The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
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(MAD) 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.The mean absolute deviation represents the average by which the values differ from the mean.For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.
More can be learned about the Mean Absolute Deviation(MAD) concept at https://brainly.com/question/3250070
#SPJ1
HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
4√2 . √2
= 4 * 2
= 8
3√7 - 2√7
= √7 ( 3 - 2 )
= √7 ( 1 )
= √7
√7 / 2√7 = 1 / 2
2√5 . 2√5
= 2 * 2 . √5 *√5
= 4 * 5
= 20
If the scale factor is 1 do I divide or multiply?
Multiply
Scale factor is directly proportional to algebraic operations
If scale factor is 1/2 then you have to divideIf scale factor is +3 or -3 you have to add and subtract respectivelyAs it's 1 only you have to multiply
4. Maryam's average monthly expenses are $3,750. She wants to have an emergency fund that
covers 3 months of expenses saved up within the next 24 months. If she's starting with $300 in
her account, how much does she need to save each month to reach that goal?
Answer:
$456.25 each month
Step-by-step explanation:
Fund for 3 months 3750 * 3 = 11250
Start with 300 => 11250 - 300 = 10950
Within 24 months to reach 10950 => each month = 10950 / 24 = 456.25
She needs to save $456.25 each month for the next 24 months to reach her goal.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Monthly expenses = $3,750
For 3 months = 3 × 3750 = $11250 need to save total.
Since she started with $300 so
11250 - 300 = $10950 need to save total.
Let's say the amount per month is x
24x = 10950
x = 456.25.
Hence "She needs to save $456.25 each month for the next 24 months to reach her goal".
For more about the equation,
https://brainly.com/question/10413253
#SPJ2
hi lots of work today
Answer:
x-axis
Step-by-step explanation:
The lateral line on a graph is known as the x-axis
Can someone help me with this question please
The congruent parts of the triangle are:
< A ≅ <X
<B ≅ <Z
<C ≅ <Y
AB ≅ XZ
AC ≅ AY
BC ≅ ZY
BCA ≅ ZYX
What are the congruent parts?The shape in the image are right angle triangles. A right angle triangle is a triangle that has three sides and a right angle. Congruent triangles are triangles that have the same size and the angles.
To learn more about right angled triangle, please check: brainly.com/question/20694080
#SPJ1
Match each set of measurements to the correct calculated volume of a cylinder.
Cylinder V=Bh
diameter = 6 ft, height = 2.5 ft
volume = 20 ft
radius = 2 ft, height = 4.5 ft
volume = 187 ft
area of base = 102 ft2, height = 2 ft
→
volume = 22.5% ft3
Answer:
Diameter = 6 ft, height = 2.5 ft=====Volume 22.5
Radius = 2ft, height=4.5 ft=======18 pie ft ^3
Area Base = 10Pie ft ^2 , height =2 ft=====Volume 20 pie ft ^3
Step-by-step explanation:
edge 2022
HELPPPP!!! LAST QUESTION!!!
Answer:
1/12
Step-by-step explanation:
Total students: 24
Requirement: 2
Simplify:
2/24 -> 1/12
PLEASE HELP ASAP WILL GIVE BRAINLIEST !!
You are planning to join a gym. Muscles Gym costs $100 to join and $25 each month (C= 100 + 25x) and Cardio Gym costs
nothing to join and $50 each month (C = 50x).
Solve this linear system and choose the true statement below. (Look carefully at the order of the numbers in the solution.)
A.) The solution is (200, 4). This means that it will cost me $200 to go to either gym 4 times.
B.) The solution is (4, 200). This means that it will cost me $200 to go to either gym 4 times.
C.) The solution is (4, 200). This means that at 4 months of
membership, either gym will cost $200.
D.) The solution is (200, 4). This means that at 4 months of
membership, either gym will cost $200.
You have at most $23 to spend at a market. Apples cost $0.50 each, and pears cost $0.75 each. Let a be numbers of apples and p be numbers of pears. Write an inequality that represents the numbers of apples and pears you can afford.
Answer:
Apples only
0.50a ≤ 23
Pears only
0.75p ≤ 23
Apples and Pears together
0.50a + 0.75p ≤ 23
Step-by-step explanation:
Since it said that "at most", the sign should be ≤
Evaluate i=∫c(sinx 9y)dx (3x y)dy for the nonclosed path abcd in the figure. A=(0,0),b=(4,4),c=(4,8),d=(0,12)
The value of the integration for a non closed path abcd will be -88
What is cyclic integration?
Cyclic integration is the integration over a closed loop.Close the path by connecting D to A. Then by Green's theorem, the integral over the closed path ABCDA - which I'll just abbreviate C - is
[tex]\oint_c(Sin(x)+9y)dx+(4x+y)dy\\\\\\[/tex]
[tex]=\int\int \dfrac{\partial (4x+y)}{\partial x} -\dfrac{\partial (Sin(x)+9y)}{\partial y}dxdy[/tex]
[tex]=-5\int\int dxdy[/tex]
(where int(C ) denotes the region interior to the path C )
The remaining double integral is -5 times the area of the trapezoid, which is
[tex]-5 \int\int dxdy=\dfrac{-5}{2}\times (12+4)\times 4=-160[/tex]
To get the line integral you want, just subtract the integral taken over the path DA. On this line segment, we have x = 0 and dx = 0, so this integral reduces to
[tex]\int _{DA} ydy=\int\limits^0_{12} y dy=-\int\limits^{12}_0ydy =-72[/tex]
Then
[tex]\int_{ABCD}9Sin(x)+9y)dx+(4x+y)dy=-160-(-72)=-88[/tex]
To know more about cyclic integration follow
https://brainly.com/question/27419605
#SPJ4
One figure models 1/4 as 4 of 12 equal parts of a whole. The other models 1/3 as 1 of 3 equal parts of a whole. What is true about the equal parts for the two fractions?
The correct option for this questions is Option C
Equivalent Fractions for 4/12:
1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60, and so on ...
How do you find equivalent fractions?Two frations are equivalent when they have the same value when written in lowest terms. The fraction 8/24 is equal to 1/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (1/3) by any interger number, ie, multiply by 2, 3, 10, 30.
2/6 is equivalent to 4/12 because 1 x 2 = 2 and 3 x 2 = 63/9 is equivalent to 4/12 because 1 x 3 = 3 and 3 x 3 = 94/12 is equivalent to 4/12 because 1 x 3 = 4 and 3 x 3 = 12Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.
Thus, option c is your answer
Learn more about equivalent fractions here:
https://brainly.com/question/24679788
A. (1, –4); minimum
B. (0, –3); minimum
C. (–1, 0); minimum
D. (1, –4); maximum
Answer: The correct answer is A.
Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).
work out the equation of the line which has a gradient of 3 and passes through the point of (-1,3)
[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]
Which of the following terms best describes the red line segment in the
ellipse shown below?
O A. Center
O
B. Focus
O
C. Minor axis
D. Major axis
The term that best describes the red line segment of the ellipse is minor axis . C
What is an eclipse?
An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.
The axis of an eclipse could major or minor.
The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical. It is perpendicular to the major axis and passes through the center of the axis.
Therefore, the term that best describes the red line segment of the ellipse is minor axis . C
Learn more about eclipse here:
https://brainly.com/question/1077760
#SPJ1
PLSSS I NEED HELP I’LL MARK BRAINLYESS OR WTV IS CALLED
Answer: y= -7 y= -5 y= -3 y= -1
Step-by-step explanation:
What is the difference between the greatest
and least amounts of monthly rainfall?
Write an equation to
model your work.
Answer:
Step-by-step explanation:
Answer:
1\frac{7}{8} inches1
8
7
inches
Step-by-step explanation:
From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference
2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−
8
1
=
8
16−1
=
8
15
=1
8
7
Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1
8
7
inches
Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.
I hope it helps you
Eight less than four times a number is less than 56. What are the poss
O x> 12
O x < 12
O x<16
O x>16
Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.
==============================================================
Work Shown:
x = some unknown number
4x = four times that number
4x-8 = eight less than the previous expression
4x-8 < 56
4x < 56+8
4x < 64
x < 64/4
x < 16 showing why choice C is the answer
The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.
If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.
In other words: if x < 12, then x < 16. The reverse is not true.
HELP ME PLEASE In a given diagram below, ray AB bisects angle FAE. BF = 2x + 8 and BE = 42.
A. Set up an equation to solve for "x".
B. Show your work and solve for "x".
When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.
What is an angle?When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."
Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.
BF = BE
2x+8=42
2x=42-8
2x=34
x = 17
Hence, the value of x is 17.
Learn more about Angle:
https://brainly.com/question/7116550
#SPJ1
Can someone help on these two?, Its okay if you can only do one.
Answer:
5 shaded region area = 100 - 78.5 = 21.5 sqm
6 c
Step-by-step explanation:
5. area of square = 10 x 10 = 100 sqm
area of circle = pi * r^2 = pi (5)^2 = 78.5 sqm (take pi as 3.14)
shaded region area = 100 - 78.5 = 21.5 sqm
6. for a straight line, equation is y = mx + b
m = 5, b = -12 in this case
Which equation shows the same relationship as 72 x 1/8 = 9?
Hey there!
72 * 1/8 = 9
= 72/1 * 1/8
= 72(1) / 1(8)
= 72 / 8
= 72 ÷ 8
= 9
Thus, the answer could either be:
• 72/1 * 1/8
• 72 / 8
OR
• 72(1) / 1(8) (hence how we possibly received answer number 2)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need to know how to solve these using the box method
Answer:
5. (2x-3)(3x+2)
6.(x-8)(2x-5)
7.(5x-2)(2x+1)
8.(4x+3)(x+3)
Step-by-step explanation:
example on how to solve this in not how you solve your questions
2x times x = 2x2
2x times 2 = 4x
5 times x = 5x
5 times 2 = 10
The factors are (2x + 5) and (x + 2), so 2x2 + 9x + 10 = (2x + 5) × (x + 2)
4x and 5x are interchangeable, so you could put 5x in the first row and 4x in the second row and still get the same answer.
Find the value of x.
x:12=5:8
Answer:
Since 5:8is constant with respect to x, the derivative of 5:8 with respect to x is 0.0
Step-by-step explanation:
Answer:
x = 7.5
Step-by-step explanation:
expressing the ratio as a fraction , that is
[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )
8x = 60 ( divide both sides by 8 )
x = 7.5
The first four numbers of a sequence are 3,9,27, and 81. If this sequence continues, what are the next two numbers?
Answer:
243 and 729
Step-by-step explanation:
next will be 81 x 3= 243
next will be 243 x 3= 729
Answer:
243 729
Step-by-step explanation:
r = common ratio = 3 means multiply each number by 3 to get the next number
3 9 27 81 (81*3 ) ( 81*3)*3
3 9 27 81 243 729
pls help me classify this?!?
Answer:
what exactly are we classifying here, angle? Shape?
How long is it:
a) from 18 00 until 09 45 the next day?
b) from 07 30 until 01 45 the next day?
c) from 18 50 until 09 20 the next day?
d) from 08 10 until 00 35 the next day?
Answer:
a) 15h 45m gap
b) 06h 15m gap
c) 14h 30m gap
d) 16h 25m gap
Answer:
a) 3 hours and 45 mins
b) 18 hours and 15 minmins
c) 2 hours and 30 mins
d) 16 Hours and 20 mins
I might be wrong...
Which one of the following statements is true about parallel lines
A. The Intersect at least twice
B. They intersect at one point
C. They intersect at more than one point
D.they never intersect
Answer:
D. They never intersect
Step-by-step explanation:
What is the Trigonometric ratio of cos180?
[tex]\cos 180^{\circ}\\\\=\cos(2 \cdot 90^{\circ})\\\\=2 \cos^2 90^{\circ}-1\\\\=2 \cdot 0 - 1\\\\=0-1\\\\=-1[/tex]
whats f? 0.62(f + –6) + 6.96 = 8.2
Answer:
f=8
Step-by-step explanation:
0.62(f+(-6)+6.96=8.2
0.62(f-6)+6.96=8.2
multiply both sides by 100
0.62(f-6)*100+6.96*100=8.2*100
Refine
62(f-6)+696=820
Subtract 696 from both sides
62(f-6)+696-696=820-696
Simplify
62(f-6)=124
Divide both sides by 62
62(f-6)/62 = 124/62
Simplify
f-6=2
add 6 to both sides
f-6+6=2+6
simplify
f=8
Answer:
8
Step-by-step explanation:
1. Distribute 0.62 to each term in the parenthesis:
0.62(f) + 0.62(-6)
0.62f - 3.72 + 6.96 = 8.2
2. Add 3.72 and 6.96:
0.62f - 3.72 + 6.96 = 8.2
0.62f + 3.24 = 8.2
3. Subtract 3.24 from both sides of the equation:
0.62f + 3.24-3.24 = 8.2-3.24
0.62f = 4.96
4. Divide 0.62 by both sides to isolate f:
0.62f/0.62 = 4.96/0.62
f = 8
hope this helps!
What is the explicit arithmetic sequence formula for 72, 48, 24,....?
Answer:
f(x)=x-24
Step-by-step explanation:
It is decreasing by 24. Hope this helps!
Answer:
The formula is f(x) = x-24
Step-by-step explanation:
72-24=48
48-24=24 and so on
A gardener wants to fence in her plot in two equal rectangular sections. If she has 54 yards of fence and the area of the entire plot is 108 square yards, find the possible dimensions of the garden.
Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.
What are the area and the perimeter of a rectangle?Considering a perimeter of length l and width w, we have that:
The area is lw.The perimeter is 2(l + w).In this problem, considering the amount of fencing as the perimeter, and the area, we have that:
2(l + w) = 54 -> l + w = 27 -> w = 27 - l.lw = 108.Then:
l(27 - l) = 108
l² - 27l + 108 = 0.
Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:
[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]
[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]
[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]
Then, the possible dimensions are of 22.11 yards and 4.89 yards.
More can be learned about the perimeter and the area of a rectangle at https://brainly.com/question/10489198
#SPJ1
