Answer: The ratio of the breadth to the height of the hall is 7:8
Step-by-step explanation:
The ratio of the length to the height of the hall is 7:6, which means that if the length of the hall is represented by 7, the height is represented by 6. We can write this as a proportion as follows:
7/6 = L/H
We know that the length of the hall is 28 meters, so we can substitute this value for L in the proportion to find the height:
7/6 = 28/H
Solving for H, we get:
7/6 = 28/H
7H = 168
H = 168/7 = 24
The height of the hall is 24 meters.
The ratio of the breadth of the hall to its height is the same as the ratio of 21 to 24, which simplifies to 7:8. Therefore, the ratio of the breadth to the height of the hall is 7:8.
What is the slope of the line that passes through 1/4 and 1 − 3 )?
The Slope of the line that passes through the points (1, 4) and (1, -3) is Undefined.
If we are provided with two points (x₁, y₁) and (x₂, y₂) then the formula of finding the slope between these points is expressed as
m = (y₂ - y₁)/(x₂ - x₁)
where m is the slope between the points, y₂ - y₁ is difference between the y coordinates and x₂ - x₁ is the difference between the x coordinates.
Now the points are (1, 4) and (1, -3), so the difference between the coordinates is expressed as
y₂ - y₁ = -3 - 4
y₂ - y₁ = -7
x₂ - x₁ = 1 -1
x₂ - x₁ = 0
Now the slope will be
m = -7/0
Since, we have zero in the denominator and any number divided by zero is undefined so the slope is undefined.
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Complete Question:
What is the slope of the line that passes through (1, 4) and (1, -3)?
the grades in an exam were normally distributed with a mean of 80 and standard deviation of 4 . what is the probability that a randomly selected student scored between 70 and 84 ? ( round to 4 decimal places)
The probability that a randomly selected student scored between 70 and 84 is 0.8351
Probability
Probability is simply how likely something is to happen.
Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
given that:
mean = 80
standard deviation = 4
now we need to find the probability of students scored between 70 and 84
P(70<X<84) = P(X<84) - P(X>70)
= P(Z<(84-80)/4)-P(Z>(70-80)/4)
=P(Z<1) - P(Z>-2.5)
= 0.8413-0.0062
= 0.8351
the probability that a randomly selected student scored between 70 and 84 is 0.8351
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select all equations that are true with x=6
Answer:
A, C, and E
Step-by-step explanation:
What is the range of linear function?
A linear function can only have one degree at most but the range of linear function is infinite.
In the given question, we have to explain what is the range of linear function.
A linear function can only have one degree at most. Therefore, it has at least most one x increased by one. The formula for them is f(x) = mx + b.
Nearly invariably, the domains and ranges of linear functions are infinite. When the graph is a horizontal line, there is an exception. This occurs when a function, like f(x) = b, equals a constant. These functions' domains are unlimited, but their range only contains the value b.
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A pyramid has a base with an area of 25 in² and a
volume of 100 in³. Find the height of the pyramid.
Answer:
12in
Step-by-step explanation:
Area and Volume (Proportion)Base Area and Volume are proportionalised based on their Height.
Eg. Base Area of Cube = Length × Width
Volume of Cube = Length × Width × Height
SolutionGiven from the Question:
Base Area of Pyramid =
[tex]25 \: {in}^{2} [/tex]
Volume of Pyramid =
[tex] \frac{1}{3} (base \: area)(height) = 100 {in}^{2} [/tex]
We already knew the Base Area, so we can substitute it into the Volume of Pyramid Formula to find the height.
[tex] \frac{1}{3} (25)(height) = 100 \\ height = \frac{100(3)}{25} \\ = 12in[/tex]
Therefore the height of the Pyramid is 12in.
12.Todd's teacher asked him to construct a graph with the following specifications.
By studying the graph, it can be concluded that
Todd has done three mistakes
He has y increasing when x is between -5 and 0 instead of decreasing.
He has y decreasing when x is between 0 and 5 instead of increasing.
He has a non-linear relationship from x = 0 to 5 instead of a linear relationship.
What is graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function f(x) is the collection of points of the form (x, f(x))
Original specifications of the graph
y is decreasing when x is between -5 and 0
y is increasing when x is between 0 and 5
The relationship between x and y is non-linear from x = - 5 to x = 0
The relationship between x and y is linear from x = 0 to x = 5
From the graph it can be seen that Todd has done three mistakes
He has y increasing when x is between -5 and 0 instead of decreasing.
He has y decreasing when x is between 0 and 5 instead of increasing.
He has a non-linear relationship from x = 0 to 5 instead of a linear relationship.
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true or false: leagues with larger standard deviation values are more competitively balanced than other leagues
It is ''True'' that leagues with larger standard deviation values are more competitively balanced than other leagues.
What is Standard deviation?The standard deviation is a measure of how widely distributed or how much values vary. The expected value occurs when the standard deviation is low, which increases the likelihood that the values will fall within a small range. When the standard deviation is high, on the other hand, the expected value occurs when the values are closer to the mean.
Lets take an example to understand Standard deviation
Let's say the entire target population is comprised of eight students in a specific class. By subtracting the average of the values' squared deviations from it, one can calculate the population standard deviation for a finite set of numbers.
Eight of the following values represent the marks of an eight-student class (or a statistical population):
2,4,4,5,5,5,7,8
These eight data points have the mean (average) of 6;
[tex]\frac{2+4+4+5+5+5+7+8}{8}[/tex] = [tex]\frac{40}{8}[/tex]
= 5
First, calculate the deviations of each data point from the mean, and square the result of each:
[tex](2-5)^{2} =[/tex] [tex](-3)^{2}[/tex] = 9 [tex](5-5)^{2} =[/tex] [tex]0^{2}[/tex] = 0
[tex](4-5)^{2} =[/tex] [tex](-1)^{2}[/tex] = 1 [tex](5-5)^{2} =[/tex] [tex]0^{2}[/tex] = 0
[tex](4-5)^{2} =[/tex] [tex](-1)^{2}[/tex] = 1 [tex](7-5)^{2} =[/tex] [tex]2^{2}[/tex] = 4
[tex](5-5)^{2} =[/tex] [tex]0^{2}[/tex] = 0 [tex](8-5)^{2} =[/tex] [tex]3^{2}[/tex] = 9.
The variance is the mean of these values:
[tex](sigma)^{2}[/tex] = [tex]\frac{9+1+1+0+0+0+4+9}{8}[/tex] = [tex]\frac{24}{8}[/tex] = 3
and the population standard deviation is equal to the square root of the variance:
sigma = √3 = 1.732
This formula is valid only if the eight values with which we began form the complete population.
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4.Which of the following numbers are rational? Select three that apply.
Responses
The Rational number are 7/3, 8 and 72/8.
What is Rational Number?
Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.
So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that the numerator or denominator doesn't have commonly divisible.
√5 is not rational.
7/3 is rational
√17 is not rational
√64 = 8 is rational
72/8 is rational
Hence, The Rational number are 7/3, 8 and 72/8.
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Select all expressions are equivalent to - 1/2 ( 8 - 2+ 6/7x)
Answer:
- 1/2 × 8 = -4
-1/2 × -2 = 1
- 1/2 × 6/7 = - 3/7
-4 + 1 - 3/7x
-3-3/7x
In geometry, we have rules, definitions, postulates, theorem, etc. that help with problem-solving, deductive reasoning, spatial, reasoning, and relationships of shapes and solids just to name a few. Please explain in a minimum of five sentences has a Bible provides a similar guide to living a Christian life.
Answer:
Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.
In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.
Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.
Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.
Step-by-step explanation:
Answer:
yes...........s..s.s..s..s..,...
An artist makes a profit of (500p-p au carre) dollars from selling p paintings. what is the fewest number of paintings the artist can sell to make a profit of at least $60.000?
The artist should sell at least 200 paintings for the profit of $60,000.
What is profit?Profit is the money you have left after paying for business expenses.
Given that, An artist makes a profit of (500p-p²) dollars from selling p paintings.
Establishing the equation, we have,
500p-p² = 60,000
p²-500p+60,000 = 0
Factorizing to find p,
p²-200p-300p+60,000 = 0
p(p-200)-300(p-200) = 0
(p-200)(p-300) = 0
p = 200 or p = 300
Since, the question is asking for least number of paintings so, we'll consider 200 paintings.
Hence, The artist should sell at least 200 paintings for the profit of $60,000.
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What is an example of conceptual learning?
Conceptual Learning involves students engaged in quality learning experiences based around key concepts and central ideas rather than using the more traditional method of focusing on learning on topics.
Example of Conceptual Learning
A student with a conceptual understanding of decimals may readily work with fractions, percentages, and ratios. Students who just have traditional knowledge, on the other hand, may struggle to cope because they will have to recollect the information as different concepts.
Conceptual learning encourages active participation since it requires students to participate actively in the process, whereas traditional types of learning require the teacher to explain information
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solve the system below using elimination method
-4x2y= -12
4x+8y=-24
Answer/Step-by-step explanation:
The first equation is confusing so I'll solve both ways:
Addition
1. -4x + 2y = -12
4x + 8y = -24
-----------------------------
10y = -36
÷10 ÷10
--------------------
y = -3.6
4x + 8y = -24
4x + 8(-3.6) = -24
4x - 28.8 = -24
+28.8 +28.8
-----------------------------
4x = 4.8
÷4 ÷4
---------------------
x = 1.2
If the first equation is subtraction this is the solution:
2. -4x - 2y = -12
4x + 8y = -24
------------------------
6y = -36
÷6 ÷6
-------------------
y = -6
4x + 8y = -24
4x + 8(-6) = -24
4x - 48 = -24
+48 +48
---------------------
4x = 24
÷4 ÷4
-----------------
x = 6
(6, -6)
I hope this helps!
the mean number of calls received in a certain office per day is 10 . what is the probability that in any given day the office receives exactly 3 calls ?
The probability that on any given day the office receives exactly 3 calls is 0.0076.
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here, we let
Let X be the number of calls received in an office per day.
X≈Poison(λ=10)
P(X = x) = e^(-λ)λˣ/x!; x = 0, 1, 2.....
= 0, otherwise
The probability that on any given day the office receives exactly 3 calls: 0.0076
P(X = 3) = e^(-10)10³/3!
P(X=3) = 0.0076
Hence, the probability that on any given day the office receives exactly 3 calls is 0.0076.
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? A, B, C, D? PLEASE HELP 10 POINTS. I HAVE 10 MINUTES
Answer:
A
Step-by-step explanation:
6x/4=12 what does x=?
Answer:
x = 8
Step-by-step explanation:
6x/4 = 12
Multiply 4 on both sides to get rid of it:
6x = 4(12) = 48
Divide 6 on both sides:
x = 48/6 = 8
What is the value of t that satisfies the equation below? 3(t+4)-2(2t+3)=4
Explain how you got your answer
Answer:
t = 2
Step-by-step explanation:
First, we have to simplify the equation by multiplying 3 and -2 by everything in the corresponding parenthesis:
3(t+4) simplifies = 3t + 12
-2(2t+3) simplifies = -4t - 6
So:
3t + 12 - 4t - 6 = 4
Now we can combine like terms:
-t +6 = 4
Then we subtract 6 on both sides:
-t = -2
Then we divide by -1 in order to get rid of the negative:
t = 2, final answer.
Which statements are true about the functions y sin (c), y D sin (c) and y sin(2), y sin (z), y = sin (c), y = sin (2) and y = The graphs of y The domains of y = The amplitudes of y The periodela v Both y sin (2) and y on that interval. decreasing cos (x), and y tan (z)? cos (z) do not have midlines. cos (2), and y = tan (2) are all real numbers. cos(x), and y tan (z) are 1. cos (2) are 27, and the period of y – tan (I) is T. cos (x) is tan (x) are increasing on the interval (0,), and y
The true statements regarding the trigonometric functions are given as follows:
The periods of y = sin(x) and y = cos(x) are of 2π, while the period of y = tan(x) is of π.Both y = sin(x) and y = tan(x) are increasing on the interval (0, π/2), while y = cos(x) is decreasing on the same interval.What are the correct statements?The three trigonometric functions are defined as follows:
y = sin(x).y = cos(x).y = tan(x).The statements are described as follows:
Statement 1 is false, as tan(x) = sin(x)/cos(x), hence the tangent function is not defined when cos(x) = 0 at x = kπ/2, k = ± 1, ±3, ..., and it's domain is not all real values.Statement 2 is false, as the tangent function does not have an amplitude, as close to the vertical asymptotes it assumes values close to infinity.Statement 3 is false, as the sine function and the cosine function have a midline.The remaining statements are true.
Missing InformationThe statements are given by the image shown at the end of the answer.
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Nancy just became a personal trainer and is finalizing her pricing plans. One plan is to charge $41 for the initial consultation and then $83 per session. Another plan is to charge $43 for the consultation and $82 pse session. Nancy realizes that the two plans have the same same cost for a certain number of sessions. How many sessions is that? What is the cost?
The required number of sessions is obtained as 2.
How to balance a linear equation?A linear equation can be balanced by adding or subtracting the same number on both sides of the equality sign. Similarly, multiplication and division is also possible with the same numbers.
Suppose the number of sessions be x.
Then, the expression for the training cost as per the first plan is given as 41 + 83x.
And, for the another plan it is 43x + 82.
As per the question both the expressions has to be equated for the same cost as follows,
43 + 82x = 41 + 83x
=> 43 - 41 = 83x - 82x
=> x = 2
Hence, the number of sessions for both the plans to have same cost is 2.
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if you get this right i will cash-app 5$.
Answer: A
Step-by-step explanation:
I graphed it using my graphing calculator. the maximum point is -2, 9. f(x) means y so graphing just requires you to type the equation into a calculator and replace the f(x) with y. sorry if that doesnt make sense. no money
ia began filling the bathtub at a constant rate.
She then turned off the water for a while and some of the water drained out of the bathtub.
Tia turned the water back on at the same rate as before until the bathtub was full.
Which graph best represents Tia filling the bathtub?
The graph that represents the given situation is graph (A). (Refer to the graph attached below)
What is a graph?The set of ordered pairs is the graph of a function f in mathematics, where these pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical case when x and f(x) are real numbers.
To create a graph is to make a diagram that shows the relationship between two or more things.
So, we know that:
The bathtub is filling at a constant rate.
When the tap was closed, the water drained out.
Then again, the tap was open for the water to come out at a constant rate.
So, the correct graph that resembles these lines is a graph (A).
Therefore, the graph that represents the given situation is a graph (A). (Refer to the graph attached below)
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Alex has $170.42 in his account before making any transactions. Over the course of a week, Alex makes the following transactions:
At the end of the week, how much money is in Alex’s account?
$50.73
$114.13
$119.69
$226.71
Answer:
To find out how much money is in Alex's account at the end of the week, we need to add up all of the transactions that he made over the course of the week.
We start by adding the initial amount that Alex had in his account before making any transactions, which is $170.42.
Then we add the first transaction, which is $50.73. This brings the total to $221.15.
Next, we add the second transaction, which is $114.13. This brings the total to $335.28.
Then we add the third transaction, which is $119.69. This brings the total to $455.97.
Finally, we add the fourth and last transaction, which is $226.71. This brings the total to $682.68.
Therefore, at the end of the week, Alex has $682.68 in his account.
Step-by-step explanation:
How Do I Simplify: 5/3+i
Express the radical using the imaginary unit,i .
Express your answer in simplified form.
√-30 = ±
Answer:
[tex] + - \sqrt{ - 30}[/tex]
Answer:
[tex]\sqrt{30i}[/tex]
Step-by-step explanation:
khan <3
if a round analog clock featuring numbers 1-12 is hung on the wall upside down, the minute hand will point to the right of the viewer when the clock reads two forty-five.
The given statement is true, the minute hand will point to the right of the viewer when the upside down hung clock reads 2:45.
Here, we are given that a round analog clock featuring numbers 1-12 is hung on the wall upside down.
In order to solve this question, we need to visualize the situation very carefully.
When we hang the clock upside down, the numbers will switch their positions among their opposite pair.
For example, number 12 will be at the place of number 6 and vice versa.
Similarly, number 9 will be at the place of number 3.
When the clock strikes 2:45, the minute hand is pointing towards number 9.
However, since the clock is hung upside down, number 9 is at the place of number 3.
Number 3 is on the right side of the viewer who is standing in front of the clock.
Thus, the given statement is true, the minute hand will point to the right of the viewer when the upside down hung clock reads 2:45.
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0.0
1. Mei is shopping for the items shown in the
table. Write an expression to represent the
total cost of 6 bubbles, 2 beach balls, and
3 sand buckets. Then find the total cost.
(Example 3)
Item bubbles beach ball sand buckets
Cost $1.49
$2.00
$3.50
Bubble cost = $1.49
Beach ball cost = $2.00
Sand bucket cost = $3.50
Bubble = B
Beach Ball = A
Sand bucket = S
total cost = 6B + 2A + 3S
total cost = 6(1.49) + 2(2) + 3(3.5) = 23.44
Hope this helps :)
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- Jeron
I need help please! It’s hard for me lol
Answer:
Step-by-step explanation:
I'm sorry if I'm wrong I think its 0.62 or 30.
How do you solve one two and three step equations?
To solve a one-step equation, you need to do the opposite operation on both sides of the equation to isolate the variable .To solve a two-step equation, you need to do two operations on both sides of the equation to isolate the variable
1. One-Step Equation: To solve a one-step equation, you need to do the opposite operation on both sides of the equation to isolate the variable. For example:
2x + 5 = 11
To solve, subtract 5 from both sides:
2x = 6
Divide both sides by 2:
x = 3
2. Two-Step Equation: To solve a two-step equation, you need to do two operations on both sides of the equation to isolate the variable. For example:
2x + 5 = 11
2x = 6
Next, divide both sides by 2:
x = 3
3. Three-Step Equation: To solve a three-step equation, you need to do three operations on both sides of the equation to isolate the variable. For example:
2x + 5 = 11
2x = 6
Next, divide both sides by 2:
x = 3
Finally, multiply both sides by 3:
3x = 9
Therefore, the solution is x = 3.
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Consider =) as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point 3.4.3) given that (48) = 4 and 14:32
The tangent planes to the surface are described by the equation "6x + 12y + 48z - 210 = 0" (3, 4, 3).
In this instance, the equation yields the parametrized surface "r(t) = (t², [tex]t^3[/tex], [tex]t^4[/tex]). On the surface, the issue that interests us is (3, 4, 3).
We may use the partial derivative concept to obtain the second derivative of the surface at points (3, 4, 3). Regardless of whether a change in the parameterization approaches zero, the time derivative of the parameter value of a variable serves as the upper estimate of the differentiating quotient.
[(r(3 + h) - r(3)) / h] as h approaches 0
For the x-coordinate of the surface, this limit is given by
[((3 + h)² - 3²) / h] as h approaches 0
which simplifies to
[(9 + 6h + h² - 9) / h] as h approaches 0
which simplifies to
[6h + h²] as h approaches 0
Since h is approaching 0, h2 is approaching it faster than h. As h approaches 0, the limit changes from 0 to 6, and the number of h2 decreases relative to the value of 6h.
Thus, the partial derivative of the x-coordinate of the surface concerning the time at the coordinates (3, 4, 3) is 6.
As a result, the vector is the normal vector to the ground at the location (3, 4, 3). (6, 12, 48). 6x + 12y + 48z + d = 0 is the equation of the tangent planes to the ground at this position.
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The mean of the quantitative variable of interest in the population is called the?
The mean of the quantitative variable of interest in the population is called the mean.
What is meant by population?For the purposes of data collection and analysis in statistics and other fields of mathematics, a population is a distinct group of people, animals, or things that can be recognized from one another. In order to learn more about a large population, data is often gathered from a sample.
As an example, inquire about the primary occupation of 100 people chosen at random during a football game. All 100 members of your sample make up the population at that match. The population will always equal the larger of the sample size and the total population. The population is used to refer to the overall population being studied. The illustration's population is representative of the student body at the high school under examination.
Therefore, the mean of the quantitative variable of interest in the population is called the mean.
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