Answer:
A. 4.5
Step-by-step explanation:
Given:
20, 12, 27, 23, 18, 20, 30, 26
Mean = 22
Required:
Calculate the Mean Absolute Deviation (M.A.D)
Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data
20 - 22 = -2
12 - 22 = -10
27 - 22 = 5
23 - 22 = 1
18 - 22 = -4
20 -22 = -2
30 - 22 = 8
26 - 22 = 4
The we find absolute value of the result above
|-2| = 2
|-10| = 10
|5| = 5
|1| = 1
|-4| = 4
|-2| = 2
|8| = 8
|4| = 4
Lastly, we calculate the mean of the above to give M.A.D
[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]
[tex]M.A.D = \frac{36}{8}[/tex]
[tex]M.A.D = 4.5[/tex]
Option A is correct.
The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.
What is the mean absolute deviation?It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.
We have data:
20, 12, 27, 23, 18, 20, 30, 26
Mean of the data X = 22 hours
∑(x - X) = 36
MAD = 36/8 = 4.5 hours
Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.
Learn more about the mean absolute deviation here:
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#SPJ5
-10-9-8-7-6-5-4-3-2
-1 0
1
2
3
4 5 6 7 8 9 10
Determine the distance between -1 and -7.
-1
A)
-8 units
B)
-6 units
C)
6 units
D)
8 units
Answer:
B)6 units
Step-by-step explanation:
-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10
or
-7-(-1)=-6
Distance can't be a negative so the answer is 6.
Which expression is equivalent to 10√5
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
What is the volume of the composite figure?
Answer:
Make headway with these volume of a composite 3D figure worksheet pdfs featuring figures made up of 2 or 3 solid shapes. Add the volume of each geometric ...
Step-by-step explanation:
Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?
Answer:
Amanda's box volume is 70 cm^3 greater than Mary's
Step-by-step explanation:
Find and then compare the volumes of the two boxes:
Amanda's: 10*10*13.5 cm^3 = 1350 cm^3
Mary's: 8*8*20 = 1280 cm^3
Amanda's box volume is 70 cm^3 greater than Mary's.
A woman earns $10 per hour at her job. The boss gives her a 30% raise. What is her new salary per hour?
$3
$ 10.50
$13
$40
None of these
10×30% = 3
30÷3= 10
10 + 3 =13
new salary per hour is $13
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
the ordered pairs below show the number of gallons of gas used, x, and the number of miles traveled, y, for a compact car.
(7,224),(8,264),(9,279),(10,350)
if the data is modeled with the linear best fit function, approximately how many gallons of gas will be used by the car when it travels 400 miles?
a. 10.3
b. 11.6
c. 12.8
d. 14.3
Answer:
a,b,c,d
Step-by-step explanation:
a,b,c,d
Answer:10.3
Step-by-step explanation:
Which of the following is an example of inertia?
O A. Adding mass to a moving car makes it
harder to stop.
0 0 0
OB. A balanced force is applied to a bicycle.
C. Increasing the velocity of a train makes it
harder to stop.
OD. A moving car changes direction.
Answer:
B
Step-by-step explanation:
inertia is the tendency to do nothing or remain unchanged
Help me with this Please
Three ballet dancers are positioned on stage. Mia is straight behind Jane and
directly left of Christine. If Jane and Mia are 3 meters apart, and Christine and Jane
are 5 meters apart, what is the distance between Mia and Christine?
Answer:3 m
Step-by-step explanation:
Given
Mia is 3 m behind Jane
Mia is left to the Christine
Distance between Mia and Christine is 5 m
Thus they form a right angles triangle shown in fig
So we can write
[tex]5^2=x^2+3^2[/tex]
Where x =distance between Mia and christine
[tex]x^2=25-16[/tex]
[tex]x^2=9[/tex]
[tex]x=3\ m[/tex]
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Step-by-step explanation:
r = onion rings amount
s = sliders amount
system of equations
2s = r
r(70) + s(200) = 1020
(for deltamath)
This question is based on the system of equations. Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
Given:
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders.
According to the question,
Let the amount of onion rings be r and the amount of sliders be s.
Now, it is provided in question that, amount of sliders is twice as the onion rings. In mathematically expressed as,
⇒ 2s = r is the first system of equation.
Then, it is also give that, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories. This representing as,
⇒ r(70) + s(200) = 1020 is the second system of equation.
Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
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Can someone please tell me what is -1/9(-27) please
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
The data below shows the scores of some students on a test: 21, 27, 29, 20, 22, 33, 23 Which box plot represents the data?
Answer:
23
Step-by-step explanation:
you take the greatest and least greatest number until only one is left.
21, 27, 29, 20, 22, 33, 23
21, 27, 29, 20, 22, 23
21, 27, 29, 22, 23
27, 29, 22, 23
27, 23
23
What is distance between point X and point Y?
--------------------------------------------------------------------
StartRoot 11 EndRoot
StartRoot 22 EndRoot
StartRoot 61 EndRoot
StartRoot 72 EndRoot
Answer:
....
Step-by-step explanation:
using pythagoras :
[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{61} [/tex]
Answer:
C. [tex]\sqrt{61}[/tex]
Step-by-step explanation:
The answer is [tex]\sqrt{61}[/tex]
What value of a makes the equation true
Answer:
The correct answer is -2.
Step-by-step explanation:
it is -2 because if you replaced -2 with a you would have -2 minus 1.5 which is -0.5. -0.5 multiplied by 3 gets you -1.5.
Answer:
Step-by-step explanation:
3(a + 1.5) = -1.5
3a + 3*1.5 = -1.5
3a + 4.5 = -1.5
Subtract 4.5 from both sides
3a + 4.5 - 4.5 = -1.5 - 4.5
3a +0 = - 6.0
3a = - 6
Divide both sides by 3
3a/3 = -6/3
a = -2
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answer:
A
Step-by-step explanation:
The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.
Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.
Circumference based problem:What information do we have?
Radius of circular garden = 4.5 m
Circumference of her garden = circumference of circle
So,
Circumference of her garden = 2πr
Circumference of her garden = 2(3.14)(4.5)
Circumference of her garden = 28.26 m
Find out more information about 'Circumference'.
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HELLPPPPPP
S S DS ADS
A
Answer:
90%
Step-by-step explanation:
9/10 = 90/100
the answer to the equation is 90
Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2
Answer:
Distance between the points (-9,2) and (-4,2):
D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5
=> Option A is correct
Answer:
B.13
Step-by-step explanation:
In order to solve the distance between two points you need the distance formula which is -> Distance = √ (x1 - x2)^2 + (y1 - y2)^2
-9 would be x1 and -4 would be x2(so the first numbers of both sets)
Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)
You plug in the numbers to the formula.
Which would be:
Distance = √ (-9-4)^2 + (2-2 )^2
Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.
Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.
You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.
Which graph best represents the function f(x) = 4(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4
Answer:
Last one:
graph of increasing exponential function going through point 0, 4
Step-by-step explanation:
y = 4(1.5^x)
Is an exponential function with:
y-intercept: 4×1.5⁰ = 4×1 = 4
Horizontal asymptote: y = 0
Answer:
the last one
Step-by-step explanation:
Solve the following system of equations using any method you want.
10y+24=-3x
3x-9=y
Answer:
3
Step-by-step explanation:
3x-9=y
+9. +9
3x=9y
divide three to both sides answer
44 is equal to 8 times a number minus 4. what is the number?
Answer:
6
Step-by-step explanation:
Let "a number" = x
44 = 8x - 4
Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 4 to both sides:
44 (+4) = 8x - 4 (+4)
44 + 4 = 8x
48 = 8x
Isolate the variable, x. Divide 8 from both sides:
(48)/8 = (8x)/8
x = 48/8
x = 6
6 is your answer.
~
Answer:The number is 6.
Step-by-step explanation:
8n - 4 =44
+4 +4
8n =48
n=6
please help!!!! thank you
Answer:
9 c^7
Step-by-step explanation:
Answer:
27c^2-4
Step-by-step explanation:
27c to the 2nd power minus 4
Which is a solution to 2x + 1 = 21?
Answer:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Please hurry algebra 2
Answer:
the answer should be the second option idk for sure sorry if wrong.
Step-by-step explanation:
Answer:
The answer is the last one/ = 0.61
Step-by-step explanation:
Evaluate tan²0 for 0 = 60°.
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
i Substituted the value ofthe variable into the equation and simplified it.
Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles
none of the answers I saw had the same triangle
Answer:
acute
Step-by-step explanation:
the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral
Answer:
it D . acute and A .scalene
Chad's bedroom floor is 19 feet long and 19 feet wide. He has an area rug on his floor that is 5 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 19 + 19 + 5 + 8.
B Subtract 40 from 19 × 19.
C Subtract 19 × 8 from 19 × 5.
D Add 19 × 19 and 5 × 8.
E Subtract 5 × 8 from 19 × 19.
F Subtract 19 × 19 from 5 × 8.
Answer:
B and E
Step-by-step explanation:
Subtract the area of the rug from the bedroom floor.
Answer:
E
Step-by-step explanation:
Area of the floor that is not covered = Area of floor - area of rug
= 19 *19 - 5*8
= 361 - 40
= 321 Sq.ft
can i get your help please
Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01
B. 1.2, 1.234, 1.237, 1.48, 2.01
C. 2.01, 1.48, 1.237, 1.234, 1.2
D. 1.2, 1.48, 2.01, 1.234, 1.237
Answer:
B. 1.2, 1.234, 1.237, 1.48, 2.01
Step-by-step explanation:
A sports stadium holds 14,600 people. There are eight home games in
a season. Find the total number of people who could attend home
games in one season.
Answer:
116800
Step-by-step explanation:
14600x8
166800
Answer:
b
Step-by-step explanation:
hope this helps you
Sheila has 13 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1 /4 pounds. How many containers does she need?
Answer:
This means Sheila will need at least 9 containers (you need to round up to the next container).
Step-by-step explanation:
Answer:
Sheila will need at least 9 containers
hope it right