Median is the middle data in the list of the given numbers. In the given data set the median gets decreased by the presence of the outlier. Thus, option C is correct.
What is an outlier?An outlier is a data that varies significantly from the other data set, due to some error or measuring variability.
The median of the data without outlier is calculated as:
First, data is arranged in the ascending order: 105, 108, 109, 113, 118, 121, 124
Median = [tex]\rm \dfrac{7 + 1 ^{th}}{2} term[/tex]
= 4th term
= 113
The median of the data with outlier is calculated as:
First, data is arranged in the ascending order: 61, 105, 108, 109, 113, 118, 121, 124
Median = [tex]\rm \dfrac{(\dfrac{8}{2})^{th} + (\dfrac{8}{2} + 1)^{th}} {2}[/tex]
= (109 + 113) ÷ 2
= 111
Therefore, the outlier decreased the median.
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Answer:
c. The outlier made the median lower than all the other values.
Explanation:
30 points and I'll mark brainlist
Think about the benefits of each type of federal student loan and then discuss how you feel about taking out student loans to pay for college. Consider the options that you have for funding your education besides taking out loans.
Answer:
Federal student loans generally have lower interest rates than private loans. Rates for new federal loans are also fixed, meaning they'll stay the same during your entire loan term. Private loans frequently offer variable rates, which increase whenever the Federal Reserve raises the interest rate benchmark.
Amira has a pyramid shaped plant pot. it has a square base with a side length of 30\text{ cm30 cm30, start text, space, c, m, end text, and the height of the pot is 30\text{ cm30 cm30, start text, space, c, m, end text.
If the height is 30 cm and the base length is 30 cm. Then the volume of the square pyramid will be 9000 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Amira has a pyramid-shaped plant pot. it has a square base with a side length of 30 cm and the height of the pot is 30 cm.
Then the volume of the square pyramid will be
V = 1/3 x area of base x height
Area of base = 30²
Height = 30
Then we have
V = 1/3 x 30² x 30
V = 9000 cubic cm
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A company has a property tax bill for $6,000 this year. it expects property values to rise by 8% each year, which will increase the property tax bill by 8% each year. to the nearest dollar, what is the expected amount of property taxes the company will pay for this year and the upcoming three years?
Explanation:
you have to multiply 8% by 6000 then you will get your answer
Answer:
C. $27,037
Explanation:
Altitudes $\overline{ad}$ and $\overline{be}$ of acute triangle $abc$ intersect at point $h$. if $\angle ahb = 128^\circ$ and $\angle bah = 28^\circ$, then what is $\angle hca$ in degrees?
The Angle HCA is equal to 52°. This is arrived at using the knowledge of the Total value of Angles in a Triangle and the Total Value of Angles in a Polygon.
What other principles were used to arrive at the answer?
The other principles of mathematics that were used to arrive at the above answer are:
Total Angles on a straight line; Total Angles on a point; and Line segments.What are the Steps to the Solution?Step 1 - Recall that we have been given Angles AHB and BAH to be 128° and 28° respectively.
We also know that:
The sum of angles in a triangle is 180°;...................AThe sum of angles on a straight line is 180°;.........BThe sum of angles in a polygon is 360°; while.....CThe total sum of angles at a point is 360°.............DSince A...therefore:
When ∠AHB (128°) and ∠BAH are taken from 180° we have DBA = ∠28°.
By observation, we can deduce that ∠BDE, ∠CDH, ∠CEH and ∠AEH are all right-angled triangles.
Using the above, we are able to repeat this process of solving for each angle until we have ∠HCA.
To verify that our answer is correct, recall that sum of angles in a polygon is 360°
That means:
∠BDA + ∠DHE + ∠CEH + ∠HCA = 360°
That is, 90+ 128 + 90 + 52 = 360°
See attached images and;
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which equation represents a line that passes through (5 1) and has a slope of
The equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?The equation of a line is given as:
[tex]\rm y=mx+c[/tex]
The equation for the point on slope line is given as:
[tex]\rm (y-y_0)=m(x-x_0)[/tex]
Substituting the given values and the slope:
[tex]\rm (y-1)=\dfrac{1}{2}(x-5)[/tex]
Thus, the equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
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The two products that are formed when a solution of hno3 and a solution of naoh react are water and nano2. nano3. nahno. nahno3.
Answer:
NaNO3
Explanation:
:)
Which expression is equivalent to (2x + 9)² - (x-7)?
Answer:
[tex]\boxed{\bf B. \: 4 {x}^{2} + 35x+88}[/tex]
Explanation:
In order to find what expression is equivalent to (2x + 9)² - (x-7), we'll use the binomial theorem (a+b)^2 =a^2+2ab+b^2 to expand (2x+9).
[tex]\bf 4 {x}^{2} +36x+81 - (x - 7)[/tex]
[tex]\bf 4 {x}^{2} +36x+81 - x+7[/tex]
Let's combine like terms. 36x + (-x) = 35x
[tex]\bf 4 {x}^{2} + 35x+81+7[/tex]
Add numbers. 81 + 7 = 88
[tex]\bf 4 {x}^{2} + 35x+88[/tex]
Therefore, our answer is Option B.
«•••••••••«••»•••••••••••»
The professor informs the class that there will be a test next week. what is the probability that a randomly selected student studied for the test if they pass it with a b or higher? 0.20 0.55 0.60 0.80
The probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade is: D. 0.80.
How to calculate the probability?In this exercise, you're required to determine the probability that students who were randomly selected studied for the test, if they pass it with a B or higher grade. Thus, we would apply Bayes's theorem.
Let S represent studied for.Let B represent a score of B or higher gradeTherefore, we need to find P(S|B):
[tex]S|B = \frac{B|S \times S}{B|S \times S\; +\; B|S' \times S'} \\\\S|B = \frac{0.55 \times 0.6}{0.55 \times 0.6 \;+ \;0.2 \times 0.4}\\\\S|B =\frac{0.33}{0.33 + 0.08} \\\\S|B =\frac{0.33}{0.41}[/tex]
S|B = 0.80.
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Complete Question:
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
Harry is solving the linear equation 16 + 2x - 11 = 9x + 5 - 7x . His final two steps are: 5 + 2x = 2x + 5 5=5
The final two steps of Harry as described in the task content are very correct.
How to solve linear equation?According to the task content;
It follows that the final steps of Harry's evaluation of the linear equation cam be identified as follows;16 + 2x - 11 = 9x + 5 - 7x
16 - 11 + 2x = 9x - 7x + 5
5 + 2x = 2x + 5
By cancelling out like terms of the variable; we have;
5 = 5
Therefore, the Harry's final two steps although in another form are very correct.
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What is one wish that may be expressed in a living will?
A. The wish to assign custody of children
O B. The wish to assign an executor
O C. The wish to become an organ donor
O D. The wish to distribute assets
Answer: OD
Explanation:
Answer: C. The wish to become an organ donor
Explanation:
which type of evidence does schlosser use in this excerpt? anecdotal statistical testimonial analogical
The writing evidence in the excerpt that relates to the uncertainty is given as the analogical evidence.
What is the evidence?The evidence is given as the fact or the information that supports the opinion and the truth.
The evidence in the excerpt implies the use of the comparison of the known situation with the uncertain situation.
The type of writing evidence with the uncertainty is termed analogical evidence. Thus, option D is correct.
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Answer:
C on Edge2022
Explanation:
testimonial
*D is not correct on Edge!!
Initially, a ball has an angular velocity of 5.0 rad/s counterclockwise. sometime later, after rotating through a total angle of 5.5 radians, the ball has an angular velocity of 1.5 rad/s clockwise. what is the angular acceleration?
Explanation:
it is not necessary to know for this question, but FYI
1 rad = 180/pi = 57.29577951...°
in essence it describes the arc angle of the arc with the length = radius.
anyway,
we are only dealing with relative sizes here all expressed in radians.
the original spin rate or angular velocity is 5.0 rad/sec.
that means in 1 second it spins by 5 radians (a point on the surface moves by that many degrees).
remember, acceleration is speed/time or distance/time².
then we measure again - after the ball moved by a total angle of 5.5 radians. so, it was longer than 1 second.
so, how much time passed ?
time = distance / speed
5.5 rad / 5.0 rad /1 sec = 1 sec × 5.5 rad / 1×5.0 rad =
= 5.5 sec / 5.0 = 1.1 sec
so, the acceleration was
1.5 - 5.0 = -3.5 rad/(1.1 sec)² = -3.5 rad / 1.21 sec² =
= -2.892561983... rad/sec²
Read this sentence from ulysses by james joyce. pain, that was not yet the pain of love, fretted his heart. which word provides the best clue to the meaning of fretted?
Answer:
I think its Love or pain
Explanation:
you spin a spinner 48 times. out of the 48 trials, the pointer lands 6 times on section two. what is the experimental probability of the pointer landing on section two?
Answer: 21
Explanation: 6/48 = 21
why do some dystopias emphasize the use of misinformation?
Answer:
In dystopian literature, misinformation helps to keep inefficient and unfair systems in place because characters are convinced that they are efficient and fair. A final theme in dystopian literature is lack of individuality. One of the most striking images from The Handmaid’s Tale is the dress code.
Explanation:
hope this helps if not let me know
Which of these events inspired a greater emphasis on pluralism and multiculturalism in contemporary literature?
The civil rights movement was the event which inspired a greater emphasis on pluralism and multiculturalism in contemporary literature.
What is contemporary literature?Contemporary literature is defined as literature written after World War II through the current day.
The Civil Rights Movement of the 1950s and 1960s came about out of the need and desire for equality and freedom for African Americans and other people of color.
Hence, it was the event which inspired a huge population.
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The multiculturalism and pluralism in contemporary literature were greatly inspired by the civil rights movement.
What are pluralism and multiculturalism?Pluralism is the phenomenon that exists in the society where the minority groups get involved and participate with full capacity but the cultural and ethnic differences are still present.
Multiculturism is the simultaneous existence of diverse cultural, ethnic, and religious groups. These were greatly influenced when the civil rights moment was at its peak.
Therefore, the civil rights moment affected contemporary literature.
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Philosophical political ideas have changed since the founding of our constitution. which political party currently reflects the conservative voter's view? a) democratic b) independent c) libertarian d) republican
Answer:
d
Explanation:
I swear I've seen this question before answered
Answer:
A)democratic
Explanation:
I did the USA TEST PREP
If a concession owner pays $0.50 per pretzel, and it costs the owner $1.00 to have the pretzel prepared and served, what should the owner charge per pretzel if he wants cost to be 60% of the price?
The owner should charge an amount of $2.50 per pretzel, if the cost price of 60% is desired.
What is cost price?The cost borne by a producer to manufacture or produce such goods and sell them at a higher price is known as the cost price. In this case, the cost price if $1.50 per pretzel.
If such cost price is desired to be 60% of the selling price, then the selling price will be,
[tex]\rm Sell\ Price= \dfrac{Cost\ Price}{Desired\ Percentage}\ x\ 100\\\\\rm Sell\ Price= \dfrac{1.50}{60}\ x\ 100\\\\\rm Sell\ Price= \$2.5[/tex]
Hence, the selling price should be $2.5 if the desired cost price is 60% of the same.
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The setting sun in the painting and the gathering storm in the poem create a feeling of (5 points) tranquility despair hope stability
Answer:
B. Despair
Explanation:
This is the correct answer!
Based on the poem "The Lady of Shalott", we can infer that the setting sun in the painting and the gathering storm created a feeling of: B. despair.
What is an inference?An inference can be defined as a process through which a reader deduces the meaning of a word and information that are associated with a passage or poem, especially through induction.
Based on the poem "The Lady of Shalott", we can infer and logically conclude that the setting sun in the painting and the gathering storm created a feeling of despair.
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the table of values shows the height of a car of a ferris wheel
In which asian nation do the people play the greatest role in deciding who the rulers are and what decisions are made?
The basic unit of all living thigs is
Answer:
The basic unit of all living things is cells
Answer:
Explanation:
Answer: Cells
The basic unit of all living things is
Cells.
you should include detail like how fast he walked
Answer:
history the impact of pseudoscientific
You buy milk in 1-gallon containers. one portion of waffles requires 2 ounces of milk. how many portions can be made with one container?
Answer:
320 portions
Explanation:
There are 128 fluid ounces in a gallon. If you divide that by 0.4 you would get 320.
it was three o'clock. fueron las tres. son las tres. eran las tres. era las tres.
Answer:
son las trece
Explanation:
its right
which type of figurative language is included in this passage?
Answer:
1.) Similie
2.) Water
Explanation:
Edge 2022
note: enter your answer and show all the steps that you use to solve this problem in the space provided. a cone with a diameter of 8 inches and a height of 7 inches. find the surface area of the cone. use 3.14 for π .
Answer: 548.96
Explanation: first find the circumference of the circle in the cone: 8*8*3.14 = 200.96
next find the triangle's area: 8 * 7/2 = 348
then add together 200.96+348= 548.96
What is the critical angle for the interface between water and fused quartz? nquartz= 1.46, nwater= 1.33.
The critical angle for the interface between water and fused quartz is 1.097.
What is the critical angle?It is the greatest angle at which the ray of light travelling in a transparent medium can strike the boundary
By the formula of critical angle
[tex]\theta _C = arcsin( \dfrac {n_2}{n_1} )[/tex]
Given, n quartz is 1.46 and n water is 1.33.
Putting the value in the equation
[tex]\theta _C = arcsin( \dfrac {1.46}{1.33} ) = 1.097[/tex]
Thus, the critical angle for the interface between water and fused quartz is 1.097.
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What percentage of canadian forests are protected from economic activities? a. 8% b. 20% c. 50% d. 90% please select the best answer from the choices provided a b c d
Answer:
A 8
Explanation:
If audrey's home is worth $160,900, and is assessed at 60 percent of market value, what is her assessed valuation?
In this question, it is given that,
Audrey's home is worth $160,900 and is assessed at 60% of market value .
And we have to find Audrey's home assessed value .
And for that we have to find 60% of $160,900. That is 0.6 * 160900.
Therefore the assessed value of Audrey's home is $96450 . And that's the required answer .
