The difference is quartiles 3 - quartiles 1 = 2.05 - 1.79 = 0.26
What is the difference of the first and third quartiles ?The first quartile (Q1) is the 25th percentile of a dataset, which separates the lowest 25% of the data from the rest. The third quartile (Q3) is the 75th percentile of a dataset, which separates the lowest 75% of the data from the highest 25%. To find the difference between Q1 and Q3, you would subtract Q1 from Q3.
In this specific dataset, you would need to sort the values first in increasing order:
1.61, 1.75, 1.79, 1.84, 1.96, 2.09, 2.11
The first quartile (Q1) is the median of the lowest half of the dataset, which is 1.79
The third quartile (Q3) is the median of the upper half of the dataset, which is 2.05
so the difference is Q3 - Q1 = 2.05 - 1.79 = 0.26
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How many liters of air are in a room that measures 11. 0ft×11. 0ft and has an 8. 00 ft ceiling? 1in. =2. 54cm (exactly); 1L=103cm3
The volume of air present in the room is 27410.7075 lt .
What is Volume ?The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.
The dimension of the room is 11*11*8 in feet.
so, 11 ft = 11 *2.54*12 = 335.28 cm
And, 8 ft = 8 *2.54*12 = 243.84 cm
Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]
In litre,
27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.
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2x - 3y = -7
y = 2x + 9
Please help me solve this step by step!! I believe this is substitution btw
To build a handicapped-access ramp, the building code
states that for every 1 inch of vertical rise in height, the
ramp must extend out 12 inches horizontally, as shown in
the diagram below.
*Show solving work on the sketch pad!*
(a) Set up your trig equation (before solving below):
(2 points)
hyp
1 opp
12
adj
Submit
(b) What is the angle of inclination, x, of this ramp, to the
nearest hundredth of a degree? (2 points)
85.22
4.76
85.24
4.78
Answer:4.76
Step-by-step explanation:
tan 0= opposite side/adjacent side
tan x = 1/12
x =tan-1 (1/12)
~~ 4.76 degrees
The angle of inclination x of this ramp is 4.76 degrees.
What is a right-angle triangle?'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'
According to the given problem,
Perpendicular = 1 inch
Base = 12 inches
Angle of inclination = x
We know,
tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]
⇒ tan(x) = [tex]\frac{1}{12}[/tex]
⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]
⇒ x = 4.76 degrees.
Hence, we can conclude, the angle of inclination is 4.76 degrees.
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What is the size of the augmented matrix for the linear system?
The augmented matrix, however, is a two-by-four matrix because it also contains the constants.
What do you meant by augmented matrix for the linear system?The augmented matrix will always include one additional column for every additional variable, and the same number of rows as there are equations. An easier technique to write a set of linear equations is to utilize enhanced matrices.
In an augmented matrix, two sides of the matrix are separated by a vertical line that serves as a representation of a succession of equal signs. The collection of linear equations, for instance, would be represented by the matrix. There is only ever one pivot in a column.
For (c): Three rows and four columns make up the augmented matrix of this system. As a result, it only has three pivot points at most. Thus, a pivot column cannot be represented by a single variable.
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Answer:
What is the size of the augmented matrix for the linear system?
B) 2x3
Identify the values for the elements in the augmented matrix:
a11 = 3
a12 = 7
a13 = 20
a21 = 1
a22 = -4
a23 = 9
Step-by-step explanation:
Which expression is the best estimate of the product 7/8 8 1/18
Answer:
7/8 is nearly 1, and 8 1/10 is obviously 8.1 (1/10), which is rounded to 8. So th expression that best estimates the products of those numbers is D, 1 * 8.
Step-by-step explanation:hope this helped
What’s the 2+2-7 pls I help thx
Answer:
-3
Step-by-step explanation:
2 + 2 - 7
\ /
4 - 7
\ /
-3
Answer:
-3
Step-by-step explanation:
Follow P.E.M.D.A.S from left to right.
1. A: 2+2=4
2. S: 4-7=-3
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary
Answer:
one real
Answer: 1
Step-by-step explanation:
Givens
a = 1
b = -4
c = 4
Discriminate
Discriminate = sqrt(b^2 - 4*a*c)
Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )
Discriminate = sqrt ( 16 - 16)
Discriminate = sqrt(0)
Discriminate = 0
That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2
That, given an array a of n integers, returns the smallest positive integer (greater than 0) that does not occur in a. For example, given a = [1, 3, 6, 4, 1, 2], the function should return 5
There is one way to implement a function in Python that takes in an array of integers and returns the smallest positive integer that does not occur in the array.
def smallest_missing_positive(a):
#Create a set to store the unique elements in the array
unique_set = set(a)
#Iterate through the positive integers starting from 1
for i in range(1, len(a) + 2):
#If the current integer is not in the set, return it
if i not in unique_set:
return i
This function first converts the input array into a set, which removes any duplicate elements. It then iterates through the positive integers starting from 1 up to the length of the array plus 2. For each integer, it checks whether it is in the set of unique elements from the input array. If it is not, the function returns that integer as it is the smallest positive integer that does not occur in the array.
For example, when the function is called with the input array [1, 3, 6, 4, 1, 2], it will return 5 as it is the first missing positive number.
You can also use a set and difference() method of set to check the missing elements from 1 to maximum element of array+1 and find the missing first one, this method is more efficient than the above one when the array is large.
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Can you help me with this
Answer: 1/4
Step-by-step explanation:
Method 1
this method only works when there is a visual graph, but you can oick 2 points. then go to the point farthest to the left ide of the graph. then count up to be on the same y coordinate as the other point. then count over to be on the same x point, hence 1/4 (up 1 over 4)
Method 2
You can also pick 2 points, and put them into this formula to find slope ([tex]\frac{x2-x1}{y2-y1} }[/tex] then you plug in so the point farthest left would be x1 and y1 and the other point would be y1 and y2 so when you plug in and solve you get 1/4
Answer:
Step-by-step explanation:
rise/run
=1/4
Given that a 19. 00 g milk chocolate bar contains 11. 50 g of sugar, calculate the percentage of sugar present in 19. 00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (two decimal places). Express your answer numerically to four significant figures
The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.
What does mean of two decimal points?
To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).
Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.
To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..
19.00 gram milk chocolate bar contains 11. 50 g of sugar.
Apply unitary method:
1 gram milk chocolate bar contains 11. 50/19 g of sugar.
100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.
= 60.526
The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.
60.526 ≈ 60.53
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Given csc0=178, determine the values for "a" and "b" in cos0=ab
The value of a and b are respectively 15 and 17 respectively.
What are trigonometry ratios?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Given that csc θ = 17/8 and cos θ = a/b.
The reciprocal of sin θ is csc θ.
Therefore,
1/sinθ = 17/8
or, sin θ = 8 /17
Applying the trigonometry identity cos²θ = 1- sin²θ
cos²θ = 1- (8/17)²
cos²θ = 1- 64/289
cos²θ = 225/289
cos θ = 15/17
The value of a is 15 and the value of b is 17.
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I need help on this problem will give Brainlist if right!
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
all interior angles add up to 180 and exterior add up to 360 so if u do 115+115=230, 360-230=130, 130÷2=65, 65 is the other interior angle then u add the two interior angles and subtract from 180
What is the value of y?
A. 83
B. 89
C. 96
D. 97
Answer:
A. 83 is the correct option.
Step-by-step explanation:
all angles of a triangle are always equal to 180.
46 + 51 + y = 180
97 + y = 180
180 - 97 = 83
Have a nice day! :-)
What is a algebraic expression for 1,10,19
The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.
The general form of the nth term of an arithmetic sequence is given as:
a(n) = a + (n-1) d
Since, the value of a = 1 and the common difference d =9, the resulting expression is:
a(n) = 1 + (n - 1) 9
Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.
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help me plsplsplspslpslpslpslspls
Answer:
just ask your teacher
Step-by-step explanation:
maybe she can help lol
Please help me! Sorry if the image is blurry.
Answer:
B) 27
Step-by-step explanation:
(-3,27)
(-1,19)
(0,15)
(2,7)
If m= 2, n=3, and p= -1, then find the value of : 2mn4 – 15m2n + p
In Full Details!! As Soon As Possible
Answer:
-131
Step-by-step explanation:
2×2×3×4-15×2×2×3+-1
48-179
=-131
Find a polynomial which when added to the polynomial 3x^2+3x-1, is equaivelant to the following expressions: 1
The polynomials which, when added to the polynomial 3x²+3x-1, is equivalent to the following expressions: 1, 2x²-3, and x+5 include the following below:
P = 2 - 3x² -3x.P = -2 -x² -3xP = 6 -2x -3x².What is a Polynomial?This is referred to as algebraic expressions that consist of variables and coefficients.
For 1; it is calculated as:
3x²+3x-1 + P = 1.
P = 2 - 3x² -3x.
For 2x²-3, it is calculated as:
3x²+3x-1 + P = 2x²-3
P = -2 -x² -3x
For x +5; it is calculated as:
3x²+3x-1 + P = x +5
P = 6 -2x -3x².
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The full question is:
Find a polynomial which, when added to the polynomial 3x^2+3x-1, is equivalent to the following expressions: 1, 2x^2-3, and x+5
What is the square number of 5?
a) 125
b) 16
c) 10
d) 5
Answer:
25 is your answer .
hope it is helpful to you
Answer:
25 is the correct answer
Hope it helps you have a good day ☺
s² - 2st =
s=5 and t= -1
Answer:
27
Step-by-step explanation:
s = 5
t = - 1
s² - 2st
= 5² - 2 ( 1 ) ( - 1 )
= 25 - ( - 2 )
= 25 + 2
= 27
Solve for d: c=πd what is the answer
Answer:c/π=d
Step-by-step explanation: the d and π was multiply with the d and if we want separate with it, we need to use the opposite way to get it.
help me pleaseeee
dont put any links or files because im not opening it
Answer:
According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern
Hope this helps!
Brainlist please help
Answer:
176.625
Step-by-step explanation:
Help im stuck Please help
Answer:
x = 6
Step-by-step explanation:
The three angles form a straight line, which is 180 degrees
5x+ (x+54) +90= 180
Combine like terms
6x+144 = 180
Subtract 144 from each side
6x+144-144 =180-144
6x =36
Divide each side by 6
6x/6 = 36/6
x = 6
Is the following relation a function?
Answer:
no
Step-by-step explanation:
It doen't pass the vertical line test
Give brainliest please
Answer:
No.
Step-by-step explanation:
Because two different inputs have the same output.
find the zeros of the function !! g(x)=(x-2)(3x+3) lesser x= ?
greater x= ?
Answer:
Step-by-step explanation:
Rewrite this function as g(x) = 3(x + 1)(x - 2)
Set each factor equal to zero in turn, solving for x each time:
x + 1 => x = -1 (the lesser zero)
x - 2 => x = 2 (the greater zero)
Answer:
lesser x =-1
greater x =2
Step-by-step explanation:
khan verified
HELP DUE IN 10 MINS!
Given that QUAD is a rectangle, find the values of the variables.
1. x = ?? degrees
2. ° y =?? degrees
3. ° z =?? degrees
Answer:
x= 55°
y=70°
z= 35°
Step-by-step explanation:
.................
Answer:
x = 45°
y = 70°
z = 25°
Hope this helps!
Find the surface area of the regular pyramid.
20 mm
16 mm
Area of base
is 440.4 mm?
mm2
Help!! Find the values of y and z.
Answer:
y=30, x=10
Step-by-step explanation:
[tex]3y=90 (angle in a semi circle),\\y=\frac{90}{3} =30,\\50+4x=90 ,\\4x=90-50=40,\\x=\frac{40}{4} = 10 , }[/tex]
Help please please help help me!!!!
Answer:
I got 126.12 in my notes
Step-by-step explanation: