The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
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Answer: D
Step-by-step explanation:
For each of the number lines, write an absolute value equation in the form |x - c |=d,
where c and d are some numbers, to satisfy the given solution set.
The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6
How to determine the absolute value equation?The solution sets on the number line are given as:
x = {-8, -4}
Calculate the average of the solutions
Mean = (-8 - 4)/2
Mean = -6
Calculate the difference of the solutions divided by 2
Difference = (-4 + 8)/2
Difference = 2
The absolute value equation is the represented as:
|Difference - x | = Mean
Substitute known values
|2 - x| = -6
Hence, the absolute value equation is |2 - x| = -6
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Answer:
|b+6|=2
Step-by-step explanation:
Help will give brainly! :)
Answer:
4x²y² and 16x⁴y⁶
Step-by-step explanation:
Cara leaves her house at 10:03 and arrives at the library at 10:17.
Irena leaves her house at 11:55 and arrives at the library at 12:06.
Who takes longer to get to the library? How many minutes longer?
Choose...
takes longer. She takes
Choose...
minutes longer.
Answer: Cara takes longer
Step-by-step explanation:
cara takes 14 minutes
irena takes 11
Answer:
cara takes longer by 14 minutes than Irena who takes 11 minutes
Question 5 ? Question What does the x-intercept of this relationship represent? O the initial amount of plant food the length of time it takes for Ryan to use all the plant food O the amount of plant food used each day O the length of time it takes for the height of the plant to reach 72 centimeters
Answer:
O the amount of plant food used each day
Step-by-step explanation:
O the initial amount of plant food the length of time it takes for Ryan to use all the plant food is the y-intercept therefore wrong.
O the length of time it takes for the height of the plant to reach 72 centimeters
How do I evaluate this double integral
Convert to polar coordinates with
[tex]x = r \cos(\theta)[/tex]
[tex]y = r \sin(\theta)[/tex]
so that [tex]x^2 + y^2 = r^2[/tex], and the Jacobian determinant for this change of variables is
[tex]dx\,dy = r \, dr \, d\theta[/tex]
D is the disk centered at the origin with radius 2; in polar coordinates, this is the set
[tex]D = \left\{(r, \theta) \mid 0\le\theta\le2\pi \text{ and } 0 \le r \le 2\right\}[/tex]
Then the integral is
[tex]\displaystyle \iint_D (x + y + 10) \, dx \, dy = \int_0^{2\pi} \int_0^2 (r \cos(\theta) + r \sin(\theta) + 10) r \, dr \, d\theta[/tex]
[tex]\displaystyle = \int_0^{2\pi} \int_0^2 (r^2 \cos(\theta) + r^2 \sin(\theta) + 10r) \, dr \, d\theta[/tex]
[tex]\displaystyle = \int_0^{2\pi} \left(\frac83 (\cos(\theta) + \sin(\theta)) + 20\right) \, d\theta[/tex]
[tex]\displaystyle = 20 \int_0^{2\pi} d\theta = \boxed{40\pi}[/tex]
(since cos and sin are 2π-periodic)
Find the volume of the prism.
8in. 5in. 5in
Mark purchased a 12-pack of soda for
$5.86. What is the unit rate per soda?
(Round to the nearest cent!)
Answer:
$0.49 per soda
Step-by-step explanation:
The cost per soda is found by dividing the cost by the number of sodas.
__
$5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda
The unit rate is $0.49 per soda.
A sector with an area of \goldE{54\pi\,\text{cm}^2}54πcm
2
start color #a75a05, 54, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{9\,\text{cm}}9cmstart color #ca337c, 9, start text, c, m, end text, end color #ca337c.
What is the central angle measure of the sector in radians?
The central angle measure of the sector is 4.19 rad.
Area of a Sector
You need apply the formula: [tex]A= r^2*\frac{\alpha}{2}[/tex] for finding the area of the sector, in radians. In this formula, the variables are:
r= radius
[tex]\alpha[/tex]= central angle
The question gives:
A=54[tex]\pi[/tex] cm²
r= radius= 9cm
Thus, the central angle will be:
[tex]A= r^2*\frac{\alpha}{2}\\ \\ 54\pi =81*\frac{\alpha }{2} \\ \\ 1.33333\pi =\alpha[/tex]
For [tex]\pi[/tex]=3.14159..., you have :
[tex]\alpha=4.19\; rad[/tex]
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Answer:
4pi/3
Step-by-step explanation:
I need help solving this problem system of equations
Answer:
y= -6
Step-by-step explanation:
-4x and 4x are canceled out. -2y+8y= 6y. -12-24=-36
You are left with 6y=-36 . Divide from both sides and -36/6 is -6. So, y=-6.
Hope this helped.
Solve for x to the nearest tenth of centimetre
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points (1, 3) and (5, -2)?
Answer:
slope = -5/4
Step-by-step explanation:
Because you have been given two points, you can use point-slope formula to find the slope. In the equation, "m" is the slope.
1st Point: (1,3)
2nd Point: (5, -2)
y₁ - y₂ = m(x₁ - x₂) <----- Point-Slope Equation
3 - (-2) = m(1 - 5) <----- Plug "x" and "y" values into equation
5 = m(-4) <----- Combine like terms
-5/4 = m <----- Divide both sides by -4
Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars. Which table of values matches this equation?
Answer:
Table D
Step-by-step explanation:
I have all of the tables listed below and the correct one circled! I used to tutor my cousin about this topic!
I hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!
Have a great day!
:)
The 4th table in the option is the correct one.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Yolanda saves all the money from a regular baby-sitting job. The money in her savings account is increasing according to the equation y = 6x + 50, where x = number of hours worked and y = savings in dollars.
The given equation is y = 6x + 50
Put x = 0
y = 50
Put x = 5
y = 80
Put x = 10
y = 110
Put x = 15
y = 140
Creating the table,
x y
0 50
5 80
10 110
15 140
Hence, we get the table.
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Collect info on minimum and maximum temperature if 7 consecutive days in creative manner
Is this rational or irrational?
Answer:
Irrational.
Step by step explanation:
[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]
A roller coaster’s height is given by the equation h = –.086t^2 + 6t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.
34.88 seconds
50.00 seconds
50.17 seconds
77.29 seconds
The time it will take the ride to reach the floor is 77.29 seconds
Quadratic equationsThese are equations that has a leading degree of 2.
Given the function that represents the height of the roller coaster
h(t) = –0.086t^2 + 6t + 50,
At the ground level, h = 0
Substitute
h(t) = –0.086t^2 + 6t + 50,
–0.086t^2 + 6t + 50 = 0
0.086t^2 - 6t - 50 = 0
Factorize
On factorizing, the time it will take the ride to reach the floor is 77.29 seconds
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Answer:
D) t = 77.29 seconds
Step-by-step explanation:
The height of the rollercoaster at ground level is zero.
Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.
Set the equation equal to zero:
[tex]-0.086t^2 + 6t + 50=0[/tex]
Solve the equation using the quadratic formula.
What is the quadratic formula?The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.
[tex]\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]
In this case:
a = -0.086b = 6c = 50Substitute these values into the quadratic formula and solve for t:
[tex]t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}[/tex]
[tex]t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}[/tex]
[tex]t=\dfrac{6 \pm \sqrt{53.2}}{0.172}[/tex]
[tex]t=-7.52228495..., \;\; 77.2897268...[/tex]
As time is positive only, t = 77.29 seconds (2 decimal places).
Write two numbers that multiply to the value on top and add to the value on bottom.
-84
17
Two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition.
The two given numbers are -84 and 17.
We need to write two numbers that multiply to the value on top (-84) and add to the value on the bottom (17).
If we multiply 21 and -4, we get the product as -84.
That is, 21×(-4)=-84
If we add 21 and -4, we get the sum as -17.
That is, 21+(-4)=21-4=17
Therefore, two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.
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PLEASE HELP! i need done ASAP.
Answer:
m<A = 120
m<BCD = 120
m<DEC = 30
m<BFE = 90
Step-by-step explanation:
m<A is 120 cause all internal angles equal 720 added together in hexagons. 720 ÷ 6 = 120
m<BCD is 120 cause regular hexagons have eqaul angles
m<DEC is 0 cause total of the angle of triangle of triangle EDC is 180 where m<D = 120 which leaves m<E + m<C = 60 since they are equal we can combine them to m<E • 2 = 60. Divide and we get 30
m<BFE = 90 cause m<AFB = 30 and m<AFE = 120 subtract 120 and 30 to get 90
Select the value of each expression.
33.6
[4 x (4 + 3)]- 3
[(7-5)+ =] × 2
2
x
(5.4 + 3) x (62)
[9 ÷ 3 + 6] x 3
25
0
27
[
[
[
Answer:
the answer is [9÷3+6]×
Step-by-step explanation:
the Answer is [9÷3+6]×3 =25
Hailey created her own cleaning service and uses the equation t = 20n + 15 to represent her total earnings, t, for each job. If she earned a total of $80, how many hours, n, did she work?
Step-by-step explanation:
t = 20n + 15
t = 80
80 = 20n + 15
65 = 20n
n = 65/20 = 13/4 = 3.25 hours
Emily completed reading 24/3 books in 32/4 days. Find the number of books she would have completed in one day.
The number of books she would have completed in one day will be 2 books.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Emily completed reading 24/3 books in 32/4 days
Emily completed 8 books in 4 days. The number of the books will be calculated by using the expression below:-
4 days = 8 books
1 day = 8 / 4 = 2 books
Therefore the number of books she would have completed in one day will be 2 books.
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What are the coordinates of the point on the directed line segment from (−1,−6) to (8,-3) that partitions the segment into a ratio of 1 to 2?
The coordinates of the point on the directed line segment is (5,-4)
What is a line segment?A line segment is a line drawn to join two given points on the cartesian plane.
Analysis:
x coordinate = MX1 + NY1/M + N
y coordinate = MY1 + NY1/ M+N
where M and N are the ratio of division
x = 1(-1) + 2(8)/1+2 = 15/3 = 5
y = 1(-6) + 2(-3)/1+2 = -12/3 = -4
(5,-4)
In conclusion, the coordinates are (5,-4)
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$20.000 deposit earning 3.5% compounded monthly,after 10 years
Answer:
A = $28,338.18 after 10 yrs
Step-by-step explanation:
hope this helps
hope you can understand
Please help I am so confused
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 480 minutes, the monthly cost will be $277. If the customer uses 990 minutes, the monthly cost will be $532.
A) Find an equation in the form
y=mx+b, where x is the number of monthly minutes used and
y is the total monthly cost of the Ringular plan.
Answer:
y=
B) Use your equation to find the total monthly cost if 881 minutes are used.
Answer: If 881 minutes are used, the total cost will be
The total cost when 881 minutes is used is $477.50.
What are the equation that model the question?a + 480b = 277 equation 1
a + 990b = 532 equation 2
Where:
a = flat fee b = variable fee What is the flat fee and the variable fee?Subtract equation 1 from equation 2
510b = 255
b = 255 / 510
b = $0.50
In order to determine the flat fee, substitute for b in equation 1
a + 480(0.5) = 277
a + 240 = 277
a = 277 - 240
a = $37
What is the total cost when 881 minutes is used?
Total cost = flat fee + (variable cost x number of minutes spoken)
$37 + (881 x 0.5) = $477.50
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Find the area of each triangle.
Answer:
a) 30 square units
b) 36 square units
c) 18 square units
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Part (a)Base = 10
Height = 6
⇒ Area = 1/2 × base × height
= 1/2 × 10 × 6
= 30 units²
Part (b)Base = 12Height = 6⇒ Area = 1/2 × base × height
= 1/2 × 12 × 6
= 36 units²
Part (c)Base = 6Height = 6⇒ Area = 1/2 × base × height
= 1/2 × 6 × 6
= 18 units²
Dylan bought seven candy bars for $10.50. How much did he pay for each candy bar?
Answer: 1.5 or 1 1/2
Step-by-step explanation:
He payed $1.50 for each candy bar
How many whole numbers are there between 32 and 96?
Answer:
there are 20 while numbers between 32 and 96
Step-by-step explanation:
hope it helps and give me a brainliest
The number of whole numbers that come between 32 and 96 will be 64.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number of whole numbers that come between 32 and 96 is given as,
⇒ 96 - 32
⇒ 64
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Pleaseeee helppppp!!!!!!!!!
Answer:
107 degree
Step-by-step explanation:
interior angle sum of a hexagon is 720,
using S = (n - 2)*180
which is S =(4)*180
720-118-111-124-115-145=107
Which of the following is used only in non-Euclidean geometry?
A.
triangle
B.
circle
C.
great circle
D.
line
Answer:c
Step-by-step explanation:none of these are good answers as they can all exist in flat Euclidean space. The best answer is c because a great circle exists in spherical (non-flat) geometry . However it’s not really correct to say you could never describe a great circle in Euclidean space and whoever wrote this question (not you, the original author of the question) deserves to bite their tongue on their dinner tonight
what is the type of rule in which you can find any number of term in sequence without knowing the first or previous term
The type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.
What is the Explicit rule formula?The formula that determines the sequence's nth term is the explicit rule of an arithmetic sequence.
Using explicit formulae, one can compute any term in a series without first determining the value of the terms that came before it.
Therefore, we can conclude that the type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.
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What linear equation in slope intercept form does this graph represent?
Answer: Hope this helps
y = 3/5x + 100
Slope: 3/5
Y-int: 100
Step-by-step explanation:
y = mx + b
replace b with y-int
y = mx + 100
replace m with the slope which is 3/5
y = 3/5x + 100
How do you get slope?
Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.
How do you get the y-int?
Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.