Answer:
the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
Here's how to calculate the mean absolute deviation.
Step 1.Calculate the mean.
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
Step 3: Add those deviations together.
Step 4: Divide the sum by the number of data points.
Following these steps in the example below is probably the best way to learn about mean absolute deviation, but here is a more formal way to write the steps in a formula:
\text{MAD}=\dfrac{\sum{\lvert x_i-\bar{x} \rvert}}{n}MAD= ∑∣ xi -x /n
start text, M, A, D, end text, equals, start fraction, sum, open vertical bar, x, start subscript, i, end subscript, minus, x, with, \bar, on top, close vertical bar, divided by, n, end fraction
Example
Erica enjoys posting pictures of her cat online. Here's how many "likes" the past 666 pictures each received:
10, 15, 15, 17, 18, 21
Find the mean absolute deviation.
Step 1: Calculate the mean
The sum of the data is 96 total "likes" and there are 6 pictures.
\text{mean}=\dfrac{96}{6}=16
mean= 96/6=16
start text, m, e, a, n, end text, equals, start fraction, 96, divided by, 6, end fraction, equals, 16
The mean is 16
Step 2: Calculate the distance between each data point and the mean.
Data point Distance from mean
10 |10-16|=6
15 |15-16|=1
15 |15-16|=1
17 |17-16|=1
18 |18-16|=2
21 |21-16|=5
Step 3: Add the distances together.
6+1+1+1+2+5=16
Step 4: Divide the sum by the number of data points.
\text{MAD}=\dfrac{16}{6}\approx2.67MAD=
MAD=16/6 =2.67 Likes
On average, each picture was about 333 likes away from the mean.
the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m
Answer:
the answer is 14m
Step-by-step explanation:
sorry Kung Hindi Tama aNg sagot.piro Sana makatolong
find the centre and radius for this circle , x^2+y^2=25
Answer:
centre = (0, 0 ), radius = 5
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5
pleasee helpp 20 pointss!
PLEASE HELP QUICK! The following polygons are given. All of the polygons are regular polygons.
Answer:
1. Convex 15-gon, Convex 18-gon, Convex 45-gon
2. Increases
3. Decreases
4. Increases
5. Stays the same
Step-by-step explanation:
The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;
[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]
1. Polygons that have interior angles with whole numbers are factors of 180
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180
Therefore, from the options, the polygon that have whole number interior angles are;
15, 18, and 45
Which gives;
Convex 15-gon
θ₁₅ = (15 - 2) × 180°/15 = 156°
Convex 18-gon
θ₁₈ = (18 - 2) × 180°/18 = 160°
Convex 45-gon
θ₄₅ = (45 - 2) × 180°/45 = 172°
2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;
As n increases, (n - 2)/n increases towards 1
Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases
3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases
4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases
5. The sum of the exterior angles of a polygon is given as follows
[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]
[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]
Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.
2x + 3y = 23
-1(2x + y = 13
Answer:
2x +3y= 5xy
-1(2x+y= 2xy+-1 = -3xy
Answer:
y= 9
x = -2
Step-by-step explanation:
Y= 9, X = -2 I use the simultaneous equation to solve it.
You remember recording bowling scores of 116, 105, 109, and 113; however, you cannot remember your score in the fifth game. You know your bowling average is 109, what did you score on the fifth game?
Answer:
the answer is 102
Step-by-step explanation:
hope this helps
which of the following number are prime numbers 1,7,36,16,2,51,25
Answer: 2 and 7
Step-by-step explanation: prime number is a number that is divisible only by itself and 1
Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?
Answer:
40 gallons of gas
Step-by-step explanation:
Solve for x. Each figure is a parallelogram.
Answer:
A)4
Step-by-step explanation:
degree measure of the 4 angles of a trapezoid is 360
so
since we have only 2 angles, 360/2
180=125+(14x-1)
180-125=125+(14x-1)-125
55=14x-1
55+1=14x-1+1
56=14x
4=x or x=4
hope this helps!
Answer:
x = 4
Step-by-step explanation:
The interior angles of a parallelogram always add up to 360 degrees.
We already know that one of the angles is 125 degrees, so we can subtract 125 from 360, leaving us with 235.
The angle right across from the 125 angle is congruent to it and so now we can subtract another 125 from 235, leaving us with 110 degrees.
There are 2 angles left, they are both the same measurement, so we can divide 110 by 2, leaving us with 55.
This means that 14x - 1 = 55
Time to find x
First, we are going to add 1 to both sides in order to cancel it out.
14x - 1 + 1 = 55 + 1
14x = 56
Now, we are going to divide both sides by 14 in order to cancel it out.
14/14 x = 56/14
x = 4
Hope this helps!
Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +
Answer:
C(m) = 2.50 + 2m
Step-by-step explanation:
The fixed charge = charge per entry = $2.50
Charge per mile = $2
Function which represents the cost of a ride of m miles ;
Cost for m miles, C(m)
C(m) = charge per entry + cost per mile * number of miles
Where, number of miles = m
C(m) = 2.50 + 2m
Answer:
C(m) =2 m + 2.5
Step-by-step explanation:
I DID IN ED
Answer the question.
Answer:
[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]
What is the value of 9/10 divided by 1/5?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]
[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]
[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]
[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{45}{10}}[/tex]
BOTH NUMBERS HAVE the GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]
[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]
[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{9}{2}}[/tex]
CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which transformation is a translation?
Answer:
i don't know but o o o o right e o right e auto park
Answer:
4234324tgfgdfgdgd
Step-by-step explanation:
100 divided by 2
please show work
thank you
Answer:
100÷2= 50
Step-by-step explanation:
Because if we divide a 100 equally by 2 it will be 50
the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get
what is the arc measure? what is the arc length?
Answer:
do pi times diameter divided 8 and you'll get your answer :)
Step-by-step explanation:
so do 3.14 times 26.4 divided 8
Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)
Answer:
y= 6x -8
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
Gradient
[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]
= 6
y= 6x +c
To find the value of c, substitute the equation with a pair of coordinates.
When x= 1, y= -2,
-2= 6(1) +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the line is y= 6x -8.
Please help me this should be easy for y'all thanks
Answer:
20
Step-by-step explanation:
There are red, blue, and white buttons in a box. The ratio of the
number of red buttons to the number of white buttons is 4:7.
The ratio of the number of blue buttons to the number of red buttons
is 3:2. There are 280 white buttons. How many buttons are there
altogether?
Please Help i’m very confused!!!
Answer:
There are 680 buttons altogether
Step-by-step explanation:
Here, we want to get the total number of buttons
From the question, the ratio of number of red to white buttons is 4:7
mathematically, this mean;
r:w = 4:7 = ?/280
thus;
4/7 = ?/280
7 * ? = 280 * 4
? = (280 * 4)/7
? = 40 * 4 = 160
From here, we can see that the number of white buttons is 160
from the second part of the question,
b:r = 3:2 = ?:160
3/2 = ?/160
2 * ? = 160 * 3
? = 480/2
? = 240
Thus, we have the sum total of the number of buttons as;
240 + 280 + 160 = 680
Brianliest help please
Answer:
answer is option C
3+7=10
7-3=4
C.
Step-by-step explanation:
x + y = 10
x - y = 4
x = 4 + y
Okay, so now we substitute our third equation into equation 1. Then equation one becomes..
4 + y + y = 10
4 + 2y = 10 ┌(・。・)┘♪
Mk now we subtract 4 from both sides ofc.
2y = 10 - 4
2y = 6
Now divide by 2
y = 3
And now the last one-
substituting y = 3 into equation 3 to find the value of x!
(. ❛ ᴗ ❛.)
x = 4 + y, x = 4 + 3, x = 7
So, that's how I got this answer! (◕ᴗ◕✿)
Only answer if you’re sure of it. FAST!!
A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.
A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal line. Determine the approximate length of cable that would be needed to reach
from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places.
A. 72.17 feet
D. 68.24 feet
B. 76.77 feet
E. 55.79 feet
C. 63.98 feet
Help ASAP It’s a test
Answer:
The 72 feet is measured on the slope, not out from the pole horizontally. I get
top of pole is at
40 + 72 sin17°
downhill point is
72 cos 17°
from point beneath the pole
cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2
The correct answer is option b) 76.77
The length of cable that would be needed to reach from the top of the pole to the base of the poleThe 56 feet is measured on the slope, not out from the pole horizontally.
The top of the pole is at
32 + 56 sin17°
Downhill point is
56 cos17°
From a point beneath the pole
⇒ cable^2 = (32 + 56 sin17°)^2 + (56 cos17°)^2
⇒ cable^2 = 96.74 + 53.553
⇒ cable^2 = 150.29
Dividing both sides by 2
⇒ cable = 75.15 (76 approx)
Learn more about height and distance here: brainly.com/question/19528807
#SPJ2
Does this app actually work for ya'll????
Answer:
Yessssss!
Step-by-step explanation:
Answer:
yess!! look up your question before you ask it :))))
thx for the points too hehe
What is the square feet
A.60 square feet
B.54 square feet
C.42 square feet
D.104 square feet
ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]
Answer:
y = 2
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = ([tex]\sqrt{2}[/tex] )² = 2
what is 1/20 in mixed fraction easy points will give brainliest too if two people ansswers
Answer:
it cant cause its simplified as much as it can be
Step-by-step explanation:
iknow
If t = 5 and u = 19, what is vu + 25t?
Answer:
12
Step-by-step explanation:
[tex]\sqrt{u+25t}[/tex]
[tex]\sqrt{19+25(5)}[/tex]
[tex]\sqrt{144}[/tex]
12
Answer:
12
Step-by-step explanation:
Evaluate and substitute:
Sqrt of 19 + 25(5)
Sqrt of 19 + 125 = 144
Sqrt of 144
Sqrt of 144 = 12
Therefore, our answer!
Hope this helps!
PLEASE HELP AND EXPLAIN!
A. y=60x
B. y=80x
C. y=10x
D. y= 6x
Answer:
C).
Step-by-step explanation:
One of the points on the graph that the path of bike b crosses is (6,60).
When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X
S and T are subsets of a universal set, U, such that: U = {a, b, c, d, e, f, g, h, i} S = {a, b, e} T = {a, d, f, g}. What are the elements of S ⋃ T?
Answer:
S∪B = {a,b,e,a,d,f,g}
Step-by-step explanation:
According to the Question,
Given, S and T are subsets of a universal set U ( U = {a, b, c, d, e, f, g, h, i} )
And, S = {a, b, e} , T = {a, d, f, g}
Thus, S∪B(S union B) = n(S) + n(T)
S∪B = {a,b,e,d,f,g} (There It contains all the elements present in S & B).
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.493
$2.505
$2.509
$2.498
Answer:
$2.498
Step-by-step explanation:
