Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?
(1) { 4,7,10,13,16} (3) {8,9,10,11,12}
(2) {8,9,10,18,19} (4) {1,2,10,11, 12}
Please give me the answer(the method used for this problem) and an explanation.
Answer:
Set 2
Step-by-step explanation:
First find the median of each set (the median being the number in the middle):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 10
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 10
Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):
(1) { 4,7,10,13,16} = 10
(2) {8,9,10,18,19} = 12.8
(3) {8,9,10,11,12} = 10
(4) {1,2,10,11, 12} = 7.2
the answer being 12.8 since 12.8 is greater than 10
(4) {1,2,10,11, 12}
Answer:
Solution given:
1:
{ 4,7,10,13,16}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={ 4+7+10+13+16}/{5}=10
(2)
{8,9,10,18,19}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+18+19}/{5}=12.8
3) {8,9,10,11,12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={8+9+10+11+12}/{5}=10
(4) {1,2,10,11, 12}
n=5
median={n+1)/2th term=6/2=3th term=10
mean=sum/n={1+2+10+11+13}/{5}=7.4
In above
1: mean=median
2:mean>median
3:mean=median
4:mean<median
so median is greater than mean is in 4th one.
(4) {1,2,10,11, 12}
The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.
Step-by-step explanation:
everything can be found in the picture
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
These prisms are similar. Find the volume
of the larger prism in decimal form.
5 m
7 m
Volume = 50 m3
Volume = [ ? ] m3
PLEASE HELP IM OVERDUE
Answer:
98 m³
Step-by-step explanation:
For similar shapes
The ratio of the cube of the corresponding length of similar shapes is equal to the ratio of their volume.
Applying,
L³/L'³ = V/V'............... Equation 1
Where, L = Length of the smaller prism, L' = Length of the larger prism, V = Volume of the smaller prism, V' = Volume of the larger prism
From the question,
Given: L = 5 m, L' = 7 m, V = 50 m³
Substitute these values into equation 1
5²/7² = 50/V'
25/49 = 50/V'
V' = (50×49)/25
V' = 98 m³
Answer: 137.2
Step-by-step explanation:
I'm just making the correct answer an actual answer instead of a comment so it's easier to see
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
Mean=7.7
Median=7
Mode=10 and 6
Range=7
Answer:
Mean = 7.7
Median = 7
Mode = 6 and 10
Step-by-step explanation:
Arrange the data in ascending order :
4 , 6 , 6 , 7 , 10 , 10 , 11
Mean is the sum of the data by number of data.
[tex]Mean = \frac{ 4 + 6 + 6 + 7 + 10 + 10+ 11}{7} = \frac{54}{7} = 7 . 7[/tex]
Median is the middle number.
[tex]Median = \ 7[/tex]
Mode most frequent value in the data
[tex]Mode = \ 6 \ and \ 10[/tex]
Stella is saving up to buy a new video game. She already has $15 and can save an additional $8 per week using money from her after school job. How much total money would Stella have after 8 weeks of saving? Also, write an expression that represents the amount of money Stella would have saved in w weeks .
Answer:
Part A;
$79
Part B;
The amount Stella would have saved in 'w' weeks = 15 + 8·w
Step-by-step explanation:
Part A
The amount of money Stella already has = $15
The amount she can save per week = $8
The total amount of money, 'A', Stella would have after 8 weeks is given as follows;
A = The amount Stella already has + The amount she can save per week × The number of weeks of savings
Therefore;
A = 15 + 8 × 8 = 79
The amount Stella would have after 8 weeks, A = $79
Part B
The expression that represents the amount of money Stella would have saved in w weeks is given as follows;
A = The initial amount Stella has + The amount she can save per week × w (number of weeks)
∴ A = 15 + 8·w.
help help help help help
Answer:
soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.
Can someone please figure this out thank you
Using the tangent ratio below:
[tex] \large \boxed{tan A = \frac{opposite}{adjacent} }[/tex]
Therefore, the tangent ratio for a right triangle is:
[tex] \large{tanA = \frac{8}{12} }[/tex]
For this part, use the arctan to find the measure of A.
[tex] \large{arctan( \frac{8}{12} ) = A} \\ \large{arctan( \frac{8}{12} ) = 33.69 \degree}[/tex]
Therefore measure of A is 33.69, round to the nearest tenth as we get 33.7 degrees.
Answer
A = 33.7 degreesFurthermore, the question mentions the nearest tenth, that means the b and e choice should be cleared out.
Let me know if you have any doubts regarding the trigonometric ratio.
It's urgent i need help someone help me!
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
Put these numbers in order from greatest to least.
0.32,1/2,0.66, and 0.45
Michelle decides to ride her bike one day. First she rides her bike due south for 12 miles, then the direction of the bike trail changes and she rides in the new direction for a while longer. When she stops, Michelle is 2 miles south and 10 miles west from her starting point. Find the total distance that Michelle covered from her starting point.
Answer:
Total Distance Michelle Covered is 26.14 miles
Step-by-step explanation:
According To the Question, We Have
Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.
(For Diagram, Please Find in attachment)
In Triangle ABC , Apply Phythagorus Theorem
AB² = BC² + AC²
AB² = 10² + 10²
AB² = 200
AB = √2×10 ⇔ 14.14 miles
Now The Total Distance Travelled by Michelle Would be
OA + AB = 26.14 miles
What are the two possible measures of the angle below?
Answer:
90 or -270
Step-by-step explanation:
Name the angle relationship between a and b
Answer:
∠a=∠b
Step-by-step explanation:
Alternate exterior angles are congruent
if 24= 2f+3f+f, find f
Answer:
6f = 24
f = 4
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\textsf{24= 2f + 3f + f}\\\text{COMBINE the LIKE TERMS}\\\\\textsf{2f + 3f + f}\\\textsf{2f + 3f = \bf 5f}\\\textsf{5f + f}\\\textsf{= \bf 6f}\\\text{New equation: \textsf{6f = 24}}\\\text{DIVIDE 6 to BOTH SIDES}\\\mathsf{\dfrac{6f}{6}=\dfrac{24}{6}}\\\textsf{CANCEL out: }\mathsf{\dfrac{6}{6}}\textsf{ because that gives you 1}\\\textsf{KEEP: }\mathsf{\dfrac{24}{6}}\textsf{ because that helps solve for the f-value}\\\\\mathsf{\dfrac{24}{6}=\bf f}\\\\\\\mathsf{\dfrac{24}{6}=24\div6=\bf 4}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf f = 4}}}\huge\checkmark[/tex]
~[tex]\large\textsf{Good luck on your assignment and your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
PLEASE HELP ASAP!!!!!!!
Is the function ƒ(x) = (9/10)^x an exponential function? If so, identify the base. If not, why not?
Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.
Step-by-step explanation:
Hihi , please help if able.
Step-by-step explanation:
the lines on the graph of inequality second option
What is the value of the 9 in the number 0.09432
Answer:
hundredths
Step-by-step explanation:
Numbers after the decimal start with
tenth
hundredth
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
what is advertising used for? check all that apply
6x - 5y= 70
7x + 2y=66
I need a answer in words step by step please help!!
Answer:
x = 10
y = -2
Step-by-step explanation:
Elimination method:
6x - 5y = 70 -----------------(I)
7x + 2y = 66 -----------------(II)
Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x
(I)*2 12x - 10y = 140
(II)*5 35x + 10y = 330 {Now add}
47x = 470
x = 470/47
x = 10
Plugin x = 10 in equation (II)
7*10 + 2y = 66
70 + 2y = 66
Subtract 70 from both sides
2y = 66 - 70
2y = -4
Divide both sides by 2
y = -4/2
y = - 2
Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x
Answer:
C
Step-by-step explanation:
For any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides
x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides
x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )
x² = 20y
The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS
The Above triangles are similar, Therefore the corresponding sides would be proportional.
that is : -
[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex][tex]16 \times (5x - 2) = 12 \times 6x[/tex][tex]80x - 32 = 72x[/tex][tex]80x - 72x = 32[/tex][tex]8x = 32[/tex][tex]x = 32 \div 8[/tex][tex]x = 4[/tex][tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]
PLZZZ HELP NO LINKS What graph represents the piecewise-defined function?
Answer:
option alphabet c is the answer
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
find the product (9x+9)(x+2)
Answer:
9x^2 + 27x + 18
Step-by-step explanation:
(9x + 9)(x + 2)
=9x(x + 2) +9(x + 2)
=9x^2 + 18x + 9x + 18
=9x^2 + 27x + 18
Which best describes the relationship between the line that passes through the points (2, 3) and (5, 8) and the line
that passes through the points (-7,5) and (-12, 8)?
a. neither perpendicular nor parallel
b. perpendicular
c. parallel
d. same line
A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.
Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.
If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?
O A. 52
B. 5
C. 13
D. 26
Answer:
i think the answer is c cuz theres 36 number cards
John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?
help please asap just the answers
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[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]
7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]
[tex] \huge\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]
[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]
[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]
[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]
[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{\:13}}}}[/tex]
8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]
[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]
[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]
[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{-14}}}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
https://brainly.com/question/26541943
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