Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode
Outliers are usually large or very low values, and they always affect the mean of the dataset.
Also, they affect the range of the dataset.
The standard deviation is dependent on the mean of the dataset.
This means that, outliers would also have effects on the standard deviation.
However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.
Hence, the true options are mode and median
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5. How long will it take Debbie to save $4,000 for the down payment if she continues to add $75 every month?
Explain how you arrived at your answer.
Answer: 4.5 years or 54 months
Step-by-step explanation: Divide $4,000 by $75 a month to get 53.33 then round to 54. 54 months = 4.5 years.
What is 402.12÷0.01 per cubic inch?
402.12÷0.01 per cubic inch is written as \(40212 inch^{-3\) οr \(2.4538868 \times109 m^{-3\)
What dο yοu mean by cubic inch?Imperial units and US custοmary units bοth use the cubic inch as a measure οf capacity. The capacity οf a cube, which is equal tο 1/231 οf a US gallοn, has three lengths that are each οne inch lοng.
Given,
402.12÷0.01 per cubic inch
We can write the equatiοn as
40212 per cubic inch
Or \(40212/ inch{^3\)
Or, \(40212 inch^{-3\)
We knοw that 1 inch 0.0254 m
Then we can write the equatiοn as 2.4538868 × 109 m-3
Hence the cοrrect answer is \(40212 inch^{-3\) οr \(2.4538868 \times 109 m-3\)
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find the value ofnp for which the equation
(7P+1)X^2+(5P-1)X+P=1
Answer:
(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0
The quadratic will have equal roots it its discriminant = 0
In the ordered pair (2, 3), what is the x-coordinate? y-coordinate?
Answer:
2 = x- coordinate
3 = y coordinate
Step-by-step explanation:
REMEMBER: In an ordered pair, the x-coordinate always comes first.
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.
\(\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}\)
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1
please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840help will give brainliest asap!!
Answer:
C.
Don't have time for explanation... just trust me
Which of the following best describes the set of a complex numbers ?
Solution:
A complex number is in the form;
\(a+bi\)Where a and b are any real numbers and the value of i is
\(i=\sqrt{-1}\)Hence, the statement that best describes a complex number "A"
A $2,700 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account
Answer:
Step-by-step explanation:
67001
a gas tank which can hold a total of 41 liters contains only 5 liters of gas when the driver stops to refuel. If it takes 3 minutes to fill up the tank, what is the rate in liters per minute
Answer:
12 liters per minute.
Step-by-step explanation:
41litres-5litres=36
If 36litres are filled up within 3 min,how many litres will be filled within 1 min
1/3×36=12
=12 litres per min
What's the inverse of 3x+2
Answer:
The inverse is
y = 1 /3 x − 2 /3
Step-by-step explanation:
What is the domain of the given relation {(1,3), (0,4), (2,1)}?
Answer:
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Step-by-step explanation:
I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}
Just putting random wordsssss
Answer: -8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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I don't need help but I am giving the answer to everyone :) hope it helps
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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express 11/4 as a mixed number 11/4=8/4+3/4+2and 3/4
Answer:
11/4 is an improper fraction. 11/4 as a mixed number is 2 3/4 or 2.75, look below for further information.
Step-by-step explanation:
To change 11/4 (an improper fraction) into a mixed number, we need to the denominator (bottom number) by the numerator (top number).
11 / 4 = 2.75
We can then change the 2.75 into 2 and 3/4. Think of a dollar, how many quarters do you need to make a full dollar? Four, and what is the cost of one quarter? 25 cents. 75 divided by 3 is 25. So we can say that 3/4 is equivalent to the decimal 0.75.
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Please hurry need help, Answer choices-
A.9
B.-2
C.11
D.3
The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.
What is the numerical value of x?An angle bisector divided an angle into two equal halves.
From the diagram:
Line BD divides angle ABC into two equal halves.
Angle ABD = ( 3x - 7 ) degrees
Angle DBC = 20 degrees
Since angle ABD and DBC are equal haves;
Angle ABD = Angle DBC
Plug in the values:
( 3x - 7 ) = 20
Solve for x:
3x - 7 = 20
Add 7 to both sides:
3x - 7 + 7 = 20 + 7
3x = 27
x = 27/3
x = 9
Therefore, the value of x is 9.
Option A)9 is the correct answer.
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please help me find area
Answer:
whats the quetsion
Step-by-step explanation:
ded
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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What is the constant rate of change of the table below?
Answer:
35 miles/hour
Step-by-step explanation:
Divide any number of miles by the corresponding number of hours above.
70 miles / 2 hour = 35 miles/hour
Answer: 35 miles/hour
expand and simplify {3x+2}{x-1}
Answer:
{3x+2}{x-1} = 3x²-x-2
Step-by-step explanation:
The given expression is :
{3x+2}{x-1}
We can solve it as follows :
{3x+2}{x-1} = 3x(x)+3x(-1) +2(x) +2(-1)
= 3x²-3x+2x-2
= 3x²-x-2
So, the expand form of the given expression is 3x²-x-2.
please help asap no trolls will give brainliest!!!
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)
solve for x: x²/x-3=x+2/2x-5
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
help me with this question if you could
I only need help with the f(0)= the equation is above all the rest is filled in thank you
f(0) = -3
I believe, since the graph has a closed circle/point at (0,-3), f(0) should equal -3. Also, the graph 3x-3 has a domain of x>=0.
However, in terms of limits, the limit approaching x-->0 does not exist since the left and right limits do not equal one another.
Hope this helps.
Felix has a gross income of $16,500. He is filing as Single. What is his total tax due?
Therefore , the solution of the given problem of unitary method comes out to be Felix's overall tax due is $395.
Unitary method: What is it?The task can be finished by applying what was learnt, making use of this access to the world, and fusing all essential components from earlier researchers who used a certain methodology. If the required claim outcome materialises, the entity stated expression in the statement can then either be additionally discovered or both important processes will absolutely miss the expression.
Here,
The tax brackets and rates for single taxpayers are as follows, per the IRS tax tables for 2021:
=> 10% of taxable earnings between $0 and $9,950
=> 12 percent of taxable income between $9,950 and $40,525
=> 22% of tax-exempt income between $40,525 and $86,375
=> 24% of taxable income between $164,925 and $86,375
=> over $164,925 to $209,425 in taxable income, 32%
=> over $209,425 to $523,600 in taxable income, 35%
=> above $523,600 in taxable income, 37%
Felix's yearly gross income is $16,500, and in 2021, the single filer standard deduction is $12,550. His taxable income is thus:
=> $16,500 - $12,550 = $3,950
Felix is subject to 10% tax because his taxable income is less than $9,950. Thus, the amount of his tax is:
=> 10% of $3,950 = $395
Hence, Felix's overall tax due is $395.
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4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
Help please I’m so confused lol
Answer:
13
Step-by-step explanation:
Just substitute the x with a 4
4² - 4 + 1
16 - 4 + 1
12 + 1
What are the coordinates of point D?
Step-by-step explanation:
-3 in the horizontal (x) direction
-7 in the vertical (y) direction
(-3,-7)