Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74
Median is the most appropriate measure of central tendency.
The least appropriate = mean
Yes there is an outlier.
Step-by-step explanation:
Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.
First arrange them in increasing order, [tex]\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74[/tex]
Its sum = 35
Mean of n observations = (Sum of observations) ÷ n
Mean = (35) ÷ 10
=3.5
Here n =10 (even)
Median = average of middle most numbers = [tex]\dfrac{2+3}{2}=\dfrac52=2.5[/tex]
Mode = most repeated number = 2 (thrice)
geometric mean = [tex]\sqrt[n]{x_1\times x_2\times.... x_n}[/tex]
10 is an outlier as it is very large as compare to other numbers.
When outlier is present in data , the median is the most appropriate measure of central tendency.
Mean affected badly by the outlier so it the least appropriate.
Which ordered pair is in the solution set of the system of inequalities shown in the graph below
The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).
Anf for the equation x - 1 > 0, x > 1
The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).
The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).
The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ5
2. A coin is tossed, then a
letter from the word
INDIANAPOLIS is selected at
random. Find each
probability.
The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.
Probability for getting head or tell:
P(h) = 1/2
P(t) = 1/2
The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's
Probability for getting letter P:
P(getting letter P) = 1/12
P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24
P(tails) = 1/2
P(getting a vowel) = 6/12 = 1/2
P(tails then a vowel) = (1/2)(1/2) = 1/4
P(tails then N) = (1/2)(2/12) = 1/12
P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6
Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Write the correct name for each of the following polygons.
Answer:
a. Pentagon (The figure has 5 sides.)
b. Triangle (The figure has 3 sides.)
c. Hexagon (The figure has 6 sides.)
d. Hexagon (The figure has 6 sides.)
Step-by-step explanation:
PH
What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°
Answer:
<1 =126
Step-by-step explanation:
<2 = 126 since they are vertical angles
<1 = <2 since they are alternate interior angles
<1 =126
Roberto has a certain number of songs on his MP3 player.
Each week, he plans to add 4 more songs. After 5 weeks, he
had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I’ve done this math I know I am right!
the sum of a group of numbers is the same regardless of the order in which the numbers are arranged
Answer:
Commutative property
Answer:
its commutative property
I am struggling!! Help!!
Answer:
facts
Step-by-step explanation:
Answer:
[tex]y= 9/4x+5[/tex]
Step-by-step explanation:
I'll go over #7 and you should be able to do the rest.
Slope intercept form general equation is:
y = mx + b
I bolded the value you need to change/find.
m is the slope
b is the y-intercept
You can calculate m using:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
you're given (-4,-4) and (0,5) so y₂=5, y₁=-4, x₂=0, x₁=-4
[tex]m=\frac{5-(-4)}{0-(-4)}=9/4[/tex]
Plug your value into the point-slope formula.
[tex]y = m(x-x_1)+y_1[/tex]
[tex]y = (9/4)(x-(-4))+(-4)[/tex] simplify it
[tex]y= 9/4x+5[/tex] the simplified form is the slope-intercept formula
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
the perimeter of a rectangle id 34 units. Its width is 6.5 units. Write an equation to determine the length of the rectangle
6 cans of soup cost $12. Fill in the correct number over or under each hash mark. How much does one can of soup cost ?
Answer:
12 / 6 = $2
Step-by-step explanation:
Answer:
they each cost 2 dollors
Step-by-step explanation:
2 + 6d = _____ d = 8
Answer:
The answer is 50 :)
Step-by-step explanation:
Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.
Which example does NOT show the commutative property of addition?
a. 4 + x = x + 4
b. ab=ba
c. a + b = b + a
d. 3x + 4y = 4y +3x
Enter 72% as a fraction in the simplest form
Answer:
18/25
Step-by-step explanation:
72% = 72/100
72/100 simplified
=18/25
Kelly,Marvin and Indhu saved $100 altogether.Kelly saved $16 more than Indhu .Marvin saved twice the amount Indhu saved. How much did kelly save?
Answer:
$37
Step-by-step explanation:
Let $x be the amount Kelly saved.
Kelly saved $x.
Indhu saved $(x-16). (Kelly saved $16 more than Indhu)
Marvin saved $2(x-16). (Marvin saved twice the amount Indhu saved)
They saved $100 together.
Therefore we could set up an equation.
x+(x-16)+2(x-16)=100
x+x-16+2x-32=100
4x=148
x=37
Therefore Kelly saved $37.
can someone please teach me how to find the value of x ?
Answer:
The value of x is approximately 13.58
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Answer: y ≥ − 2
Step-by-step explanation : hope it helps :)
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but costs $0.13 for each minute of calls.
For what amount of calling do the two plans cost the same?
minutes
What is the cost when the two plans cost the same?
$
Answer:
525; $68.25
Step-by-step explanation:
21+.09x=.13x
x=525
21+.09(525)=68.25
.13(525)=68.25
The answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
A)
Let's assume the amount of calling is x for which the two plans cost the same.
So , the algebraic expression can be written as ;
Plan A = Plan B
or
21 + (0.09 × x) = 0 + (0.13 × x)
Solving this we will get amount of calling for which the two plans cost the same as :
21 = 0.13x - 0.09x
0.04x = 21
x = 525 minutes
B)
Now , the cost when two plans cost the same amount :
Plan A = 21 + (0.09 × 525) = 21 + 47.25 = $68.25
or
Plan A = Plan B = $68.25
Therefore , the answers are :
A) The amount of calling for which the two plans cost the same will be 525 minutes.
B) The cost when two plans cost the same amount is $68.25.
Learn more about algebraic expression here :
https://brainly.com/question/2164351
#SPJ2
What is the volume of the pyramid?
A 17cm^3, 56cm^3, 84cm^3 or 168cm^3
Answer:
56cm2
Step-by-step explanation:
1÷3×4×6×7
=56cm2
Find the area of the parallelogram in square units.
What is 1(y), when y= -5/8
A. -5/8
B. 5/8
C. 3/8
D. -8/5
Answer: A
1(y) will still equal -5/8
we know y = -5/8
1 x -5/8 = -5/8
answer is a
Solve the following for b: V = a^2 (5+b)
Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation
Answer: A
Step-by-step explanation:
Answer:
A. Reflection, rotation, translation
Step-by-step explanation:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.Consider this quadratic expression.
x² – 10x + c + 11 – c
What value of c is needed to complete the square for this expression?
A. 10
B. 20
C. 25
D. 100
Answer:
c = 25Step-by-step explanation:
Given this quadratic expression.
x² – 10x + c = 0
We are to find the value c that will make the expression a perfect square'
Using the completing the square method
Add the square of the half of coefficient of x
Coefficient of x = -10
Half of -10 = 1/2(-10) = -5
Square of -5 = (-5)^2 = 25
Hence the value of c to complete the expression is 25
Change 2x+y=-4 into slope-intercept form with steps
The graphs of two lines are shown.
HELPP
9514 1404 393
Answer:
A) y = -3x +7
B) y = (7/3)x
Step-by-step explanation:
Maybe you want the equations of the lines.
Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.
A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3
b = 7
So, the equation y = mx+b is ...
y = -3x +7
__
B) m = (7 -0)/(3 -0) = 7/3
b = 0
The equation is ...
y = (7/3)x
I need help please help
Me
Answer:
Step-by-step explanation:
X=6
What are the coordinates of points a
(-4,3)
(3,-4)
(-3,-4)
(-4,-3)
what are the coordinates of point h?
Answer:
(-1.5, 3) are the coordinates of point h
how many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)
Answer:
6.25 miles
Step-by-step explanation:
To find how many miles they ran, divide the number of kilometers by 1.6
10/1.6
= 6.25
So, they ran 6.25 miles
Isabella earns interest at an annual rate of 10% compounded annually on her savings account. She deposits $2,000 into her account. What is the total amount of money Isabella will have in her account after 2 years? (Use the formula to calculate compound interest