The mean absolute deviation (MAD) of the given set of numbers is 8.75.
What is the mean absolute deviation (MAD)?The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.
Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.
Calculate the mean:
Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
Find the absolute difference between each number and the mean:
|46 - 54| = 8
|54 - 54| = 0
|43 - 54| = 11
|57 - 54| = 3
|50 - 54| = 4
|62 - 54| = 8
|78 - 54| = 24
|42 - 54| = 12
Calculate the average of these absolute differences:
MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75
Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.
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TEXAS Test Prep
Which equation represents the fraction of beads that are green or yellow?
⚫⚪⚫⚫⚫⚫⚫⚫
A. 1/2 + 1/4 = 3/4
B. 1/4 + 1/8 = 3/8
C. 1/2 + 1/8 = 5/8
D. 3/4 + 2/8 = 1
Answer:
1/8 + 1/2 = 5/8
Step-by-step explanation:
Total number of beads = 8
Number of green beads = 4
Number of yellow beads = 1
Fraction of green beads :
Number of green / total number of bead = 4 / 8 = 1/2
Fraction of yellow beads :
Number of yellow / total number of bead = 1 / 8
Number of green or yellow bead :
1/8 + 1/2 = (1 + 4) / 8 = 5/8
Determine the volume of the shape below
Answer:
V = 24513.85 m³Explanation:
Volume of a right cylinder = area of the base × height
V = πr² × h
r = d/2
r = 34/2 = 17 m
V = π × 17² × 27
V = 24513.85 m³
Find the inverse: y = - 1/2 x + 4.
A class has 25 students. In how many seats can four students be chosen as class leaders?
Answer:
3 groups will have 5 members with a class leader, but only one will have 6 members and a class leader
Step-by-step explanation:
Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *
Answer:
P = 25.6 feet
Step-by-step explanation:
Given that,
Rectangle A and B have the same Area.
The area of a rectangle is given by :
A = lb
[tex]l_Ab_A=l_Bb_B[/tex]
We have,
[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]
So,
[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]
The perimeter of rectangle B,
[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]
So, the perimeter of rectangle B is equal to 25.6 feet.
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and Z CED are vertical angles and equal
76º.
ZABE and Z CBE are complementary angles.
BEC and Z CED are vertical angles.
BEA and AED are supplementary angles
whose sum is 180°
BEC and AED are adjacent angles.
Answer:
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
Step-by-step explanation:
Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.
Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°
Two angles are adjacent if they are placed side by side and share the same vertex.
∠BEA = ∠CED = 104° (vertical angles)
∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°
∠BEC and ∠CED are not vertical angles
∠BEA and ∠AED are supplementary angles. 104 + 76 = 180
∠BEA and ∠AED are not adjacent angles
Answers: A B D
Step-by-step explanation:
I did the quiz
A truck rental company a basic fee of $70 and an additional $4 per mile for the rental of its trucks. Michelle paid a total of $210 when she rented a truck. How many miles did she drive the truck?
A 17.5 miles
B 35miles
C 70 miles
D 122.5 miles
Answer:
35 Miles
Step-by-step explanation:
Mark me brainliest.
210 minus 70 = 140
140 divided by 4 = 35
35 is your answer.
FIRT TO ANSWER GETS BRAINLYEST
Which best explains whether 9 is a solution to the inequality x greater-than 9?
It is not a solution because 9 is not greater than 9.
It is not a solution because 9 is not less than 9.
It is a solution because 9 is greater than 9.
It is a solution because 9 is less than 9.
Help me out! I need this!!!! Brainliest answer and 15 points!
Answer: Second option (-2.8, -2.6)
Step-by-step explanation:
The solution to both equations would be the intersection of the lines.
Answer:
b
Step-by-step explanation:
Work out the area of triangle ABC
2 root 5 cm
3 root 2 cm
please help me!!!! i’m so bad a mathhhh
Answer:
22x^2+21x+10
brainliest?
Step-by-step explanation:
Answer:
The 4the bubble
Step-by-step explanation:
It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10
Help please, I’m confused if someone could answer it and explain I’ll give brainliest because I’m SO confused.
Answer:
I think its the last one
Step-by-step explanation:
Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?
Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
Find the volume of the pyramid. Someone help plz
Answer:
2880
Step-by-step explanation:
10 x 8 x 6 x 12 = 5760/2 = 2880
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.
Answer:
B, C, D
Step-by-step explanation:
9x4=36 Yes
12x3=36 Yes
6x6=36 Yes
9x9=81 No
8x4=32 No
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Probability that 2 of 3 use sunscreen
From the attached data, we have:
[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]
[tex]n(S) = 10[/tex]
Events where 2 of the 3 uses sunscreen is:
[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen
[tex]n(x) = 5[/tex]
So, the required probability is:
[tex]Pr = \frac{n(x)}{n(S)}[/tex]
[tex]Pr = \frac{5}{10}[/tex]
[tex]Pr = 0.50[/tex]
Find the value of g, f, e, and d
Answer:
g-86=15
g= 15+86=101
e-27=45
e=45+27=72
6f+15+45=180
6f=180-60
6f=120
f=20
d=6f
d=120
Please help! I will give Brainliest!
Who is correct?
Answer:
Eric is correct
Step-by-step explanation:
Please help and show work!
Answer:
Step-by-step explanation:
The given quadratic must be rewritten in standard form before anything else is done: -2x^2 + 8x - 8 = 0. The coefficients of the x terms are {-2, 8, -8}.
The discriminant b^2 - 4ac is therefore (8)^2 - 4(-2)(-8), or 64 - 64, or 0.
A zero discriminant points to two real, equal solutions.
What is the appropriate equation used that would solve for x
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
1. Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4,3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Answer: ( -2, -1
Step-by-step explanation:
∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.
Answer:
m∠B = 75.5°
Step-by-step explanation:
Since AC = 6, then AB = 6 and BC = 15-6-6 = 3
The altitude from A bisects side BC. Let the point of intersection of the altitude and BC be point D. Then BD = 1.5
Cos B = 1.5/6
m∠B = arcccos (1.5/6)
m∠B = 75.5°
Find the surface area of the above solid
Answer:did u ever find the answer i need it
Step-by-step explanation:
NEED THE ANSWER PLEASE
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m[tex]\widehat{AG}[/tex] = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m[tex]\widehat{ABE}[/tex] = 48°
∴ m[tex]\widehat{ABE}[/tex] = 2 × 48° = 96°
m∠AEF = (1/2) × m[tex]\widehat{AGE}[/tex]
m[tex]\widehat{ABE}[/tex] + m[tex]\widehat{AGE}[/tex] = 360° (angle round a circle)
∴ m[tex]\widehat{AGE}[/tex] = 360° - m[tex]\widehat{ABE}[/tex] = 360° - 96° = 264°
m[tex]\widehat{AGE}[/tex] = m[tex]\widehat{AG}[/tex] + m[tex]\widehat{EG}[/tex]
∴ m[tex]\widehat{EG}[/tex] = m[tex]\widehat{AGE}[/tex] - m[tex]\widehat{AG}[/tex] = 264° - 175° = 89°
m[tex]\widehat{EG}[/tex] = 89°.
A school has 764 students. Of the students, 118 are in third grade. Which
equation can be used to find s, the total number of students in all of the other
grades?
764 + 118 = s
s
764 = 118
118 = 764
118 + s = 764
Answer:
D. 118 + s = 764
Step-by-step explanation:
To find the total number of students in all the other grades, if we only know the total number of students in the school and the number of kids in 3rd grade, we need to subtract the kids in 3rd grade from the entire school. This leaves us with 646.
s = 646
Hope it helped!
what is 4(2/3x +2) = 3x
Answer:
x = 8
Simplified
3x = 8 + 8/3x
Step-by-step explanation:
4(2/3x + 2) = 3x
8/3x + 8 = 3x
8/3x - 8/3x + 8 = 3x - 8/3x
8 = x
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
Volume = 119975.2 meters3
|2x-5|<1
i need help pleaseeeeee
Answer:
x < 3 or x < 2
Step-by-step explanation:
|2x-5|<1
Using compound Inequality
(2x - 5) <± 1
Hence,
a) 2x - 5 < -1
2x < -1 + 5
2x < 4
x < 4/2
x < 2
b) 2x - 5 < +1
2x < 1 + 5
2x < 6
x < 6/2
x < 3
Therefore, x < 3 or x < 2
In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.
Answer:
6
Step-by-step explanation:
[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]
[tex]2)\ 2x + 4 + y +z = 48[/tex]
[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]
[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]
Answer:
6
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle FGH[/tex]
[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]
(Area of similar triangle theorem)
[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]
[tex] 2x + 4 = 2\times 8[/tex]
[tex] 2x + 4 =16[/tex]
[tex] 2x =16-4[/tex]
[tex] 2x =12[/tex]
[tex] x =\frac{12}{2} [/tex]
[tex] x = 6 [/tex]