Using it's formula, it is found that the Mean Absolute Deviation is given by:
D.4.24
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.In this problem, the mean is given by:
[tex]M = \frac{5 + 11 + 2 + 7 + 16}{5} = 8.2[/tex]
Hence, the mean absolute deviation is given by:
[tex]M_d = \frac{|5-8.2| + |11-8.2| + |2-8.2| + |7-8.2| + |16-8.2|}{5} = 4.24[/tex]
Hence option D is correct.
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plz help find perimeter and area
identify the coefficient and constant in the following expression and simplify it. 4t^2 + 10 + t^2 - 7+ - 6
Step-by-step explanation:
4t² + t² + 10 - 7 - 6
5t² - 3
Coefficient: 5
Constant: 3
What is the volume of the rectangular pyramid below?
14. A system of equations is shown below. For what value of a will this system have no solutions? Justify your answer.
y = 4x-9
y = ax+6
Answer:
a = 4
Step-by-step explanation:
a = 4
If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.
Answer:
x can not equal zero, as it would cause division by zero.
Step-by-step explanation:
First, let's make one equation out of them and see what we get. Because both of them have y on the left, we can say that the two right sides are equal, giving us:
4x - 9 = ax + 6
If we solve for a, we get:
ax + 6 = 4x - 9
ax = 4x - 15
a = 4 - 15 / x
With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.
Lana sells lampshades for $8 each and paper lanterns for $5 each at a one-day craft fair. She sells k lampshades and (k+5) paper lanterns. The expression 8k + 5(k+5) represents Lana's total sales. Select all the equivalent expressions for Lana's total sales at the fair
Answer:
8k + 5k + 25
Or
13k + 25
Step-by-step explanation:
Lana's total sales = 8k + 5(k+5)
Since the expressions are not given in the question;
The equivalent expression could be
= 8k + 5k + 25
Equivalent to
= 13k + 25
Can someone plz help me
Help needed now
Which number completes the Pythagorean Triple of 36, 160, X?
A)10.25
B)41
C)82
D)164
Answer:
164 because it is the pythagorean triple 9, 40, 41 magnified by a factor of 4
Hope this helped and brainliest please
Answer:
D. 164
Step-by-step explanation:
[tex]\sqrt{36^{2} +160^{2} } \\=\sqrt{1296 + 25600} \\= \sqrt{26896} \\= 164[/tex]
When y = 5; 3y - 21=
y2 + x3 + 7 for y = 2, x = 1 algebraic example ano po solve dito medyo nakakalito po
Answer:
Substitute y and x
(2)2 + (1)3+7
then multiply 2 * 2
4+ (1)3+7
then multiply 1* 3
4+ 3+7
add those numbers
14 ang iyong sagot, tandaan kapag nakikita ang panaklong tulad ng nakikita mo dito nangangahulugang dumami
PLEASE HELP ITS IMPORTANT
Answer:
1= -9
2=-32
3=-10
Step-by-step explanation:
Hope this helps! best of luck!!
1. (-9)
2. (-4)
3. (-10)
4. 45 DEGREES
5. choice a
According to the diagram below, which similarity statements are true?
Check all that apply.
P
S
R
A. APQR - APRS
B. APQR ~ APSQ
O C. APQR ~ AQSR
D. APQS ~ AQRS
The required triangle PQS and triangle QRS are similar triangles. Option D is correct.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.
Consider triangle, PQS, and triangle QRS
Angle S is the common angle in both the triangles
And angle Q is similar to angle R
So both the triangle are similar by AA similarity postulate
Therefore, option D is correct.
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2/5(10)^x=40 what is x
Answer:
[tex]x=\frac{1}{10200}[/tex]
Step-by-step explanation:
2/5[tex](10)^{x}[/tex] = 40
[tex]4^{x}=40[/tex]
x = 1/10200
how many ounces are equivalent to 6 pounds?
Answer:
96
Step-by-step explanation:
1 pound is 16 ounces
6 pounds=x ounces
So we use the X to signal it's presence
1x16 is 16,
That means 16 ounces
6xP=Q
6x16 will give us our answer
Because it will tell us how many pounds there are since ounces is multiplied to get ounces.
6x16=96
P=16
Q=96
96 is our answer.
I hope this helps!!!!
If you need help, don't hesitate to ask!
I'm here until 2:30
May I please have brainliest?
1) Select the ordered pair that is a solution to the equation represented by the
graph.
A. (0.5, 2)
B. (-2.4, 2)
C. (-3,0)
D. (0,-2)
find the vertex. y=10x^2+3
Answer:
(h,k)
(0,3)
Step-by-step explanation:
Solve the inequality and write the solution in set-builder notation.
t-3>-8
I have no idea what set builder is, so I'll just solve it if that's okay.
t-3>-8
First, to cancel out -3, you need to add it to both sides.
t-3>-8
+3 +3
t>-5
---
hope it helps
if b = -3, what is the value of b³?
Answer:
-27
Step-by-step explanation:
b³=(-3)³
b³=(-3×-3×-3)
b³=-27
solve for x. (5x+17)+129+94+(7x-46)+(9x-11)= 540
(5x+17)+129+94+(7x-46)+(9x-11)=540
5x+7x+9x+17+129+94-46-11=540
21x+146+94-57=540
21x+240-57=540
21x+183=540
-183 -183
21x=357
/21 /21
x=17
---
hope it helps
The solution of the equation is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given an equation as;
(5x+17)+129+94+(7x-46)+(9x-11)=540
Solving;
5x+7x+9x+17+129+94-46-11=540
21x+146+94-57=540
21x+240-57=540
21x+183=540
21x=357
x=17
Learn more about equations here;
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I need help with math homework PLZ HELP it’s 6th grade
Answer:
I'm pretty sure it's B
Step-by-step explanation:
Answer:
B?
Step-by-step explanation:
I think it is B because it all appears to be mostly at the right.
What is the slope of a line perpendicular to the line of the equation in the above ? Please help answer !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!
Answer:
- 4Step-by-step explanation:
Slopes of perpendicular lines are negative-reciprocals.If m is the slope of one line, the slope of the perpendicular line is -1/m.Let's find the slope of the given line:
x - 4y = -12Rewrite this in the slope-intercept form: y = mx + b
x - 4y = -124y = x + 12y = 1/4x + 3The slope is 1/4
The perpendicular line has slope
- 1/(1/4) = - 4A group of friends are at a baseball game and are purchasing souvenirs. Olivia purchased 1 t-shirt and 5 baseball caps, spending a total of $165. Her Marco purchased 1 t-shirt and 4 baseball caps, which cost him a total of $137. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Answer:
baseball cap = $28
t-shirt = $25
Step-by-step explanation:
Olivia: t +5b = 165
Marco: t + 4b = 137
isolate t in Olivia's equation
t = 165 - 5b
plug t into Marco's equation
165 - 5b + 4b = 137
165 - b = 137
b = 28
plug b into either equation
t + 4b = 137
t + 4(28) = 137
t + 112 = 137
t = 25
Can anybody help me please
An equation of a line that goes through -1/-3 and is parallel to the line 6x - y =1
Answer:
y=6x+3
Step-by-step explanation:
1.6x-y=1 solve for y
-y=-6x+1 divide bot sides by -1
y=6x-1
slope is 6
the slopes of parallel lines are equal
y-(-3)=6(x-(-1))
y+3=6(x+1)
y+3=6x+6
y=6x+6-3
y=6x+3
The selling price of an item is $585. It is marked down by %20, but this sale price is still marked up from the cost of $360. Find the markup from cost to sale price.
Answer:
$108
Step-by-step explanation:
The selling price being marked down by 20% means that $585 was reduced by 20%
Selling price = $585 - ( 20% x $585)
$585 - (0.2 x $585) = $468
Markup from cost = selling price - cost price
$468 - $360 = $108
Mary has a budget for groceries fuel, and utilities. She spent 30% of her budget in groceries if mary spent 42$ on groceries than how much is her budget
Given:
Mary spent 30% of her budget in groceries.
She spent 42$ on groceries.
To find:
The total amount of her budget.
Solution:
Let x be the total amount of the budget.
Then, the amount spent on groceries is 30% of x.
[tex]\dfrac{30}{100}x=0.3x[/tex]
She spent 42$ on groceries.
[tex]0.3x=42[/tex]
Divide both sides by 0.3.
[tex]x=\dfrac{42}{0.3}[/tex]
[tex]x=140[/tex]
Therefore, the total amount of the budget is 140$.
the area of a figure is 36cm2. Give 3 shapes of figure. where possible give 3 possible sets of dimensions for each possible shape. answer in less than one minute pls)
Answer:
121
Step-by-step explanation:
The value of Kensington's car decreases in value according to the exponential decay
function V
Pe-0.12t , where Vis the current value of the vehicle, t is the
number of years Kensington has owned the car and P is the purchase price of the car,
$20,000. To the nearest dollar, what will be the value of Kensington's car in 8 years?
1. Sandra has a coupon to save $3 off her next
purchase at a restaurant. The cost of her meal
cwill be the price of the food p that she orders,
minus $3.
Answer:
the equation would be p-3$
Step-by-step explanation:
Help please its geometry
Answer:
b
Step-by-step explanation:
Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.
Number 13 and 14 don’t matter but help ‼️