 5 pedicures can be scheduled each day the prices are $18 for a Medicare and $45 for a pedicure how many manicures and pedicures should ms.king schedule to maximize her daily income? what is her maximum daily income?
Answer: the income is 369$
Step-by-step explanation:
Which of the equations below have the decimals aligned correctly? Check all that apply.
3.012
+ 4.21
6.71
+ 1.40
12.315
- 0.129
32.002
12.32
Answer:
B and C
Step-by-step explanation:
Decimals are well aligned when performing arithmetic operations if the equations are arranged in such a way that the decimal points are exactly vertically arranged, each following each other. This will ensure the right answer is gotten. Each place value is placed on the same vertical line on each other.
The equation in option B is correctly aligned. Because the decimal points are in the same vertical line and also the equation in option C.
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
I have absolutely no clue sorry buddy
Step-by-step explanation:
There is no step-by-step explanation
Answer:
Hi
Step-by-step explanation:
I can help you
2. Area of a rectangle 40 cm2
So. We know the area AND one of the sides of the rectangle.
We can calculate the area.
We know that area=length times width
so
A=lw
Rearrange that for w:
w=A/l
w=40:8
w=5
Now we know both l and w
Now we can calculate the perimeter
P=2a+2b
P=2(a+b)
P=2(8+5)
P=2(13)
P=26
I hope it is correct
e) (x + 1)/(2x ^ 3 - 4x ^ 3) + (x - 1)/(2x ^ 3 + 4x ^ 2) = 1/(x ^ 2 - 4)
Answer:
X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0
Step-by-step explanation:
find the gradients of line a and b
Answer:
Gradient of A: 2
Gradient of B: -1
Step-by-step explanation:
Gradient = change in y/change in x
✔️Gradient of A using two points on line A, (2, 5) and (0, 1):
Gradient = (1 - 5)/(0 - 2) = -4/-2
Simplify
Gradient of A = 2
✔️Gradient of B using two points on line B, (0, 5) and (5, 0):
Gradient = (0 - 5)/(5 - 0) = -5/5
Simplify
Gradient of B = -1
Which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an = 5+ (n-1)2?
Answer:
[tex]a_1 = 5[/tex]
[tex]a_n = a_{n-1} + 2[/tex]
Step-by-step explanation:
Given
[tex]a_n = 5 + (n - 1)2[/tex]
Required
The equivalent recursive function
The general explicit function is:
[tex]a_n = a_1+ (n - 1)d[/tex]
So, by comparison
[tex]a_1 = 5[/tex]
[tex]d = 2[/tex]
The recursion of an arithmetic sequence is:
[tex]a_n = a_{n-1} + d[/tex]
Substitute 2 for d
[tex]a_n = a_{n-1} + 2[/tex]
Hence: (a) is correct
What is the area of a cross section that is parallel to face BFGC?
Answer: 216cm2
Step-by-step explanation: 36x6
**Does anybody knows how to do it***
instructions: state what additional information is required in order to know that the triangle are congruent for the given reason.
Given: ASA
With ASA, we need two angles and an included side. An included side is one that is between the two angles.
But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.
Therefore, we need to know that side JI is congruent to YX.
Hope this helps!
Help me to find the product plz (opt math)
Answer:
hope it helps.stay safe healthy and happy...Answer:
[tex]\left(sin\theta -cos\:a\right)\left(cos\:a+sin\theta \right)[/tex]
(sin(θ)-cos(a))(cos(a)+sin(0))
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
a=sin(θ),b=cos(a)
= sin²(θ)-cos²(a)
-------------------------------
hope it helps...
have a great day!!
WILL GIVE BRAINLIEST IF CORRECT!
Write an equation that represents the line. Use exact numbers.
Answer:
y=0.5x-3.5
Step-by-step explanation:
(-4)-(-5)=1
3-1=2
1/2=0.5
y=0.5x-3.5
Answer:
[tex]y=-2y-7[/tex]
Step-by-step explanation:
Coordinates plotted on the equation:
[tex](1,-4)[/tex]
[tex](4,-5)[/tex]
{check the image for your reference}
a bag contains 3 white balls and 4 red balls. A.second bag contains 4 white balls and 3 red balls. If a bag is picked at random from each bag. Find the probability that both are white
Answer:
12/49 chance that they are both white
Step-by-step explanation:
We have 2 events going on:
The first bag that contains: 3 white, 4 red
The second bag that contains: 4 white, 3 red
First let's find the probability of picking a white ball from each individual bag (not combing the chances yet):
For the 1st bag, there are 3 white balls out of 7 balls (add 3 and 4).
That means there's a 3/7 chance you'll get a white ball from the 1st bag.
For the 2nd bag, there are 4 white balls out of 7 balls (add 4 and 3).
That means there's a 4/7 chance you'll get a white ball from the 2nd bag.
To find the probability of getting both white from both of the bags, multiply 3/7 & 4/7:
3/7 * 4/7 = 12/49
You can't simplify 12/49 further, so that's your answer!
Hope it helps (●'◡'●)
Answer:
2/6Step-by-step explanation:
_______________________________hope it helps________the answer is... 2/6
Simplify the expression 7(9 + k).
Answer:
The answer is 63+7k. :))
Answer:
7k+63
Step-by-step explanation:
Distribute the 7 into the expression 9+k
so 7*9=63
and 7*k=7K
Graph the solutions of the inequality on a number line. Describe the solution to the inequality. c ≤ -2
open dot at –2; shade all the points to the right of –2
closed dot at –2; shade all the points to the right of –2
open dot at –2; shade all the points to the left of –2
closed dot at –2; shade all the points to the left of –2
Answer:
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.
The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.
The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2
Find out more on inequality at: https://brainly.com/question/24372553
Find the equation of tangent to circle x^2+y^2 = 3 which makes angle of 60 ° with x-axis.
Step-by-step explanation:
hope it helps thnak you
brainliest pls ❤
Someone please help me ASAP!!! Worth 11 points
Answer:
A' = (-3, 0)
Step-by-step explanation:
The coordinates of point A are (-6, 2).
The translation adds 3 to x and subtracts 2 from y.
A'(-6 + 3, 2 - 2) = A'(-3, 0)
Answer: A' = (-3, 0)
Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?
Can someone help me with this math homework please!
Step-by-step explanation:
these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.
come on ! are you really not understanding this ?
I think you are not trying to learn and get better, you try to get others doing your work for you.
these problems are so simple that stating them here costs you more time than just solving them.
remember fractions ?
remember the problems to find the smallest common denominator for a list of fractions ?
the first question is exactly that.
what is the smallest common denominator of 3/4, 1/3 and 1/2 ?
because that is the number you need to multiply both sides to eliminate all fractions.
so, what is the smallest number that can be split by 4, 3 and 2 ?
is it 2 ? no, 4 and 3 can't do that.
is it 3 ? no, 2 and 4 can't do that.
...
is it 6 ? no, 4 can't do that.
...
is it 8 ? no, 3 can't do that.
...
is it 12 ? yeah ! all 3 can do that.
here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.
here it would be
2×3×4 = 24
but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.
"isolate the variable" means having it only on one side of the equation.
so, what do you think ?
subtracting any constants does not change anything for "j".
from all the offered options only the subtraction of 1.1j eliminates j from one side.
the runners save.
you only need to translate the words into the corresponding mathematical symbols.
runner 1 has $112 already saved.
that is our starting value for this runner.
so, 112 + ...
received a $45 gift card. so, $45 are added.
so, 112 + 45 + ...
saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.
so, 112 + 45 + 25m
we know already, it is the second option.
but for training purposes let's look at runner 2 too :
he starts with $50 already saved.
so, 50 + ...
saves $60 each month (m). same principle as above.
so, 50 + 60m
if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.
-3x + 1 + 10x = x + 4
how do we solve this ?
by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).
1 + 7x = x + 4
1 + 6x = 4
6x = 3
x = 3/6 = 1/2
hurray, it is the first option !