The scatterplot below shows a set of data points.
On a graph, point (3, 9) is outside of the cluster.
Which point would be considered an outlier?
(1, 5)
(3, 9)
(5, 4)
(9, 1)
Answers
In the given scatter plot, the point (3, 9) is stated to be outside of the cluster. An outlier is a data point that significantly deviates from the overall pattern or trend of the other data points.
Considering this information, the point (3, 9) would be considered an outlier since it is explicitly mentioned to be outside of the cluster. The other points mentioned, (1, 5), (5, 4), and (9, 1), are not specified as being outside the cluster in the provided information.
Identifying outliers in a scatter plot typically involves analyzing the data points in relation to the general pattern and distribution of the other points. In this case, the fact that (3, 9) stands out from the rest of the data indicates that it is an outlier.
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Related Questions
1. Which quadratic equation below could be used to represent the follow
Your town wants to put a square fountain in the park. The fountain will
dimensions that can be used for the fountain?
x² + 16x + 64 = 800
Ox² + 8x + 16 = 800
C
None of the choices are correct.
2
x² + 16 = 800
Answers
Step-by-step explanation:
your text misses some parts.
so, there is no clear way to tell you the correct answer option. but there are some indications what is more likely your teacher wants to see as an answer, when we look at the individual options.
x² + 16x + 64 = 800
is the same as
(x + 8)² = 800
and then
x + 8 = sqrt(800) = 28.28427125...
x = 20.28427125...
not a nice number, but yes, a possible solution.
x² + 8x + 16 = 800
is the same as
(x + 4)² = 800
x + 4 = sqrt(800) = 28.28427125...
x = 24.28427125...
again, not a nice number, but yes, a possible solution.
I ignore "none of the choices are correct". again you did not provide enough information to make that call, as we have already 2 possibly valid solutions.
x² + 16 = 800
x² = 784
x = sqrt(784) = 28
that is a "nice" number and a possible solution.
I would therefore bet on this answer, although, as mentioned, it is not clear what we actually try to find out.
r(t) = ⟨ sin(6t), cos(6t), sin(6t)cos(12t) ⟩It will intersect xy-plane on interval, 6π/23 < t < 8π/25.
Answers
The function r(t) will intersect at the interval π/2
To solve this equation, we use the fact that the product of two numbers is zero if and only if at least one of the numbers is zero. So we have two cases to consider: either sin(6t) = 0 or cos(12t) = 0.
For the first case, sin(6t) = 0 when 6t is a multiple of π, i.e., when t = kπ/6 for some integer k.
However, we need to make sure that the values of t that satisfy this condition also lie in the given interval 6π/23 < t < 8π/25.
To do this, we note that kπ/6 is increasing as k increases, and we can find the first value of k that makes t = kπ/6 greater than or equal to 6π/23 and the last value of k that makes t = kπ/6 less than or equal to 8π/25.
This gives us k = 16 for the lower bound and k = 20 for the upper bound, so the values of t that satisfy sin(6t) = 0 and the given interval are t = 16π/6 and t = 20π/6.
Finally, we need to check whether any of these values of t satisfy both sin(6t) = 0 and cos(12t) = 0, since we need both conditions to be true for the z-coordinate of r(t) to be zero.
It turns out that only t = 12π/24 = π/2 satisfies both conditions, so this is the only value of t for which the curve intersects the xy-plane in the given interval.
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If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means will have a mean of one. will have a variance of one. can be approximated by a normal distribution. can be approximated by any distribution.
Answers
The statement "the sampling distribution of the difference between the two sample means will have a mean of one" is not necessarily true, and neither is the statement "will have a variance of one" or "can be approximated by any distribution."
The sampling distribution of the difference between two sample means from independent populations will have a mean equal to the difference between the population means. However, the variance of the sampling distribution will depend on the sample sizes and the variances of the two populations.
If the sample sizes are large enough (usually considered to be greater than or equal to 30) and the population variances are known or assumed to be equal, then the sampling distribution of the difference between two sample means can be approximated by a normal distribution.
Therefore, the statement "the sampling distribution of the difference between the two sample means will have a mean of one" is not necessarily true, and neither is the statement "will have a variance of one" or "can be approximated by any distribution." However, the statement "can be approximated by a normal distribution" is generally true if the sample sizes are large enough and the population variances are known or assumed to be equal.
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There are no competing lemonade stands. One day, each lemonade stand recorded the number of glasses of lemonade they sold
each hour. The number of glasses of lemonade sold are shown in the box plot below.
Stand 1
Stand 2
14
15
16 17 18
19 20 21 22 23 24
Glasses of Lemonade Sold
Based on these samples, what generalization can be made?
A. The range of the hourly number of glasses at lemonade sold at stand 1 is less than the range of the hourly number of
glasses of lemonade sold at stand 2.
OB. The interquartile range of the hourly number of glasses of lemonade sold at stand 1 is greater than the interquartile range
of the hourly number of glasses of lemonade sold at stand 2.
OC. The third quartile of the hourly number of glasses of lemonade sold at stand 1 is less than the third quartile of the hourly
number of glasses of lemonade sold at stand 2.
OD. The median of the hourly number of glasses of lemonade sold at stand 1 is less than the median of the hourly number of
glasses of lemonade sold at stand 2.
Answers
Answer:
A
Step-by-step explanation:
I got it correct on study island.
relationships in triangles pt. 2
Answers
The respective lengths as requested of each triangle are;
x = 7
y = 12
PQ = 29
QR = 29
PS = 32
RS = 32
PT = 25
PR = 50
What is the measure of side length of the triangle?QT bisects PR and so;
PT = PR (bisected segments)
PQR is an Isosceles triangle where two sides are congruent and so;
PQ = QR
5y - 31 = 2y + 5
3y = 36
y = 12
PRS is an Isosceles triangle where two sides are congruent and so;
PS = RS
4x + 4 = 7x - 17
3x = 21
x = 7
Thus;
PQ = 5(12) - 31 = 29
QR = 2(12) + 5 = 29
PS = 4(7) + 4
PS = 32
RS = 7(7) - 17
RS = 32
PT = 6(7) - 2(12)
PT = 25
PR = 2 * 25
PR = 50
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An unrestricted balance sheet category used in health care reporting to show limitations on the use of assets due to bond covenant restrictions and governing board plans for future use is called:
A) Permanently restricted net assets.
B) Temporarily restricted net assets.
C) Assets whose use is limited.
D) Unrestricted net assets.
Answers
The answer is C) Assets whose use is limited. This is an unrestricted balance sheet category used in health care reporting to show limitations on the use of assets due to bond covenant restrictions and governing board plans for future use.
In healthcare reporting, there are three categories of net assets that are reported on the balance sheet: permanently restricted, temporarily restricted, and unrestricted. Permanently restricted net assets are donations or endowments that have specific limitations on their use, while temporarily restricted net assets are donations or endowments that have restrictions on their use for a specific period of time. Unrestricted net assets are funds that are available for general use, without any restrictions.
However, in some cases, there may be limitations on the use of assets that are not related to specific donations or endowments. These limitations may arise due to bond covenant restrictions or governing board plans for future use. In such cases, the assets are classified as "assets whose use is limited" on the balance sheet.
This category of assets is considered unrestricted because there are no specific restrictions on their use, but their usability is still limited due to external factors.
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As a small step to save the environment, Luna came up with an idea for her sweet shop. In exchange for five eclaire boxes, that she gets, she decided to give an eclaire box for free. A group of kids from the locality ate seventy-seven eclaire boxes that week and they collected the boxes to give to Luna and get back eclaires boxes.
How many eclaires boxes do you think they can buy from Luna using the seventy-seven claire boxes?
Answers
Answer: 15
Step-by-step explanation:
From the question, we can infer from the information given that:
5 eclaires boxes = 1 free eclaires box.
Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:
= 77 / 5
= 15.4
= 15
The group of kids will receive 15 free boxes
k ( n ) = | n + 1 | − 1 ; Find k ( 4 )
Answers
Answer:
4
Step-by-step explanation:
consider the following problem: a farmer with 750 ft of fenc- ing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. what is the largest possible total area of the four pens?
Answers
The largest possible total area of the four pens is 14,062.5 ft.²
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
Diagrams illustrating the situation can be formed adjusting the width of the included diagram illustrating the general situation.
The expression for the total area is A=( 150- (2Y)/5 ) Y
Reasons:
The given parameter are;
Length of fencing available = 750 ft.
Area to be enclosed = Rectangular
Number of included pens with parallel fencing = Four
Let Y represent the width of the area and let X represent the breadth
Therefore, we have;
2·Y + 5·X = 750
Which gives;
X=(750/5)-(2Y/5)=150-(2Y/5)
The area is therefore;
A=Y [150-(2Y/5)] = 150Y-(2Y²/5)
Differentiate with respect to Y and equate to zero
dA/dY = 150- (4Y/5)=0
Y=(150*5)/4 = 187.5
The width of the maximum area, Y = 187.5 ft.
Which gives;
X=150- (2*187.5)/5 = 75
The breadth of the area, X = 75 ft.
The maximum area, = Y × X, which gives;
= 187.5 ft. × 75 ft. = 14,062.5 ft.²
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triangle ABC is located at points A(-4,3),B(3,3)and C(2,-1) and has been dilated from the origin by a scale factor of 3. Draw and label the vertices of triangle ABC. Determine the coordinates of the dilated triangle A' B'C',and draw and label it on the coordinate plane.
Answers
The coordinates of dilated triangle A' B'C' is A'(-12, 9), B'(9, 9) and C'(6, -3).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Dilation is the increase or decrease in size of a figure by a factor k. If point A(x, y) is dilated by factor k, the new point is at A'(kx, ky).
ABC is located at points A(-4,3),B(3,3)and C(2,-1). If it is dilated by a factor of 3, the new points is at:
A'(-12, 9), B'(9, 9) and C'(6, -3).
The coordinates of dilated triangle A' B'C' is A'(-12, 9), B'(9, 9) and C'(6, -3).
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Help Me with this plss!!
Answers
Answer:
3
Step-by-step explanation:
Answer:
i say 3
Step-by-step explanation:
hey!! please help if you can
Answers
Answer:
6x + 1
Step-by-step explanation:
Answer:
2x + x + 2 +3x - 1
6x + 1
Step-by-step explanation:
add all
what is the value of x?
Answers
Answer:
x= 32
Step-by-step explanation:
if x+4x-20 = 180
5x=160
x=32
1. five friends go to the movie theater together. (a) if there are 5 seats open in a row, how many ways can the friends choose seats? (b) if there are 7 seats open in a row, how many ways can the friends choose seats? (note that two seats will remain empty.) (c) repeat part (b), but where two of the friends are required to sit next to each other. (d) repeat part (b), but where two of the friends are required to not sit next to each other.
Answers
he number of ways the friends can choose seats without sitting next to each other is 7! - 4! = 5040
If there are 5 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 5 factorial (5!) which is equal to 5 × 4 × 3 × 2 × 1 = 120.
(b) If there are 7 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 7 factorial (7!) which is equal to 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.
(c) If two friends are required to sit next to each other, we can treat them as a single entity. This reduces the problem to arranging four entities (three individual friends and one pair of friends) and three empty seats. The total number of ways the friends can choose seats is then 4 factorial (4!) which is equal to 4 × 3 × 2 × 1 = 24.
(d) If two friends are required to not sit next to each other, we can count the complement of the situation in part (c). There are 7 factorial (7!) total seating arrangements without any restrictions. From part (c), we found that there are 4 factorial (4!) seating arrangements where the two friends sit next to each other. - 24 = 5016.
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Which expression has a value of 17? OA) (7-8) 2-16 OB) 72-8 (2-16) OC) 72-(8.2-16) OD) 72-8-2-16
Answers
Answer:
D
Step-by-step explanation:
7^2 is 49-8x2 what is 16-16you get 49-16-16 what equals 17 so ur answer is D
An airplane takes 8 hours to travel a distance of 5824 kilometers against the wind. The return trip takes 7 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Answer:
Speed of plane in still air = 780 km/h
Speed of air = 52 km/hr
Step-by-step explanation:
Let the speed of plane in still air = u km/h
Let the speed of air = v km/h
Against the air, the resultant speed = (u-v) km/hr
With the air, the resultant speed = (u+v) km/hr
Formula for speed is given as:
\(Speed = \dfrac{Distance}{Time }\)
Given that:
Distance = 5824 km
Time taken against the wind = 8 hours
Speed against the wind:
\(u-v = \dfrac{5824}{8} \\\Rightarrow u-v = 728 ...... (1)\)
Time taken with the wind = 7 hours
Speed with the wind:
\(u+v = \dfrac{5824}{7} \\\Rightarrow u+v = 832 ...... (2)\)
Adding (1) and (2):
\(2u=1560\\\Rightarrow u = 780\ km/hr\)
By equation (1):
\(780-v=728\\\Rightarrow v = 52\ km/hr\)
Speed of plane in still air = 780 km/h
Speed of air = 52 km/hr
Write the equation of the line with a slope of 3 that passes through the point (4, 1).
Answers
Answer:
Step-by-step explanation:
y - 1 = 3(x - 4)
y - 1 = 3x - 12
y = 3x - 11
Answer:c
Step-by-step explanation:
what is -6p - 3 = 9 plz help quick
Answers
Answer:
p=-2
Step-by-step explanation:
-6p-3=9
-6p-3+3=9+3
-6p=12
(Now divide both by -6.)
your answer is: p=-2
Given the points A: (-5,1,4) and B: (3,-1,6), find the vector ä = AB
Answers
Therefore, the vector ä = AB is (8, -2, 2). To find the vector ä = AB, we simply subtract the coordinates of point A from the coordinate
To find the vector AB (also denoted as vector ä) between the points A (-5, 1, 4) and B (3, -1, 6), we need to calculate the difference between the coordinates of point B and point A. This can be done using the formula: AB = (Bx - Ax, By - Ay, Bz - Az).
Using the given coordinates, we have:
Ax = -5, Ay = 1, Az = 4
Bx = 3, By = -1, Bz = 6
Now, we'll apply the formula to find the components of vector AB:
ABx = Bx - Ax = 3 - (-5) = 8
ABy = By - Ay = -1 - 1 = -2
ABz = Bz - Az = 6 - 4 = 2
So, the vector AB (or vector ä) is given by:
AB = (8, -2, 2)
Thus, the vector connecting points A and B has components (8, -2, 2).
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-6(a+8)
simplify the expression with distributive property
Answers
Answer:
-6(a+8) simplified using distributive property would equal -6a+-120
Step-by-step explanation:
What else would need to be congruent to show that abc xyz by asa
Answers
ASA means angle side angle. Hence two angles and the side in between them have to be congruent.
Ex: angle X = angle A, angle Y = angle B, and side XY = side AB
X=A
Y=B
Z=C
keep that in mind as you state the congruence. since Z=C and Y=B, side ZY would have to equal side CB, not a different side.
How do you estimate a scatter plot?
Answers
Answer:
Step-by-step explanation:
1.Collect pairs of data where a relationship is suspected.
2.Draw a graph with the independent variable on the horizontal axis and the dependent variable on the vertical axis. ...
3.Look at the pattern of points to see if a relationship is obvious. ...
4.Divide points on the graph into four quadrants.
Tasha is a single taxpayer. She has $90,000 in ordinary taxable income and $12,000 in capital gains on an investment she held for six years. Use the tables to complete the statement. Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 The tax rate Tasha will pay on her investment income is %.
Answers
Answer: 15%
Step-by-step explanation:
I hope this helps,
have an wonderful Day!
The tax rate Tasha will pay on her investment income is 15%.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Ordinary taxable income= $90,000
Capital gains= $12,000
Now,
The tax rate Tasha will pay on her investment income depends on her ordinary taxable income and the tax brackets for qualified dividends and long-term capital gains. Since Tasha’s ordinary taxable income is $90,000, she falls in the 15% tax bracket for her investment income.
Therefore, by the percentage the answer will be 15%.
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Calculate the output for the function with the given input, explain why not.
Answers
Answer:
see explanation
Step-by-step explanation:
Firstly, dividing by zero is undefined.
given
f(x) = \(\frac{x}{x-1}\) , then
f(1) = \(\frac{1}{1-1}\) = \(\frac{1}{0}\) = undefined
Need help please answer
Answers
I need help please:)
Answers
Answer:
all values of x make the equation true
Step-by-step explanation:
Kendra's working is correct. The equation is a tautology. It is true for all values of x.
Teachers receive 30% educators discount at a museum. An adult ticket costs $24. How much would a teacher pay for admission into the museum?
Answers
Answer:
$16.80
Step-by-step explanation:
0.30 × 24 = 7.20
24 - 7.20 = $16.80
Hope that helps.
A caterer charges $250 for 10 meals. They charge the same amount of money for each meal. Which table represents the relationship between the number of meals the caterer prepares and the amount of money they charge?
Number of meals Amount charged (dollars)
10 $250
11 $260
12 $270
13 $280
Number of meals Amount charged (dollars)
9 $250
10 $250
11 $250
12 $250
Number of meals Amount charged (dollars)
5 $50
10 $100
15 $150
20 $200
Number of meals Amount charged (dollars)
2 $50
4 $100
6 $150
8 $200
Answers
The table that represents the relationship between the number of meals the caterer prepares and the amount of money they charge is:
2 $50
4 $100
6 $150
8 $200
What is the cost of one meal?In order to determine the correct answer, the average cost of the meal has to be determined.
Average cost = $250 / 10 = $25
Cost of 2 meals = $25 x 2 = $50 Cost of 4 meals = $25 x 4 = $100Cost of 6 meals = $25 x 6 = $150Cost of 8 meals = $25 x 8 = $200Delilah needs to design boxes with a volume of 21x^{2} +14x-35. The dimensions of the product within the boxes restrict the length of the boxes to 7 and the height of the boxes to x-1. What will be the width of the boxes?
a) 3x^{2}+2x-5
b) 2x+35
c) 2x-35
d) 3x-5
e) 3x+5
Answers
Answer:
(e) 3x +5
Step-by-step explanation:
You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.
FactorsThe volume can be factored as ...
21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)
The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.
The width of the boxes is 3x +5.
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What is the measure of
Angles are not necessarily drawn to scale.
Answers
Answer: 58
Step-by-step explanation:
180-114= 66
66+56=122
180-122= 58