Answer:
To find the lower and upper quartiles and the interquartile range, we first need to order the data from smallest to largest:
20, 22, 25, 28, 29, 30, 32, 33, 34
Next, we find the median (middle value) of the entire dataset:
Median = (29 + 30) / 2 = 29.5
This median value divides the data into two halves. We then find the median of the lower half of the data, which includes all values less than or equal to 29.5:
Lower half: 20, 22, 25, 28, 29
Median of lower half = (25 + 28) / 2 = 26.5
This value, 26.5, is the lower quartile (Q1).
Similarly, we find the median of the upper half of the data, which includes all values greater than or equal to 29.5:
Upper half: 30, 32, 33, 34
Median of upper half = (32 + 33) / 2 = 32.5
This value, 32.5, is the upper quartile (Q3).
Finally, we can calculate the interquartile range (IQR) as the difference between the upper and lower quartiles:
IQR = Q3 - Q1 = 32.5 - 26.5 = 6
Therefore, the lower quartile is 26.5, the upper quartile is 32.5, and the interquartile range is 6.
Need help quick please!
Answer: cos∅= [tex]\frac{\sqrt{7} }{4}[/tex]
Step-by-step explanation:
All numbers are positive because it is first quadrant. Draw a line out.
sin = opp/hypotenuse. the opposite line of the angle (y) =3
and hypotenuse=4
use pythagorean theorem to find x
4²=3²+x²
[tex]x=\sqrt{7}[/tex]
now use cos=adjacent/hypotenuse
cos∅= [tex]\frac{\sqrt{7} }{4}[/tex]
What is the best type of graph for the data set below?
The best type of graph for the data set below is a bar graph. So the correct option is A.
Describe bar graphThe pictorial representation of data which is generally grouped, in the form of vertical or horizontal rectangle-shaped bars is called a bar graph. In this type of graph, the length of bars is a representation of the measure of data. They are also called bar charts. In statistics, bar graphs are one of the ways of data handling.
Statistics is the collection, presentation, analysis, organization, and interpretation of data observations. There are various methods for the representation of this statistical data. These can be tables, bar graphs, pie charts, histograms, frequency polygons, etc.
There are three main characteristics of bar graphs. These are:
It helps in comparing the different sets of data among different groups.
The relationship using two axes is shown where the categories are on one axis and the values are on the other axis.
Major changes in data over time are shown.
Therefore the correct option is A.
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The complete question is:
Making observations often involves:
A. forming a hypothesis, finding answers, and planning experiments.
OB. forming a hypothesis, asking questions, and writing articles.
C. asking questions, identifying problems, and gaining new
information.
D. finding ansers, making predictions, and identifying problems.
The correct statement is C. asking questions, identifying problems, and gaining new information is the most accurate option.
What is observation?The definition of "observation" given by Merriam-Webster is "an act of recognizing and noting a fact or occurrence often involving measurement with instruments," or "a record or description so obtained."
C. asking questions, identifying problems, and gaining new information is the most accurate option.
Making observations often involves the process of asking questions, identifying problems, and gaining new information. Observations are made to gather data and information about a phenomenon or event, which can then be used to answer questions or develop hypotheses for further research.
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Find the value of x. Then find the area of the triangle.
Answer:
it would be 3 or 2
Step-by-step explanation:
Multiply the product
(s-2)(s+4)
Answer:
s^2+2s-8
Step-by-step explanation:
(s-2)(s+4)
=s^2+4s-2s-8
simplified= s^2+2s-8
Answer:
s^2+2s-8
Step-by-step explanation:
(s-2)(s+4)
=s^2+4s-2s-8
simplified= s^2+2s-8
Pete is twice as old as chris. Seven years ago the sum of their ages was 31. Find their ages now
Answer:
Step-by-step explanation:
Answer: Pete is twice as old as Chris.p = 2c Seven years ago the sum of their ages were 31.(p-7) + (c-7) = 31p + c - 14 = 31p + c = 31 + 14p + c = 45Find their ages now replace p with 2c2c + c = 453c = 45c = 45/3c = 15 is Chris's agethenp = 2(15)p = 30 is Pete's age::Check solutions in the statement"Seven years ago the sum of their ages were 31"30-7 + 15-7 = 31
Recite the numbers in
each row.
29
42
77
30
43
78
31 32 33
44
45 46
79
80
81
го
Copyright © A Dab of Glue W
Note to recite the numbers, you have repeat alound the tiven numbers. Often, the purpose of recitation is to memorize and become aquatinted with.
Why do a recitation ?Recitation is often a smaller subset of a larger lecture course, commonly conducted by teaching assistants, meant to offer time for conceptual knowledge application and extension of training that happens in lecture through problem-solving or discussion.
Consider this a learning process in which knowledge is recalled from memory.
You have been handed numbers to recite in this case. Reciting numbers can help you increase your numeric intelligence.
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Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. Select the appropriate response. With separate lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.7 minutes. After switching to a single waiting line, he finds that for a random sample of 29 customers the waiting times have a standard deviation of 4.9 minutes. Use a 0.025 significance level to test the claim that with a single line, waiting times vary less than with separate lines. Select the correct test statistic and critical value.
Test statistic: x^2 = 18.462. Critical value: x^2 = 15.308
Test statistic: x^2 = 20.692. Critical value: x^2 = 15.308
Test statistic: x^2 = 20.692. Critical value: x^2 = 7.815, 15.308
Test statistic: x^2 = 18.462. Critical value: x^2 = 7.815, 15.308
Find the geometric mean of 5 and 320.
A. 35
B. 40
C. 45
D. 50
Answer: 40
Step-by-step explanation:
math
Here are the endpoints of the segments below...(full question in picture) *20 POINTS*
1) The length of the segments BC =√53 FG =√53 JK =√53
2) The statements that are true are;
BC ≅ FG
BC ≅ JK
FG ≅ JK
How do we find the lengths of the segments?
To find the lengths of the segments, we use the formula d = √((x2 - x1)² + (y2 - y1)²)
For BC, it would be √((1 - (-6))² + (2 - 4)²) = √53.
It would ordinarily be 7.3. However, since approximations are not needed, it has been left in the form of squareroot
For FG: √((-5 - (-7))² + (-1 - 6)²) = √53.
The answers provided are based on the questions seen in the image
Here are the endpoints of the segment BC, FG and JK.
B (-6, 4) C (1, 2) F (-7, 6), G (-5, -1) J (1, -8), K (3, -1)
Find the length of each segment. give an exact answer (not a decimal approximate)
BC = FG = JK =
Check all the statement that are true below;
BC ≅ FG
BC ≅ JK
FG ≅ JK
None of these are true.
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A cone has a radius of 6 m and a height of 24 m. What is the volume of the cone in terms of π? 864π m3 432π m3 288π m3 144π m3
The volume of the cone is 288π m³. Hence, the answer is option C, 288π m³.
What is cone?A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines. The height of the cone is determined by measuring the distance between its vertex and base.
The formula for the volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3)π(6²)(24)
V = (1/3)π(36)(24)
V = (1/3)(864π)
V = 288π
Therefore, the volume of the cone is 288π m³.
Hence, the answer is option C, 288π m³.
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100 POINTS AND BRAINLIEST!!!! Uncle Fred gives his nephew, Jack, and niece, Jill, £60 between them every year
at Christmas. He splits it between them in the ratio of their ages.
(a) The first time he does this Jack is 1 and Jill is 3. How much does Jill
receive?
(b) How much does Jack receive the following Christmas?
(c) How old will Jack be when he receives £25 from Uncle Fred at Christmas?
Answer:
(a) The total ratio is 1 + 3 = 4, so Jill's share is (3/4) of £60:
Jill's share = (3/4) × £60 = £45.
(b) The ratio of their ages remains the same, so if Jack is one year older, Jill is also one year older. Therefore, Jill's age is 4 and Jack's age is 2, and Jack's share is (2/4) of £60:
Jack's share = (1/2) × £60 = £30.
(c) Let x be the age of Jack when he receives £25 from Uncle Fred. According to the problem, Jill is always two years older than Jack. Therefore, when Jack is x years old, Jill is x + 2 years old. The ratio of their ages is x : (x + 2), and this ratio is equal to 5/7 (25 pounds is 5/7 of 35 pounds, which is the total amount that they will receive). We can write an equation to solve for x:
x/(x+2) = 5/7
7x = 5(x + 2)
7x = 5x + 10
2x = 10
x = 5
Therefore, Jack will be 5 years old when he receives £25 from Uncle Fred at Christmas.
A) £45 because Jill will get 3/4 and Jack will get 1/4. To check our work, 60 divided by 4 is 15. 15 times 3 is 45 and 15 times one is 15.
B) £30 because it is a new year, both nephews will increase by one year. Now Jill is 4 and Jack is 2. So each kid will get half the share. 2 divided by 4 is 0.5 which is half of one. Half of 60 is 30.
C) 5 years Jill will always be 2 years older than Jack; this shows us that if some more years pass, Jill will be 7 and Jack will be 5 —> 1/4 x £60 = £25 Multiplying both sides by 4/60, we get:x = 5/4. This means Jack will be 5.
—————
Please remember to revise this and make it in your own words if you want! I am unsure about question C so comment!! I hope this helps you. -Doodle
—————
which of the following satisfies ? 3m-5=10
Answer:3-7=5
Step-by-step explanation: 3-7=5
HELP!!
What is the value of g(2)?
Answer:
g to the power of 2
Step-by-step explanation:
Me=smart
What is the formula to calculate weighted average? What is the difference between ROR and weighted return? Please help i'm stuck and my brain hurts.
The formula and the differences are shown below
What is the formula to calculate weighted average?The formula to calculate weighted average is:
weighted average = (w1x1 + w2x2 + ... + wnxn) / (w1 + w2 + ... + wn)
Where x1, x2, ..., xn are the values being averaged, and w1, w2, ..., wn are their corresponding weights.
The weighted average gives more importance or weight to certain values than others.
The weights can represent the relative importance, significance, or contribution of each value to the final average.
What is the difference between ROR and weighted return?The main difference between ROR and weighted return is that ROR measures the return of a single investment, while weighted return measures the return of a portfolio or investment that is composed of multiple assets with different weights.
Weighted return takes into account the relative importance of each asset or security in the portfolio, while ROR does not consider the impact of other investments.
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Question 3 (1 point)
Which of the choices is NOT a good example of a line of best fit?
A.
B.
C
D
Answer:
B
Step-by-step explanation:
All of the lines of best fit are close to the points in the scatter plot except B.
The line of best fit in B does not even touch any of the points in the scatter plot, so it is not a good example of a line of best fit.
find a. round to the nearest tenth. a=? cm
The value of (a) in given triangle is approximately 7.44 cm.
What do you mean by triangle?A triangle is a three-sided polygon consisting of three sides and three vertices. The most important property of a triangle is that the sum of its interior angles is 180 degrees.
Let ΔABC is a triangle
Given ∠ B = 75°
∠ C = 31.8°
AB = 12cm
AC = 22cm
find BC = ?
We can use the law of cosines to solve for BC:
BC² = AB² + AC² – 2(AB)(AC)cos(B)
We know that angle B = 75 degrees, so we can substitute:
BC² = 12² + 22² - 2(12)(22)cos(75)
Evaluating cos(75) with a calculator, we get:
BC² ≈ 144 + 484 - 572.59
BC² ≈ 55.41
Taking the square root of both sides gives us:
BC ≈ 7.44
Therefore, BC is approximately 7.44 cm.
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I showed a picture of the question
The mean low temperature in Ketchikan from Monday to Friday is given as follows:
b. -5.4 ºF.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
The five observations in the data-set are given as follows:
-10, -20, 5, 3 and -5.
Hence the mean of the data-set is given as follows:
(-10 - 20 + 5 + 3 - 5)/5 = -5.4 ºF.
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NO LINKS!! URGENT HELP PLEASE!!!
Select all that apply
c. Symmetric with respect to the origin
Answer:
To determine if the given equations are symmetric with respect to the origin, we need to check if replacing x with -x and y with -y results in the same equation.
For the equations given:
y=7x-4 is not symmetric with respect to the origin since replacing x with -x and y with -y gives y=-7x+4, which is not the same equation.
y= -x+7 is not symmetric with respect to the origin since replacing x with -x and y with -y gives y=x-7, which is not the same equation.
y = -7x^2 is symmetric with respect to the origin since replacing x with -x and y with -y gives -y = -7(-x)^2, which simplifies to -y = -7x^2. Thus, the equation remains the same.
y = 6x^2 - 9 is not symmetric with respect to the origin since replacing x with -x and y with -y gives -y = 6(-x)^2 - 9, which simplifies to -y = 6x^2 - 9. Thus, the equation is not the same.
x=1/4 y^2 is not symmetric with respect to the origin since replacing x with -x and y with -y gives -x = 1/4 (-y)^2, which simplifies to -x = 1/4 y^2. Thus, the equation is not the same.
x = -y^2 + 9 is symmetric with respect to the origin since replacing x with -x and y with -y gives -x = -(-y)^2 + 9, which simplifies to -x = -y^2 + 9. Thus, the equation remains the same.
y=-1/6 x^3 is symmetric with respect to the origin since replacing x with -x and y with -y gives -y=-1/6(-x)^3, which simplifies to -y=-1/6 x^3. Thus, the equation remains the same.
y=x^3-1 is not symmetric with respect to the origin since replacing x with -x and y with -y gives -y=(-x)^3-1, which simplifies to -y=-x^3-1. Thus, the equation is not the same.
y=sqrt(x) is not symmetric with respect to the origin since replacing x with -x and y with -y gives -y=sqrt(-x), which is not the same equation.
y=sqrt(x)-6 is not symmetric with respect to the origin since replacing x with -x and y with -y gives -y=sqrt(-x)-6, which is not the same equation.
Therefore, the only equation that is symmetric with respect to the origin is y = -7x^2.
Answer:
i can only see b not c
Step-by-step explanation:
A number k multiplied by 4 is less than -3/2
Answer:
[tex]4k < -\frac{3}{2}[/tex]
Step-by-step explanation:
"A number k multiplied by 4 is less than -3/2"
First, let's look at the first part:
"A number k..."
We know the number we are operating is called k.
Let's look at the second part.
"...multiplied by 4..."
Now, we are multiply k by 4. After doing so, we get:
[tex]4k[/tex]
Finally, let's look at the last part.
"...is less than -3/2"
The quantity "a number k multiplied by 4" (or 4k) is less than -3/2.
We can rewrite this as:
[tex]4k < -\frac{3}{2}[/tex]
need answers 5. , 6. , 7. , whoever gives all ill give brainliest!! please im gonna fail this class and im about to graduateee
Answer:
5)
$332.19
6)
$16,857.36
7)
$248.91
Step-by-step explanation:
monthly premium = Base Rate * [tex]\frac{Monthly Payroll}{100}[/tex]
5)
given:
Base rate = $2.24
Monthly payroll = $14,830.00
unknown = monthly premium
[tex]2.24 * \frac{14,830.00}{100}[/tex] = $332.192≈$332.19
6)
given:
Base rate = $19.89
Monthly payroll = $84,752.96
unknown = monthly premium
[tex]19.89 * \frac{84,752.96}{100}[/tex] = $16,857.364≈$16,857.36
7)
given:
Base rate = $2.90
Monthly payroll = $8,582.94
unknown = monthly premium
[tex]2.90 * \frac{8,582.94}{100}[/tex]=$248.90526≈$248.91
What is the measure of angle x?
Enter your answer in the box.
Answer:
43
Step-by-step explanation:
at the upper horizontal plane the angles add up to 180 degrees so you add the right angle with the 47 degrees and then you subtract the answer from180 degrees.the value you obtain is oppositely equal to the value of x hence,43
BRAINLIEST FOR RIGHT ANSWER
A cylinder has a volume of 517 cm³. What is the volume of a cone that has the same
size base and height as the cylinder. Write your answer in terms of pie
the volume of cone is [blank] pie cm^3
Answer:
[tex]\pi {r}^{2}h = 51\pi[/tex]
[tex] \frac{1}{3} \pi {r}^{2} h = \frac{1}{3} \times 51\pi= 17\pi[/tex]
The volume of the cone is 17π cubic centimeters.
50 points. use rotation tool in top right to flip upright.
Answer:
(a) 56%
(b) 28%
Step-by-step explanation:
Hope this helps! :)
17 feet 2 inches= Inches
Answer:
206 inches
Step-by-step explanation:
1 feet = 12 inches
17 feet = 17 x 12 = 204 inches
17 feet 2 inches = 204 + 2 = 206 inches
So, 17 feet 2 inches = 206 inches
The magnitude, M, of an earthquake is represented by the equation M=23logEE0 where E is the amount of energy released by the earthquake in joules and E0=104.4 is the assigned minimal measure released by an earthquake. Which equation could be used to find the amount of energy released by an earthquake with a magnitude of 2.7? Select the correct answer below: 4.05=E104.4 104.05=E104.4 104.05E=104.4 104.05=104.4E 104.05E=104.4
Using the magnitude formula we know the amount of energy released by an earthquake with a magnitude of 5.5 is 4.5 * 10¹².
What is Magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
The most frequent way to gauge an earthquake's size is through its magnitude.
It is a gauge for the magnitude of an earthquake's sole source.
As a result, it is the same regardless of how or where you view it, and the following computation can be made:
So, in the given situation we will be using the formula:
M = 2/3 log E/E₀
Where E is the power released in Joules and x, the minimal measure released by such an earthquake shall be allotted to.
Assuming 5.5, the same magnitude is given when the above equation is used:
M = 2/3 log E/E₀
5.5 = 2/3 log (E/10⁴°⁴)
8.5 = log (E/10⁴°⁴)
10⁸°⁵ = E/10⁴°⁴
E = 10⁴°⁴ * 10⁸°⁵
E = 4.5 * 10¹²
Therefore, using the magnitude formula we know the amount of energy released by an earthquake with a magnitude of 5.5 is 4.5 * 10¹².
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Correct question:
The magnitude, M, of an earthquake, is represented by the equation M=23logEE0 where E is the amount of energy released by the earthquake in joules and E0=104.4 is the assigned minimal measure released by an earthquake. In scientific notation rounded to the nearest tenth, what is the amount of energy released by an earthquake with a magnitude of 5.5?
The top prism is 10 x 5 x 5 this one has me all kinds of confused
The volume of the complete prism is 1625 cubic in
How to find the volume of the figureThe volume of the figure is solved by dividing the figure into two sections and solving for each volume then adding the individual volume together.
The divisions are section 1 and section 2
section 1 has dimensions: 20 x 15 x 5
volume = 20 x 15 x 5 = 1500 cubic in
section 2 has dimensions: 5 x 5 x 5
volume = 5 x 5 x 5 = 125 cubic in
Volume of the complete figure
section 1 + section 2
= 1500 cubic in + 125 cubic in
= 1625 cubic in
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Kaydin is trying to decide
wether to buy a season pass to UCLA's 23
home basketball games this season. The
cost of an individual ticket is $21, and the
cost of a season pass is $386. The season
pass will admit Kaydin to any home game
at no additional cost. What is the
minimum number of home basketball
games Kaydin must attend this season in
order for the cost of a season pass to be
less expensive than the total cost of
buying an individual ticket for each game
he attends?
____games
DETERMINE IF THE SEQUENCES ARE ARITHMETIC, IF SOFIND THE COMMONDIFFERENCE, THE 52 TERM, AND EXPLICIT FORMULA
31, -69, -169, -269
The common difference of the sequence is - 100.
The explicit formula of the sequence is 131 - 100n.
The 52 term of the sequence is -5069.
How to find the explicit formula of a sequence?Let's find the explicit formula of the arithmetic sequence as follows:
31, -69, -169, -269
We will find the common difference and the 52 terms.
Therefore,
a + (n + 1)d = nth term
where
a = first termd = common differencen = number of termsTherefore,
d = common difference = -69 - 31 = - 100
Therefore,
nth term = 31 + (n - 1)-100
nth term = 31 - 100n + 100
nth term = 131 - 100n
Let's find the 52 term
Hence,
52 term = 131 - 100(52)
52 term = 131 - 5200
52 term = -5069
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Type the correct answer in each box. If necessary, use / for the fraction bar. If 3 + 2i / 2 - 3i
The correct term in each box, if necessary, use / for the fraction bar are a = 1/7-4i, b = 1/13.
What is a fraction bar?In mathematics, a fraction bar is a visual representation of fractions that facilitates fraction comparison and fraction operation. Part-to-whole representational models like fraction bars or fraction strips are used. One unit out of a whole is represented by each segment of a fraction bar.
We need to be aware of an aspect of imaginary numbers in order to determine the values of variables a and b. The following rule applies to the hypothetical unit:
Therefore, the correct terms are 1/7-4i, b = 1/13.
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