Answer:
17 degrees
Step-by-step explanation:
-23 + 6 = 17
In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows:
$1,589, $593, $1,223, $869, $423, $1,720, $708, $1,425, $922 and $308.
a. What is the mean and median change in the cost? (Explain how you obtain your answer.)
b. What is the five-number summary of the change in the cost? (Explain how you obtain your answer.)
c. What is the standard deviation of the change in the cost? (Explain how you obtain your answer.)
d. The middle 50% of the change in the cost is spread over what value? (Explain how you obtain your answer.)
e. What is the coefficient of variation of the change in cost? (Explain how you obtain your answer.)
f. What are the (absolute values of) the Z scores of the change in cost?
Answer:
1. mean = 980 median = $895.5
2. 308, 593, 895.5, 1425, 1720
3. 491.7978
4. 895.5
5. 50.28%
Step-by-step explanation:
1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10
= 9780/10
= $978
median
We first arrange the values in ascending order
308,423,593,708,869,922,1223,1425,1589,1720
number of observation is even so we pick the 2 values in the middle and divide by 2
= 869+922/2
= $1791/2
$895.5
2. five number summary of change
the botom half of th dta set = 308,423,593,708,869
minimum value = 308
n = 5
median = 593 = q1
from 1, q2 = median = $895.5
the upper half of data
922,1223,1425,1589,1720
n = 5
median = $1425
maximum value = $1720
the five number summary of change in cost is therefore
308, 593, 895.5, 1425, 1720
3. standard deviation
[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]
bar x is the mean = 978
($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²
= 2176786
=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]
= [tex]\sqrt{241865.1}[/tex]
= 491.7978
4. middle 50% is spread over the median, which is 895.5
5. coefficient of variation
= s/bar x * 100
= 491.7978/978 * 100
= 49179.78/978
= 50.28%
6. z score = x - mean/s
x = 1589
= 1589-978/491.7978
= 1.2424
for x = 593
593-978/491.7978
= -0.7828
= 0.7828
for x = 1223
1223-978/491.7978
= 0.4982
for x = 869
869-978/491.7978
= -0.2216
= 0.2216
for x = 423
423-978/491.7978
= -1.1285
= 1.1285
x = 1720
1720-978/491.7978
z = 1.5088
for x = 708
708-978/491.7978
= -0.5490
= 0.5490
for x = 1425
1425-978/491.7978
= 0.9089
for x = 922
922-978/491.7978
= -0.1139
= 0.1139
for x = 308
308-978/491.7978
= -1.3624
= 1.3624
Please answer the questions attached below
Answer:
Step-by-step explanation:
The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²
Area of parallelogram = 4 units²
:::::
area of blue parallelogram = 4×9 = 36 units²
:::::
area of green parallelogram = 3×5 = 15 units²
The relationship between the height of a tree and the time snice the tree was planted?
Answer:
Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.
What is 30 % of 69.95
Answer:
20.985
Step-by-step explanation:
How do I calculate 30 percent off?
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
solution to 3x+4=3x+4
The results can be shown in multiple forms;
4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).
Move all terms containing [tex]x[/tex] to the left side of the equation.
[tex]Subtract\\3x+4-3x=4\\[/tex]
Combine the opposite terms in [tex]3x+4-3x[/tex]
[tex]Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*[/tex]
Since [tex]4=4[/tex] the equation will always be true.
Find the slope of the line
O 1/3
O 6/2
0 -3/1
03/1
Answer:
6/2
Step-by-step explanation:
The slope of the given line is 3/1, Option D is correct.
The given line is passing through the points (1, 3) and (-1, -3)
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Plug in the values of points (1, 3) and (-1, -3) in the formula.
m= -3-3/-1-1
=-6/-2
Divide numerator and denominator by 2
We get 3
Slope of the line is 3.
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Can someone help please
Answer:
Angle 2 = 34 degrees
Angle 4 = 34 degrees
Step-by-step explanation:
Angle 7 = Angle 1
180 - 146 = 34 degrees
so Angle 2 and 4 are 34 degrees, since they are congruent.
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
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a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.
Answer:
hope this helps
The solution is 3,27,680
The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the first term of the geometric sequence be a₁ = 20
Let the second term a₂ = 80
So , the common ratio r = second term / first term
On simplifying the equation , we get
Common ratio r = 80/20
Common ratio r = 4
Now , the explicit formula for the GP is
aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours
aₙ = 20 ( 4 )ⁿ⁻¹
So , after 8 hours ,
Substitute the value of n = 8 in the equation , we get
a₈ = 20 ( 4 )ⁿ⁻¹
a₈ = 20 ( 4 )⁷
a₈ = 3,27,680
Therefore , the value of a₈ = 3,27,680
Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹
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00:00
The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each
term to the example it best describes. Each tile may be used only once.
Representative Sample
Population
NOT a Representative Sample
Term
Example
Drivers who reside in Middlefield
Residents of Middlefield
Residents randomly chosen from the town register
Answer:
Matching Tiles with Terms:
Term Example
NOT a Representative Sample Drivers who reside in Middlefield
Population Residents of Middlefield
Representative Sample Residents randomly chosen from the
town register
Step-by-step explanation:
Population includes all the residents of Middlefield.
Representative Sample is a population subset that accurately reflects the characteristics of the population. For example, the subset of residents who are randomly chosen from the town register is an unbiased and representative sample.
NOT a Representative Sample: For example, drivers who reside in Middlefield do not represent the characteristics of the population of Middlefield.
Help math plzshnsndnfjc
Answer:
11 inches
Step-by-step explanation:
So first I don’t typically go with fractions so I broke 2 3/4 down into a decimal which is:
2.75
Then the index card is
4 by 2.75
Then you multiply the sides
4 x 2.75
= 11 inches
NEED HELP MY GRADE DEPENDS ON ITT!!!!!!!! I will mark brainliest answer.
find the value of f and g in the figure below.
Answer:
DONT PRESS THAT LINK
Step-by-step explanation:
please help me for brqinliest im imed
Answer:
77°
Step-by-step explanation:
As we can see ABCD is a cyclic quadrilateral so opposite angles of a cyclic quadrilateral is supplementary.
< A + <B = 180° { being opposite angles of cyclic quadrilateral }
2x + 9° + 3x + 1° = 180°
5x + 10° = 180°
5x = 180° - 10°
5x = 170°
x = 170° / 5
x = 34°
Now
< A = 2x + 9°
= 2 * 34° + 9°
= 77°
Hope it will help :)❤
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answer:
Me puedes informar mas?
Combine the like terms to create an equivalent expression,
Зу +6 – у
HELPPPPPP NOWWWW
100 points
Answer: 2y+6
Step-by-step explanation:
Answer:
x and y
Step-by-step explanation:
Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
Jerel runs 5 days each week. On each of 4 days, he runs 2.3 km. If Jerel runs a total of 14 km, how many kilometers does he run on the fifth day? a3.8km b4.8km c5.8km d4.7km
Answer:19
Step-by-step explanation:
helppppppppppppppppppppppp
Answer:
E = N × C
for
E: earnings
N: number sold
C: cost
she will make:
50 × 1.25 = $62.5
Quadrilateral GHIJ is dilated by a scale factor of 22 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
Answer:
[tex]H'I = 48[/tex]
Step-by-step explanation:
Given
See attachment for complete question.
From the attachment, we have:
[tex]GH=16.5[/tex]
[tex]HI =24[/tex]
[tex]IJ = 17[/tex]
[tex]JG =32.2[/tex]
[tex]k = 2[/tex] --- Scale factor
Required
Find H'I
The corresponding side of H'I is HI.
So:
H'I is calculated as:
[tex]H'I = k * HI[/tex]
This gives:
[tex]H'I = 2 * 24[/tex]
[tex]H'I = 48[/tex]
Answer I to j is 42
Step-by-step explanation:
change 5 feet 10 inches to centimetres
Answer:
177.8
Step-by-step explanation:
There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8
A sporting goods store is discounting all
sports balls 55%. Which value is equivalent to this
percent?
A. 15/25
B. 11/20
C. 5/10
D. 5/55
simplify by distributive property 8-3(7m-3p)
Use the figure to find the Volume.
Answer:
12π un^3
Step-by-step explanation:
Use the fomula: V= πr2 h
The radius is 2 and the height is 3.
I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .
The work is in the screen shot goodluck.
Hope this helped!
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.
A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.
Answer:
Search for space diags
Step-by-step explanation:
you will find answer
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 480000 CM ^3
Explanation:
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Noise levels at 5 airports were measured in decibels yielding the following data:
117,118,140,116,119
1. Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
2. Calculate the sample mean for the given sample data.
3. Find the critical value that should be used in constructing the confidence interval.
Answer:
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
Step-by-step explanation:
117+118+140+116+119/5
= 610/5
= 122
the sample mean = 122
the sample standard deviation
s² = (117-122)²+(118-122)²+(140-122)²+(116-122²)+(119-122)²/5-1
= 25+16+324+36+9/4
= 410/4
= 102.5
s² = 102.5
s = √102.5
s= 10.12
SE = s/√n
= 10.12/√5
= 4.52
degree of freedom = 5-1 = 4
critical value of t = +-2.1318 using soft ware
confidence interval =
mean +- t(SE)
122-(2.1318)(4.52), 122+(2.1318)(4.52)
= [112.364, 131.636]
112.364<μ,131.636
therefore these are the answers in the ordre it was given in the question
1. 112.364<μ,131.636
2. mean = 122
3. critical value = +-2.1318
Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT
Answer:
the answer is c because it is over xaxis
It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?
Answer:
I think the answer is $14 hope this helps!
Step-by-step explanation:
w
What is the value of a?
4
5 units
C
Os units
O 6 units
O 7 units
Answer:
B.5 1/3
Step-by-step explanation:
got it right on edge
The value of a from the given triangle is [tex]5\frac{1}{3}[/tex] units. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
From the triangle we have WX=b, WZ=c, ZY=3, YX=a and WY=4.
By Pythagoras theorem,
c²=4²+3²
c²=16+9
c²=25
c=5 units
In triangle WXZ,
(3+a)²=5²+b² ----(i)
From the triangle WXY,
b²=4²+a² ------(ii)
From equation (i) and (ii), we get
(3+a)²=5²+4²+a²
9+6a+a²=41+a²
6a=32
a=32/6
a=[tex]5\frac{1}{3}[/tex] units
Therefore, option B is the correct answer.
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The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.
What is the volume of the pyramid?
72 cm³
48 cm³
32 cm³
60 cm³
Answer:
72 cm³
Step-by-step explanation:
i just took the test :)
The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).
What is the volume of a right square pyramid?The formula for the volume of a right square pyramid is:
V = (1/3) B × h
where B is the area of the base and h is the height of the pyramid.
Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.
The area of the square base is:
B = s² = 6² = 36 cm²
The volume of a right square pyramid is:
V = (1/3) B × h
Substituting in the given values, we get:
V = (1/3) × 36 × 6
V = 72 cm³
Therefore, the volume of the pyramid is 72 cm³.
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pls help me i will give brainliest
Topic: Solving Word Problems Involving Linear Equations in One Variable
please show process.....
To do a job alone, it would take Beane 3 hours, Elle 4 hours and Rye 6 hours. How long would it take them to finish the job if they work together?
Step-by-step explanation:
13 hours
6 + 4 + 3 = 13
correct if wrong
The tree diagram represents an
experiment consisting of two trials.
.3
.4
B
Answer:
.32
Step-by-step explanation:
.4x.8=.32