Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
2 is the average absolute deviation.
So hence, your answer is 2.67"The beautiful thing about learning is that no one can take it away from YOU"
B.B.King
What is the length of Line segment A B? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x.
9.7 m
10.4 m
37.3 m
38.6 m
Answer:
38.6 m
Step-by-step explanation:
Picture explanation
Hope this Helps!
Please mark Brainlest!
Answer:
38.6 m
Step-by-step explanation:
Find the values of x for which the denominator is equal to zero for 2x^2+5/x^2-2x .
x = 0, x = 2
x = 1, x = 2
none
x = 2
Let's see
[tex]\\ \rm\rightarrowtail x^2-2x=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-2)=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x-2=0[/tex]
[tex]\\ \rm\rightarrowtail x=0\:or\:x=2[/tex]
[tex] \green{••••••••••••••••••••••} \blue{••••••••••••••••••••••••••}[/tex]
[tex] \sf {x^2 - 2x = 0} [/tex]
[tex] \sf {x ( x - 2) = 0} [/tex]
[tex] \sf {x = 0 \: or \: x-2 = 0} [/tex]
[tex] \sf \green{ {x = 0 \: or \: x = 2}} [/tex]
#CarryOnLearning
#LibreAngMatuto
J F F 570 K po 142° G H Find the value of x.
Answer:
I'm stuck on the same question
Step-by-step explanation:
What is the horizontal distance from the origin to the point (1,4)
Answer:
given ,
a point , let's say , A( 1 , 4 ) on the cartesion plane.
to find - the horizontal distance of the point from the origin.
[tex]\underline\bold{using \: Distance \: formula \:} \\ \\ d(AO) = \sqrt{( x_{2} - x_{1}) {}^{2} +( y_{2} - y_{1}) {}^{2} } \\ \\ d(AO) = \sqrt{(1 - 0) {}^{2} + (4 - 0) {}^{2} } \\ \\ d(AO) = \sqrt{1 + 4} \\ \\ d(AO) = \sqrt{5} units [/tex]
hope helpful :D
true or false? multiplying the parent linear function by 3/4 results in vertical stretch
f(x) ⇒ a*f(x)
This results in a vertical stretch, or compression.
When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].**There are multiple correct answers when asked about a, or vertical stretches/compressions.
Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.We could say the following:
f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.Both of the above responses are correct.
Solving the QuestionWe're given:
We multiply the parent function by [tex]\dfrac{3}{4}[/tex].In this case, 0 < a < 1.
This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].AnswerTrue and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting
two prime numbers?
Answer: 1/6
Step-by-step explanation: There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
1.
3 ft
2 ft
6 ft
what is the surface area of the rectangular prism?
PLS HELP!
Which trigonometric function has a range that does not include -0.8?
A.) y=sin x
B.) y=csc x
C.) y=cot x
D.) y=cos x
Answer:
B.) y=csc x
Step-by-step explanation:
The cosecant function has a minimum magnitude of 1, so its range excludes any values in the range -1 < y < 1.
y = csc(x) . . . has a range that does not include -0.8
The polygon given below is a regular pentagon.
A. 54°
B. 108°
C. 135°
D. 540°
Answer:
Step-by-step explanation:
In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.
Sum of all angles of regular pentagon = 540
measurement of one angle = 540 ÷ 5
= 108°
∠N = 108°
Answer:
B
Step-by-step explanation:
Suppose that the volume of a right circular cylinder is 500 A cubic
centimeters and the radius of its base is 5 centimeters. What is the
height of the cylinder?
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
Volume of a cylindervolume = πr²h
where
r = radiush = heightTherefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
learn more on cylinder here: https://brainly.com/question/11083770
Answer:
A) 20 cm
Step-by-step explanation:
What is the value of x? Enter your answer in the box.
Answer:
x = 8
y = 6
Step-by-step explanation:
First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.
Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.
Then equating (7x+4)° to 60, we have that,
7x+4=60
7x=60-4
7x=56
x=56÷7
x=8.
Please Help I have tried and can not get the correct answer
Find the x- and y-intercepts of the graph of the function f(x) = -4|x+1| +8
Enter your answers as points, (a,b)
Enter the x-intercepts in order of increasing x-value. if there are no x-intercepts, enter NA in both answer areas
x-intercepts: __________
__________
y-intercepts ___________
Answer:
(-3, 0) and (1, 0)
(0, 4)
Step-by-step explanation:
x-intercept is the point where y = 0.
y-intercept is the point where x = 0.
or points ...
f(x) = y = -4×|x + 1| + 8
let's start with the y-intercept (x = 0)
y = -4×1 + 8 = -4 + 8 = 4
the y-intercept point (only 1 point) is (0, 4).
for x = 0 the absolute value function contains 0+1. and that is always +1.
the x-intercept(s) :
0 = -4×|x + 1| + 8 (dividing by -4)
0 = |x + 1| - 2
|x + 1| = 2
because of the absolute value we have 2 possibilities :
+(x + 1) = 2
x + 1 = 2
x = 1
and
-(x + 1) = 2
-x - 1 = 2
-x = 3
x = -3
so the points of x-intercept are (-3, 0) and (1, 0)
Use the order of operations to simplify the expression.
(5)^2 - (1/4)^2
[tex]5^2 - \left(\dfrac 14 \right)^2= 25 - \dfrac{1}{16} = \dfrac{400-1}{16} = \dfrac{399}{16}=24\dfrac{15}{16}[/tex]
Can someone help me!
Answer:
Top left.
Step-by-step explanation:
Find five numbers so that the mean, median, mode and range is 4.
Answer:
Let’s break this apart
Well we know the median has to be 4
Since it’s 5 numbers the middle number has to be 4 since its the median.
Let’s put in what we know.
a, b, 4, d, e
Constraints:
There has to be more then 1 “4”.
e-a = 4
So using that information lets solve since the possibility is almost endless
SO lets make e 5 and a 1.
1, b, 4, d, 5
There has to be more then 1 4 so lets put that as b.
We can solve for the last remaining digits.
1+ 4 + 4 + d + 5 / 5 = 4
14 + d /5 = 4
2.2 + d = 4
1.8 = d
So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.
1, 1.8, 4, 4, 5
Thats your 5 numbers right there.
Check:
Mode is 4: yes!
Range is 4: 5-1 = 4 yes!
Median is 4: yes!
Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!
Every thing checks out.
There could be a lot of possibilities.
For example take this wrong one
Lets make the same exact thing except change the a and the e.
THis is what we have,
a, b, 4, d, e
Lets make e and a as 6 and 2. 6-2 is still 4 so its possible.
2, b, 4, d, 6
And of course we need more then 1 4 so lets make d 4.
2, b, 4, 4, 6
Now solve for b in the mean.
2 + b + 4 + 4 + 6 / 5 = 4
16 +b /5 = 4
3.2 + b = 4
Solve
B = 0.8
This doesn’t work cause the median and the range has constraint here…
When doing a median, it has to be in ORDER.
2, 0.8, 4, 4 , 6 isn’t in order
ANd even when put in order.
0.8, 2, 4, 4, 6
THe range has the constraint here becuase 6 - 0.8 isn’t 4.
a shopkeeper bought a pair of shoes at sh 480 he wished to make a profit of 30 percent after selling what was his marked price
Answer:
624
Step-by-step
480+(480(30%))
=624
Answer:
162
30/100 * 480
3/10 * 480
3/1 * 48
3 * 48
162
The grandma of a 6-year-old is asking them 2x3 what is 2x3
Answer:
The answer of 2 x 3 would be 6
Step-by-step explanation:
The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.
Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit
Answer:
yes he is
Step-by-step explanation:
he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.
I hope this helps
Please help i wan't a good grade but I can't figure this out.
Answer:
angle DCE
Angle DEC
Angle ABF
Step-by-step explanation:
you had the wrong order
How do I find the difference in the simplest form?
Answer:
2
Step-by-step explanation:
[tex] \frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2[/tex]
Click an item in the list or group of pictures at the botto
correct position in the answer box. Release your mouse
the item to the trashcan. Click the trashcan to clear all y
Rationalize the denominator and simplify.
Answer:
multiply the top number then divide the bottom
Step-by-step explanation:
After hearing about her employer’s health FSA, Yin has decided to enroll in an account. While trying to plan the amount of money to put into her FSA, Yin has made a list of items that she’d like to purchase during the plan year with FSA funds. Using the FSA Eligibility List, select all of the expenses on Yin’s list that she can pay for through money in her FSA.
hypoallergenic earrings
prescription sunglasses
makeup
medical equipment
prescription medications
shampoo
soap
sunscreen
Answer:
Prescription sunglasses
Medical equipment
Prescription medications
Sunscreen
Step-by-step explanation:
Trust me I just did this assignment
If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?
Answer:
selling price$840
it's a loss.
Step-by-step explanation:
cost price = 28× 30 = $840
selling prince =25×28=$700
since cost price is bigger than selling price, it's a loss.
Simpifly x + x + y x y
x+x + y * y = 2x + y²
Answer:
[tex]2x + y^{2}[/tex]
Step-by-step explanation:
[tex]\text{If a number is being added to itself, it is basically a number being multiplied by 2. }[/tex]
[tex]\rightarrow x + x[/tex]
[tex]\rightarrow \boxed{\bold{2x}}[/tex]
[tex]\text{If a number is being multiplied by itself, it is basically the number squared.}[/tex]
[tex]\rightarrow y \times y[/tex]
[tex]\rightarrow \boxed{\bold{y^{2}}}[/tex]
Thus, the simplified expression is 2x + y².
Function or not
x y
12 7
3 -2
-2 3
9 8
-12 12
Answer:
function
Step-by-step explanation:
x coordinates don't repeat
b^2 – 4ac if a = 2, b = 9, and c = 4
Answer:
49
Step-by-step explanation:
[tex](b)^{2} - 4(a)(c) \\(9)^{2} - 4(2)(4) \\81 - 4(2)(4) \\81 - 32 \\49[/tex]
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people
Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
Learn more about statistics in brainly.com/question/8058700
MATHEMATICS
NEED
SOME
HELP
OF
YOURS
TY<3
Answer:
The answer is 157 mm.
Step-by-step explanation:
Given;Diameter (d) = 50 mmπ = 3.14To Find;The circumference of the circle.Formula;C = πdNow,
C = πd
C = 3.14 × 50 mm
C = 157 mm
Thus, The circumference of the circle is 157 mm.
Which fraction equals 29 }}16 ?
Does 3(7x +7) + 5x represent a number that is greater than, less than, or equal to 5(5x + 10)
Answer:
Step-by-step explanation:
from
3(7x +7) + 5x = 5(5x + 10)
21x+21+5x = 25x + 50
26x + 21 = 25x + 50
26x-25x +21 = 50
1x+21 = 50
1x =50-21
x = 29
equal when x= 29
try to x> 29 such as 30
3(7(30) +7) + 5(30) ? 5(5(30) + 10)
1470 ? 800
so greater than when x >29
finally
less than when x<29
Answer:
When x = 29: the expressions are equal
When x < 29: 3(7x + 7) + 5x is less than 5(5x + 10)
When x > 29: 3(7x + 7) + 5x is greater than 5(5x + 10)
Step-by-step explanation:
Given expressions:
3(7x + 7) + 5x5(5x + 10)Expand both expressions:
3(7x + 7) + 5x
⇒ 21x + 21 + 5x
⇒ 26x + 21
5(5x + 10)
⇒ 25x + 50
Equate the expanded expressions and solve for x
26x + 21 = 25x + 50
⇒ 26x - 25x = 50 - 21
⇒ x = 29
Therefore, the expressions are equal when x = 29
When x < 29: 3(7x + 7) + 5x < 5(5x + 10)
When x > 29: 3(7x + 7) + 5x > 5(5x + 10)