The median of a data set is the number in the middle of a list when the data set is ordered from smallest to largest.
To find the median, list the numbers from least to greatest value:
\(8,9,9,10,10,11,12,12,12,12,14,15,15,17,18\)The list has 15 elements, then, the element in the middle of the list is the number:
\(\frac{15-1}{2}=\frac{14}{2}=7\text{ th}\)The 7th element of the list is 12.
Therefore, the median of the data set is 12.
Please help !!!!!! 20 points
The value of x in the polygon will be 13.25 degrees.
The value of x is 10.
We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.
How to calculate the valueThe sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.
Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees
Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:
Measure of one angle = 3960/24 = 165 degrees
165 = 12x + 6
159 = 12x
x = 13.25
Therefore, the value of x is 13.25 degrees.
Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.
Therefore, we have:
731x+86° = 7380°
Solving for x, we get:
731x = 7294°
x = 10
Therefore, the value of x is 10.
The equation that can be used to find the value of x is:
(9x+48)° + (15x-24)° = (n-2)*180°
24x + 24 = (n-2)*180°
Dividing both sides by 24, we get:
x + 1 = (n-2)*15°
Subtracting 1 from both sides, we get:
x = (n-2)*15° - 1
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it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
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evaluate
\( \frac{4}{2 {i}^{15} } \)
please show work as I don't understand, thanks
Answer:
6
Step-by-step explanation:
good
Convert 4.333... into fraction and cancel it into its simplest form if necessary.
====================================================
Work Shown:
x = 4.3333...
10x = 43.3333....
10x - x = (4.3333...) - (43.3333...)
9x = 39
x = 39/9
x = (13*3)/(3*3)
x = 13/3
Use your calculator to confirm that 13/3 is equivalent to 4.3333... where the '3's go on forever.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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what is 23 x 33 - 21
Answer:
738
Step-by-step explanation:
Start by multiplying..
23 x 33 = 759
Next subtract..
759 - 21 = 738
Final answer is 738Which expression is equivalent to -21/4/-2/3
Answer:
ummmmmmm
Step-by-step explanation:
c
The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling distribution for samples of 100 babies?
Answer:
The mean birth weight for the sampling distribution is
3,500 grams.
Step-by-step explanation:
The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population. If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean. This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.
Come up with a real-life situation that could
be represented by 10^5
Answer:
on the first day of picking apples Johny was told to pick 10. The day after that he was told to pick 10 times more than he picked yesterday.The day that after he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.
Which pair of terms can be used to represent any two consecutive odd numbers?
x and x+ 1
x and x+2
x and 2x+ 1
2x and 2x+ 1
Answer:
x and x+2
Because the next consecutive odd number is 2 away from the nearest odd number.
Answer:
odd integers are 2 apart from each other (in between them is an even number)
x and x+2 is answer
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
Need help ASAP ! Determine whether the following polygons are similar.
Answer:
they are not similar because you can't multiply both sides given by the same number to get the second polygon
Answer:
NO THEY arent
Step-by-step explanation:
if you were to multiply both, you wouldnt get the same answer also the scale factor isnt the same.
The height of a doorway is 8 yards. What is the height of the doorway in inches?
The height of the doorway is
inches.
Answer:
288
Step-by-step explanation:
multiply the length value by 36
Find f(2) if f(x) = (x + 1)2
Answer:
9
Step-by-step explanation:
f(x) = (x + 1)^2
Let x=2
f(2) = (2 + 1)^2
= 3^2
= 9
evaluate 5 + (-11) - (-11)
Answer:5
Step-by-step explanation:
Find the distance between the pair of points (-7, 2) and (-2, 14)
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
Macmillan Learning
Read the case study below and choose the best possible answer to the following questions.
Ben and Amy have been dating since their junior year in high school, but Amy decided to attend a different college than
Ben. Lately, Amy hasn't been returning Ben's numerous phone calls and text messages. Since they've been apart, Ben has
started to worry that Amy might be interested in someone else. He's started to feel that there is no way he can save the
relationship. With each passing day without contact, Ben feels worse and worse. He's been short with his friends and has
started skipping his morning classes because he is having a hard time sleeping.
Question.
Amy's cell phone was stolen last week, and because she has had to purchase textbooks for her classes, she hasn't been able
to afford to replace it yet. This is why she hasn't been returning Ben's texts and calls. Ben might have considered this a
possible scenario if he had better skills in?
A.problem solving.
B.self-regard.
C.stress. tolerance.
D.empathy.
Answer:
problem solving
Step-by-step explanation:
to be good in solving your everyday problems one has to have an optimistic approach, broad minded thinking to overcome the petty issues.
What is the constant of proportionality in this proportional relationship? x 2 212 3 312 y 52 258 154 358 45 54 4 5
The constant of proportionality in this proportional relationship is 106
x = 2
y = 212
Direct proportionalityy = k × x
where,
k = constant of proportionality
y and x = variables with different values
y = k × x
212 = k × 2
212 = 2k
k = 212/2
k = 106
Therefore, the constant of proportionality is 106
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Answer:
im sorry this is late but the actual answer is 5/4
Step-by-step explanation:
i took the quiz and this is the correct answer. i hope this helps
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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5. Gasoline is priced at $3.39 per gallon. Write
an equation to represent the total cost, y, of
purchasing x number of gallons.
Answer:
3.39x=y
Step-by-step explanation:
This is because the 'y' part is supposed to be the answer for how much the gallons of gasoline would be.
The 'x' part of the equation represents how much gallons of gasoline you got and you can treat it as a normal number.
Pretend that x is 2 and so you are to find out how much 2 gallons of gasoline costs and to work this out you would do this: 3.39 x 2.
You just basically treat x as a normal number like so and it would look like:
3.39 x x=3.39x
Twenty times y is at most 100 in interval notation
Answer:
\(y\in (-\infty ,5]\)
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation ".
20 times y means, 20y
Atmost means an inequality which is \(\le\)
ATQ,
\(20\times y\le 100\)
i.e.
\(20y\le 100\\\\y\le 5\)
We can also write it as :
\(y\in (-\infty ,5]\)
Hence, the required interval notation is \(y\in (-\infty ,5]\).
The interval notation is \(\rm y \epsilon (\infty,6]\).
What is interval notation?The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.
"Twenty times y is at most 100 in interval notation ".
Here, 20 times y means, 20y at most means an inequality.
Therefore,
The inequality is;
\(\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5\)
Hence, the required interval notation is \(\rm y \epsilon (\infty,6]\).
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Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
Find the 66th term of the arithmetic sequence -28,-45,-62
Answer:
Using the formula
an = a of 1 + (n-1)(d)
an = -28 + (n-1)(-17)
simplify
an = -17n - 11
Now that we have the formula, we just plug in 66 for n
a66 = -17(66) - 11
a66 = -1133
Which describes the graph of y= (x+3)^2 - 4?
A. Opens down with a vertex at (3,-4)
B. Opens up with a vertex at (-3,-4)
C. Opens down with a vertex at (-3, -4)
D. Opens up with a vertex at (3, -4)
Answer:
Hi! The answer to your question is B. Opens up with a vertex at (-3,-4)
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
- Brooklynn Deka
The volume of a cylinder is 171 pi cubic inches and the radius of the cylinder is 3 inches. What is the height of the cylinder?
The value of the height of the cylinder is,
⇒ h = 19 inches
We have to given that;
The volume of a cylinder is 171 pi cubic inches and the radius of the cylinder is 3 inches.
We know that;
Volume of cylinder = πr²h
Hence, We get;
⇒ 171π = π × 3² × h
⇒ 171 = 9h
⇒ h = 171 / 9
⇒ h = 19 inches
Thus,
The value of the height of the cylinder is,
⇒ h = 19 inches
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The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8.
Let x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget
of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
Answer:
16 new releases and 22 classic movies.
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Given h(x) = 5x + 3. what is the value of h(-11)
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.
Answer:
C. Right and isosceles
Explanation:
Since two sides of the triangle are equal in length (\(DE\) and \(DF\)), this means that the triangle is an isosceles triangle. Since \(EF\) is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.
Hope this helps :)
Answer:
It is C.
Step-by-step explanation:
Hope this helped have an amazing day!