To calculate the standard deviation of the given data representing the number of short-term parking spaces at 15 airports, we can use the formula for standard deviation.
Calculate the mean: Add up all the values and divide by the number of data points.
Mean = (750 + 3400 + 1962 + 700 + 203 + 900 + 8662 + 260 + 1479 + 5905 + 9239 + 690 + 9822 + 1131 + 2516) / 15 = 3932.2
Calculate the deviation from the mean for each data point: Subtract the mean from each data point.
Deviations = (750 - 3932.2, 3400 - 3932.2, 1962 - 3932.2, 700 - 3932.2, 203 - 3932.2, 900 - 3932.2, 8662 - 3932.2, 260 - 3932.2, 1479 - 3932.2, 5905 - 3932.2, 9239 - 3932.2, 690 - 3932.2, 9822 - 3932.2, 1131 - 3932.2, 2516 - 3932.2)
Square each deviation: Square each of the obtained deviations.
Squared deviations = (deviation[tex]1^2[/tex], deviation[tex]2^2[/tex], deviation[tex]3^2[/tex], ..., deviation[tex]15^2[/tex])
Calculate the variance: Add up all the squared deviations and divide by the number of data points.
Variance = ([tex]deviation1^2 + deviation2^2 + deviation3^2 + ... + deviation15^2[/tex]) / 15
Calculate the standard deviation: Take the square root of the variance.
Standard deviation = √Variance
By following these steps, you can calculate the standard deviation of the given data.
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Consider a branching process whose offspring generating function is o(s) = (1/6) + (5/6)s2. Obtain the probability of ultimate extinction. Enter your answer as an integer of the form m or a fraction of the form m/n. Do not include spaces. Consider a branching process whose offspring generating function is o(s) = (5/6) + (1/6)s?. Obtain the mean time to extinction. Write your answer to two decimal places. Do not include spaces. Use the Excel spreadsheet "Mean Time to Extinction" in the Resources section of the unit Moodle page to help you with the calculation.
Probability of ultimate extinction: To get the probability of ultimate extinction in a branching process, we need to calculate the value of o(q) = q where q is the probability of ultimate extinction.
Now, o(s) = (1/6) + (5/6)s²
Therefore, for the probability of ultimate extinction,
o(q) = q = (1/6) + (5/6)q²=> 6q² - 5q + 1 = 0
On solving the quadratic equation,
we get q = 1 or q = 1/6.
Thus, the probability of ultimate extinction is 1/6. Mean time to extinction:
To calculate the mean time to extinction, we can use the formula, E(T) = (1/o'(1))
where o'(1) is the first derivative of the generating function o(s) evaluated at s = 1.
Now, o(s) = (5/6) + (1/6)s=> o'(s) = (1/6)
On substituting s = 1, o'(1) = (1/6).
Thus, E(T) = (1/o'(1))= (1/ (1/6))= 6
The mean time to extinction is 6.
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Find the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it. Use a 0.03 margin of error and a confidence level of 99%. From a previous poll, it was found that 47% of the American respondents prefer to watch the news rather than read or listen to it.
To estimate the percentage of Americans who prefer to watch the news rather than read or listen to it with a 0.03 margin of error and 99% confidence level, the smallest sample size needed is 1,060.
To calculate the sample size, we can use the formula:
n = (Z² * p * (1 - p)) / E²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, for a 99% confidence level, Z ≈ 2.576)
p = estimated proportion of the population with the characteristic of interest (based on the previous poll, p = 0.47)
E = margin of error (E = 0.03)
Substituting the values into the formula, we have:
n = (2.576² * 0.47 * (1 - 0.47)) / 0.03²
n ≈ 1060
Therefore, the smallest sample size needed to estimate the percentage of Americans who prefer to watch the news rather than read or listen to it, with a 0.03 margin of error and 99% confidence level, is approximately 1,060. This means that a sample of at least 1,060 individuals should be surveyed to obtain reliable estimates with the desired level of confidence.
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Problem 3. Reformulate the following LP by the big-M method (only the reformulation is required, no need to solve the LP).
max 2x1 + x2 + X3 x
s.t.
X2+x3≥5
X1 X2 ≥1
x1 + x2+3x3 ≤ 25
X1, X2, X3 0
The reformulated problem includes the original variables x₁, x₂, x₃, and the additional slack variables s₁, s₂, and s₃. The objective function and constraints remain the same, but the problem has been transformed into an equality form suitable for applying the big-M method or other linear programming techniques.
To reformulate the given linear programming problem using the big-M method, we introduce additional binary variables and big-M constants. The reformulated problem is as follows:
maximize 2x₁ + x₂ + x₃
subject to:
x₂ + x₃ + s₁ = 5
x₁ - x₂ + s₂ = 1
x₁ + x₂ + 3x₃ + s₃ = 25
x₁, x₂, x₃, s₁, s₂, s₃ ≥ 0
where s₁, s₂, and s₃ are slack variables, and we choose a large positive constant M to represent infinity.
Introducing slack variable s₁ for the inequality constraint x₂ + x₃ ≥ 5:
We add s₁ to the left-hand side of the inequality to transform it into an equation: x₂ + x₃ + s₁ = 5.
Introducing slack variable s₂ for the inequality constraint x₁ - x₂ ≥ 1:
We subtract s₂ from both sides of the inequality to transform it into an equation: x₁ - x₂ + s₂ = 1.
Introducing slack variable s₃ for the inequality constraint x₁ + x₂ + 3x₃ ≤ 25: We subtract s₃ from the left-hand side of the inequality to transform it into an equation: x₁ + x₂ + 3x₃ + s₃ = 25.
Since all variables in the original problem are non-negative (x₁, x₂, x₃ ≥ 0), we explicitly state this in the reformulation.
Therefore, the reformulated problem includes the original variables x₁, x₂, x₃, and the additional slack variables s₁, s₂, and s₃. The objective function and constraints remain the same, but the problem has been transformed into an equality form suitable for applying the big-M method or other linear programming techniques.
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Incomplete question:
Reformulate the following LP by the big-M method (only the reformulation is required, no need to solve the LP).
maxₓ 2x₁ + x₂ + x₃
s.t.
x₂+x₃ ≥ 5
x₁ - x₂ ≥ 1
x₁ + x₂+ 3x₃ ≤ 25
x₁, x₂, x₃ ≥0
Find the equation for the
following parabola.
Focus (3, 4)
Directrix y = 2
A. (x-3)2 = 2(y-2.5)
B. (x-3)2 = 4(y-3)
C. (x-3)2 = (y-4)
D. (y-3)2 = 4(x-3)
Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)
The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:
(x - h)^2 = 4a(y - k)
The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:
(x - 3)^2 = 4(2)(y - 4)
Simplifying:
(x - 3)^2 = 8(y - 4)
The correct equation for the parabola is:
(x - 3)^2 = 8(y - 4)
Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)
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A student in your class mentally calculates 8+9 by noting that 8 is "1 less than 9", and, since 2 x 9 = 18, then 8 + 9 must be "1 less than 18," or 17. The equations representing this method are as follows: 1.8+9 (9-1) +9 ii. (9-1)+9=9+(9-1) iii. 9+ (9-1) (9+9)-1 iv. (9+9)-1-18-1 V. 18-1 17 Which properties of addition is the student implicitly using?
The student is implicitly using the commutative property and the associative property of addition.
i. (9-1) + 9: The student uses the commutative property, which states that the order of adding numbers does not affect the sum. They rearrange the terms to (9-1) + 9, recognizing that adding 9 after subtracting 1 is the same as adding 9 before subtracting 1.
ii. (9-1) + 9 = 9 + (9-1): Here, the student demonstrates the associative property. The associative property states that the grouping of numbers being added does not affect the sum. They regroup the terms to show that adding (9-1) first and then adding 9 is equivalent to adding 9 first and then subtracting 1.
iii. 9 + (9-1): The student does not explicitly demonstrate a property here. They simply perform the calculation of adding 9 and (9-1), recognizing that 9 minus 1 is 8.
iv. (9+9)-1-18-1: In this step, the student performs the subtraction calculations but does not demonstrate any particular property.
v. 18-1: Finally, the student calculates the subtraction and arrives at the answer 17.
So, the student implicitly uses the commutative property and the associative property of addition in their mental calculation.
Can someone help me with this. Thank you.
Answer:
All are true
Step-by-step explanation:
2) True
3) True
4) True
What is the diameter of a satellite dish with a circumference of 957.7?
Answer:
The diameter would be 305 m
Step-by-step explanation:
Answer:
305 assuming your using 3.14 for pi
Step-by-step explanation:
Find (f+g)(x).
f(x) = 1
-
x
g(x) = x^2 + 2x-5
Answer:
(f + g)(x) = x² + x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
Step 2: Solve
Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)Combine like terms (x): (f + g)(x) = x² + x - 5 + 1Combine like terms: (f + g)(x) = x² + x - 41. What does PEMDAS stand for?
P:
E:
M:
D:
A:
S:
Answer:
P- arenthesis
E- xpontent
M- ultiplication
D- ivision
A- ddition
S- ubtraction
Answer:
Step-by-step explanation:
p=parentheses
e=exponents
m=multiplication
d=division
a=addition
s=subtraction
you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:
Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour
The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.
a) For which people is plan A best? For which people is plan B best?
b) When are the costs of the two plans the same and what is the cost?
Answer:
a
Step-by-step explanation:
Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that in the next 18 samples, exactly 2 contains the pollutant.
(a) P(x≥≥4)
(b) P(x≤≤4).
(c) P(3≤≤x≤≤7)
The probability that in the next 18 samples, exactly 2 contain the pollutant is
P(x = 2) =[tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]
= 0.252.
The given is Each sample of water has a 10% chance of containing a particular organic pollutant.
Assume that the samples are independent with regard to the presence of the pollutant.
We need to find the probability that in the next 18 samples, exactly 2 contain the pollutant.
We can use the Binomial distribution formula to solve this problem.
The binomial distribution formula is given by:
P(x) = [tex]C(n, x) px qn-x[/tex]
Where n is the number of trials, x is the number of successes, p is the probability of success, and q is the probability of failure.
Since there is a 10% chance of containing a particular organic pollutant, the probability of success is:
p = 0.1
The probability of failure is:
q = 1 - p
= 1 - 0.1
= 0.9
Number of trials (samples) is n = 18
(a) To find P(x≥≥4)
We need to find the probability that 2 or more samples contain the pollutant.
We can do this by subtracting the probability that less than 2 samples contain the pollutant from 1.
P(x ≥ 2) = 1 - P(x < 2)P(x < 2)
= P(x = 0) + P(x = 1)P(x = 0)
= C(18, 0) (0.1)0 (0.9)18
= [tex]0.9^18[/tex]
P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]
= 0.33
P(x < 2) = [tex]0.9^18[/tex]+ 0.33
= 0.335
P(x ≥ 2) = 1 - 0.335
= 0.665
(b) To find P(x≤≤4)
We need to find the probability that 4 or less samples contain the pollutant.
P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)P(x = 0)
= C(18, 0) (0.1)0 (0.9)18
= [tex]0.9^18[/tex]
P(x = 1) = [tex]C(18, 1) (0.1)^1 (0.9)^17[/tex]
= 0.33
P(x = 2) = [tex]C(18, 2) (0.1)^2 (0.9)^16[/tex]
= 0.053
P(x = 3) = [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]
= 0.0047
P(x = 4) =[tex]C(18, 4) (0.1)^4 (0.9)^14[/tex]
= 0.0003
P(x ≤ 4) = 0.9^18 + 0.33 + 0.053 + 0.0047 + 0.0003
= 0.288
(d) To find P(3≤≤x≤≤7)
We need to find the probability that between 3 and 7 (inclusive) samples contain the pollutant.
P(3 ≤ x ≤ 7) = P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6) + P(x = 7)P(x = 3)
= [tex]C(18, 3) (0.1)^3 (0.9)^15[/tex]
= 0.0047
P(x = 4) = C(18, 4) (0.1)^4 (0.9)^14
= 0.0003
P(x = 5) = [tex]C(18, 5) (0.1)^5 (0.9)^13[/tex]
= 0.00001
P(x = 6) = [tex]C(18, 6) (0.1)^6 (0.9)^12[/tex]
= 2.15e-07
P(x = 7) = [tex]C(18, 7) (0.1)^7 (0.9)^11[/tex]
= 4.7e-10
P(3 ≤ x ≤ 7) = 0.0047 + 0.0003 + 0.00001 + 2.15e-07 + 4.7e-10
= 0.00471
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Can you help me in this please No links or spams or bots or report
Answer:
Monday - 7 hr 30 mins
Wednesday - 9 hr 30 mins
Friday - 7 hr
Saturay - 5 hr 30 mins
---------------------------------------------------------------
If you earn $12.40 per hour, first you must find how many hours you worked total - in this case, 29 hr and 30 mins.
So you would be making $359.60 per week.
how do you solve this ?
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
x=37.3
Step-by-step explanation:
Since we're looking for "x" we need to use "the Pythagorean theorem".
13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.
Since x is the hypotenuse, it needs to be a number greater than 13 and 35.
c=√(a² + b²)
Making it c=√(13² + 35²)
Making C=37.336 or 37.3
Therefore making, x=37.3
Ahh i hate math fr someone help
Nahla Burtoni is buying her first home for $125,000. She has been granted
a mortgage loan at an annual interest rate of 8.5% for 20 years with a
$25,000 down payment. Closing costs are 2% of the amount of the
mortgage loan and will be financed as part of the mortgage. What is the
actual amount financed with the mortgage?
O $100,000
O $102,000
O $120,000
O $125,000
Answer: the answer is B!!!!!!!!!!!!!!
Step-by-step explanation:
CAN SOMEONE IN THIS APP HELP PLEASE
Answer:
15 feet
Step-by-step explanation:
The distance from the foot of the ladder to the person is 6 feet. The person is also 6 feet. Therefore that mini triangle's length and width are both 6 feet.
The distance from the foot of the ladder to the wall is 15 feet. This is now a simple ratio. The length of the mini triangle is 6 to length of the larger triangle, 15. The height ratio is the mini triangle is 6 to the bigger triangle, x.
The height of the bigger triangle is the height of the wall. (Since the two are similar, then we can automatically deduce the height is 15.) But if you wanted to work out the ratio above ^^ you would multiply the 6 diagnol to the 15 and then divide by the last 6 to get 15.
Good art is art that allows you to enter it from a variety of angles and to
emerge with a variety of views."" what is you insights about this quotes?
Answer:
Step-by-step explanation:
My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.
What number is equal to (1/6)^4?
Answer:
1/5
Step-by-step explanation:
i searched it up yikessssssss
The value of the given term is 1296.
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given the number as [tex]\dfrac{1}{6} ^{-4}[/tex]
Here we can see that the power is negative so we can just reciprocal the term.
Then we get;
6^4
this means 6 x6x6x6 = 1296
The correct value is 1296.
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Oliver just accepted a job at a new company where he will make an annual salary of
$54000. Oliver was told that for each year he stays with the company, he will be
given a salary raise of $3000. How much would Oliver make as a salary after 6 years
working for the company? What would be his salary after t years?
Answer:
After 6 Years: 54000*6 + 3000*5 = 339,000
After t years: 54000*t + 3000*(t-1) = 57000 t - 3000
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
$358,000
Step-by-step explanation:
He makes $54k dollars "annual" = per year
Each year he stays he gets $3k worth of a raise
He stays 6 years so
3000 x 6 = 18k
54,000 x 6= 340,000
so then you just add
18,000 + 340,000=
358,000
I hope that helps :D
In 2015, Mrs. Jonos paid $630 in Medicare
taxes. This represents 1% of her salary. What
was Mrs. Jones's gross income in 2015?
PLEASE HELP FAST NEED IT FAST =)
Which pair of triangles demonstrates congruence with the AAS Postulate?
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
brainliest?
Question 3
1 pts
meters, will the period of a pendulum be 3 seconds? Use the formulas T = a[.where the proportionality constant,
The acceleration of gravity on Mars is 3.69 For what length
2 TT
a. depends on the acceleration of gravity: a =
vg
0.92 meters
0.84 meters
0.66 meters
A submarine was situated 475 feet below sea level. if it ascends 150 feet, what is its new position relative to the sea level?
Answer:
325 feet below sea level i believe
Step-by-step explanation:
PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
D)
Step-by-step explanation:
It looks like the most sense
6,6 and 7 units down and 5 units left where is t'
Answer:
it's 1,-1
Step-by-step explanation:
hoped I helped. I'm good at these.
find the area of the rectangle PLUM khan academy
Answer:
Length x Breadth
Step-by-step explanation:
Let x = 9a - 7, where a is an integer. What is x mod 3?
For x = 9a - 7, where a is an integer, the value of x mod 3 is determined using the remainder when x is divided by 3, and it is equal to 2.
To find the value of x mod 3, we need to determine the remainder when x is divided by 3.
The expression x = 9a - 7, where a is an integer, allows us to calculate x mod 3.
To find x mod 3, we substitute the given expression x = 9a - 7 into the equation:
x mod 3 = (9a - 7) mod 3.
To simplify the expression, we can use the properties of modular arithmetic.
First, we can rewrite 9a as (3 × 3a) and distribute the modulus operator:
(9a - 7) mod 3 = ((3 × 3a) - 7) mod 3.
Next, we can separate the modulus operation:
((3 × 3a) - 7) mod 3 = ((3 × 3a) mod 3 - 7 mod 3) mod 3.
Since 3 is congruent to 0 mod 3, the first term becomes 0:
((3 × 3a) mod 3 - 7 mod 3) mod 3 = (0 - 7 mod 3) mod 3.
The second term, 7 mod 3, can be simplified as the remainder when 7 is divided by 3, which is 1:
(0 - 7 mod 3) mod 3 = (0 - 1) mod 3 = -1 mod 3.
Finally, we can find the remainder when -1 is divided by 3, which is 2:
-1 mod 3 = 2.
Therefore, x mod 3 is equal to 2.
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On January 1, 2020, SugarBear Company acquired equipment costing $150,000, which will be depreciated on the assumption that the equipment will be useful for five years and have a residual value of $12,000. The estimated output from this equipment is as follows: 2020-15.000 unit; 2021-24,000 units; 2022-30,000 units: 2023-28,000 units: 2024-18,000 units. The company is now considering possible methods of depreciation for this asset.
Required
Calculate what the depreciation expense would be for each year of the asser's life, if the company chooser
The straight-line method 1. The units-of-production method
li. The double-diminishing-balance atlad
D. Bnefly discuss the criteria that a company sad ce seer when selecting a depreciation method.
When the total number of units produced over the five-year period is 125,000 units, the depreciation will be $1.20 pee unit.
How to calculate the valueThe total number of units produced over the five-year period is 125,000 units. Therefore, the depreciation expense for each year would be calculated as follows:
Depreciation expense = (Cost of asset - Residual value) / Total number of units produced
Depreciation expense = ($150,000 - $12,000) / 125,000 units
Depreciation expense = $1.20 per unit
There are several factors that a company should consider when selecting a depreciation method. These factors include:
The type of asset being depreciated.The useful life of the asset.The expected pattern of depreciation.The tax implications of the different methods.The type of asset being depreciated is an important factor to consider because different assets have different useful lives and expected patterns of depreciation. For example, a machine that is expected to be used for five years would be depreciated using a different method than a building that is expected to be used for 30 years.
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Write the first four terms of the sequence{an}defined by the following recurrence relation.
an+1=2a2n-1;a1=0
The first 4-terms of sequence {aₙ} defined by recurrence-relation : aₙ₊₁ = 2aₙ²-1; a₁ = 0 are 0, -1, 1 and 1.
To find the first four terms of the sequence {aₙ} defined by the recurrence relation aₙ₊₁ = 2aₙ² - 1, with the initial-condition a₁ = 0, we apply the recurrence relation,
Starting with a₁ = 0, we can find the subsequent terms as follows:
⇒ a₂ = 2a₁² - 1 = 2(0)² - 1 = -1
⇒ a₃ = 2a₂² - 1 = 2(-1)² - 1 = 1
⇒ a₄ = 2a₃² - 1 = 2(1)² - 1 = 1
Therefore, the first four terms of the sequence are : a₁ = 0, a₂ = -1, a₃ = 1
and a₄ = 1.
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The given question is incomplete, the complete question is
Write the first four terms of the sequence {aₙ} defined by the following recurrence relation.
aₙ₊₁ = 2aₙ²-1; a₁ = 0.
What is the area of this quadrilateral?
4 ft
3 ft
10 ft
10 ft
31
4 ft
Answer:
42
Step-by-step explanation:
Answer:
42 square feet
Step-by-step explanation:
add all of the square feet together, including the sides parallel that don't tell you how many inches. What I mean by parallel is the sides across from it.