The interquartile range (IQR) of the given data set, is: upper quartile (Q3) - lower quartile (Q1) = 15.
What is the Interquartile Range (IQR) of a Data Set?The interquartile range (IQR) of a data set = upper quartile (Q3) - lower quartile (Q1).
Given the data set, {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}:
Upper quartile = 60
Lower quartile = 45
IQR = 60 - 45 = 15
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Orhan studied the relationship between temperature and sales of refreshments at the concession stands inside the football stadium. He wrote an equation for the linear function that relates temperature (x) and refreshment sales. (Y). Which of the following could be Orhan’s equation ?
A. y=3x^2+25
B. y^2=15x+40
C.=y=11x-55
D.y=x^3-135
The equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55
What is linear equation?Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
For this case, we see that the option C: y = 11x - 55 is such that each term is having at max one variable (therefore 1 degree) or no variable (therefore 0 degree).
Thus, option C represents a linear equation. Its graph is given below.
Option A has [tex]x^2[/tex] which is two degree, Option B has two degrees in y, and in Option D, there is x with three degrees.
Thus, the equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55
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Achieve $5,000 in three years at 3.5% simple interest
Answer:
Step-by-step explanation:
3.5% to a decimal is 0.035 because its divided by 100.
Add 1 to 0.035 because its a positive interest.
Multiply 5000 times 1.035
You get $5175
Hope this helps.
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
7 A formula for the relationship between a
person’s maximum heart rate, H, and the
person’s age, a, is shown below.
H = 217 2 0.85a
According to the formula, which of the
following is closest to Jasmin’s maximum
heart rate if she is 14 years old?
a 203
b 205
c 229
d 239
Answer:
b 205
Step-by-step explanation:
would be the closest answer.
Hope this hlepsss!
Will Mark brainlyest, offering max points: Which of the following quadratic functions does this graph represent?
Answer:
The quadratic formuls that this graph represents is: f (x) = -x 2 -2x +3
Have a nice day!
Question 16 of 21 Which graph shows the solution to this system of linear inequalities?
a.graph c
b.graph d
c.graph a
d.graph b
The answer is B as it is the only one that matches the 2 inequalities.
What is the greatest common factor of 48, 24, and 45?
Answer:
GCF=3Step-by-step explanation:
2|48,24,45 2|24,12,45 2|12,6,45 2|6,3,45 3|3,3,45 3|1,1,15 5|1,1,5 |1,1,1GCF=3 is my answerThe base of a triangle is 3 times its height the area of the triangle is 108 square inches what is the base? The height?
Answer:
324
Step-by-step explanation:
I think that 3x108 is 324 so I think the height is 324 and the base is 108.
Answer:
Base: 18cm
height: 12 cm
Step-by-step explanation:
Let the ratio be x
base = 3x height = 2x
area of triangle = 108
⇒ 21 ×2x×3x=108
⇒3x 2 =108
⇒x 2 =36
x=6
Base=3x=3×6=18cm
height=2x=2×6=12cm.
60 quarts equals how many gallons
Answer:
15 gallons
Step-by-step explanation:
Four quarts equals one gallon.
So 60 quarts divided by 4 quarts a gallon = 15 gallons.
Which equation can be solved by using this system of equations? startlayout enlarged left-brace 1st row y = 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 2nd row y = 4 x superscript 4 baseline 6 x cubed minus 11 endlayout 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 = 0 3 x superscript 5 baseline minus 5 x cubed 2 x squared minus 10 x 4 = 4 x superscript 4 baseline 6 x cubed minus 11 3 x superscript 5 baseline 4 x superscript 4 baseline x cubed 2 x squared minus 10 x minus 7 = 0 4 x superscript 4 baseline 6 x cubed minus 11 = 0
An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.
Given the following data:
y = 3x⁵ - 5x³ + 2x² - 10x + 4
y = 4x⁴ + 6x³ - 11
What is a system of equations?A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.
Equating the given equations, we have:
y = y
3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11
3x⁵ - 5x³ + 2x² - 10x + 4 - (4x⁴ + 6x³ - 11) = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 4x⁴ - 11x³ + 2x² - 10x + 15 = 0
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Find the missing angle - circle theorem
PLEASE HELP
Answer:
It has to be 40° or 55°, I think.
sorry if wrong.
Need help with this problem
I need help with both questions 20 points
Answer:
1st image
first box 180
second box 32
third box supplementary, I'm not sure about this one
fourth box 32
fifth box 63
2ed image
B
Step-by-step explanation:
second box first image 180-148=32
fifth box first image 85+32=117 180-117=63
Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLS
The y-intercept of the equation that represent the relationship between x and y in the table is -6
How to determine the y-intercept?From the table, we have the following highlight:
As the x values increase by 2, The y values increase by 3This means that:
As the x values decrease by 2, The y values decrease by 3From the table, we have:
x = 2 when y = -9
Decrease the values of x and y
x = 0 when y = -6
Hence, the y-intercept is -6
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How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many
Answer:
Zero
Step-by-step explanation:
Simplifying
12x + 1 = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(1 + 4x) + -2
1 + 12x = (1 * 3 + 4x * 3) + -2
1 + 12x = (3 + 12x) + -2
Reorder the terms:
1 + 12x = 3 + -2 + 12x
Combine like terms: 3 + -2 = 1
1 + 12x = 1 + 12x
Add '-1' to each side of the equation.
1 + -1 + 12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
0 + 12x = 1 + -1 + 12x
12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
12x = 0 + 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:
A.
Step-by-step explanation:
Reflect the triangle in the mirror line
( PROVIDE IMAGE FOR ANSWER )
What must be the measure of
Answer:
∠D = 90°
∠C = 80°
Step-by-step explanation:
∠D = 90° (right angle)
All right angles = 90°
∠C = 80° (sum of all angles = 360°)
110 + 80 + 90 + ∠C = 360°
280 + ∠C = 360
∠C = 80°
Answer:
∠D = 90°∠C = 80°
Step-by-step explanation:
∠D = 90° (right angle)All right angles = 90°∠C = 80° (sum of all angles = 360°)110 + 80 + 90 + ∠C = 360°280 + ∠C = 360∠C = 80°
literally help
The Arthur Ashe Tennis Stadium in New York has a seating capacity of 22,500 people. Of these seats, 1.11% are wheelchair-accessible seats. How many seats in the stadium are wheelchair accessible? Round
the nearest whole number.
Answer:
250
Step-by-step explanation:
1. convert from percentage to decimal
to do this, divide the percentage by 100
1.11 / 100 = 0.0111
2. multiply the decimal by the amount
decimal = 0.0111
amount = 22500
final answer = 0.0111 * 22500 = 249.75 ≈ 250
thus, 1.11 % of 22,500 = 0.0111 * 22500 ≈ 22500
A fast food restaurant offers delivery service anywhere within 6mile radius. What area does the restaurant delivery service cover? Round to the nearest square mile.
Answer:
113 miles
Step-by-step explanation:
To find the area from the radius, you can do
6^2=36
36*3.14=113.04
An aquarium is shown below. The directions state that the water should be exactly three inches below the top of the aquarium. What is the volume of the water in the tank?
Answer:
2496 is the volume
Step-by-step explanation:
The height of the tank is 13, the water level is 3 inches below that so the height of the water would be 10 (13-3 = 10)
volume = length x width x height:
Volume = 24 x 8 x 10 = 1,920 cubic inches
1 gallon = 231 cubic in.
1920/231 = 8.31 gallons
• Aisha has an agreed overdraft on her account
of £500.
• Currently, Aisha is £57 overdrawn on her
account and she is expecting a Direct Debit of
£165 to come out on 27th June.
• Aisha's salary of £1,112.00 will be credited to
her account on 30th June What will the
balance of the account be if Aisha does not
make any other transactions before her salary
is deposited?
Answer:
the one symbols are not explanation
Answer:
£890
Step-by-step explanation:
Has an agreed overdraft of £500, meaning upto 500 pounds over what is in the account is allowedShe is currently £57 overdrawn from her account and another £165 will be withdrawn (Current balance → -57 - 165 = -£222)Salary of £1,112 will be creditedRemaining balance = 1,112 - 222 = £890The distance between City A and City B is 500 miles. A length of 1.8 feet represents this distance on a certain wall map. City C and City D are 2.16 feet apart on this map. What is the actual distance between City C and City D?
Answer:
600 miles
Step-by-step explanation:
The actual distances between the cities are expected to be proportional to those on the map.
__
AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant
CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)
CD = 600 mi
The actual distance between City C and City D is about 600 miles.
Pls help! It's due soon and I'm a bit confused, offering 20 points :)
Answer:
here it bees
Step-by-step explanation:
After translation, M would be at (-2.2), N would be at (-2,-1), and O would be at (-4,-1).
Explanation:
To get you started, as it isn't too difficult, the first thing that you should do is write down the coordinates for each point.
As an example, I'll use point O which is located at (2,3).
The translation is [-6, -4], which simply means to translate your x-value left 6(as it is negative) and your y-value down 4.
In the case of O(2,3), your translated point would be at (-4,-1).
Hope this helps :)
what operation do you use to solve x/2=12
Answer:
x = 24
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
x = 2 × 12 = 24
multiplication .
Calculations ↓We need to use multiplication in order to get rid of the fraction and solve for x .
Remember that in mathematics we can't just get rid of fractions without altering the maths problem , so we multiply both sides by the denominator of the fraction , which is 2 .
x/2 = 12
[tex]\blue{\mathtt{x\:=\:24}}[/tex]
[tex]\small\text{hope\;helpful~}[/tex]
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answer:
3/5
Step-by-step explanation:
Sin = hypotenuse side / opposite side to the angle
then: Sin (C) = 30 / 50 = 3 / 5
Audrey is 4 years younger than her husband. Their total age is 154. What are their ages?
Answer: Audrey is 75 And husband is 79
Step-by-step explanation: A = H - 4
A + H = 154
Which expression is equivalent to (x superscript one-half baseline y superscript negative one-fourth baseline z) superscript negative 2?
Exponential equations are equation that contain powers or exponents in them. The simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]
Exponential functionsGiven the exponential function expressed as
[tex](x^{1/2}y^{-1/4}z})^{-2}[/tex]
According to the law of indices expressed as
[tex](a^m)^n= a^{mn}[/tex]
Applying this law to the given exponential equation, we will have:
[tex]=(x^{1/2}y^{-1/4}z})^{-2}\\=(x^{1/2})^{-2}(y^{-1/4})^{-2}(z})^{-2}\\=x^{-1}y^{1/2}z^{-2}[/tex]
Using the inverse law;
[tex](x^{1/2}y^{-1/4}z})^{-2}=\frac{1}{x}\sqrt{y}\frac{1}{z^2}\\ (x^{1/2}y^{-1/4}z})^{-2}=\frac{\sqrt{y}}{xz^2}[/tex]
Hence the simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]
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HELP PLEASE!!!
A composite figure is a _____.
A. trapezoid
B. figure made up of 2 or more basic shapes
C. figure that is 1/2 of another shape
D. figure made up of 3 or more basic shapes
Answer:
B. figure made up of 2 or more basic shapes
hope this helps :)
Answer:
b.
Step-by-step explanation:
I took the test, hope it helps :)
image below i will give brainliest
Answer:
60 degrees
Step-by-step explanation:
First of all, we have to set up an equation to solve this. The angles of a triangle add up to 180 degrees. We need to find the internal angle of C, which would be 180-(10x-45).
For our equation, we can set 3x+4x+[180-(10x-45)] equal to 180.
Add like terms:
7x+[180-(10x-45)] = 180
Distribute:
7x+180-10x+45 = 180
Add like terms once again:
-3x+225 = 180
Subtract 225 on both sides:
-3x = -45
Divide by -3 on both sides:
x = 15
Plug in 15 for x in the value 4x:
<B = 60 degrees
A cone with heighth and radius r has volume V = n²h. If the cone has a height of 6 in. and volume V = 8rzx² + 24rx + 187, what is its radius r in
terms of x?
O A. r= 3x + 2
OB. r= 4x2 + 12x +9
C. r= 2x + 3
OD. r= (2x + 3)(2x - 3)
Answer:
C
Step-by-step explanation:
trust me bbg I know what I'm talking about
A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?
Answer:
12 eggs - 3 eggs = 9 eggs.
Step-by-step explanation:
Hope this helps
Answer:
3 are unbroken
Step-by-step explanation:
All but three break means 3 did not break