Answer:
when data has no outliers
When data has no outliers median should be used. Therefore, option B is the correct answer.
What is median of data?The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median. For a small data set, you first count the number of data points (n) and arrange the data points in increasing order.
An outlier is an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph or dataset you are working with.
When data has no outliers median should be used. Therefore, option B is the correct answer.
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Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
help asap
As x + 0, y →-00
The y-intercept of the graph is -1.
The graph has no relative minimum value.
the graph has a maximum value at x = 5.
The graph has a relative maximum value at x = -3.
As x + -00, y → -
Answer:
e
Step-by-step explanation:
Question 10 please help and show step by step working out
Answer:
P and Q must have some relation f their integers but it doesn't give a value
Step-by-step explanation:
Answer:
The answer is
\(8 + \sqrt{48} \)
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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i need help to solve this
Answer:
by solving the angles of triangles we get A= 35 degree
Answer:
how do i cancel i dont know this
Step-by-step explanation:
someone help plsss
bots will be reported
Answer:
B. 108
Step-by-step explanation:
a straight angle is 180 degrees.
180-72=108
25 POINTS!! (EASY)MORE POINTS!!!!!!! BRAINLIEST PLSSSSSSSSSSSSSSSSSSSHELP. For Brainliest Please help)
Find the numbers if-
A) 0.6of it is 30
B)1.5 of it is30
C)1.6 of it is 32
Answer:
A) 50
B) 20
C) 20
Step-by-step explanation:
To solve the first question, we can multiply both sides by 10.
Thus, we get:
6x = 300.
Then, divide by 6, to get x:
x = 50.
You can do the same thing to all of these questions.
I've already checked the answers, but if you don't trust them, just pluck the values in.
For example, let's check the answer for question A.
0.6*50 is supposed to equal 30.
Does it equal? Yes, so we know that the answer is correct.
4x+15 what is the value of X
Answer:
No solution
Step-by-step explanation:
4x+15 doesn't equal anything so it's impossible to solve.
Unless you forgot to add what it equals I can't solve it for you :(
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
State any excluded values of a domain and identify the type of break in the graph at the value of x
f(x)=x+7/x-2
Answer:
The excluded value in the domain is x = 2 because the denominator of the rational function becomes zero at this value of x, which results in division by zero.
At x = 2, there is a vertical asymptote, which means that the graph of the function approaches positive or negative infinity as x approaches 2 from either side.
A box was completely filled with 1000 small cubes. What is the volume of the box?
The volume of the box occupied by 1000 small cubes is 1000 m³
VolumeVolume is used to express the amount of three-dimensional space enclosed by a closed surface and shows the amount of space that a substance or object occupies.
Let us assume that:
Volume of the each box is 1 m³If the box was completely filled with 1000 small cubes, hence:
Volume of the box = 1000 box * 1 m³ per box = 1000 m³Hence the volume of the box occupied by 1000 small cubes is 1000 m³
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The solution to an inequality is represented by the number line.
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
How can this same solution be written using set-builder notation?
The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.
What is the set builder notation representation of the solution?It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.
And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.
The representation is therefore; {x: 3< x <=5}.
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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.
This is further explained below.
What does the answer look like when represented using set builder notation?Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.
And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.
As a result, the representation is written as:
"x: 3 x = 5."
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\(4g - 7c + 3g\)
simplify by combining like terms
Step-by-step explanation:
4g-7c+3g
7g-7c i hope this helps
Can you help me with this equation?
The linear function that relates y to x is given as follows:
y = -0.5x + 57.
The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.
How to define a linear function?
The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the table, when x = 0, y = 57, hence the intercept b is given as follows:
b = 57.
When x increases by 10, y decays by 5, hence the slope m is given as follows:
m = -5/10
m = -0.5.
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solve using a system of equations: ellen wishes to mix candy worth $1.70 per pound with candy worth $2.50 per pound to form 40 pounds of candy worth $2 per pound. How many pounds of the more expensive candy should she use?
Answer:
15 pounds
Step-by-step explanation:
let 'x' = $1.70 candy
let 'y' = $2.50 candy
System:
x + y = 40
1.7x + 2.5y = 40(2)
let 'x' = '40-y'
now substitute '40-y' for 'x' to get:
1.7(40-y) + 2.5y = 80
68 - 1.7y + 2.5y = 80
-1.7y + 2.5y = 12
0.8y = 12
y = 12/0.8
y = 15
check:
1.7(25) + 15(2.5) should equal 80
80 = 80
if you want to purchase a house in 5 years. you estimate its cost as 150,000 and you want to make a 20% down payment. how much do you need to save each month?
if you want to include closing costs of 5% with your down payment, how much additional money must you save per month?
Answer:
money to be saved each month in five years. Is 2000
If additional cost is added, you'll save extra 6000. I.e saving 100 per month.
Step-by-step explanation:
Let's get the value of the down payment first.
20% of 150000 =30000
So the remaining amount to be saved up to is 150000-30000= 120000.
This money is to be saved in 5 years monthly.
12 months in a year
12*5 =60 months on 5 years
So to know the actual money to be saved each month in five years.
120000/60= 2000
5% of 2000 = 100
100*60 = 6000
You'll save additional 6000 if closing costs is added
Answer: You need to save $500.00 a month
And an additional $125.00 for closing costs
1. $500.00
2.$125.00
Step-by-step explanation:
First find out how much you need to save in total
1. ($150,000)(.20)= $30,000
We need to save $30,000 for the down pay
Since there are 60 months in 5 years, we divide the $30,000 so we can split the cost!!
2. $30,000 ÷ 60 = $500
Each month we have to save $500 dollars to reach our goal of $150,000 in 5 years!
(Check your math)
$500×12(months in 1 year)= $6,000
$6,000×5(5 years to save)= $30,000!
For the second,
Closing costs are just your percentage multiplied by your total!!
1. ($150,000)(0.05)= $7,500
Now we divide it into 60, since like we mentioned above, there are 60 months in 5 years!
2. $7,000 ÷ $125.00
Each month we have to save an additional $125.00 each month when including closing costs!!
{Remember that to calculate the down payment to always move the decimal point twice to the left!! This will help you remember how to find the closing cost easier!!!}
The sum of x and y is 280. If x + 8 is y, when will the value of x be the same for both equations?
Answer:
x = 136, y = 144
Step-by-step explanation:
x+y = 280
y = x +8
use substitution
x + x+8 = 280
2x = 272
x = 136
y= 136+8 = 144
Answer:
the answer is x=136
Step-by-step explanation:
x + y = 280
x + 8 = y (substitute this expression for y)
x + (x + 8) = 280
2x + 8 = 280
2x = 272 -> x = 136
to find y:
x + 8 = y
136 + 8 = y
144 = y
CHECK:
136 + 144 = 280
yes
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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The size of the largest angle in a triangle is 3 times the size
of the smallest angle.
The third angle is 10° more than the smallest angle.
Work out the size, in degrees, of each angle in the triangle.
You must show your working (let x be the smallest angle).
Answer:
34˚, 102˚, 44˚
Step-by-step explanation:
Smallest angle=x
Largest angle= 3x
Third angle= x+10
180=x+(x+10)+3x
180=5x+10
170=5x
x=170/5=34
x=34
3x= 3×34=102
x+10=34+10=44
34, 102, 44
Let the smallest angle be X
We are given, X + 3X + X+10 = 180
X +3X + X+10 = 180
5X + 10 =180
5X= 170
X = 34
We got the smallest angle as 34 degrees
The largest angle is 3X which will be 3 × 34 = 102 degrees
the third angle will be 34 + 10 = 44 degrees
To see whether the answer is correct, add the three angles and they should give me the sum of 180.
44 + 34 + 102 = 180
Thus, the answer.
Convert from radians to degrees.
1/4π
1/4π radians is approximately equal to 45 degrees.
To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.
Degrees = Radians × 180/π.
Therefore, to convert 1/4π radians to degrees, we have:
Degrees = (1/4π) × (180/π) ≈ 45°
Hence, 1/4π radians is approximately equal to 45 degrees.
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find the area of the shaded region. Note that the total radius from the center out to the edge of the shaded region is 8+3 = 11.
Given
The figure.
To find the area of the shaded region.
Explanation:
It is given that,
The radius of the whole circle is 11cm.
And, the radius of the small circle is 3cm.
Then,
The area of the shaded region is,
\(\begin{gathered} Area\text{ of the shaded region}=Area\text{ of the whole circle-area of smaller circle} \\ =\pi(11^2)-\pi(3^2) \\ =121\pi-9\pi \\ =112\pi \\ =112\times\frac{22}{7} \\ =351.85cm^2 \end{gathered}\)Hence, the area of the shaded region is 351.85cm^2.
My sister’s house is 1 2/4 times as high as my house. My house is 5 feet high. How high is my sister’s house?
Answer:
Sister's house is 7.5 feet high
Step-by-step explanation:
Given :
My house = 5 feet
Sisters house = \(1\frac{2}{4}\) \(times\) \(my \ house\)
= \(\frac{6}{4} \times 5\)
\(=\frac{30}{4}\\\\=\frac{15}{2}\\\\= 7 . 5 \ feet\)
Question 11: (Score: 10)
Britt bought a used bicycle for $250. He painted the bike; replaced the tires, chain, and
gear assembly; and sold the bike for 150% of the price he paid. For what amount, in
dollars, did he sell the bike?
Answer:
$375
Step-by-step explanation:
150/100×$250=
15/1×25=
$375
HELP PLEASE!!! Find an equation of a line through (√3,12) parallel to the line:
a) x= -9
and the line
b) y= -√7
Answer:
just put like what oh yea put 72
Find the answer please
Answer:
37, 51, 70
Step-by-step explanation:
a+b+c must equal 180 in a triangle
a+42+101=180
a= 37
a+39+right angle(90)=180
a=51
c=22
b=4*c = 4*22=88
a+b+c=180
a+88+22=180
a=70
The transformation shown here maps each point on the preimage up 5 and right 4A) translation B) reflection C) rotation
Recall that, in geometry, a translation simply means moving without rotating, resizing, or anything else.
To translate a shape every point of the shape must move in the same direction and with the same distance.
Since the given transformations only move the shape 5 units up and 4 units right, then it is a translation.
Answer: Option A.
deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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4. Calculate the volume of material used in making 100 ft of 4-in. type M, copper tubing.
Answer:
1443.3 in³ or 0.835 ft³
Step-by-step explanation:
Let's begin by listing out the given variables:
length (l) = 100 ft = 1200 in, nominal size = 4 in
From the copper tube of industry standard guide of the design and the installation of piping system, the dimension and physical characteristics of type M copper tubing of nominal size 4 inch is given as
Outer diameter (Do) = 4.125 in ⇒ ro = Do ÷ 2 = 2.0625 in, Inner diameter (Di) = 3.935 in ⇒ ri = Di ÷ 2 = 1.9675 in
calculate the volume of the pipe, we use the formula
V = π(ro² - ri²) * l
V = π(2.0625² - 1.9675²) * 1200
V = 1443.3 in³ or 0.835 ft³
Write algebraic expressions for two numbers with a sum of -17. Let one of the number be represented by x.
The algebraic expression is x + y = -17
Given,
The sum of two numbers = -17
One number = x
We have to write an algebraic expression for the above condition:
Algebraic expression
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
So, let’s find the algebraic expression:
Given that one number is x. We can take other number as y.
So, the expression will be like:
x + y = -17
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A field of grass feeds 28 cows for 6 days. How many days would the same field feed 21 cows?
Answer:
Step-by-step explanation:
28 cows × 6 days = 168 cow-days
(168 cow-days)/(21 cows) = 8 days
If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.
How to calculate number of days?This question involves the use of inverse proportion to solve.
According to this question, a field of grass feeds 28 cows for 6 days. The number of days it would take 21 cows is calculated as follows:
28 cows is fed for 6 days
21 cows will be fed for (28 × 6) ÷ 21 = 8 days.
Therefore, If a field of grass feeds 28 cows for 6 days, the number of days that the same field would feed 21 cows is 8 days.
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