The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental costs. Click on the datafile logo to reference the data. City Daily Living Cost ($) City Daily Living Cost ($) Bangkok 242.87 Mexico City 212.00 Bogota 260.93 Milan 284.08 Cairo 194.19 Mumbai 139.16 Dublin 260.76 Paris 436.72 Frankfurt 355.36 Rio de Janeiro 240.87 Hong Kong 346.32 Seoul 310.41 Johannesburg 165.37 Tel Aviv 223.73 Lima 250.08 Toronto 181.25 London 326.76 Warsaw 238.20 Madrid 283.56 Washington, D.C. 250.61 a. Compute the sample mean (to 2 decimals). b. Compute the sample standard deviation (to 2 decimals). c. Compute a confidence interval for the population standard deviation (to 2 decimals).
Answers
Answer:
[tex]\bar x = 260.1615[/tex]
[tex]\sigma = 70.69[/tex]
The confidence interval of standard deviation is: [tex]53.76[/tex] to [tex]103.25[/tex]
Step-by-step explanation:
Given
[tex]n =20[/tex]
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}[/tex]
[tex]\bar x = \frac{5203.23}{20}[/tex]
[tex]\bar x = 260.1615[/tex]
[tex]\bar x = 260.16[/tex]
Solving (b): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
[tex]\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}[/tex][tex]\sigma = \sqrt{\frac{94938.80}{19}}[/tex]
[tex]\sigma = \sqrt{4996.78}[/tex]
[tex]\sigma = 70.69[/tex] --- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
[tex]c =0.95[/tex]
So:
[tex]\alpha = 1 -c[/tex]
[tex]\alpha = 1 -0.95[/tex]
[tex]\alpha = 0.05[/tex]
Calculate the degree of freedom (df)
[tex]df = n -1[/tex]
[tex]df = 20 -1[/tex]
[tex]df = 19[/tex]
Determine the critical value at row [tex]df = 19[/tex] and columns [tex]\frac{\alpha}{2}[/tex] and [tex]1 -\frac{\alpha}{2}[/tex]
So, we have:
[tex]X^2_{0.025} = 32.852[/tex] ---- at [tex]\frac{\alpha}{2}[/tex]
[tex]X^2_{0.975} = 8.907[/tex] --- at [tex]1 -\frac{\alpha}{2}[/tex]
So, the confidence interval of the standard deviation is:
[tex]\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }[/tex] to [tex]\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }[/tex]
[tex]70.69 * \sqrt{\frac{20 - 1}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{20 - 1}{8.907}[/tex]
[tex]70.69 * \sqrt{\frac{19}{32.852}[/tex] to [tex]70.69 * \sqrt{\frac{19}{8.907}[/tex]
[tex]53.76[/tex] to [tex]103.25[/tex]
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Step-by-step explanation:
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Answer:
The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Step-by-step explanation:
The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]
Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?
Answers
Answer:
V = 400 ft^3
Step-by-step explanation:
The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.
Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft) = 400 ft^3
Is -33.1 a whole number
Answers
Answer:
No
Step-by-step explanation:
This is because it's part of a whole. It has to be an integer to be whole.
Answer:
no because Whole numbers include positive integers along with 0 and also Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no
Step-by-step explanation:
Stuck on this one. I can’t remember the process to get the answer
Answers
Please answer
Evaluate 60st when s = 5 and t = -3.7
Answers
Answer:
[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]
Answer:
-1110
Step-by-step explanation:
given:
s = 5
t = -3.7
to find
60st
=60*s*t
=60*5*(-3.7)
=300*-3.7
=-1110
Please help fast!! What is the range of the scores shown in the stem and leaf plot
95
40
58
37
Answers
Answer:
37
Step-by-step explanation:
Highest take the lowest
95-58=37
The circumference of a circle is 125.6
kilometers. What is the circle's radius?
Answers
Answer:
r = 20 km
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = 2πr
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
C = 125.6 km
Step 2: Solve for r
Substitute in variables [Circumference of a Circle Formula]: 125.6 km = 2(3.14)rMultiply: 125.6 km = 6.28r[Division Property of Equality] Divide 6.28 on both sides: 20 km = rRewrite: r = 20 kmAnswer:
197.29
Step-by-step explanation:
Multiple the circumfernece by 3.14 and then divide that number by 2.
Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days. If they both went to the park today and met each other, after how many days again will they be in the park and meet again?
Answers
Answer:
70 days
Step-by-step explanation:
We solve using Lowest Common Denominator method
Find and list multiples of each number of days for a walk until the first common multiple is found. This is the lowest common multiple.
Jeanne goes to the city park every 7 days for walk. Susan goes to the park every 10 days.
Hence:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90
Therefore,
LCM(7, 10) = 70
Therefore, the number of days in which they will they be in the park and meet again is 70 days
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Answer:
about 1587
that is the answer to the question
Step-by-step explanation:
I just typed it in a calculator
Answer: D
Step-by-step explanation:
Area is pi x r^2
Diameter is 2r
46.7/2 = 23.35
3 x 23.35^2 = 1635.67 or closest to D
2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in.
Answers
Answer:
36 inches
Step-by-step explanation:
Given data
Area of triangle =2 1/4 square inches
Area =9/4 square inches
Height of triangle =1/8 inches
We know that the expression for the area of triangle is
Area = 1/2Base *Height
9/4=1/2*Base *1/8
9/4=Base/16
Cross multiply
16*9=Base*4
144=Base*4
Base =144/4
Base=36 inches
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Answers
Answer:
y = 1/6x - 4
Step-by-step explanation:
y = -6x - 4
current slope is -6 so the slope of a line perpendicular would be 1/6
y = 1/6x - 4
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Answers
Answer:
its the first one
Step-by-step explanation:
a bookcase is 500mm wide how many of these bookcase will fill a
space 2m wide
Answers
I think 4 but I could be wrong
if a/4=2/3, then (a-4)/4 would equal
a. -2/3
b. -1/3
c. 0
d. 1/3
Answers
Answer:
b. -1/3
Step-by-step explanation:
a/4=2/3
a=8/3
(a-4)/4
(8-12)/12
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=-1/3
Answer:
-1/3
Step-by-step explanation:
a/4=2/3
Multiply each side by 4
a/4 *4=2/3 *4
a = 8/3
(a-4)/4
(8/3 - 4) /4
Getting a common denominator
(8/4 - 12/3) /4
(-4/3)/4
-1/3
Y’all know the answer?
Answers
9514 1404 393
Answer:
(b) 36 in²
Step-by-step explanation:
The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...
√(5² -3²) = √16 = 4
Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...
A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²
__
You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.
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Answers
Answer:
200/17 years
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100i
The bars of a histogram should be shown in increasing order. true or false
Answers
Answer:
false it can be in any order but must be according to the set of data
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Answers
Answer:
5x - 30
Step-by-step explanation:
5(x-6)
Distribute the 5 to both terms inside the parentheses
5*x - 5*6
5x - 30
Answer:
5x-30
Step-by-step explanation:
use the distributive property
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Answers
Answer:
f(x) = (x + 20)(x - 24)(x + 10)(x + 12)
Step-by-step explanation:
This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.
It also has zeroes at x = -20,-12 ,-10 and x = 24.
So it is the first option.
Malik wanted to give away \frac{1}{5} 5 1 of his bag of balloons to his 3 friends. What fraction of balloons will he give away?
Answers
Answer:
The answer is 3/5
Step-by-step explanation:
The amount of balloon to be given away= 1/5
The number of friends to
receive the balloon = 3
Therefore the total fraction of balloons that he gave away = 1/5 × 3
=3/5
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Answer:
[tex]\frac{\sqrt{2} }{6}[/tex]
Step-by-step explanation
[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]
Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number. A. 48° B. –48° C. 50° D. –50°
Answers
9514 1404 393
Answer:
C. 50°
Step-by-step explanation:
The angle whose tangent is 1.19 is ...
arctan(1.19) ≈ 49.9585° ≈ 50°
The 50° measure of an angle whose tangent is 1.19.
What is tangent?Tangent in geometry, is defined as "a line or plane that touches a curve or curved surface exactly at one point" .
According to the question,
The degree measure of an angle whose tangent in 1.19.
In order to an angle only if arctan(119) = 49.9585 ≈ 50.
Hence, the 50° measure of an angle whose tangent is 1.19.
Learn more about Tangent here
https://brainly.com/question/20725027
#SPJ2
WILL GIVE BRANLIEST!!! pls help tysm!!!
Answers
0.202 round to the hundredth
Answers
Answer:
0.20
Step-by-step explanation:
which pairs of angles in the figure below are vertical angles select all that apply
Answers
Answer:the left one
Step-by-step explanation:
please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Answers
Answer:
B
Step-by-step explanation:
B
Please help. I am very confused about this problem.
Answers
jzgsgßiqhwgwgah I don't know
Answers:
number of sides = 15regular polygon name = regular 15-gon=======================================================
Explanation:
If 156 degrees is the interior angle measure, then 180-156 = 24 is the exterior angle measure.
Divide 360 over this to find that 360/24 = 15
This means the regular polygon has 15 sides.
I'm using the idea that if n is the number of sides, then 360/n is the exterior angle measure. So 180 - (360/n) is the interior measure.
what is the equation, in point-slope form, of the ljne that is perpendicular to the given line and passes through the point (-4,-3)?
Answers
Answer:y+3=1/4(x+4)
Step-by-step explanation:
First find the slope of the line with the points -1,1 and 0,-3
1-(-3)/-1-0 = -4
perpendicular is negative reciprocal which is 1/4
now we have the slope, and a point so we can put it in point slope form
y+3=1/4(x+4)
point slope form is y-y1 = m(x-x1)
with x1,y1 being the point and m being the slope
