Question 3 Now change the central angle, ∠CAB, and see how it affects the inscribed angle, ∠CDB. To do this, move point B around the circle without crossing points D and C, and do the same for point C without crossing points B and D. Record five data sets for m∠BAC and m∠BDC in the table.
ANSWER FAST!
Answers
By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.
What is the inscribed angle theorem?The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:
m∠BDC = ½ × m∠BAC.
For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
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Answer:
plato
Step-by-step explanation:
m∠BAC m∠BDC
50° 25°
70° 35°
90° 45°
125° 62.5°
150° 75°
Related Questions
A box contains 13 green marbles and 13 white marbles. If the first marble chosen was a white marble, what is the probability of choosing, without replacement, another white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
[tex]\textbf{Answer:\ \ \large\boxed{\frac{12}{25} }\ or\ 0.4800}[/tex]
Step-by-step explanation:
[tex]\large\boxed{13\ green\ marbles\ and\ 13\ white\ marbles}[/tex]
After a white marble is chosen:
[tex]\large\boxed{13\ green\ marbles\ and\ 12\ white\ marbles}[/tex]
Now there are 25 (13 + 12) total marbles.
Without replacing the white marble we chose already, what is the probability of choosing another white marble?
Well, now there are 12 white marbles to choose from, out of a total of 25 marbles. This means our probability is:
[tex]\large\boxed{\frac{12}{25} }[/tex]
This in decimal form is:
0.4800
-20, 10, -5,
I need the next sequence
Answers
Answer:
The next term in the sequence is 5/2 or 2.5.
========================
Given series:
-20, 10, - 5, ...We notice that this is a geometric progression.
The common ratio is:
r = -5/10 = 10/ -20 r = - 1/2To find the next term multiply the last term by the common ratio:
[tex]t_n=rt_{n-1}[/tex]The 4th term is:
[tex]t_4=(-1/2)*(-5)=5/2=2.5[/tex]If the r-value, or correlation coefficient, of a data set is 0.854, what is the
coefficient of determination to three decimal places?
A. 0.829
• B. 0.754
• C. 0.729
D. 0.854
Answers
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
A survey was done with 205 women. Each women was asked how many children she had. The results showed that 28% of the women had 3 or more children. How many surveyed women had less than 3 children?
Answers
Please help me with this question!
Answers
Answer:
true, it will always divide the opposite side in halff
Step-by-step explanation:
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The statement " Any altitude of an equilateral triangle is also a median of the triangle " is true
because if we take altitude from any side of an equilateral triangle to its opposite side. it wil make 90° and by using congruency, the two newly formed truangles will be congruent to each other, hence by using the results of congruency, we can get the two pasrts of the side on which attitude was dropped to be equal.
[tex] \qquad \large \sf {Conclusion} : [/tex]
Yes ! Altitude of an equilateral angle triangle from any side is also a median.
Jose wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house (-8, -9) and the store (-4, -10). Each unit is equal to one mile.
Answers
Answer:
4.12 miles
Step-by-step explanation:
Use distance formula
d^2 = (-8- -4)^2 + ( -9 - -10)^2
d^2 = 16 + 1
d^2 = 17
d = sqrt 17 = 4.12 miles
Inverse Functions: Mastery Test
Select the correct answer.
Consider this function.
f(x) = -3z + 3
Which graph represents the inverse of function f
Answers
The inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]x=g(y)=-\frac{y}{3}+1[/tex].
How to find the inverse of a function of type y=f(x)=ax+b?An inverse function is a function that undoes the action of another function. For example, if the function [tex]f[/tex] produces the number [tex]y[/tex] after applying on [tex]x[/tex] i.e., [tex]y=f(x)[/tex], then the inverse function of [tex]f[/tex], which is denoted by [tex]f^{-1}[/tex], produces [tex]x[/tex] after applying on [tex]y[/tex] i.e., [tex]f^{-1}(y)=x[/tex].To find the inverse of a function of type [tex]y=f(x)=ax+b[/tex], we just need to rewrite the equation as [tex]x=g(y)[/tex] which can be illustrated as follows: [tex]y=ax+b\Longrightarrow x=\frac{y}{a}-\frac{b}{a}[/tex] i.e., [tex]g(x)=\frac{x}{a}-\frac{b}{a}[/tex] is the inverse function of [tex]f(x)=ax+b[/tex].Here, the given function is [tex]f(x)=-3x+3[/tex].
Then we get:
[tex]y=-3x+3\\\Longrightarrow x=-\frac{y}{3}+1[/tex]
Thus, the inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]g(x)=-\frac{x}{3}+1[/tex].
The graph representing this inverse function is given as follows:
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Your family borrowed $400,000 from the bank to purchase a new home. If the bank charges 3.8%
interest per year, compounded weekly, it will take 25 years to pay off the loan. How much will each
weekly payment be?
Answers
Answer:
472.19
Step-by-step explanation:
$472.19 weekly
Thus the required weekly installment is $402.30 for 25 years.
Given,
The family borrowed $400,000 from the bank to purchase a new home.
the bank charges 3.8% interest per year, compounded weekly, it will take 25 years to pay off the loan. How much will each weekly payment to be determined?
Statistics is the study of mathematics that deals with relations between comprehensive data.
The principle amount to refund = 400,000
Let the principle amount for weekly = P
Rate per year = 3.8%
Tenure = 25 year
For weekly installments,
52 Weeks in a year
Tenure = 25/52
Now,
[tex]Amount = P(1-(1+r)^{-tn})/i\\400000 = P (1-(1+0.038/52)^{-25*52}) / (0.038/52)\\400000 * 0.038/52 = P(1-(52.038)^{-25*52})\\292.30 = P(1-(1.001)^{-1300})\\292.30 = P(1-0.273)\\292.30=P * 0.727\\P = 402.30[/tex]
Thus the required weekly installment is $402.30 for 25 years.
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Identify what a, b, and c would equal in standard form.
Do not simplify the equation.
-14y= 28-10x
a=
b=
C=
Answers
Answer:
below
Step-by-step explanation:
-14y = 28 - 10x
10x - 14y - 28 = 0.
a = 10
b = -14
c = -28
Answer:
a = 10
b = -14
c = 28
Step-by-step explanation:
Goal form: Standard form
ax + by = c
Given form: linear form (not fully simplified)
-14y = 28 - 10x
Add 10x on both sides (to move the x-value to the left-hand side of the equation)
-14y + 10x = 28 - 10x + 10x
-14y + 10x = 28
10x - 14y = 28
Determine [ a ], [ b ], [ c ]
ax + by = c
10x - 14y = 28
[tex]\Large\boxed{a=10}[/tex]
[tex]\Large\boxed{b=-14}[/tex]
[tex]\Large\boxed{c=28}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Use the rational zeroes theorem to write the
function in factored form and find all zeroes.
Note a = 1.
Y =x²-23x² 18x+40
Answers
The y factors of the given quadratic equation is -1 and 40/22.
According to the statement
we have given that the equation and we have to find the factors of those equation.
So, The given equation is:
[tex]Y =x^2-23x^2 + 18x+40[/tex]
where y is the factors of that equation.
So, we have to find the factors of the given quadratic equation.
[tex]x^2-23x^2 + 18x+40 = 0[/tex]
Then after solving it become
[tex]-22x^2 + 18x+40 = 0[/tex]
Then take negative sign common from it then
[tex]22x^2 - 18x - 40 = 0[/tex]
Make the factors of this quadratic equation
[tex]22x^2 + 22x -40x - 40 = 0[/tex]
Now take common values 22x and 40 from the equation then
[tex]22x (x + 1) -40 (x + 1) = 0[/tex]
Then it become
[tex](22x - 40) (x + 1) = 0[/tex]
Then the values of x become from the equation is
[tex]x = -1, x= 40/22[/tex]
The value of the factors y is -1 and 40/22.
So, The y factors of the given quadratic equation is -1 and 40/22.
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Find the number if 11% of it is 55
Answers
Answer:
Step-by-step explanation:
.11x = 55
11x = 5500
x = 500
You draw a rectangular picture that is 8 inches wind.It is 3 times as long as it is wind what is the area of the picture
Answers
Answer:
[tex]512 ^{2} [/tex]
the area of the picture
please help urgently
Answers
Answer:
2
Step-by-step explanation:
Substitute:
2(1)(3)+2 / 2(1)(3)-2 =
6 + 2 / 6 - 2 =
8 / 4 =
2.
Hey there!
2ab + 2 / 2ab - 2
= 2(1)(3) + 2 / 2(1)(3) - 2
= 2(3) + 2 / 2(3) - 2
= 6 + 2 / 6 - 2
= 8 / 4
= 2
Therefore, your answer should be: 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Twenty years ago, 51% of parents of children in high school felt it was a
serious problem that high school students were not being taught
enough math and science. A recent survey found that 232 of 700
parents of children in high school felt it was a serious problem that high
school students were not being taught enough math and science. Do
parents feel differently today than they did twenty years ago? Use the
α = 0.1 level of significance
Answers
No the parents do not feel differently as they used to feel twenty years ago
Given :-
Po: p=0.46
Pa: p NE 0.46
alpha=0.01
Test statistic is one sample proportion [tex]z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}[/tex]
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Po and insufficient evidence to support the claim that parents feel differently.
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X ≥ 5), n=6, p=0.3
Answers
The probability of obtaining a success is 0.010935.
Given that the probability of obtaining success is P(X>=5),n=6,p=0.3.
We are required to find the probability of obtaining a success if the probability is P(X>=5).
Probability is basically likeliness of happening an event among all the events possible.
Binomial distribution is basically the discrete probability distribution of the number of successes in a sequence of n independent experiments.
[tex](a+b)^{n} =nC_{0}p^{0} (1-p)^{n-0}+-----------nC_{n} p^{n} (1-p)^{0}[/tex]
We have to just put n=6 anr r=6 and 5 one by one to get the probability.
P(X>=5)=[tex]6C_{5}(0.3)^{5} (0.7)^{1} +6C_{6}(0.3)^{6} (0.7)^{0}[/tex]
=6!/5!1!8*0.00243*0.7+0.000729
=6*0.00243*0.7+0.000729
=0.010206+0.000729
=0.010935
Hence the probability of obtaining a success if the probability is P(X>=5) is 0.010935.
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The following table shows the data of a random sample of fish collected from and later released into a lake:
PLEASE ANYBODY HELP FAST I NEED TO KNOW THIS AND IF I DONT SCORE ATLEAST A 60% I WONT PASS PLEASE SOMEONE HALP ILL GIVE BRAINLIEST
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
Answers
The estimated number of trout that is present in a random sample of 5,000 fish is 1429
How to determine the number of trout that are estimated?The table of values is given as:
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
The proportion of fish that are trout is calculated as:
Trout = 140/(120 + 230 + 140)
Evaluate the sum
Trout = 140/490
Simplify the fraction
Trout = 2/7
The number of trout that is present in a random sample of 5,000 fish is calculated as:
Trout = 2/7 * 5000
Evaluate the product
Trout = 1429
Hence, the estimated number of trout that is present in a random sample of 5,000 fish is 1429
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if im taking a 32 hour course and ive completed 73% of it how much time do i have left
Answers
Answer:
8.64 hours, so
8 hours, 38 mins, 24 seconds
Just find that 27% you have left, then find how much that 27% is in terms of time.
It might be wrong so double check it please.
Answer:
8.64 hours
which is 8hrs 38mins and 24secs
Step-by-step explanation:
If you've completed 73% then you have 27% left to go still. (100-73 = 27)
27% of 32
= .27×32
= 8.64 hours left
That is 8hrs and .64 of an hour .64×60=38.4 mins
which is 38 mins and .4 of a minute.
.4×60 = 24secs
Probably you will just round this answer.
7. A coin is tossed and a day of the week is selected. What is the probability that you get tails and a day that begins with "S"?
Answers
Answer:
1/7
Step-by-step explanation:
Lets start with the probability of flipping tails, 1/2.
Then the probability of the day starting with the letter s, 2/7.
Calculate the final probability by multiplying the two together.
[tex]\frac{1}{2}*\frac{2}{7}=\frac{2}{14}[/tex]
You can simplify 2/14 down to 1/7
HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE
CONTAINS 3 DIFFERENT DIGITS FOLLOWED BY 3 DIFFERENT LETTERS?
Answers
The number of license plates is 11232000
How to determine the number of license plates?The given parameters are:
Characters = 6 i.e. 3 letters and 3 digits
Letters = 3 different letters
Digits = 3 different digits
There are 10 different digits and 26 different letters.
Since each character is different from the other, then we have:
Digits = 10, 9 and 8
Characters = 26, 25 and 24
The number of license plates is then calculated as:
n = 10 * 9 * 8 * 26 * 25 * 24
Evaluate the product
n = 11232000
Hence, the number of license plates is 11232000
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Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property.
What are solutions to quadratic equations called? Show your work.
Answers
Answer:
x = -7
x = 5
Step-by-step explanation:
The standard form of quadratic equations is
Ax^2 + Bx + C = 0
The factors need to multiply together to be C and add together to be B.
The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.
The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.
x + 7 = 0
-7 -7 Subtract 7 from each side to solve
x = -7
x - 5 = 0
+5 +5 Add 5 to each side to solve
x = 5
To solve the equation, factor x²+2x−35 use the formula x² +(a + b) x + ab = (x + a)(x + b). To find a and b, set up a system to be solved.
a + b = 2
ab = −35
Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −35.
−1.35−5.7Calculate the sum of each pair.
−1 + 35 = 34−5 + 7 = 2The solution is the pair that gives sum 2.
a = −5b = 7Rewrite the factored expression (x + a)(x + b) with the values obtained.
(x − 5)(x + 7)To find solutions to equations, solve x−5=0 and x+7=0.
x = 5x = −7What are the solutions of quadratic equations called?The "solutions" of a Quadratic Equation are the values where the equation equals zero. They are also called "roots", or even "zeros".
ヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
https://brainly.com/question/16413695A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface area that such a box can have?
Answers
The minimum surface area that such a box can have is 380 square
How to determine the minimum surface area such a box can have?Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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Can anyone help me figure out this question?
Answers
As x increases by 1, y increases by 3
Which inequality is represented by the following graph?
x ≤ 4
Answers
Answer:
X is less than and equal to 4
GEOMETRY
Surface area of a cube or a rectangular prism
There is a rectangular prism with a length of 8 yd, a width of 6 yd, and a height of 5 yd.
Find the surface area of this rectangular prism.
Be sure to include the correct unit in your answer.
Answers
SA = 2[8(6) + 6(5) + 8(5)]
SA = 2(48 + 30 + 40)
SA = 2(118)
SA = 236 square yards
HELP PLEASE will give brainliest
Answers
Answer:
This is an example of correlation because there is an obvious relationship between the two scenarios
Step-by-step explanation:
This is not cause-and-effect therefore cannot be causation or "cause"
Jen opened a savings account at the bank. The amounts of her first 3 deposits are shown below:
• Deposit 1: $325
• Deposit 2: $280
• Deposit 3: $480
• Deposit 4: ?
How much does she need in the fourth deposit so that her average deposit is $365?
Answers
Answer:$375
Step-by-step explanation: To find the average, we need to add all of the numbers up and divide by the number of numbers in the set. Since there are 4 deposits, to get an average of #365, Jen needs to have deposited 365x4 = $1460 in total. Now, it is pretty easy to find the answer. We add up her 3 deposits: 325+280+480 = $1085 and see that it is still $375(1460 - 1085) short. So, Jen needs to deposit $375 on her fourth deposit to have an average of $365.
if sin 0=12/13 and 0 is in quadrant II, cos 20= and cos0=
Answers
a. The value of cos2θ = -119/169
b. The value of cosθ = -5/13
The question involves trigonometric identities
What are trigonometric identities?Trigonometric identities show the relationship between trigonometric ratios.
How to find the value of cos2θ?Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.
Using trigonometric identity
cos2θ = 1 - 2sin²θ
Substituting sinθ = 12/13 into the equation, we have
cos2θ = 1 - 2sin²θ
cos2θ = 1 - 2(12/13)²
cos2θ = 1 - 2(144/169)
cos2θ = 1 - 288/169
cos2θ = (169 - 288)/169
cos2θ = -119/169
So, the value of cos2θ = -119/169
How to find the value of cosθ?Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.
Using trigonometric identity
cosθ = √(1 - sin²θ)
Substituting sinθ = 12/13 into the equation, we have
cosθ = √(1 - sin²θ)
cosθ = √[1 - (12/13)²]
cosθ = √[1 - (144/169)]
cosθ = ±√(169 - 144)/169
cosθ = ±√25/169
cosθ = ±5/13
θ is the quadrant II, it means that 90° ≤ θ ≤180° it means that cosθ is negative.
So, cosθ = -5/13
So, the value of cosθ = -5/13
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The centre of the stained glass window is in the shape of a regular polygon. What are the measures of the interior angle of the green triangle?
CAN SOMEONE EXPLAIN WITH REASONING STEP BY STEP Solution so I can grasp the concept easily. please explain with a sol
Answers
Answer:
67.5 - 67.5 - 45 °
Step-by-step explanation:
Sum of INTERIOR angles of a polygon
(n-2) * 180 <====ya just have to remember/know this !
n is the number of sides n = 8 in this case
(8-2)*180 = 1080 ° < === this is the SUM of the 8 interior angles
EACH interior angle is then 1080 / 8 = 135 °
you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each
so the triangle measurements are
67.5 - 67.5 - 45 ( they have to sum to 180 for triangle)
PLEASE HELP ALOT OF POINYSAshlee is working with a local construction firm to improve Interstate 35.
The construction firm has created steel supports that will be arranged
into triangular shapes with side lengths of 6 feet, 9 feet, and where the
third side of each triangle has various lengths. They have asked Ashlee to
design a package that she could guarantee would fit all the materials. She
decided to use constructions to determine the maximum value for the
unknown side, x, and then ship all her materials in a box of length x feet.
Which is the best conclusion for Ashlee to make?
Answers
The best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
How to determine the maximum lengths?
The side lengths of the triangle are given as:
6 feet and 9 feet
Let the third side be x.
By triangle inequality theorem, we have:
a + b > c
So, we have
6 + 9 > x
6 + x > 9
9 + x > 6
Evaluate the inequalities
15 > x
x > 3
x > -3
Remove the negative inequality
15 > x
x > 3
Combine the inequalities
3 < x < 15
So, the maximum side is less than 15
Hence, the best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
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Question 19 (5 points) ✔ Saved
Order the following temperatures from coolest to warmest.
1
>
>
>
>
3°C
-7°℃
2°F
262 K
Question 20 (5 points)
Answers
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
According to the statement
we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.
So, For this purpose,
The given values of temperatures are:
3°C , -7°C , 2°F, 262 K
Firstly convert into one form
So, convert all values in Celsius form,
3°C = 3°C
-7°C = -7°C
2°F = -16.7°C
262 K = -11.15°C
Now arrange into the order from coolest to warmest
So, it will become
-16.7°C > -11.15°C > -7°C > 3°C
So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
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