The value (4.5, 98) is the outlier in the table which shows the number of hours spent studying for a history final exam and the score on that exam.
What is an Outlier?An outlier is a data point or observation that significantly deviates from the general pattern or trend of the dataset. It is an observation that is abnormally far from other population or sample values. Outliers can occur in one-dimensional data, such as a single variable, or in multi-dimensional data with multiple variables.
The data is given as
hours studied, x percentile ranking on the test y
1.5 65
2 68
3.5 71
4.5 98
4.5 82
6 84
6.5 88
7 85
7 80
Based on the plot, we can see that the point (4.5, 98) is significantly distant from the other points. It is much higher in the y-coordinate (exam score) compared to the other values.
Therefore, the value (4.5, 98) is the outlier in the table.
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DESCRIBING A TRANSLATION
Describe the translation of the point to its image
(3,-2) (1,0)
The translation of points (3,-2) → (1,0) is 2 units up and 2 units left.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the coordinate (3,-2) transformed in coordinate (1,0)
Now,
3 + x = 1
x = -2
It means graph shift 2 units left.
Now,
-2 + y = 0
y = 2
It means the graph shifts 2 units up.
Hence "The translation of points (3,-2) → (1,0) is 2 units up and 2 units left".
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A researcher is 95% confident that the interval from 2.9 minutes to 6.83 minutes captures u = the true mean amount
of time mice take to complete a maze for a piece of cheese.
Is it plausible that the true mean number of times for all mice to complete this maze may be less than 7 minutes?
No, this is not plausible for the population mean because 7 minutes is within the 95% confidence interval.
O No, this is not plausible for the population mean because 7 minutes is not within the 95% confidence interval.
Yes, this is plausible for the population mean because 7 minutes is not within the 95% confidence interval.
O Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below
7 minutes
Answer:
Answer is d.
Step-by-step explanation:
edg 2020
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.
Answer:
we know
perimeter of triangle = sum of all sides
here lengths of sides are consecutive integers so
length of three sides = x, (x+1) and (x+2)
now
Perimeter = 111
or, x + (x+1) + (x+2) = 111
or 3x + 3 = 111
or 3x = 108
x = 36
x = 36
(x+1) = 36 + 1 = 37
(x+2)= 36 + 2 = 38
Point A (−3,4) and point C is at (2,−6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5.
Answer:
(-7/9, -4/9)
Step-by-step explanation:
i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL
Hope do will on what you are doing :)
If you want you can give me brainliest, it helps me a lot
have a good day :)
Answer:
I got (1,-4) on my Khan
Step-by-step explanation:
A uniform distribution is defined over the interval from 2 to 5.
What is the range of the random variable, x?
Over the range, what is the probability of the random variable, x?
What is the area of this uniform distribution?
The probability of x within this range is constant and equal to 1/3. The area under the uniform distribution curve is 1.
The range of the random variable, x, in a uniform distribution from 2 to 5 is [2, 5]. It represents the entire interval of possible values for x.
The probability of the random variable, x, in a uniform distribution is constant over the range. Since it is a uniform distribution, the probability density function is equal for all values within the range. Therefore, the probability of x taking any specific value within the range [2, 5] is the same, and it is given by 1 divided by the length of the range:
Probability of x = 1 / (length of range)
= \(P(x) = \frac{1}{5 - 2} = \frac{1}{3}\)
The area of the uniform distribution is represented by the probability density function over the range. Since it is a uniform distribution, the probability density is constant within the range. Therefore, the area under the curve is equal to the length of the range multiplied by the constant probability density:
Area = (length of range) * (probability density) = (5 - 2) * (1 / (5 - 2)) = 3 * (1 / 3) = 1.
Hence, the area of the uniform distribution is 1.
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Latoya builds a border for her strawberry plot, which is shaped like a square. All the sides measure 5 feet. How many feet of border does she need to buy?
The amount of feet of border that she needs to purchase is given as follows:
20 feet.
How to obtain the perimeter of a square?The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:
P = 4s.
All the sides measure 5 feet, hence the parameter s is given as follows:
s = 5.
Then the perimeter of the square plot is given as follows:
P = 4 x 5
P = 20 feet.
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Could you help me with these two questions? 20 points !
1 ) Create an equation in point-slope form that has a slop of 5 passing through the points (3,5)
2) Create an equation in point slop form that has a slop of 2 and passes through the points (-1, 6)
The equation of line are given as y = 5x - 10 and y = 2x + 8 respectively
Point-Slope FormulaThe point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The equation of a line is an equation that is satisfied by each and every point on the line. This means that a linear equation in two variables represents a line. The equation of a line can be found through various methods depending on the available information.
In this case, we have can proceed to write the equation of a straight line which is given as y = mx + c
m = slopec = y-interceptLet's find the y - intercept and write the equation.
y = mx + c
5 = 5(3) + c; c = 5 - 15 = -10
y = 5x - 10
2) We have the slope as 2 and the points are (-1, 6)
The equation of the line can be written in form of y = mx + c
6 = 2(-1) + c
6 = -2 + c; c = 8
The equation is given as y = 2x + 8
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round 73.03 to the 1 decimal place
Answer:
The answer is 73.0 or just 73
Parking Lot Design. A rectangular parking
lot is 50 ft longer than it is wide. Determine the
dimensions of the parking lot if it measures 250 ft
diagonally.
The dimensions x and x+50 are 150 ft by 200 ft. When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.
How to calculate the dimensions of the parking if it measures 250 ft diagonally?When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.
If you draw a diagonal, you have 2 right triangles, each with leg lengths of x and x + 50.
The diagonal is the hypotenuse, h = 250
Using Pythagorean theorem:
X² + (x+50)² = 250²
x² + x²+ 100x + 2500 = 62500
2x²+ 100x - 60000 = 0
All are even, so factor out a 2:
x² + 50x - 30000 = 0
From quadratic equation: x = [-50±√(50²-4(1)(-30000))]/(2(1))
x = (-50 ± 350)/2
We can disregard the negative so
x = (-50 + 350)/2 = 300/2 = 150 ft
The dimensions x and x+50 are 150 ft by 200 ft
The complete question is: A rectangular parking lot is 50ft longer than it is wide. Determine the dimensions of the parking lot if the diagonal distance from corner to corner of the lot is 250ft.
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Need help ASAP! Please show the work, tysm if you help you're a life saver.
Answer:
Working is attached below with answers.
Applying Basic Probability Rules
The probability model shows the distribution of flavors of a chewable multivitamin.
Cherry
Strawberry
0.27
0.25
Flavor
Lemon
Orange
Probability
0.28
Suppose you select a multivitamin from the bottle without looking. Find each probability. Enter your answers as
decimals rounded to the hundredths place.
0.20
Answer:
0.75
Step-by-step explanation:
P (Cherry or Orange)
0.27 + 0.20 = 0.47
P (Not Strawberry)
0.27 + 0.28 + 0.20 = 0.75
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2
The inequality represented by the graph is; B: y > 3x + 2
How to Interpret Inequality Graphs?
We are told that the line goes through the coordinates;
(-3, -7) and (0, 2)
Now, formula to find the slope is;
m = (y2 - y1)/(x2 - x1)
m = (2 - (-7))/(0 - (-3))
m = 9/3
m = 3
Since it's a dashed straight line and everything to the left is shaded, then it means that the inequality represented by the graph is;
y > 3x + 2
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Answer:
B
Step-by-step explanation:
edge 23
K is the midpoint of JL
J
K
L
If:
JK = 5x-2 and
KL = 9x - 30
Find JL.
Answer:
14x+32
Will be the Answer of this question
Isn't it?
Answer: 14x-32
Step-by-step explanation:
JL = JK+KL
JL = 5x-2+9x-30
JL = 14x-32
what is the answer to 8m+95<−87m+5
Answer:
The answer is
8m+95<-87m+5 the answer will be 103>92 103 is the answer
Jane thought of a number. She added 26 to it, then subtracted 31, and then added 45. Then Jane subtracted 29 and got 44. What was her number?
the is cStep-by-step explanation:
carlos es un arquitecto y esta construyendo una casa si ha construido 3/7 de la casa le falta para acabarla es lo mismo que llegar a 7/7
Answer:
Ok, sabemos que Carlos ha construido un 3/7 de una casa.
Queremos saber cuanto le falta para terminar de construirla.
Entonces podemos realizar el cálculo:
1 casa - lo que Carlos ya construyo = Lo que le falta.
Entonces:
1 casa - 3/7 de una casa = X
Podemos reescribir:
1 casa = 7/7 de una casas
así tenemos:
7/7 de una casa - 3/7 de una casa = X
(7/7 - 3/7) de una casa = X
4/7 de una casa = X
Así podemos concluir que a Carlos le falta construir 4/7 de una casa para acabar.
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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Please give me the answer and why
Answer:
1 black
Step-by-step explanation:
one more black to reach 3:2
Which shape is a parallelogram with 4 right angle? 50 points
Answer: Square
Step-by-step explanation:
A square has 4 parallel sides and has 4 90 degree angles
A 22-year old college student sets up an IRA (individual retirement account) with an APR of 6%. They deposit $55 into the account each month and plan on retiring at age 65. (Simplify your answers and round to two decimal places.) a. The IRA will contain at retirement.
The IRA (individual retirement account) of a 22-year-old college student, who deposits $55 into the account each month, will have a total balance at retirement. To calculate this, we need to consider the time period, the monthly deposit, and the annual percentage rate (APR).
The student plans on retiring at age 65, which means the IRA will have 65 - 22 = 43 years to grow. Since the student deposits $55 each month, we can calculate the total number of deposits over the 43-year period: 43 years * 12 months/year = 516 deposits.
To calculate the total balance at retirement, we need to consider the growth of the account due to the APR. The annual growth rate is 6%, which can be expressed as 0.06 in decimal form. To calculate the monthly growth rate, we divide the annual growth rate by 12: 0.06/12 = 0.005.
Using the formula for the future value of an ordinary annuity, we can calculate the total balance at retirement:
FV = PMT * [(1 + r)^n - 1] / r
Where:
FV = future value (total balance at retirement)
PMT = monthly deposit ($55)
r = monthly interest rate (0.005)
n = number of deposits (516)
Plugging in these values into the formula:
FV = 55 * [(1 + 0.005)^516 - 1] / 0.005
Calculating this equation, the IRA will contain $287,740.73 at retirement.
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A small country consists of four states: A, B, C, and D. The population of each state is given in the following table. The country's legislature is to have 200 seats. State А B с D Population 1,300,000 3,400,000 17,500,000 19,500,000 (a) Express each state's population (and total population) in terms of millions. State А B D Total Population (millions) 1.3 3.4 17.5 19.5 41.7 (b) Find the standard divisor, and round it off to two decimal places. x (c) Find each state's standard, lower, and upper quotas. (Round your standard quotas to two decimal places.)
The standard divisor for the country's legislature is approximately 208.50.
What is the rounded standard divisor for the legislature?The standard divisor is a key value used in apportionment calculations to determine the number of seats each state should receive in a legislature.
It is obtained by dividing the total population of the country by the total number of seats in the legislature. In this case, the total population is 41.7 million (the sum of the populations of all four states) and the total number of seats is 200.
To find the standard divisor, we divide 41.7 million by 200, which gives us 208,500. However, we need to round it off to two decimal places, as specified. Therefore, the rounded standard divisor is approximately 208.50.
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Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Please look at the picture I have been stuck on this question and I would really appreciate it if you can help me thank you
Answer:
52 feet
Step-by-step explanation:
distance is 6 from the question
6 = 5/6 √h
6/5 (6) = √h
36/5 = √h
7.2 = √h
7.2x7.2 = h
h = 51.84
this is Apx huh?
Find parametric equations for the line passing through (0,0,1) and parallel to the line passing through (3,1,5) and (1,−1,2). Use symbolic notation and fractions where needed.) x : y= z=
the parametric equations for the line passing through (0,0,1) and parallel to the line passing through (3,1,5) and (1,-1,2) are:
x = 0 - 2t
y = 0 - 2t
z = 1 - 3t
where t is a scalar parameter.
To find the parametric equations for the line passing through (0,0,1) and parallel to the line passing through (3,1,5) and (1,-1,2), we can follow these steps:
1. Find the direction vector for the line passing through (3,1,5) and (1,-1,2):
Let v be the vector from (3,1,5) to (1,-1,2):
v = <1-3, -1-1, 2-5> = <-2, -2, -3>
So, the direction vector for the line passing through (3,1,5) and (1,-1,2) is:
d = <-2, -2, -3>
2. Since we want a line parallel to d passing through (0,0,1), we can use the point-direction form of a line:
r = r_0 + td
where r_0 is the point (0,0,1) and t is a scalar parameter.
So, the parametric equations for the line passing through (0,0,1) and parallel to the line passing through (3,1,5) and (1,-1,2) are:
x = 0 - 2t
y = 0 - 2t
z = 1 - 3t
where t is a scalar parameter.
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using long division what is 238 divided by 11
Answer:
21
7 Remainder
Step-by-step explanation:
1 1 ⟌ 2 3 8
0
1 1 ⟌ 2 3 8
0
1 1 ⟌ 2 3 8
0
0
1 1 ⟌ 2 3 8
- 0
2
0
1 1 ⟌ 2 3 8
- 0
2 3
0 2
1 1 ⟌ 2 3 8
- 0
2 3
0 2
1 1 ⟌ 2 3 8
- 0
2 3
2 2
0 2
1 1 ⟌ 2 3 8
- 0
2 3
- 2 2
1 0 2
1 1 ⟌ 2 3 8
- 0
2 3
- 2 2
1 8
0 2 1
1 1 ⟌ 2 3 8
- 0
2 3
- 2 2
1 8
0 2 1
1 1 ⟌ 2 3 8
- 0
2 3
- 2 2
1 8
1 1
0 2 1
1 1 ⟌ 2 3 8
- 0
2 3
- 2 2
1 8
- 1 1
7
238 divided by 11 equals 21 with a remainder of 7.
To divide 238 by 11 using long division, we follow these steps:
Set up the division: Write 238 as the dividend and 11 as the divisor. Place the dividend inside the long division symbol and the divisor outside of it.
Begin dividing: Divide the first digit of the dividend (2) by the divisor (11). The quotient is 0 since 2 is less than 11.
Bring down the next digit of the dividend (3) and place it after the 0. We now have 23.
Divide 23 by 11. The quotient is 2 as 11 goes into 23 two times.
Multiply the divisor (11) by the quotient (2) and subtract the result from 23:
23 - (11 x 2) = 23 - 22 = 1
Bring down the next digit of the dividend (8). We now have 18.
Divide 18 by 11. The quotient is 1 as 11 goes into 18 one time.
Multiply the divisor (11) by the quotient (1) and subtract the result from 18:
18 - (11 x 1) = 18 - 11 = 7
There is no more digit to bring down, so we have completed the division. The final remainder is 7.
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a sphere has a radius of 6 units. if the radius is tripled, by what factor does the volume increase?
Answer:
Original volume = (4/3)π(6^3) = 288π
New volume = (4/3)π(18^3) = 7,776π
7,776π ÷ 28π = 27
When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.
What is the volume of a rectangular prism 3 3/5 ft by 10/27 ft by 3/4 ft?
Answer:
1
Step-by-step explanation:
V = L * W * H
Measurements given:
\(V = \frac{18}{5} *\frac{10}{27} *\frac{3}{4}\)
\(V=\frac{4}{3}*\frac{3}{4}\)
\(V=1\)
Sarah can make 4 cards in 60 minutes. At this rate, how many cards will she make in
300 minutes?
Answer: 20 cards.
Step-by-step explanation: If Sarah can make 4 cards in 60 minutes, then she can make 1 card in 60/4 = 15 minutes.
Therefore, in 300 minutes, she can make 300/15 = <<300/15=20>>20 cards.
If v1 = [-2 3] and v2 = [3 2] are eigenvectors of a matrix A corresponding to the eigenvalues lambda Lamda1 = -4 and lambda Lamda2 = 3, respectively, then A(v1 + v2) =
A(v1 + v2) = [56, 7].
We are given that the eigenvectors of the matrix A are v1 = [-2, 3] and v2 = [3, 2] and the eigenvalues of the matrix are λ1 = -4 and λ2 = 3 respectively.
To find the value of A(v1 + v2), we need to first find v1 + v2 and then substitute it into the equation A(v1 + v2).
So, v1 + v2 = [-2, 3] + [3, 2] = [1, 5]
Now, we can substitute this value into the equation A(v1 + v2) as follows:
A(v1 + v2) = A([1, 5])= A(1[-2, 3] + 5[3, 2])
Using the properties of matrix multiplication, this can be written as follows:
A(v1 + v2) = 1A[-2, 3] + 5A[3, 2] = -2A[1, 0] + 3A[0, 1] + 15A[1, 0] + 10A[0, 1]
Now, since v1 and v2 are eigenvectors of A, we know that A(v1) = λ1v1 and A(v2) = λ2v2
Substituting these values, we get:
A(v1 + v2) = -2λ1v1 + 3λ2v2 + 15v1 + 10v2 = -2(-4)[-2, 3] + 3(3)[3, 2] + 15[-2, 3] + 10[3, 2]= [56, 7]
Hence, A(v1 + v2) = [56, 7].
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