Answers
Answer:
3
Step-by-step explanation:
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Given Question
For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].
From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:
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Evaluating the expression for the given values of x:
[tex]x=0 \implies 2(0)-5=-5[/tex]
[tex]x=1 \implies 2(1)-5=-3[/tex]
[tex]x=2 \implies 2(2)-5=-1[/tex]
[tex]x=3 \implies 2(3)-5=1[/tex]
[tex]x=4 \implies 2(4)-5=3[/tex]
[tex]x=5 \implies 2(5)-5=5[/tex]
Evaluated set of values: -5, -3, -1, 1, 3, 5
To find the Mean Absolute Deviation (MAD):
Calculate the mean (by summing the data values and dividing by the number of values)Subtract the mean from each value in the data set and take the absolute value of each result.Sum the absolute values from step 2.Divide by the number of values.[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]
Absolute values:
[tex]\sf|-5-0|=5[/tex]
[tex]\sf|-3-0|=3[/tex]
[tex]\sf|-1-0|=1[/tex]
[tex]\sf|1-0|=1[/tex]
[tex]\sf|3-0|=3[/tex]
[tex]\sf|5-0|=5[/tex]
Sum of absolute values = 18
[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]
Related Questions
Simplify 4x2−−−√.
the simplified expression is
Answers
Answer:
8
Step-by-step explanation:
HELP PLEASE URGENT!!!!!
Answers
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=π/4+2πn, 3π/4+2πn, for any integer n
Step-by-step explanation:
014pts)
con
(3x+10)
(2x +20)
CA
B
What does x equal?
What does < ABC equal?
What does
(2pts)
(18+)
(18+)
Show ur work 30 points
Answers
Answer:
What does x equal ? 30
What does < ABC equal? 100
What does < DBC equal? 80
Step-by-step explanation:
[tex](3x + 10) + (2x + 20) = 180 \\ 5x + 30 = 180 \\ 5x = 180 - 30 \\ 5x = 150 \\ x = \frac{150}{5} \\ \\ x = 30[/tex]
[tex]3x + 10 = 3(30) + 10 = 90 + 10 = 100[/tex]
[tex]2x + 20 = 2(30) + 20 = 60 + 20 = 80[/tex]
How do I know if a score is good or not on a math map test
Answers
Answer:
on the math and reading test, 240 (reading) and 250 (math) are typical top scores.
Step-by-step explanation:
Tyler bought a wedge. He measured the arc length of the wedge to be 12 centimeters and the radius to be 8 centimeters. Priya bought a wedge that came from a circular cheese block with radius 9 centimeters. The block was cut into 6 congruent sectors. Whose wedge is larger? Explain or show your reasoning.
Answers
The wedge is an illustration of arc lengths, and Tyler's ledge is larger than Priya's wedge
How to determine the larger wedge?From the question, the arc length of Tyler's wedge is:
L = 12 cm
For Priya's wedge, we have the following highlights:
Radius = 9 cm
Angle = 60 degrees i.e. the angle when a circle is divided into 6 sectors
Priya's arc length is then calculated as:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]L = \frac{60}{360} * 2 * 3.14 * 9[/tex]
Evaluate
L = 9.42
By comparing the arc lengths 9.42 and 12 cm, we have 12 cm > 9.42 cm
Hence, Tyler's ledge is larger than Priya's wedge
#SPJ1
Read more about arc lengths at:
https://brainly.com/question/15589041
A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein shakes. Of the members who drank protein shakes, 30% took weight-loss medication whereas only 10% of members who did not drink protein shakes took weight-loss medication. What is the probability that a gym member does not take weight-loss medication?
Answers
Answer:
63%
Step-by-step explanation:
First, create an easy number to start being able to grasp the concept.
Let us start with 100 members of "Work it Out"
90% drank protein shakes, which translates to 90 people.
30% of 90 people took weight loss medication, this is equal to 27 people. The 10% of the members that didn't take protein shakes (10) took weight loss medication. Add 10 to 27, then subtract from 100 to get the people that don't use weight loss medication. This gets us 63, then put over the total number of members to get 63%.
Hope this helps, and please mark me brainliest! :)
Answer:
63%
Step-by-step explanation:
Mark other person, I don't have a good explanation
If the original price of an item on a sale was $21 and this price was reduced by 20% for the sale what is the price in the sale?
Answers
Answer:
$16.8
Step-by-step explanation:
Discount amount
21 x .2 = 4.2
Discount
21 - 4.2 = 16.8
Answer:
16.8
Step-by-step explanation:
chose the measurement that is about 12 feet.
the height of a house
the length of a 5 dollar bill
the width of a bed
Answers
Answer:
'12 feet'
Step-by-step explanation:
Of these threee measurements, '12 feet' is closest to the height of a house.
Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width
Answers
Answer:
4.8 m
Step-by-step explanation:
The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.
__
Here, we know area and length, so we can find width.
A = LW
W = A/L = (29.76 m²)/(6.2 m) = 4.8 m
Mariosol's bedroom is 4.8 meters wide.
Mrs. Reyes had some apples. If she gave each student 3 apples, she would have 2 apples left have. If she gave each students 4 apples each she would be 2 short. How many apples did she have.
Answers
Answer:
14 applesStep-by-step explanation:
Let
Number of apples = aNumber of students = sAccording to question we have equations
a = 3s + 2a = 4s - 2Find the number of students by substitution
3s + 2 = 4s - 24s - 3s = 2 + 2s = 4Find the number of apples
a = 3*4 + 2 = 12 + 2 = 14Answer:
14 apples
Step-by-step explanation:
Let x = number of students
Let y = total number of apples
Create a system of equations with the given information.
Equation 1
If she gave each student 3 apples, she would have 2 apples left:
⇒ y - 3x = 2
Equation 2
If she gave each students 4 apples each she would be 2 short:
⇒ y - 4x = -2
Rewrite Equation 1 to make y the subject:
⇒ y = 2 + 3x
Substitute this into Equation 2 and solve for x:
⇒ (2 + 3x) - 4x = -2
⇒ 2 + 3x - 4x = -2
⇒ 2 - x = -2
⇒ -x = -4
⇒ x = 4
Substitute the found value of x into the rewritten Equation 1 and solve for y:
⇒ y = 2 + 3(4)
⇒ y = 2 + 12
⇒ y = 14
Therefore, Mrs Reyes had 14 apples.
The volume of a cylinder is 256pi in3. and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answers
Answer:
9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
The answer is 2308.4
-8 (-3.3) Multiply (-3.3) how many times? Move from 0 to where? Product:
Answers
8 times
I hope this helps you
:)
The question is what is the range of the function shown on the graph above?
Answers
Answer:
0 ≤ y ≤ 7
Step-by-step explanation:
Hey there! :)
Please see an explanation for better understanding, and let me know if you have any questions!
What is Range?Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.
For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.
StepsTo find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.
From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.
Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.
In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.
Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7
please help me....asap
Answers
Answer:
a.
Step-by-step explanation:
the study is on teens, and its impossible to survey every teen since they didnt specify how many teens there were. so the answer is a, survey 100 teens.
I need help on this question
Answers
Answer:
c
Step-by-step explanation:
I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle
Lesson 4.03
Madame Dumas has a rather extensive art collection and the overall value of her collection has been
increasing each year. Three years ago, her collection was worth $250,000. Two years ago, the value of the
collection was $525,000 and last year, the collection was valued at $1,102,500.
Assume that the rate at which Madame Dumas's art collection's value increase remains the same as it has
been for the last three years. The value of the art collection can be represented by a geochetric sequence.
The value of the collection three years ago is considered the first term in the sequence.
A) Write an explicit rule which can be used to determine the value of her art collection n years after that.
B) Use this rule to determine the value of her collection 9 years after she started tracking its worth rounded
to the nearest dollar
Answers
Using a geometric sequence, it is found that:
a) The explicit formula is: [tex]a_n = 250000(2.1)^{n-1}[/tex].
b) The value of her collection 9 years after she started tracking is of $94,557,148.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Three years ago, her collection was worth $250,000, hence the first term is [tex]a_1 = 250000[/tex].
In two years, the collection was valued at $1,102,500, hence the common ratio is:
[tex]q^2 = \frac{1,102,500}{250,000}[/tex]
[tex]q^2 = 4.41[/tex]
[tex]q = \sqrt{4.41} = 2.1[/tex].
Hence, the explicit formula is:
[tex]a_n = 250000(2.1)^{n-1}[/tex]
Item b:
[tex]a_9 = 250000(2.1)^{9-1} = 94557148[/tex]
The value of her collection 9 years after she started tracking is of $94,557,148.
More can be learned about geometric sequences at https://brainly.com/question/11847927
Zack looks at the clock and sees the hands have made a 90° angle. He realizes he has 2 hours before basketball practice starts. Which could be the angle formed by the hands of the clock when practice starts?
Answers
The angle formed by the clock is its degree measure
The angle formed by the hands of the clock when practice starts is 30 degrees
How to determine the possible angle?The current angle is given as:
Angle = 90 degrees
The basketball practice starts at:
Practice = 2 hours earlier
An hour in time represents 30 degrees.
So, the angle formed when the practice starts is
Angle = 90 degrees - 2 * 30 degrees
Evaluate
Angle = 30 degrees
Hence, the angle formed by the hands of the clock when practice starts is 30 degrees
Read more about angle measures at:
https://brainly.com/question/24775470
there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?
Answers
Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.
Step-by-step explanation:
= boys : girls
= 15 : 10
=15/10
= 3/2
= 3:2
Hence the ratio of boys to girls is 3:2
An item is regularly priced at $25 . It is now priced at a discount of 60% off the regular price. What is the price now?
Answers
Step-by-step explanation:
sp = mp-d%*mp
= $25-60/100*$25
=$10
now the price of an item is $10.
round to the nearest whole number
Answers
Answer:
SA = 527.52 cm²
Step-by-step explanation:
Cone SA = πr(r + √(h² + r²))
π = 3.14r = 7h = ?Find h
Step 1. Create a right triangle with the radius (attached image)
Step 2. Pythagorean Theorem
a² + b² = c²
7² + b² = 17²
b² = 289 - 49
b = √240
b or h = 4√15
Solve for SA
SA = πr(r + √(h² + r²))
SA = 3.14 · 7 · (7 + √(4√15² + 7²))
SA = 21.98(7 + √(240 + 49))
SA = 21.98 (7 + 17)
SA = 527.52 cm²
Hope this helps!
PLEASE PLEASE HELP! I NEED IT TO BE CORRECT!
Answers
Answer:42.83 i think
Step-by-step explanation:
Answer:
42.83
Hope this helps and have a great day!!!
ENJOY!
A parking garage charges a fixed amount of money for each hour that it is used.
Answers
- Select the equivalent expressions. 71-9y and (7x - y) (9) 5 (3t - 6) and 15 - 30 4 (6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)
Answers
Answer:
D. 16 + 72n and (2 + 9n) (8)
Step-by-step explanation:
Select the equivalent expressions.
71 - 9y and (7x - y) (9) 5(3t - 6) and 15 - 30 4(6a +86) and 10a + 126 16 + 72n and (2 + 9n) (8)Distribute to find the equivalent expressions:
A.
71 - 9y and (7x - y) (9)
71 - 9y = 9(7x) + 9(-y)
71 - 9y = 63x - 9y
Not equivalent
B.
5(3t - 6) and 15 - 30
5(3t) + 5(-6) = 15 - 30
15t - 30
Not equivalent (it's missing the variable - t)
C.
4(6a + 86) and 10a + 126
4(6a) + 4(86) = 10a + 126
24a + 344 = 10a + 126
Not equivalent
D.
16 + 72n and (2 + 9n) (8)
16 + 72n = 8(2) + 8(9n)
16 + 32n = 16 + 72n
Equivalent
Therefore the correct answer is D
Hope this helps!
1. Find the values of a and b. The diagram is not to scale. 121 354
Answers
Answer:
3 or it could also be 1 ( also like demon slayer me tooo )
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answers
a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 25 - 16
b^2 = 9
b = square root of 9
b = 3
The prime factorization of 100 is 4 X 25. Show a
factor tree!
Answers
Answer: hope this helps
Step-by-step explanation:
/ \
4 25
/\ /\
2,2 5,5
Can someone help me understand on how to simplify this ?
Answers
Answer:
So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.
Hope this helps! (pls read the comment for free gift cards)
In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of the
community swimming pool. what is the distance between the courthouse and the community
swimming pool? if necessary, round the nearest tenth.
Answers
use brainly to find the answer
How do I find the lengths of JK and JM?
Answers
Answer: Jk is 5 units and JM is 6 units. Have a great day.
Answer: j k is 5 and j m is 6 I think
Step-by-step explanation:
