Given:
The data values are:
22, 14, 24, 20, 36, 28, 43, 35
To find:
The mean absolute deviation of the given numbers.
Solution:
We have,
22, 14, 24, 20, 36, 28, 43, 35
The measure of the given numbers is:
[tex]\overline{x}=\dfrac{\sum_{i=1}^{n} x_i}{n}[/tex]
Where, [tex]x_i[/tex] represents the observations and n is the number of observation.
So, the mean value of the given data set is:
[tex]\overline{x}=\dfrac{22+14+24+20+36+28+43+35}{8}[/tex]
[tex]\overline{x}=\dfrac{222}{8}[/tex]
[tex]\overline{x}=27.75[/tex]
The formula for is mean absolute deviation is:
[tex]M.A.D.=\dfrac{1}{n}\sum_{i=1}^{n}|x_i-\overline{x}|[/tex]
The mean absolute deviation of the given numbers is:
[tex]M.A.D.=\dfrac{1}{8}[|22-27.75|+|14-27.75|+|24-27.75|+|20-27.75|+|36-27.75|+|28-27.75|+|43-27.75|+|35-27.75|][/tex]
[tex]M.A.D.=\dfrac{1}{8}[5.75+13.75+3.75+7.75+8.25+0.25+15.25+7.25][/tex]
[tex]M.A.D.=\dfrac{1}{8}[62][/tex]
[tex]M.A.D.=7.75[/tex]
Therefore, the mean absolute deviation of the given numbers is 7.75.
An arts academy requires there to be 5 teachers for every 125 students and 4 tutors for every 88 students. How many students does the academy have per teacher? per tutor? How many tutors does the academy need if it has 81 students? Pleaseee help
Answer:
25 students peer teacher, 22 students per tutor, 4 tutors for 81 students
Step-by-step explanation:
You need to find the unit rate,
for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.
Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.
I need help, please please please
Answer:
A.
Step-by-step explanation:
There is a picture of a graph
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
What is the Vertex?
y = x² - 8x-1
Answer:
The vertex is (4,-17)
Step-by-step explanation:
A corporate team-building event cost $7, plus an additional $2 per attendee. How many attendees can there be, at most, if the budget for the corporate team-building event is $17?
Pls answer fast thank you
Answer:
5
Step-by-step explanation:
17-7=10
2x5=10
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
What is the BEST first step in converting the standard equation below to slope intercept form?
x + 2y = 4
Please help! Will give Brainliest. (Photo below)
Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select two that apply.
Line l is parallel to line m.
Line l is parallel to line p.
Line m is parallel to line q.
Line l is parallel to line q.
Line m is parallel to line p.
Line p is parallel to line q.
Answer:
A and E
Step-by-step explanation:
After all of the lines are reflected across the y-axis, the true statements are Line l parallels Line m, and Line m parallels Line p.
What is meant by Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet. Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.To learn more about Parallel lines, refer to:
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I need help on this question
Answer:
1. equal
2. add to 180
3. equal
4. add to 180
Step-by-step explanation:
as 1 and 3 are linear pairs
2 and 4 are vertically opposite angles
calculate 3(8-6)
[tex]3(8 - 6)[/tex]
Answer:
6
Step-by-step explanation:
3(8−6)
=(3)(2)
=6
Answer:
3(8-6)=6
Step-by-step explanation:
8-6
=2
=3*2
=6
Find the value of x and y
Answer:
X is 90 y is 43
Step-by-step explanation:
C=5x+4y
What points maximize and minimizes
Answer: There is no points
Step-by-step explanation:
IF YOU GET THE CORRECT ANSWER YOU GET MOR POINTS BTW XOXOX.
The box plots show the lengths of the songs on two digital music players ir
minutes.
Lengths of Songs on Digital Music Players
Music Player X
Music Player Y
+
+
6.5
3.5
4
4.5
+
5 5.5
6
Number of Minutes
7
7.5
Which statement is best supported by the information in the box plots?
Answer:
The interquartile range of data for Music Player X is greater than the interquartile range of the data for Music Player Y.
Step-by-step explanation:
just took the test
A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.
Answer:
The answer is 5:2 5 to 2 5/2.
In ΔIJK, k = 64 inches, j = 17 inches and ∠J=68°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answer:
N/A (if on delta math leave blank)
Step-by-step explanation:
(3.4905745)=ERROR
Sine cannot be greater than 1.
The given conditions cannot form a triangle, there is no possible value of K.
What is sine law?In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
Given that, in a triangle Δ IJK, k = 64 inches, j = 17 inches and ∠J = 68°.
We need to find value of ∠K,
So, using the sine law,
Sin K / k = Sin J / j = Sin I /i
So,
Sin K / k = Sin J / j
Sin K / 64 = Sin 68° / 17
Sin K = 3.5
K = Sin⁻¹(3.5)
K = ERROR
Hence, the given conditions cannot form a triangle, there is no possible value of K.
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Suppose your drama club's budget doubles every year. This year the budget is $500. How much was the club's budget 2 yr ago? What expression models what the budget of the club will be in 1 yr? In 2 yr? In y years? What value of y can you substitute into your expression to find the budget of the club 2 yr ago?
Answers:
2 Years ago the budget was: 125$
The budget in one year will be: 1000$
The budget in 2 years will be: 2000$
Expression used:
500 divided by 2 ( One year back )
250 divided by 2 ( two years back)
Rectangular Prism lateral and total surface area
Answer:
give me sec waitttttttt give me sec is their any answer choice
(1 x2) x (3 x 2) x (1 x 3) = ?
Answer:
2*6*3= 36
Step-by-step explanation:
hope this helps
Multiply whats inside the prentices first, then multiply on the outside then that's how you will get your answer
Two families planned to go to the zoo. The entry ticket for one adult was $7.31 and the entry ticket for one
child was $5.66. There were two adults in the group. The families intend to spend no more than
$46.00. What is the greatest number of child tickets that can be purchased?
Answer:
5 children
Step-by-step explanation:
$7.31 x2 = $14.62
$46- 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
and $33 is bigger than $31
So the greatest number of children tickets can be purchased is only 5.
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
Angela invests $2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?
Answer:
$ 2,665.61
Step-by-step explanation:
I plugged it into a compound interest calculator
Find the value of x.
Answer:
x = 30.74
Step-by-step explanation:
39 - 15 = 24
y^2 + 24^2= 36^2
y^2 + 576= 1296
y^2= 720
y= [tex]12\sqrt{5}[/tex]
15^2 + [tex]12\sqrt{5} ^{2}[/tex]= x^2
225 + 720 = x^2
x^2= 945
x = 30.74
Lin runs 5 laps around a track in 6 minutes.
How many minutes per lap is that? Show work
pls helpppppppppppp!
Answer: g= -1/12
Step-by-step explanation:
I just solved it hope I helped
What is the range for the third size of the triangle 13,24?
Answer:
third side range
5
<
C
<
11
Step-by-step explanation:
When we multiply the second equation by two, what is the resulting equation?
2(5x−2y=8)
Answer:
10x - 4y = 16
Step-by-step explanation:
2(5x - 2y = 8)
10x - 4y = 16
Answer:
the equation would be 10x-4y=16
Which system of equations is best represented by the graph?
Answer:
it's the first one
Step-by-step explanation:
since all of them go up to 8 on the graph it
the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
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