Answer:
Length of the container = 82 cm
Step-by-step explanation:
Given:
Breadth of the container is 40 cm and height of the container is 55 cm
Volume of the container is 180 litres
To find: length of the container
Solution:
A container is in the shape of the cuboid.
Volume of cuboid = length × breadth × height
Put breadth = 40 cm , height = 55 cm and volume = 180 litres = 180000 \(cm^3\)
(as 1 litre = 1000 \(cm^3\) )
Therefore,
\(180000=length\,\times \,40\times 55\\length = \frac{180000}{40\times 55}=81.82\approx 82\,\,cm\)
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
Round 56.28 to the nearest ten
A.50
B 56
C 56.3
D 60
E none of these
Isn’t the answer D 60
Answer:d
Step-by-step explanation:
witch of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it
a. length(time)
b.Time(race)
c.time(length)
d.cost(time)
The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".
When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.
In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.
a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.
b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.
c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.
d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.
Therefore, "time(length)" is the most suitable and appropriate name for the function.
For more such questions on function, click on:
https://brainly.com/question/11624077
#SPJ8
GIVING OUT BRAINLIEST HELP PLEASE ❤️
Answer:
C
Step-by-step explanation:
x=?.........................
Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
The scatter plot shows a correlation between the number of participants and the year of
the snowboarding competition.
The line of regression models that correlation.
Enter a number to complete each statement.
Answers:
In 2003, there were 32 ...
The model predicts ... 40 ...
... 8 below what the model predicted
In 2003, there were 32 ...
-> We find the x-axis of 2003 and look up until we hit the line, then we find the y-coordinate for that point
-> 32
The model predicts ... 40 ...
-> The green 8 with an arrow shows the prediction
-> 40 - 8 = 32
-> 40
... 8 below what the model predicted
-> The green 8 shows the difference in the prediction and the actual participation
-> 8
Need help pleaseee …
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
An elevator in a tall building goes up 7 floors then down 9 floors down 4 floors up 8 floors and down 2 floors now it it in floor 14 on what floor did the elevator start
Answer: I'm pretty sure its 14.
Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14
Which point is located on the line represented by the equation y + 4 = –5(x – 7)?
(-4, 7)
(-7, 4)
(7, -4)
(4, -7)
Answer:
(7,-4)
Step-by-step explanation:
y + 4 = -5(x-7) Substitute in 7 for x and -4 for y
-4 + 4 = -5 (7-7)
0 = 5(0)
0 = 0 This is a true statement.
What is the answer to this question and how to solve?
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
Por qué estaría el cuervo parado en la rama de un árbol con un trozo de queso en el pico.
El cuervo está parado en una rama con un trozo de queso en el pico debido a que tenía la intención de reservarlo para otra ocasión. No obstante lo pierde por creer en el zorro.
¿Por qué estaría el cuervo parado en una rama de un árbol con un trozo de queso en el pico?El cuervo estaría parado en una rama de un árbol con un trozo de queso en el pico debido a que le gustaba reservar comida para tener provisiones disponible para ocasiones futuras. No obstante, en la fábula se menciona que se encuentra con el zorro que tiene el proposito de quitarle el trozo de queso.
Para ello, el zorro comienza a adular al cuervo para que cante y este cae en la trampa, soltando el trozo de queso. Luego de esto, el zorro toma el trozo de queso y se va.
Nota: Esta pregunta está incompleta debido a que tiene información faltante. A continuación se menciona la información faltante.
Fábula: El cuervo y el zorro.Aprenda más sobre fábulas en: https://brainly.com/question/12343277
#SPJ1
I need some help with this math problem
it's letter A
because
150×2=300
i hope this helps<3
What is 35% of 280?
Answer:
98
Step-by-step explanation:
Multiply.38*280
Answer:
98
Step-by-step explanation:
To find the answer I multiplied 280 by 0.35, that is how you can quickly find a percentage. For example if you would like to find what is 7% of 280 you can just multiply it by 0.07.
A rectangular tin measure 20cm by 10cm by 10cm. What's it's capacity in litres
Answer:
2 Litres
Step-by-step explanation:
A rectangular tin measure 20cm by 10cm by 10cm. What's it's capacity in litres
find Volume ( Volume = L x W x h)20 * 10 * 10 = 2000cm^3
Convert cubic centimeters to litres1000 cm^3 = 1 Litres
2000 cm^3 = 2 Litres
The dimension of a rectangular prism are 5cm, 5 cm, and 2 cm determine the surface area
A. 50 cm
B. 25 cm
C. 60 cm
D 120 cm
E. 90 cm
Answer:
A 50
Step-by-step explanation:
Multiply 5 x 5 to get 25. Then multiply 25 x 2 to get 50 as the surface area!
Hope this helps! Pls mark brainliest!
WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP
The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29
Answer:
I think B but I'm not sure
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
you're welcome <3
What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
Learn more about set on
https://brainly.com/question/13458417
#SPJ1
Two angles of a quadrilateral measure 130° and 195°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
The measure of other two angles in the given quadrilateral are 10° and 25°.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, two angles of a quadrilateral measure 130° and 195°.
The other two angles are in a ratio of 2:5.
So, the other two angles are 2x and 5x
Now, 130°+195°+2x+5x=360°
325°+7x=360°
7x=360°-325°
7x=35°
x=5
So, 2x=10° and 5x=25°
Therefore, the measure of other two angles in the given quadrilateral are 10° and 25°.
Learn more about the quadrilaterals here:
https://brainly.com/question/29934440.
#SPJ1
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A containing
135 pieces of candy, one bag of candy B containing 495 pieces of candy, and one bag of candy C containing 315 pieces of candy. She
needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so that each one has the same number
and variety of candy? How many of each type of candy will be in each bag?
Step-by-step explanation:
we need the greatest or largest common factor (LCF) to find how many bags.
method prime factorization :
beginning with 2 we divide the number as often as possible by the current prime number until there is a remainder. then we use the next higher prime number and do the same.
when we reach 1 as final result, the process ends.
135 ÷ 2 not possible, going to 3
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 3 not possible, going to 5
5 ÷ 5 = 1 end
135 = 3×3×3×5
495 ÷ 2 not possible, going to 3
495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 3 not possible, going to 5
55 ÷ 5 = 11
11 ÷ 5 not possible, going to 7
11 ÷ 7 not possible, going to 11
11 ÷ 11 = 1 end
495 = 3×3×5×11
315 ÷ 2 not possible, going to 3
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 3 = not possible, going to 5
35 ÷ 5 = 7
7 ÷ 5 not possible, going to 7
7 ÷ 7 = 1 end
315 = 3×3×5×7
the LCF is the longest sequence of prime factors the numbers have in common.
so, again, the numbers as prime factors in comparison :
135 = 3×3×3×5
495 = 3×3×5×11
315 = 3×3×5×7
they have in common
3×3 and 5
the LCF = 3×3×5 = 45
so, she can make max. 45 treat bags.
each bag will contain
135/45 = 3 pieces of candy A
495/45 = 11 pieces of candy B
315/45 = 7 pieces of candy C
you notice, how these numbers are exactly the remaining factors of the prime factoring ? it is not a coincidence ...
notice that 45 is the maximum number of treat bags.
following the prime factor combinations she could also create fewer treat bags (but with correspondingly more content).
she could create also
1 or
3 or
5 or
9 or
15
treat bags.
What is the solution set of 6x-24 =0? x^2
The solution to the Quadratic equation x², when x satisfies the equation 6x - 24 = 0, is x²= 16.
What is Quadratic equation?A quadratic equation is a polynomial equation of the second degree, meaning it contains one or more terms that involve a variable raised to the power of two. The standard form of a quadratic equation is:
ax^2 + bx + c = 0,where a, b, and c are constants, and x is the variable.
According to given informationThe given equation is 6x - 24 = 0.
To solve for x, we can isolate x on one side by adding 24 to both sides of the equation:
6x - 24 + 24 = 0 + 24
6x = 24
Then, we can solve for x by dividing both sides by 6:
6x/6 = 24/6
x = 4
Therefore, the solution to the equation 6x - 24 = 0 is x = 4.
Now, to solve for x², we can simply substitute x = 4 into the equation x²:
x² = 4²
x^2 = 16
Therefore, the solution to the equation x², when x satisfies the equation 6x - 24 = 0, is x² = 16.
To Know more about quadratic equation Visit:
brainly.com/question/30098550
#SPJ1
Simplifica:
7 - 2 ( 3 + 1)
-
Answer:
-1
Step-by-step explanation:
7-2(3+1)
=7-2(4) or =7-(6+2)
=7-8
=-1
f(t) = 0.25t2 − 0.5t + 3.5
The resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
Function and valuesFunctions are expressions in form of variables. Given the following quadratic equation expressed as:
f(t) = 0.25t^2 − 0.5t + 3.5
We can find the equivalent value of the function when the value of t a re 2 and 6.
If the value of t is 2. hence;
f(2) = 0.25(2)^2 − 0.5(2) + 3.5
f(2) = 1 - 1 + 3.5
f(2) = 3.5
If the value of t is 6, hence;
f(6) = 0.25(6)^2 − 0.5(6) + 3.5
f(6) = 9 - 3 + 3.5
f(6) = 6.5
Hence the resulting value of the function when the values of t is 2 and 6 are 3.5 and 6.5 respectively
Learn more on functions and values here: https://brainly.com/question/2284360
#SPJ1
which geometric series converges?
a. 1/6+1/6+1/6+1/6
b. 1/6+2/6+4/6+8/6
c. 6+12+24+48
d. 6+2+6/9+6/27
Answer:
D
Step-by-step explanation:
Ed2021
The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Which geometric series converges is determined from the options below
a. 1/6+1/6+1/6+1/6 b. 1/6+2/6+4/6+8/6 c. 6+12+24+48 d. 6+2+6/9+6/27.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.
Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
#SPJ2
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
Learn more about functions at: https://brainly.com/question/11624077
#SPJ1
A truck with 42-in.-diameter wheels is traveling at 55 mi/h.
Find the angular speed of the wheels in rad/min, *hint convert miles to inches & hours to minutes:
rad/min
How many revolutions per minute do the wheels make?
After answering the provided question, we can conclude that rotations equation per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Secondly, we must convert the speed from miles per hour to inches per minute since we want our final result in radians per minute.
1 mile equals 63360 inches (by definition)
1 hour equals 60 minutes
Therefore:
55 miles per hour = 55 * 63360 inches per hour / (1 mile per hour) = 3,484,800 inches per minute
We can now calculate the linear speed of a point on the wheel's rim:
Wheel circumference = pi * diameter = pi * 42 in. = 131.95 in.
3.484,800 in/min linear speed
angular speed = linear speed / (diameter/2) = (3,484,800 in/minute) / (42 in./2) = 1656.19 rad/min (rounded to two decimal places)
To get the number of revolutions per minute, divide the angular speed by 2*pi:
rotations per minute = angular speed divided by (2pi) = 1656.19 rad/min divided by (2pi) = 263.02 revolutions/min
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Susie makes $10.25 an hour and time and a half for hours over 40 per week.
She worked 40 regular hours and 5 overtime hours last week.
What was her total pay?
Answer:
If Susie makes $10.25 an hour, and makes time and a half for overtime, she would make $410 from regular time. If she works 5 hours of overtime, she would make $76.90.
$410+$76.90=$486.90
In total, she would make $486.90.
From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?
The distance between the two ship based on the angle of depression is 42 meters.
The distance of each ship can be calculated thus:
TanX = opposite / Adjacent
The first ship:
Tan53 = distance/ 82
distance= 108.82 meters
The second ship:
Tan39 = distance/ 82
distance= 66.40 meters
The Difference between the ships are :
108.82 - 66.40 = 42.42 metersTherefore, the distance between the two ships is 42 meters.
Learn more on angles of depression:https://brainly.com/question/17193804
#SPJ1
Its factorial math pleaseHelp.
\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)
Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answer:
x > -5, so the correct answer is C.
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
For more such questions on combinations
https://brainly.com/question/28065038
#SPJ8