\(\Large{\boxed{\tt{600 \: Students}}}\)
Question:There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?To find:No. of studentsGiven:Total no. of classrooms = 20 students in each class= 30Answer:Total no. of students in school= Total no. of classrooms×students in each classTotal no. of students in school=20×30Total no. of students in school=600best of luck! ^_^
1/5 divied by 2 as a fraction
The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.
What is 1/5 divied by 2 ?Given the expression in the question;
1/5 divied by 2
1/5 ÷ 2
To simplify, multiply 1/2 by the reciprocal of 2
1/5 ÷ 2
1/5 × 1/2
Simplify
( 1 × 1 ) / ( 5 × 2 )
( 1 ) / ( 5 × 2 )
Multiply 5 and 2
( 1 ) / ( 10 )
1/10
Therefore, the simplified form is 1/10.
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Can somebody please help and try to answer this word problem and showing your work while doing it, thank you!!!
WILL MARK BRAINLIEST FOR ANYONE WHO CAN ANSWER THIS QUICKLY AND CORRECTLY!! :DDD
Answer:
16 yards gained
Step-by-step explanation:
I would add the yards that were gained first so 14 + 9
so we have 23 yards gained so far then subtract the yards loss so 23 - 7 is 16, so 16 yards were gained.
which of the following is the angle bisector theorem?
Answer:
The answer is B!
Step-by-step explanation:
Answer: b
Step-by-step explanation:
Doing this for the other person to get the crown because they also help me :3
The marketing club school is openings student store. They randomly survey 50 students who how much money they spend
onunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars spent on
Students
Lunch Eschwy
510
SSS
05.18
5.07
See
signou
us
247
The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.
The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.
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during winter, the average temperature inside your room is 70 degrees with standard deviation of 2 degrees. what is an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees?
For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.
For a sample of temperature during winter, Average temperature of room
= 70 degree
Standard deviations = 2 degrees
We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).
here , σ = 2 , μ = 70, kσ = 4
=> k = 2
So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)
≤ \(\frac{ 1 }{2²} \)
≤ \(\frac{ 1 }{4} \)
= 0.25
Hence, required upper bound value is 0.25.
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What is the average rate of change of the height of water in the vase with respect to the volume of water in the vase as the volume changes from 2.5 cups to 4.25 cups
The average rate of change of the height of water in the vase with respect to the volume of water is 1.62.
How to determine the rate of changeTo determine the rate of change, we can begin by first expressing the rate of change in height which is:
4.335 - 1.5 = 2.835
Rate of change in volume
4.25 cups - 2.5 = 1.75
So, the rate of change of the height with respect to volume
= 2.835/1.75
= 1.62
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Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001 rx) = sin(x), approximate f(0.7)
Answer:
herefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.
Step-by-step explanation:
We can use Taylor's theorem with the remainder in Lagrange form to estimate the error in approximating sin(x) with its Maclaurin polynomial:|Rn(x)| ≤ M * |x - a|^(n+1) / (n+1)!where:
Rn(x) is the remainder (the difference between the exact value of the function and its approximation using the Maclaurin polynomial)
M is an upper bound on the (n+1)st derivative of the function on the interval [0, x]
a is the center of the Maclaurin series (in this case, a = 0)
n is the degree of the Maclaurin polynomialSince sin(x) is continuous and differentiable for all x, we know that the Maclaurin series for sin(x) converges to sin(x) for all x. Therefore, we can use the Maclaurin series for sin(x) to approximate sin(0.7):sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ...sin(0.7) ≈ 0.7 - 0.7^3/3! + 0.7^5/5!sin(0.7) ≈ 0.6442 (rounded to four decimal places)To find the degree of the Maclaurin polynomial required for the error in this approximation to be less than 0.001, we need to solve the following inequality for n:0.7^(n+1) / (n+1)! ≤ 0.001We can use a calculator or a table of values for factorials to solve this inequality. One possible method is to try different values of n until we find the smallest value that satisfies the inequality.Starting with n = 2, we get:0.7^3 / 3! ≈ 0.082This is not less than 0.001, so we try n = 3:0.7^4 / 4! ≈ 0.005This is less than 0.001, so we have found the degree of the Maclaurin polynomial required for the error to be less than 0.001:n = 3Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(x) at x = 0.7 to be less than 0.001 is 3. Using the Maclaurin series up to degree 3, we get:sin(0.7) ≈ 0.7 - 0.7^3/3!sin(0.7) ≈ 0.6433This approximation is accurate to within 0.001.
We need at least a degree 4 Maclaurin polynomial to approximate sin(x) at x = 0.7 with an error less than 0.001.
To determine the degree of the Maclaurin polynomial required for the error in the approximation of the function sin(x) at x = 0.7 to be less than 0.001, we need to consider the following:
1. The Maclaurin series for sin(x) is given by:
sin(x) = x - (x^3)/3! + (x^5)/5! - (x^7)/7! + ...
2. The error in a Maclaurin series approximation can be estimated using the remainder term formula:
|error| ≤ |(x^n+1)/(n+1)!|
3. Plug in the desired error and x value (0.001 and 0.7, respectively) to find the smallest n such that the error is less than 0.001:
|0.001| ≤ |(0.7^n+1)/(n+1)!|
4. Iterate through different values of n (starting with n = 0) until the inequality is satisfied. Remember that n must be an even number as sin(x) is an odd function.
After iterating through different values of n, you will find that the smallest even n that satisfies the inequality is 4. Therefore, the degree of the Maclaurin polynomial required for the error in the approximation of sin(0.7) to be less than 0.001 is 4.
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Han has Spent 75 minutes practicing the piano over the weekend priya practice the violin for 152% as much time as hand practicing piano how long does she practice
Answer: 114 minutes
Step-by-step explanation:
From the question, we are informed that Han has Spent 75 minutes practicing the piano over the weekend while Priya practice the violin for 152% as much time as Han used in practicing the piano.
Therefore, the number of minutes used in practicing by Priya would be gotten by multiplying 152% by 75 minutes. This would be:
= 152% × 75 minutes.
= 152/100 × 75minutes
= 1.52 × 75 minutes
= 114 minutes
the fox population in rocky mountain national forest is decreasing at a rate of 2% each year. there are currently 76,000 foxes in the forest. write a function that models the number of foxes in the rocky mountain national forest after x years.
The function that models the number of foxes in Rocky Mountain National Forest after x years is N(x) = \(76,000 \times (0.98)^x\)
To model the number of foxes in Rocky Mountain National Forest after x years, we can use exponential decay since the fox population is decreasing at a rate of 2% each year.
Let N(x) represent the number of foxes after x years.
We can write the function as:
N(x) = \(N_0 \times (1 - r)^x\)
Where:
N₀ is the initial number of foxes (76,000 in this case),
r is the decay rate (2% or 0.02), and
x is the number of years.
Plugging in the values, we get:
N(x) = \(76,000 \times (1 - 0.02)^x\)
Simplifying further, we have:
N(x) = \(76,000 \times (0.98)^x\)
This function models the number of foxes in Rocky Mountain National Forest after x years.
By substituting different values of x, we can calculate the estimated number of foxes in the forest for any given year.
It's important to note that this model assumes a continuous exponential decay and does not account for other factors that may affect the fox population.
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Can someone help me answer question well thought out please, because I posted this before and was incorrectly hopefully this time is much better.
1.) For those who are experiencing this listening as their first exposure to the Art Song genre:
what is your aesthetic response to this piece?
What aspects of the music make you feel the way you do about the song? Be as specific as possible (possible factors to talk about: instrumentation of one voice + piano; style of singing; language of text; word painting; emotional range; musical storytelling; etc).
These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.
Here, we have,
Instrumentation: The combination of one voice and piano in an Art Song creates an intimate and nuanced sonic palette. The piano provides harmonic support and textures while allowing the voice to take the lead. The delicate interplay between the voice and piano can evoke a sense of intimacy and draw the listener into the music.
Style of Singing: Art Songs are often characterized by a lyrical and expressive style of singing. The singer's ability to convey emotions, communicate the meaning of the text, and deliver a captivating performance can leave a lasting impression. The nuances in phrasing, dynamics, and vocal technique contribute to the overall aesthetic response.
Language of Text: The language used in an Art Song can evoke different aesthetic responses depending on the listener's familiarity with the language and cultural background. The choice of language may enhance the poetic quality of the lyrics, evoke specific imagery or cultural associations, and deepen the emotional connection to the music.
Word Painting: Art Song composers frequently use word painting techniques to musically illustrate or depict specific words or phrases in the text. These musical gestures can include melodic contour, rhythmic patterns, dynamic contrasts, and harmonic choices. Word painting enhances the listener's understanding and emotional engagement by creating vivid musical images and reinforcing the meaning of the text.
Emotional Range: Art Songs often explore a wide range of emotions, from melancholy and introspection to joy and passion. The music's ability to evoke and express these emotions can elicit a profound aesthetic response in listeners. The shifts in mood, dynamics, and melodic lines can create an emotional journey that resonates with the listener's own experiences and feelings.
Musical Storytelling: Art Songs can tell stories or convey narratives through the integration of music and text. The composer's use of melodies, harmonies, and rhythmic patterns can depict characters, events, and landscapes, enabling the listener to engage with the story being told. The unfolding narrative and the music's ability to convey the story's essence can captivate and emotionally move the listener.
These aspects, among others, contribute to the overall aesthetic response to an Art Song. However, it's important to note that individual preferences and cultural backgrounds can greatly influence how a listener perceives and responds to the music. Each person's aesthetic response may be unique, and an Art Song can evoke a range of emotions and interpretations based on personal experiences and sensibilities.
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At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets. What is the domain of the relationship
Answer:
0 ≤ x ≤ 18
Step-by-step explanation:
Let 'x' be the number of youth tickets purchased at the zoo and 'y' be the number of adult tickets purchased at the zoo.
At a zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. We can write as
5x + 9y = 90
to find x we divide both side by 5
x = (90-9y)/5 => 90/5 - 9y/5
x = 18 - 9y/5
The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is
0 ≤ x ≤ 18
At x = 0, it means only adult tickets were purchased.
At x = 18, it means only youth tickets were purchased.
Answer:
0 ≤ x ≤ 18
Step-by-step explanation:
got it correct on pluto
PLLLLLLLSSSSSSS HELP MEEE!!!!! I AM STUCK ON THIS AND I NEED HELP I NEED ANSWER AND WORK IF U GET IT RIGHT I WILL GIVE BRAINLIEST. If the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?
Answer:
2(3x2 + 6x - 10) + 2(3x + 5)
Step-by-step explanation:
Answer:
Lol. Give brainliest to the other guy.
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Which statement is true about a line that contains the point ሺ2, 7ሻ and has a slope of 0.5?
A The line will also contain the point ሺ4, 6ሻ.
B The line will have a y-intercept of 6.
C The line will contain points whose y-coordinate will decrease in value as you move to the right
D none of the above
Answer:
I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right
Step-by-step explanation:
HOPE THIS HELPS
What does E =mc2 equal
Answer:
E=mc2 ................
E=mc2 is Energy equals mass times the speed of light squared.
Mind-BLOWN lol
(Please help me quickly!)
Either Table F or Table G shows a proportional relationship. Plot the points from the table that shows a proportional relationship.
The table F shows a proportional relationship.
A proportional relationship, also known as direct variation, exists when two variables are related in such a way that their ratio remains constant.
As one variable increases or decreases, the other variable changes by a consistent factor.
In the given tables, the table F represents a proportional relationship.
x/y=1/2=2/4=4/8=5/10
The ratio is constant x/y=1/2.
Hence, the table F shows a proportional relationship.
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Type the correct answer in the box. Use numbers instead of words.
Use the place-value chart to help answer the question.
Thousands
Hundred
Ten
Thousands Thousands
2
8
Thousands Hundreds
,000
8
6
Reset
Ones
Tens
Next
9
The value of the digit in the ten thousands place is how many times the value of the digit in the thousands place?
Ones
1
the answer to the question is that the value of the digit in the ten thousands place is 2 times the value of the digit in the thousands place.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
To answer the question, we need to look at the digit in the ten thousands place and the digit in the thousands place. The digit in the ten thousands place is 2, and the digit in the thousands place is 8.
The place value of the ten thousand place is ten thousand times greater than the place value of the thousand place. Therefore, we can say that the digit in the ten thousand place has a value of 2 x 10,000 = 20,000, and the digit in the thousands place has a value of 8 x 1,000 = 8,000.
Now, we can compare the value of the digit in the ten thousand place with the value of the digit in the thousands place. We see that the value of the digit in the ten thousands place, which is 20,000, is exactly 2 times the value of the digit in the thousands place, which is 8,000.
So, the answer to the question is that the value of the digit in the ten thousands place is 2 times the value of the digit in the thousands place.
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1. Simplify the expression.
(-4x + 15) + (2x – 4)
Answer:
-2x+11
Step-by-step explanation:
:)))
Answer:
-2x+11
Step-by-step explanation:
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire
attached? Write your answer in simplest form
The wire is attached to the pole at 18 root3 ft high.
We have given that,
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground.
This is a right triangle formed of which hypotenuse is
h=36ft.
Angle is θ=60degree
Let P be the height of pole.
What is the value of the sin ratio?
\(\frac{Opposite\ side}{hypotenous}\)
then, sin60=P/H or root3/2=P/36
P=36√3/2
or
P=18√3ft.
The wire attached to the pole at P=18√3ft.
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Plz help!!! Will give brainliest!!!
Answer:
94+41=135.
180-135=45.
45+111=156
180-156=24
x=24.
A scale model of a house is 110 the size of the actual house. One of the bedrooms in the house is 16 feet long. Which expression will help you find the length of the same bedroom in the model?
Answer:
model measurement = actual measurement / 110
Step-by-step explanation:
(I believe you have a typo in your answer where the scale is 1:110. Hard to believe one would make a model house 110 times the size of a physical house, haha!)
a hot airballoon rises 120 feet every 3 seconds. which equation represents the relationship bettween time and height
y = 30x
y = 40x
y = 120x
y = 3x + 120
Answer:
y = 40x
Step-by-step explanation:
suppose at a certain college we know 80% of the students like chipotle and 65% of the students like papa john's pizza. moreover, of the students that like chipotle we know 69% like papa john's pizza. suppose we randomly select a student. what is the probability that a student likes papa john's, given they do not like chipotle?
Therefore, the probability that a student likes papa john's given they do not like chipotle is approximately 0.275 or 27.5%.
Bayes' theorem allows us to calculate conditional probabilities, which is the probability of an event occurring given that another event has already occurred. In this case, we want to find the probability that a student likes Papa John's pizza given that they do not like Chipotle.
We start by using the given probabilities to calculate the probability that a student does not like Chipotle, which is the complement of the probability that they do like Chipotle. Then, we calculate the probability that a student likes both Papa John's and Chipotle, and use this to find the probability that a student likes Papa John's given that they do not like Chipotle.
Bayes' theorem is a powerful tool that is used in a wide range of fields, including statistics, probability theory, and machine learning. It provides a systematic way to update probabilities based on new information or evidence, which is a crucial aspect of many real-world applications.
P(B) = 1 - 0.8 = 0.2 (the probability that a student does not like chipotle)
P(A|B) = P(A and B) / P(B) = (0.65 - 0.69*0.8) / 0.2 ≈ 0.275
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A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the donuts is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts. The correct value of t* to construct a 99% confidence interval for the true mean amount of cream filling is ________. Group of answer choices 2.797 1.318 1.711 2.060 2.787
Answer:
The correct value is t* = 2.797.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a two-tailed confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.797.
if [0 0 0 1 0] is one row in an echelon form of an augmented matrix, then the associated linear system is always consistent. true or false?
The statement is true. If the row [0 0 0 1 0] is in echelon form of an augmented matrix, then the associated linear system is always consistent. This means there is at least one solution to the system of linear equations.
Echelon form is a type of row-echelon form that has specific properties. In echelon form, the leading coefficient (non-zero element) of each row is strictly to the right of the leading coefficient of the row above it. In the given row [0 0 0 1 0], the leading coefficient is 1, and it is the only non-zero element in the row.
In an augmented matrix, the rightmost column represents the constants or the right-hand side of the linear equations. Since the leading coefficient in the given row is 1 and there are no non-zero elements to the left of it, this implies that the associated linear equation is of the form 0x + 0y + 0z + w = 0. This equation simplifies to w = 0.
Since w is a free variable and its value can be chosen as 0, the linear system is consistent. Every consistent system has at least one solution, and in this case, the solution is when w = 0, while x, y, and z can take any values.
Therefore, if [0 0 0 1 0] is one row in an echelon form of an augmented matrix, the associated linear system is always consistent.
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14. f(x)=2x+1
If f(x)=4 what is the value of x ?
15 . Give the domain and range . Tell if it’s a function
Answer:
c
Step-by-step explanation:
David express company was asked to deliver 325 boxes of apples. according the rule, the delivery fee is
$25 for each box. if one box lost, the company could not get the delivery fee for the lost box, but should
compensate $75 for the loss. after the delivery, david express company got total $5925, how many boxes
lost?
Answer:
22 boxes were lost. Look for the happy squirrels.
Step-by-step explanation:
Let x be the number of lost boxes. David Express should expect to receive $25 for each of the 325 boxes of apples. That means:
($25)*(325) = $8125
The loss of a box means that the delivery fee would be forfeited, which would amount to: x*($25)
But a compensation fee of $75/box also applies, so the total loss to the income would be x*($25+$75) or x*($100). This would be subtracted from the total expected income of $8125:
Resulting Income: $8125 - ($100)x = $5925
$8125 - ($100)x = $5925
$8125 - ($100)x = $5925
-100x = -2200
x = 22 boxes were lost. Zounds! [A metric term for %$%^&]
===================
Check: Does the loss of 22 of the 325 boxes result in a total payment of $5925?
Delivered boxes: (325 - 22) = 303 boxes delivered. 303*$25 = $7575
Penalty of $75 per lost box: 22*($75) = $1650
Result: $7575 - $1650 = $5925 YES
Anthony needs to fill a barrel with 5 gallons of water. He only has a quart container. How many times will he need
to fill the quart container in order to get 5 gallons of water into the barrel?
a. 34
b. 21
c. 17
d. 11
Name the type of angle pain:
-Linear Pair
-Vertical Angles
-Complementary Angles
-Corresponding Angles
Simplify ratio
1. 65:15
2. 56:45
3. 98:24
4. 380:56
5. 246:39
6. 98:112
7. 54:12
8. 87:15
9. 47:17
10. 90:117
1) 13:3
2) Same
3) 49:12
4) 95:14
5) 82:13
6) 7:8
7) 9:2
8) 29:5
9) Same
10) 10:13
Your basically dividing them by each other on a calculator
E.g. 90 ÷117 = 10/13
(10:13)
Or
20:30
20÷30=2/3
(2:3)
So, you could find the HCF of both numbers.
( highest factor of 20 & 30 is 10)
Hope this helps!
What is the least common multiple of 10, 20, and 25
Answer:
100
Step-by-step explanation:
Dont really know how to explain this.. 100 is the LCM of 10, 20, and 25
Answer:100
Step-by-step explanation:
Check this video for more info : https://youtu.be/BSLem5-aDpI but I did : https://imgur.com/a/hryUe2J