Lower Quartile Explanation: Arrange the terms in ascending order
20, 22, 25, 28, 29, 30, 32, 33, 34
Take the lower half of the ascending set: 20, 22, 25, 28
Find the median of 20, 22, 25, 28: 23.5
Upper Quartile Explanation: Arrange the terms in ascending order
20, 22, 25, 28, 29, 30, 32, 33, 34
Take the upper half of the ascending set: 30, 32, 33, 34
Find the median of 30, 32, 33, 34: 32.5
Interquartile Explanation:
Compute the first quartile of the list: 23.5
Compute the third quartile of the list: 32.5
Compute the difference between 32.5 and 23.5: 9
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 29 feet up. The ladder makes an angle of 71∘
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer:
30.7
Step-by-step explanation:
sin 71° = 29/ ladder length
so length = 29/ sin 71° = 30.7
Determine c such that f(c) is the average value of the function
on the interval [0, 2].
The c is equal to half of the definite integral of the function over the interval [0, 2].
To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:
avg = 1/(b-a) * ∫(a to b) f(x) dx
In this case, a = 0 and b = 2, so the formula becomes:
avg = 1/2 * ∫(0 to 2) f(x) dx
We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:
f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx
We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:
f'(c) = 1/2 * (f(2) - f(0))
Solving for c gives us:
c = (1/2) * ∫(0 to 2) f(x) dx
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Jackie has a recipe for banana bread. She uses 4 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f? HELP
b=9/2f
b=3/2f
b=2/3f
b=2/9f
Answer:
b
Step-by-step explanation:
write an quadratic equation with the x-intercepts of (0,0) and (16,0)
Answer:
y = x^2 - 16x
Step-by-step explanation:
The given roots are x = {0, 16}
y = (x - 0)(x - 16)
y = x(x - 16)
y = x^2 - 16x
The art club raised \$248$248dollar sign, 248 through fundraisers. Then they spent \$206$206dollar sign, 206 to set up an art show. They raised another \$316$316dollar sign, 316 at the art show. How much money did the art club have after the show
Considering the amount they raised and the amount they spent, it is found that the art club had $358 after the show.
How to find the net amount of the art club?The net amount is found by the subtraction of the amount raised by the amount spent.
In this problem:
The amount raised, in dollars, is of 248 + 316 = 564.The amount spent is of $206.Then:
A = 564 - 206 = $358.
The art club had $358 after the show.
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Please help me !!!!!!!!
Answer:
The Eastern Continental Trail is 5,376 miles and the Erie Canalway Trail is 384 miles
Step-by-step explanation:
I took 5,760 divided it by 15 and got 384, I then subtracted 5,760 by 384 and got 5,376
what is the number 7,938 simplified
Answer:
It is 89.10
Step-by-step explanation:
Hope this helps.
Abigail plans to save 2/5 of her earnings each week for 12 weeks. She earns approximately 180 per week about how much will Abigail have saved from earnings at the end 12 weeks
Answer:
864
Step-by-step explanation:
Each week she will save 2/5, so 2/5 of 180 = (2/5)*180 = 72. Then, she is saving for 12 weeks and each week she saves 72 so at the end of 12 weeks: 72*12 = 864.
HELP! Find the indicated side of the triangle.
you will need to know trig functions;
a)
tan(45) = 7/a
you want to solve for "a", online calculator should give you the option for trig functions.
a = ~4.32
Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.
Answer:
the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.
Step-by-step explanation:
I'm not sure if that's what you were asking for but there .
brainiest please.
Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
y=mx+by=mx+bm=slope(x,y)=a point on the lineb=the y value of the y-interceptm=slope(x,y)=a point on the lineb=the y value of the y-intercept
Step-by-step explanation:
Add the following complex numbers:
(2 - 8i)+ (5 - i)
O A. -3-91
B. 7-9;
O C. -3-71
D. 7 - 71
Answer:
B. 7 - 9i
Step-by-step explanation:
1) Remove Parentheses.
2 - 8i + 5 - i
2) Add 2 and 5.
7 - 8i - i
3) Subtract i from -8i.
7 - 9i
Answer:
Option B
The answer is 7 – 9i
Step-by-step explanation:
(2 – 8i) + (5 – i)
2 – 8i + 5 – i
7 – 9i
Thus, The answer is 7 – 9i
-TheUnknownScientist 72
What is the general form of the equation 2x + 3y = 9?
Answer:
2x + 3y - 9 = 0
Step-by-step explanation:
What is -3 4/5 + 1 2/5 simplified?
Answer:
-2 2/5
Step-by-step explanation:
-3 4/5 = 19/5
1 2/5 = 7/5
-19/5 + 7/5 = -12/5
-12/5 = -2 2/5 = -2.4
If I have a book that is 298 pages, and I read 20 pages a day, how long will it take me to read the entire book?
Also what is the formula to solve this problem problem!!
Answer:
Step-by-step explanation:
Given:
N₀ = 298 pages
N = 20 pages
You can apply the formula:
Number of days
D = [N₀ / N] + 1 = [298 / 20 ] + 1 =
= [14.9] + 1 = 14 + 1 = 15 day,
where the square brackets are the integer part of the number
If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.
Total pages in the book= 298
Total pages that I daily read= 20
Then it will take 15 days to read the entire book.
The formula for this problem:
The solution to this type of problem can be figured out with the help of unitary method.
20 pages of a book can be read in = 1 day
1 page of a book can be read in = 1/20 days
298 pages of a book can be read in = 1/20×298 days = 14.9 days
But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.
15 days it will take to read the entire book.
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on what issues did the reformer ignatius of loyola focus
Ignatius of Loyola, the Spanish priest and theologian who founded the Society of Jesus (Jesuits) in the 16th century, focused on several key issues during the period of the Counter-Reformation.
These issues can be broadly categorized into spiritual, educational, and institutional reforms.
Spiritual Reforms: Ignatius emphasized the importance of personal piety and spiritual discipline. He promoted the practice of spiritual exercises, including meditation, prayer, and self-examination, to cultivate a deep and intimate relationship with God. Ignatius encouraged individuals to reflect on their sins and seek forgiveness through confession and penance.
Educational Reforms: Ignatius recognized the power of education in shaping individuals and society. He established schools and universities to provide a comprehensive education that combined intellectual rigor with spiritual formation. The Jesuits placed great emphasis on academic excellence, encouraging critical thinking, the pursuit of knowledge, and the integration of faith and reason.
Pastoral Reforms: Ignatius focused on improving the quality of pastoral care and religious instruction. He trained his followers to be skilled preachers and spiritual directors, equipping them to guide and support individuals in their spiritual journey. Ignatius also emphasized the importance of catechesis, ensuring that people received proper religious education and understood the teachings of the Catholic Church.
Missionary Work: Ignatius and the Jesuits had a strong missionary zeal. They undertook extensive missionary endeavors, particularly in newly discovered territories during the Age of Exploration. They sought to bring Christianity to non-Christian lands and convert indigenous populations to Catholicism. The Jesuits established missions, schools, and hospitals in various parts of the world, playing a significant role in spreading Catholicism.
Overall, Ignatius of Loyola's reforms aimed to strengthen and revitalize the Catholic Church in response to the challenges posed by the Protestant Reformation. His focus on personal spirituality, education, pastoral care, and missionary work contributed to the renewal and expansion of the Catholic Church during the Counter-Reformation.
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Please help if you can!
Use the table below to determine whether f(x) could represent a linear function. If it could write f(x) in the form f(x) = mx +b.
Answer:
5x-3
Step-by-step explanation:
This is linear because the numbers are changing at a constant rate (of 5)
We can also see that when x=0 y= -3 which means that in our equation
y=mx+b
-3 =b
I said prior that the rate of change is 5 which means that our slope is 5
which means that our equation looks like
5x-3
Name the quadrant in which the angle theta lies.
cos theta > 0, sec theta < 0
Choose the correct answer below.
A. The angle theta lies in quadrant II.
B. The angle theta lies in quadrant III.
C. The angle theta lies in quadrant I or III.
D. The angle theta does not exist.
The angle theta lies in quadrant I or III.
Hence, option (C) is the correct choice.
The coordinate system's two axes, the x-axis and the y-axis, constitute an area called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
Cosθ=(1/Sinθ)
And, Secθ = (1/Cosθ)
As we know,
In the first Quadrant.
The value of Sinθ is positive, so the corresponding value of Cosθ will be also Positive.
As, In the second case the value of Secθ should be less than 0,
We know the value of Cosθ is negative in the third Quadrant.
So, the value of the Secθ will be less than 0 in the third quadrant.
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Estimate the product 19.25 and 5.2
A. 110
B. 120
C. 130
D. 100
Answer:
d
I hope that help
welcome
me ayudan a resolver unos problemas en word les adjunto el archivo
use the classical definition to find the probability of the following event: rolling a fair die once and getting a number greater than 2. express your answer as a decimal rounded to one decimal place
The probability of rolling a fair die once and getting a number greater than 2 is 0.7.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let a fair dice is roll once.
The total numbers on dice are 6
The total numbers greater than 2 on dice are 4 which are 3, 4, 5, and 6.
So,
P(getting number greater than 2) = 4/6 = 0.7
Hence, the probability of rolling a fair die once and getting a number greater than 2 is 0.7.
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Question Down Below: (Please i really need to complete this right now)
The inequality to represent the constraints will be:
x + y ≥ 325
x + 2y = 600
How to calculate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Let x = number of vegetarian meals
Let y = number of meats.
The inequality to represent the constraints will be:
x + y ≥ 325
x + 2y = 600
In this case, the daily budget is 600.
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The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013, Give a formula for G (in billions of dollars) f years after 2013 if G increases by? (a) 2% per year. G(t)= ______. (b) 8 billion dollars per year. G(t) = ________.
A formula for G (the gross domestic product) of Switzerland, which was 685.4 billion dollars in 2013, is as follows:
a) G(t) = 685.4 x 1.02^tb) G(t) = 685.4 + 8t.How the formulas are derived:The first formula for G involves multiplicative factor and exponent operations involving the gross domestic product in 2013 and annual growth rate (increase) of 2%.
The second formula is an addition operation with the annual increase multiplied by the number of years since 2013.
The gross domestic product of Switzerland (G) in 2013 = $685.4 billion
a) Annual increase in G = 2% per year = 0.02
Growth rate for t years = 1.02^t
Function:G(t) = 685.4 x 1.02^t
b) Annual increase in G = 8 billion dollars per year
Growth rate for t years = 8t
Function:G(t) = 685.4 + 8t
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answer number 3 pls and number 4 as well if you know the answer plss
Determine the range I for the function w(z)=j z+3, where the domain D is given as x \subset(0, \infty) and y \subset(0, \infty) .
The range I for the function w(z) = jz+3, where the domain D is x ⊂ (0, ∞) and y ⊂ (0, ∞), is determined by the values of j and the intervals (0, ∞) for x and y.
The given function w(z) = jz+3 represents a mapping from the domain D, which consists of positive values for both x and y, to the range I. The range I will depend on the values of j and the intervals (0, ∞) for x and y.
The function is a linear transformation of the variable z, with a scaling factor of j and a translation of 3 units. The value of j will determine the slope of the line and how the values of z will be scaled in the range.
Since the domain D consists of positive values for both x and y, and the function w(z) is defined as jz+3, the range I will also consist of positive values. The exact range of the function will depend on the values of j.
In summary, the range I for the function w(z) = jz+3, where the domain D is x ⊂ (0, ∞) and y ⊂ (0, ∞), consists of positive values determined by the scaling factor j and the intervals (0, ∞) for x and y.
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T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?
A:47
B:275
C:550
D:281
Answer: 275
Step-by-step explanation:
This is not math but plssss answer here are some points
Answer: =D
Step-by-step explanation:
Answer: The 6 gram marble
Step-by-step explanation: The more bigger the object and the faster it moves, the more kinetic energy will be recieved making molecules move faster and faster I hope this helps :D
The probability of having a head in a single toss of a coin is?
Answer:
probability will be 1/2 because when you toss a single coin then there will be 2 outcomes: a head and a tail that is 2 possible outcomes so, the probability of getting a hard in a single toss of coin will be 1/2
explanation:
hope it helps
The blank is the number that tell how many times a base number is used as a factor
Answer:
exponent
Step-by-step explanation:
help i'll mark youuuuuuuuuuuuuu
Answer:
A. 525 feet
Step-by-step explanation:
If every hour their altitude increased by 135 then their would be an increase of 675 (135 × 5) after 5 hours. To find their altitude 5 hours earlier then you would subtract 675 from their current altitude. 1,200-675=525 feet