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.
What is the slope of the line through (2, 10) and (-2, 17)?
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?
Answer:
27 years oldStep-by-step explanation:
Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? SolutionDaniel = d, Sara = s, Luke = l, Rachel = r
We get below relations:
d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45sSum of ages:
d + s + l + r = 141Substitute and solve for s:
0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60Rachel's age is:
r = 0.45*60 = 27The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
Television screens are usually described by the length of their diagonal measure. What would the diagonal measure be for a television whose dimensions are 54 inches by 28 inches?
A) 61 inches
B) 71 inches
C) 81 inches
D) Unable to determine with given data.
Answer:
A
Step-by-step explanation:
61 inches
Step-by-step explanation:
61inches is answer.. .. ..
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
What is the vertex for y=x^2-3+2
Answer:
-1
explanation:
because I used a graphing calculator
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed
Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
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
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.Easy math (17 points))
Answer:
A-8.25 B-43.2 C-248.5
Step-by-step explanation:
Answer:
A-8.25
B-43.2
C-248.5
Step-by-step explanation:
Square ABCD is shown in the xy-coordinate plane. The square will be
dilated with the center O by a scale factor of 2 to create square A'B'C'D'.
Which statements are true?
Select all that apply.
BC ||B'C'
AC=A'C'
AD_CD
Point D' has the same coordinates as point C.
Point C' lies on the line containing points 0 and C.
9514 1404 393
Answer:
A, C, D, E
Step-by-step explanation:
Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:
BC║B'C'AC ⊥ line C'D'D' and C have the same coordinatesC' lies on line OCPlease help and thank you
Answer:
in lowest term it's
Step-by-step explanation:
10/33
Answer:
10 : 33
Step-by-step explanation:
Both 20 and 66 are multiples of 2.
20 = 2 x 10
66 = 2 x 33
So, this ratio becomes 2 x 10: 2 x 33
Dividing both sides by 2 gives us 10:33, which can't be simplified further.
halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes
what is 117 ÷12 equal
Answer:
9.75
Step-by-step explanation:
Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?
Answer: 5 weeks
Step-by-step explanation: Please give me brainliest
what is the the y intercept of the function f(x)=-2/9X+1/3?
Answer:
1/3
Step-by-step explanation:
the y-intercept is when x=0, so, if x was 0, y is1/3
plz brainliestt
Answer:
It is 1/3
Step-by-step explanation:
hope it helps ^^
The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
Help plz:)))I’ll mark u Brainliest
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Has 256 and 81 already been squared?
8th grade math
Please answer ASAP (i'm being timed)
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Answer:
nice picture bro
Step-by-step explanation:
Please find x....................
Answer:
x = 14.1
Step-by-step explanation:
Reference angle = 62°
Side opposite to reference angle = x
Hypotenuse = 16
Applying trigonometric ratio, thus:
Sin 62 = x/16
Multiply both sides by 16
16*sin 62 = x
14.1271615 = x
x = 14.1 (nearest tenth)
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find .
(b) Find .
Answer:
Step-by-step explanation:
Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?
19 miles?
7 miles?
5 miles?
12 miles?
How to get 6/9 as a decimal using division help
Can any of you plz answer? (math)
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
