On solving the provided question, we can say that length of the rectangle pool is is = 17.58
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
[tex](30+2x)(40+2x)-1200=3696\\1200+60x+80x+4x^2 -1200=3696\\4x^2 +140x-3696=0\\x=17.58 or -52.58\\[/tex]
length is = 17.58
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ4
A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance from his stand to each road is the same for all three roads. Where should he set up the refreshment stand?
A. on the centroid
B. on the circimcenter
C. on the incenter
D. on the median
James should set up the refreshment stand on the incentre of the obtuse triangle.
The incentre of a triangle is defined as the intersection between the angle bisectors of a triangle. The inradius is the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal.
The inradius is defined as the radius of an inscribed circle in the triangle. Therefore, the required shortest equal distance from his stand to each road so that the stand is at the same distance for all three roads is on the incentre.
Hence, the correct option is C.
To know more about incentre, here
https://brainly.com/question/29634968
#SPJ4
can someone help me w this angle side relationships in triangles geometry question
The angle measure of triangle DEF in order of smallest to largest is m∠E = 36.03°, m∠F = 70.72° and m∠D = 73.25°.
The answer is: m∠E < m∠F < m∠D
How to find the measure of the angles in the triangle?The angle of a triangle can be found given its 3 sides using the cosine rule.
The formula is: cos(C) = (a² + b² -c²) / 2ab
where c is the length of the side opposite angle C, a and b are the lengths of the other two sides, and cos(C) is the cosine of angle C.
DE = f = 69 miles, EF = d = 70 miles and DF = e = 43 miles
cos (F) = (d² + e² -f²) / 2de
cos (F) = (70² + 43² -69²) / (2*70*43)
cos (F) = 71/215
F = cos⁻¹(71/215)
F = 70.72°
cos (E) = (d² + f² -e²) / 2df
cos (E) = (70² + 69² -43²) / (2*70*69)
cos (E) = 93/115
E = cos⁻¹(93/115)
E = 36.03°
DE = f = 69 miles, EF = d = 70 miles and DF = e = 43 miles
cos (D) = (e² + f² - d²) / 2ef
cos (D) = (43² + 69² - 70²) / (2*43*69)
cos (D) = 285/989
D = cos⁻¹(285/989)
D = 73.25°
Learn more about cosine rule on:
brainly.com/question/3240813
#SPJ1
Cookie House charges different amounts for cookies based on how many cookies are purchased. If you only buy up to 5 cookies you are charged $2 per cookie. If you place an order for more than 5 cookies then you are only charged $1.50 per cookie.
Write a piecewise equation that represents the equation above.
Answer: A piecewise function is a function that is defined by multiple equations, each with its own domain. The equation for the situation can be represented as a piecewise function as:
f(x) = { 2x, 0<x<=5}
f(x) = { 1.5x, x>5}
Where f(x) is the cost of x number of cookies.
The first equation represents the cost of x number of cookies when x is between 0 and 5 (inclusive). The second equation represents the cost of x number of cookies when x is greater than 5.
So, the piecewise function that represents the cost of x number of cookies based on the given conditions is:
f(x) = { 2x, 0<x<=5}
f(x) = { 1.5x, x>5}
It means if you buy x number of cookies and if x is between 0 and 5 (inclusive) then you are charged $2 per cookie and if x is greater than 5 then you are only charged $1.50 per cookie.
Step-by-step explanation:
MARKING BRAINLIEST! please help asap, show your work
Answer: g(f(10)) = g(√2x+5) = 6x-3
We need to substitute x = √2*10 + 5 into g(x) = 6x - 3
g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27
So g(f(10)) = 6√20 + 27.
what is the probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards? round to the nearest thousandth.
The probability of drawing 2 cards in succession (without replacement) from a standard deck and having them both be face cards is 0.050
Since, a deck of cards contain 52 cards,
So, we have the value of sample space = n(S)=52
Consider the following values
A=in first draw there is a face card but
B= in the second draw there is a face card
[tex]$$\begin{aligned}& E=\{\boldsymbol{\bullet} J, \bullet J, \boldsymbol{\bullet} J, \boldsymbol{\wedge} J, \bullet Q, \bullet Q, \bullet Q, \wedge Q, \bullet \mathrm{K}, \bullet \mathrm{K}, \boldsymbol{\bullet} \mathrm{K}, \boldsymbol{\wedge} \mathrm{K}\} \\& n(E)=12\end{aligned}$$[/tex]
The probability in the first draw is a face card will be
P(A)=(12/52)
The Probability in the second draw there is also a face card will be
(B/A)=(11/52)
Now, from the formula for P(A and B),
We will get it as:
[tex]$$P(A \cap B)=P(A) \times P\left(\frac{B}{A}\right)$$[/tex]
Therefore,
[tex]P(A \cap B) & =\frac{12}{52} \times \frac{11}{51}[/tex]
=(132/2652) = 0.052
For more questions on probability
https://brainly.com/question/25870256
#SPJ4
Whats the explicit equation for the sequence: 8000, 4000, 2000, 1000?
Answer:
V÷ 2
Step-by-step explanation:
Get peevious number and divide by half.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $11.50. The drama club must make a minimum of $1300 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, ss, and the number of adult tickets sold, aa, that would satisfy the constraint.
The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The dramatization club is offering passes to their play to fund-raise for the show's costs. Every understudy ticket sells for $6.50 and every grown-up ticket sells for $11.50. The dramatization club should make at least $1300 from ticket deals to take care of the show's expenses.
Let 's' and 'a' be the number of tickets sold to students and adults, respectively. Then the inequality is given as,
6.5s + 11.5a ≥ 1300
The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
Determine whether the variable given is qualitative, quantitative-discrete, or quantitative-continuous. cholesterol level qualitative since this variable would yield numbers quantitative-continuous since this variable would yield numbers that count qualitative since this variable would yield categories quantitative-discrete since this variable would yield numbers that count quantitative-discrete since this variable would yield numbers that measure quantitative-continuous since this variable would yield numbers that measure
At the highest level of discrete value two kinds of data which are exists as quantitative and qualitative.
Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as quantitative data. When we classify or judge something, we create qualitative data. hence the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data count that can't be made as more precise. Typically it involves the number of integers. For at instance
Continuous data, on the other hand, of variable could be divided and reduced to maximally of finer and finer levels.
To know more about Continuous data ,click here:
brainly.com/question/29004144
#SPJ4
find the area of the shaded regions.give your answer as a completely simplified exact value in terms of \pi (no approximation). A= cm^2, P= cm
The area of the shaded circular region is given as follows:
18π cm².
How to obtain the area of the shaded region?The shaded region is part of a circle, hence the area of the circle has to be obtained.
The area of a circle of radius r is given by the multiplication of π and the square of the radius, as follows:
A = πr².
The radius of the circle in this problem is given as follows:
r = 9 cm.
Hence the area of the entire circle for this problem is given as follows:
A = π x (9)² = 81π cm².
The shaded region corresponds to an angle of 80º, while the entire circumference corresponds to an angle of 360º, hence the area of the shaded region is obtained as follows:
A = 80/360 x 81π = 18π cm².
Missing InformationThe figure is given by the image presented at the end of the answer.
More can be learned about the area of a circle at https://brainly.com/question/15673093
#SPJ1
Two buildings on level ground are 120 m and
85 m tall respectively. given that the angle of
elevation of the top of the taller building from
the top of the shorter building is 33.99, find the
distance between the two buildings.
Therefore , the solution of the given problem of trigonometry comes out to be 52.1 m separates the two buildings.
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between squares spline and The field is believed to have originated in the late 1700s, more likely beginning with in third century BC, through the fusion of astronomical and mathematical sciences. Numerous geometric equations or their possible uses in calculations are covered by precise mathematical techniques. The subject of trigonometric are the six basic trigonometric operations.
Here,
=> tan 33.9° = adjacent / opposite
=>Tan 33.9 = 35 / adj
=>0.6719=35/adj
=>adj=35/0.6719
=> adj=52.1 m
Consequently, 52.1 m separates the two buildings.
Therefore , the solution of the given problem of trigonometry comes out to be 52.1 m separates the two buildings.
To know more about trigonometry visit:
https://brainly.com/question/29002217
#SPJ4
(1)
22
Find the circumference of each circle. Take t =
7
(a)
(b)
14 cm
21 cm
The circumference of a circle is the distance encircling its edge. The length measured through the centre of a circle is its diameter. The radius of a circle is the distance from the centre to any point on the edge. The diameter and radius are identical in size, or 2r=d2 r=d.
What is the parameter for circumference of a circle?Circumference =2×227×21=132 cm. Q.
Another way to think about the circle's circumference curve is to look at its 360-degree arc. As a result, a circle's diameter is equal to its 360-degree arc's length.
(a) Circumference of the circle = 2πr
= 2 × 22/7 × 14 cm
= 2 × 22 × 2 cm
= 88 cm
(b) Circumference of the circle = 2πr
= 2 × 22/7 × 28 mm
= 2 × 22 × 4 mm
= 176 mm
© Circumference of the circle = 2πr
= 2 × 22/7 × 21 cm
= 2 × 22 × 3 cm
= 132 cm
Therefore, 176 mm and 132 cm is the circumference of a circle.
Learn more about Circumference here:
https://brainly.com/question/17009295
#SPJ1
Charlie works in a beauty salon.
He has three appointments today.
The time needed for each appointment is
Mr Brown (1 1¹hours)
Ms Pryce (1 hour 10 minutes)
Sam (31¹ hours).
He will have a 45 minute break.
Charlie will start work at 9:15 am
He wants to finish work by 4:30 pm
Will Charlie finish work by 4:30 pm?
Yes, Charlie can finish the work by 4:30 pm
With Mr. Brown, he has an appointment for 1 × [tex]1^{1}[/tex] hour
[tex]1^{1}[/tex] = 1
∴ 1 × 1 = 1 hour
So if he starts work at 9:15 am, he will finish an appointment with Mr. Brown at 10:15 am
9:15 means 9 hours 15 minutes
9 hours 15 minutes + 60mins [1 hour = 60 mins]
9 hours 75 mins ⇒ 10:15 am
With Mr Pryce he has an appointment for 1 hour 10 mins. He willl finish with him at 11:25 am
1 hour 10 minutes ⇒ 60 + 10 = 70 minutes
At 10:15am he starts work with Mr Pryce,
⇒10:15 + 70 minutes = 10:85 minutes = 11:25 am
Then if he takes a 45 minutes break,
11 hours 25 mins + 45 mins = 11 hours 70 mins = 12:10 pm
With Sam he has an appontment for 3 × [tex]1^{1}[/tex] hours. He will complete with him at 3:10 pm
⇒ 3 × 1 = 3 hours
At 12: 10 he starts with Sam,
12:10 means 12 hours 10 mins.
12 hours 10 mins + 3 hours = 15 hours 10 mins
⇒ 3:10 pm
Thus he finishes his work by 3:10 pm which is 1 hour 20 mins before 4:30 pm.
Learn more about Minutes:
https://brainly.com/question/20648883
Sarah uses a counterexample in her proof. How is this different from a direct proof? In using a counterexample, Sarah used a single example to show that a statement was . This technique is unlike a direct proof, in which evidence is used to support a series of statements to show why a statement is . A single example is to prove a statement true.
In using a counterexample, Sarah used a single example to show that a statement was False. This technique is unlike a direct proof, in which evidence is used to support a series of statements to show why a statement is True. A single example is enough to prove a statement true.
What is a counterexample ?A counterexample is a specific example that contradicts a general statement or claim. In mathematics, a counterexample is used to disprove a conjecture, hypothesis or theory by providing an example that does not follow the rule or pattern that is being proposed. It is a method of proof by contradiction.
Counterexamples can also be used to show that a conjecture or assumption is not universally true. They are important tools in mathematics and logic, as they allow us to test the validity of statements and identify any exceptions or limitations.
Find out more on counterexamples at https://brainly.com/question/12955211
#SPJ1
1) Pastor and Mrs. Gentle visited ten more church members this week than the number they visited last week divided by four. If they visited sixteen members this week, how many did they visit last week?
Answer:
24
Step-by-step explanation:
Let the number of members they visit last week be x.
Then, they visit x/4 + 10 this week
x/4 + 10 = 16
x = 4 x 6
x = 24
Pls mark as brainliest if possible. Don't know why i need it, but i do. Cheers
The diagram shows a cuboid ABCDEFGH
ABCD is a square 25cm^2
CG=12cm
Find the volume of the cuboid
Answer:
Step-by-step explanation:
Volume of cuboid = AC x CD x CG. (Cuboid formula is l x b x h)
Now, given, area of ABCD is 25.
Area of square = a² or AC x CD
Therefore, substituting that in the first line, we get,
25 x CG = volume,
or 25 x 12 = 300 cm³. (Given CG is 12cm)
find an equation of the plane. the plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)
25x -15y -40z +45 =0 is the equation of the plane that passes through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1).
Let the given points be P(2 , 1 , 2) ,Q(3 , -8 , 6) and R(-2 , -3 ,1)
PQ = (3-2 , -8-1, 6-2)
=(1 , -9, 4)
PR = (-2 -2,-3-1 ,1-2)
=( -4 ,-4 ,-1 )
→PQ * →PR = [tex]\left[\begin{array}{ccc}i&j&k\\1&-9&4\\-4&-4&-1\end{array}\right][/tex]
=(9+16)i + (-16+1)j + (-4 -36)k
= 25i - 15j - 40k
Therefore , the normal vector to the plane is
→n = (25 , -15 ,-40)
Since , the plane passes through all the three points we can choose any point to find its equation .So,the equation of the plane through the point P(2,1,2) with normal vector
→n = (25,-15,-40) is
25(x-2) - 15(y-1) -40(z-2) =0
⇒25x - 50 -15y + 15-40z+80=0
⇒25x -15y -40z +45 =0
For such more questions on Vector :
brainly.com/question/29740341
#SPJ4
Can someone help me solve this math problem in a quadratic model
The existence of positive integers is a given,Therefore, 8, 9, and 10 are three consecutive whole numbers.
What is quadratic model?A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola. contrasting the linear model
The numbers should be x, x + 1, and x + 2.
Then, in response to the query, x 2
x ^2 + (x + 1)(x + 2) = 9.
2x^2 +3x - 9 =(2x+19)(x8)=0. + (x + 1)(x + 2) = 9.
It results in x=2 19,8.
Since the existence of positive integers is a given.
Therefore, 8, 9, and 10 are three consecutive whole numbers.
Use the following to solve any quadratic equations problem:
To learn more about quadratic equations refer to:
https://brainly.com/question/1214333
#SPJ1
Determine the slope of a line perpendicular to -3x + 5y = 20
The slope of the original line is 3/5.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
The slope of a line perpendicular to another line can be found by taking the negative reciprocal of the slope of the original line.
To find the slope of the original line, we need to convert the equation to the slope-intercept form (y = mx + b), where m is the slope.
To convert, we'll isolate y:
-3x + 5y = 20
5y = 3x + 20
y = (3/5)x + 4
The slope of the original line is 3/5. The slope of the line perpendicular to this line would be the negative reciprocal of this slope, or -5/3.
Hence, The slope of the original line is 3/5.
To learn more about the slope visit,
https://brainly.com/question/29044610
#SPJ1
he length of a rectangle is 11/5 cm and its breadth is 13/5 cm. What, in sq. cm, is the area of the rectangle?
Answer:
Step-by-step explanation:
The area of a rectangle can be found by multiplying its length and breadth. In this case, the length is 11/5 cm and the breadth is 13/5 cm. Therefore, the area of the rectangle is (11/5 cm)*(13/5 cm) = 143/25 sq. cm = 5.72 sq. cm.
my sock drawer is always a mess. at the beginning of the week, i have 4 pairs of black socks, 5 pairs of blue socks, 3 pairs of brown socks, and 2 pairs of multi-colored socks. every morning, i grab a pair and hope for the best. if on the 1st three days i pick 1 black pair and 2 blue pairs, what is the probability that i'll pick a solid color on the 4th day?
The probability of picking a solid color on the 4th day is 8/10 = 4/5.
The probability of picking a solid color on the 4th day is calculated by taking the total number of solid color pairs remaining in the drawer and dividing by the total number of pairs remaining.
On the first three days, you picked 1 black pair and 2 blue pairs, so you have 3 black pairs, 3 blue pairs, 3 brown pairs and 2 multi-colored pairs left in your drawer.
The total number of solid color pairs remaining is 8, and the total number of pairs remaining is 8+2 = 10.
So, the probability of picking a solid color on the 4th day is 8/10 = 4/5.
Learn more about conditional probability and counting here: https://brainly.com/question/10567654
#SPJ4
(02.04 HC)
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
f(x)
f(x) = -2(x-4)2 +2
X
-4-3-2
h(x)
For [tex]f(x)[/tex], the axis of symmetry is the vertical line passing through the vertex. Matching with vertex form, we see the vertex of the graph of [tex]f(x)[/tex] has coordinates [tex](4,2)[/tex]. Thus, the axis of symmetry has equation [tex]x=4[/tex].
Similarly, for [tex]h(x)[/tex], the axis of symmetry is the vertical line passing through the vertex. The vertex of the graph of a quadratic function is either the minimum or maximum point (it depends on the leading coefficient of the function). Here, there is a maximum point, which has coordinates [tex](-2,2)[/tex]. Thus, the axis of symmetry has equation [tex]x=-2[/tex].
PLS HELP I WILL MARK IT BRAINLIEST
Consider the line -7x - 5y = -1
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
I find it best to view these equation in the slope-intercept form.
-7x - 5y = -1
Let's rearrange the terms to isolate the y and put the equation in the y=mx+b form
5y = -1 + 7x
y = -1/5 + (7/1)x
or y = +(7/1) x + -1/5
Here m, the slope, = 7/1
A line parallel to this line will have the same slope or 7/1
A line perpendicular to this line will have a slope that is the negative inverse of this slope, in other words -1/7
Hope this helps - Please mark as Brainliest
A new health drink has 140% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 40mg. How many milligrams of the vitamin are in the drink?
The drink contains 56mg of the vitamin while RDA is only 40mg.
What is milligram?The SI unit of mass, the kilogramme, is 1000,000,000 times larger than the milligramme (mg), which is a unit of mass. Using a lowercase m and lowercase g, a milligramme is abbreviated as mg.
There are 1000 milligrammes in a gramme, hence the use of the prefix milli to denote the thousandth.
There are 10-6 kilogrammes in a milligramme. When describing drug doses, milligrammes are frequently used.
We have to count 140% of the RDA to find the how much vitamins its contains.
Here, RDA = 40mg
140% × 40
140/100 × 40
1.4 × 40
56mg
Thus, the drink contains 56mg of the vitamin while RDA is only 40mg.
Learn more about milligramme
https://brainly.com/question/29194405
#SPJ1
Heartsville School is sponsoring a fundraising dinner to raise money for the students attending the International Student Convention. Ajani sold thirty-six tickets, which was twice the number of tickets Miguel sold. How many tickets did Miguel sell?
Answer:
Miguel sold 18 tickets
Step-by-step explanation:
If Ajani's 36 tickets sold was twice the amount of Miguel's, you simply have to divide 36 by 2 for the right answer
36÷2=18
Select the parallel lines from the given pairs of lines :
Select one:
a.
y = x / 3 + 11, y = x / 2 + 15
b.
y = 3x + 11, y = 3x + 15
c.
y = 3x + 11, y = − 3x + 15
d.
y = 3x + 11, y = x / 2 + 15
Answer:
b.
y = 3x + 11, y = 3x + 15
Step-by-step explanation:
Both lines have the same slope, so they are parallel.
find the first partial derivatives of the function. z = x sin(xy)
The first partial derivatives of the function z = x sin(xy) is x²cos(xy)
The term partial derivatives is defined as the rate of change of a function with respect to a variable and the derivatives are fundamental to the solution of problems in calculus and differential equations.
Here we have given that the function z = x sin(xy).
And as per the definition of partial derivative the value is calculated as,
Here we have given that
=> f(x, y) = x sin(xy)
And then here we need to find fx we treat y as constant and differentiate with respect to x, then we get
=> fx = sin(x y) + xy cos(xy)
Similarly now we have to find fy we treat x as constant and differentiate with respect to y
=> fy = x²cos(xy)
To know more about derivatives here.
https://brainly.com/question/25752367
#SPJ4
4
select the correct answer from each drop-down menu.
martin and clara decide to keep track of the number of different colors in two brands of tennis shoes, brand a and brand b. their results are represented by the dot plots.
1)the mean absolute deviation for brand a is .____
2)the mean absolute deviation for brand b is .____
3)the mean absolute deviations for the two brands____ similar.
choices for the lines:
1)1.905, 2.02, 4.9, 8,
2)1.905, 2.02, 5, 5.55
3)are not, are
Brand A's mean absolute deviation is 2.02, whereas brand B's is 1.905, showing that the two brands' mean absolute deviations ARE comparable.
What's the short, sweet definition?A group of at least two numbers is simply averaged mathematically to get the term "mean." There are several ways to calculate the mean for one given collection of numbers, including as the arithmetic mean approach, which utilizes the sum of the series' values, and the root - mean - square method, which takes the average of a group of products.
For every dot plot, determine the mean absolute deviation.
Deviation from the mean for Brand A:
The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9
Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9)/20 = 98/20
Mean = 4.9
Mean Absolute Deviation = [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) + (4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) + (7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] / 20
= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] / 20
= 40.4/20
Brand A's mean absolute deviation was 2.02, while Brand B's was:
The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10
Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)/20
Mean = 111/20 = 5.55
Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20
Deviation from the mean is 38.1/20.
Brand B's mean absolute deviation is 1.905.
As a result, the following judgment is made regarding the outcomes illustrated by the determine the exact location:
For brand A, the average absolute deviation is 2.02
For brand A, the average square deviation is 1.905.
For the two brands, the Average Absolute Deviation IS comparable.
To know more about Mean visit:
https://brainly.com/question/20118982
#SPJ4
The complete question is-
Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is____ The mean absolute deviation for brand B is__ The mean absolute deviations for the two brands ___ similar.
Q: Find (i) The area and (ii) The perimeter of the shaded region in each of the following figures given that all arcs are either quadrant or semicircles.
(please help me solve this and tell me how to solve it properly!)
Answer:
Step-by-step explanation:
ask if you don't understand my answer
Answer:
Shaded area = 42.1 cm^2
Shaded perimeter = 44 cm
Step-by-step explanation:
See the attached worksheet. The approach is the subtract the 4 semicircle areas from the total quare area to obtain the area of the shaded region. The perimeter is calculated by the perimeter of one complete circle. Since all four semicircles are 1/4 of the full circle, the total perimeter is equivalent to one full circle.
60% of ms. howard's class ordered a hot lunch from the cafeteria. if 15 students ordered a hot lunch, how many students are in ms. howard's class?
Based on the number of 60% students, the total number of students in Ms. Howard's class are 25.
Let the total number of students be x. Based on the mentioned information, we can say that 60% of total number of students ordering a hot lunch are 15. Rewriting the mentioned information as equation -
60% × x = 15
60/100 × x = 15
x = 15 × 100/60
Performing multiplication on Right Hand Side of the equation
x = 1500/60
Cancelling zero and performing division on Right Hand Side of the equation
x = 25
Therefore, there are 25 students in the class.
Learn more about percentage -
https://brainly.com/question/24877689
#SPJ4
CLASS 10 CBSE
PLS ANSWER ASAP
from a solid cylinder whose height is 15 cm and the diameter is 16 cm a conical cavity of the same height and same diameter is hollowed ou
t find the total surface area of remaining solid
The total surface area of the remaining solid is 443.14cm2
What drives your use of surface area?A three-dimensional object's surface area is the sum of all of its faces. Real- world applications of the concept of surface areas include wrapping, painting, and eventually building things to achieve the best possible design.
Here,
Given:
h = 15, r = 8cm
Slant height of cone
1 = r2+h2 = (8)2 + (15)2 = 17
Total Surface Area = Curved Surface area of Cylinder + Curved Surface area of Conical Part + Area of Circular
=2arh+arl+πr2
=2(3.14)(8) (1.5) + (3.14) (8) (17) + (3.14)(17)2 =443.14cm2
Therefore , the solution of the given problem of surface area comes out to be 443.14cm2.
To know more about surface area visit:-
brainly.com/question/29101132
#SPJ1
