As per the given average, the solution of the breakeven w/ hidden costs is 62% higher.
Let's assume that the costs associated with running a 315-ticket run are $7,592. This means that on average, each ticket needs to sell for $24.10 (($7,592/315) = $24.10) to break even.
Similarly, if we consider the other two runs, we can calculate the average number of tickets needed to break even per show as follows:
For the 323-ticket run, the average number of tickets needed to break even per show is 65. (($7,784/323) = $24.10)
For the 331-ticket run, the average number of tickets needed to break even per show is 56. (($7,977/331) = $24.10)
Furthermore, we can calculate the break-even occupancy percentage for each run, which is the percentage of tickets that need to be sold to break even. The break-even occupancy for each run is as follows:
For the 331-ticket run,
=> 56/331 = 0.17 or 17%,
=> 1-0.17 = 0.83 or 83%,
=> 0.83/0.17 = 4.88,
=> 4.88 x 100% = 488%,
=> 488% x 0.62 = 303%,
=> 303%/4.88 = 62%
Hence the break-even occupancy is 62%.
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the radius of a sphere decreases at a rate of 3 m / s . find the rate at which the surface area decreases when the radius is 8 m . answer exactly or round to 2 decimal places.
The rate at which the surface area of the sphere is decreasing when the radius is 8 meters and decreasing at a rate of 3 m/s is approximately -192π square meters per second.
Let's start by finding the formula for the surface area of a sphere. The surface area (A) of a sphere with radius (r) is given by the formula:
A = 4πr²
Now, we need to find the rate at which the surface area is changing with respect to time (t) when the radius is 8 meters and the rate of change of radius is 3 m/s.
To find dA/dt, we need to differentiate the formula for surface area with respect to time, using the chain rule:
dA/dt = d/dt (4πr²) = 8πr (dr/dt)
Here, we have used the fact that the derivative of r² with respect to time is 2r (dr/dt) by the chain rule. Now, we can substitute the given values into the formula to find the rate of change of surface area:
r = 8 m (given)
dr/dt = -3 m/s (negative sign because the radius is decreasing)
π ≈ 3.14 (constant)
dA/dt = 8πr (dr/dt)
dA/dt = 8π(8)(-3)
dA/dt = -192π
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pls help i need this by today
Answer: 131.95 cm
Step-by-step explanation:
The diameter of the semicircle is 42 cm, which means the radius is half of that:
r = d/2 = 42/2 = 21 cm
The circumference of a full circle with radius "r" is given by the formula:
C = 2πr
Since this is a semicircle, we need to divide the circumference by 2:
C/2 = πr
Substituting the value of "r" we found above, we get:
C/2 = π(21)
Simplifying:
C/2 = 21π
C = 2(21π)
C ≈ 131.95
Rounding to the nearest hundredth, we get:
C ≈ 131.95 cm
Therefore, the circumference of the semicircle is approximately 131.95 cm.
1. Jill wrote the number 40. If her rule is add 7, what is the fourth
number in Jill's pattern? How can you check your answer?
Answer: Jills fourth number is 28
Step-by-step explanation:
.a semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. find the height of the arch at a distance of 1.5 m from the center of the arch.
The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters
The shape of a semi-elliptical arch can be described by the equation:
y = c * sqrt(1 - (x/a)^2)
where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.
In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.
Substituting these values into the equation, we get:
y = 2 * sqrt(1 - (1.5/3)^2)
y = 2 * sqrt(1 - 0.25)
y = 2 * sqrt(0.75)
y = 2 * 0.866
y = 1.732
Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D
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Your question is incomplete, but probably the complete question is :
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
A. 1.41 m C. 1.56 m
B. 1.63 m D. 1.73 m
Let sin 60° =
√3
2
Find the measure of angle 3, in degrees, for cos
√√3
2
Answer/Step-by-step explanation:
We know that sin 60° = √3/2, and we can use this information to find cos 60°:
cos 60° = √(1 - sin^2 60°) = √(1 - 3/4) = √(1/4) = 1/2.
To find the measure of angle 3, we can use the formula:
cos(180° - 2x) = -cos(2x)
We want to solve for x when cos 2x = √(√3/2) = √3/2 * 1/√2 = √3/2√2
cos(180° - 2x) = -cos(2x)
cos(2x) = √3/2√2
180° - 2x = 150° or 210°
x = 15° or 35°
Therefore, the measure of angle 3 can be either 15° or 35°.
Jason worked for 14/3 hours on Monday, and his friends Sheldon worked for 25/6 hours.How many more hours did Jason work than Sheldon?
Answer:
Step-by-step explanation:
To find out how many more hours Jason worked than Sheldon, we need to subtract the number of hours Sheldon worked from the number of hours Jason worked:
Jason's hours = 14/3
Sheldon's hours = 25/6
Jason's hours - Sheldon's hours = (14/3) - (25/6)
To subtract fractions, we need to have a common denominator, which in this case would be 6:
(14/3) - (25/6) = (28/6) - (25/6) = 3/6
Simplifying the result, we get:
3/6 = 1/2
Therefore, Jason worked 1/2 more hours than Sheldon.
Jason worked 1/3 more hours than Sheldon.
To find out how many more hours Jason worked than Sheldon, we need to subtract the number of hours Sheldon worked from the number of hours Jason worked.
Jason worked for 14/3 hours, which can be simplified to 4 and 2/3 hours. Sheldon worked for 25/6 hours, which can be simplified to 4 and 1/6 hours.
Subtracting the hours Sheldon worked from the hours Jason worked, we get: 4 and 2/3 - 4 and 1/6 = 2/3 - 1/6 = 1/3.
Therefore, Jason worked 1/3 more hours than Sheldon.
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Translate the figure 5 units left and 5 units up. -10-9 Plot all of the points of the translated figure. You may click a plotted point to delete it.
I hoped this helped!
: )
Step-by-step explanation:
originally - (6,-1) After translation - (1,4)
originally - (8,-1) After translation - (3,4)
originally - (4,-7) After translation - (-1,-2)
originally - (7,-9) After translation - (3,-4)
originally - (9,-9) After translation - (4,-4)
SOMEBODY HELP ME PLEASE
Answer:
The volume is 1474.45 mm^2
Step-by-step explanation:
First, you have to find the radius. To do this, you divide the diameter by 2. This means that the radius is 8.
Then you use the formula V=3.14*r^2*(h/3)
V=3.14*8^2*(22/3)=1474.45 mm^2
92 divided by 378 I need this rn pls!! If you can help!
Answer:
4 for up but of R it is 10
Step-by-step explanation:
378/92 equals 4 but 10 is the remainder
In the following table, individuals are cross-classified by their age group and income level.
Income
Age. Low. Medium. High
21-35. 120. 100. 75
36-50. 150. 160. 100
51-65. 160 180. 160
Which of the following is the estimated joint probability for the "low income and 21-35 age group" cell?
The estimated joint probability for the "low income and 21-35 age group" cell is 0.108.
In the table given, individuals are cross-classified by their income level and age group. We have to find the estimated joint probability for the "low income and 21-35 age group" cell. The joint probability of the low income and 21-35 age group is calculated as follows;
From the given table, the number of people in the "low income and 21-35 age group" cell is 120.The total number of people in the sample = 120 + 100 + 75 + 150 + 160 + 100 + 160 + 180 + 160 = 1105.
The estimated joint probability for the "low income and 21-35 age group" cell is:P(Low income, 21-35 age group) = 120/1105P(Low income, 21-35 age group) = 0.108. Therefore, the estimated joint probability for the "low income and 21-35 age group" cell is 0.108.
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Question 17
USE A MODEL It takes one fuel line 3 hours to fill an oil tanker. How fast must a second fuel line be able to fill the oil tanker so that, when
used together, the two lines will fill the tanker in 45 minutes?
It must be able to fill the tanker in
hour(s).
The second fuel line must be able to fill the oil tanker at a rate of 2.67 tanks per hour in order to fill the tanker in 45 minutes when used together with the first fuel line.
Let's first find the rate of the first fuel line, which can fill the oil tanker in 3 hours. The rate is calculated as follows:Rate of the first fuel line = 1 tank / 3 hours = 1/3 tanks per hour
Let's assume that the rate of the second fuel line is x tanks per hour. When both fuel lines are used together, their combined rate is the sum of their individual rates:
Combined rate = Rate of the first fuel line + Rate of the second fuel line
We need to fill the tanker in 45 minutes, which is 0.75 hours. So, we can set up the equation:1 tank / 0.75 hours = (1/3) tank per hour + x tanks per hour
Simplifying the equation, we get:
1 tank / 0.75 hours - 1/3 tank per hour = x tanks per hour
x = (1 tank / 0.75 hours - 1/3 tank per hour)
x = 2.67 tanks per hour
Therefore, the second fuel line must be able to fill the oil tanker at a rate of 2.67 tanks per hour in order to fill the tanker in 45 minutes when used together with the first fuel line.
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I NEED HELP! BRAINLIEST!
Answer: 40/7 or 5.7
Step-by-step explanation:
using angle bisector theorem we get,
x/5 = 8/7
Upon substituting our given values in above equation, we will get:
x/5 X 5 = 8/7 X 5
x = 40/7 or 5.7
Answer:
3.3
Step-by-step explanation:
Angle bisector theorem: In a triangle, the angle bisector of any angle will divide the opposite side in the ratio of the sides containing the angle.
[tex]\dfrac{x}{8-x}=\dfrac{5}{7}[/tex]
Cross multiply,
x *7 = 5*(8 - x)
7x = 40 - 5x
7x + 5x = 40
12x = 40
[tex]x = \dfrac{40}{12}\\\\x = 3.3[/tex]
25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus
There are 300 ways a person can go from P to Q and return by a different bus.
To find the number of ways a person can go from P to Q and return by a different bus, we can use the combination formula:
nCr = n! / (r! × (n-r)!)
where n is the total number of options, and r is the number of choices we want to make.
In this case, there are 25 buses running between P and Q, so the total number of options for going from P to Q and returning by a different bus is 25 × 24 (since we have 25 choices for the first leg of the journey, and 24 choices for the second leg).
To find the total number of ways to make this choice, we can use the combination formula with n = 25×24 and r = 2
nCr = (25×24)! / (2! × (25×24-2)!)
= (25 × 24)! / (2! × 23!)
= (25×24) / 2
= 300
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I need help show work
Based on the past week's sales data, the baker can expect to sell Option C 220 caramel, 130 gingerbread, and 420 mint choco chip cookies.
What is population and sample?The population in statistics refers to the total set of people or things that we are attempting to analyse and make conclusions about. Typically, this group is too big to see or measure directly, so we use statistical methods to infer some of its features from a smaller collection of people or things, known as a sample. A representative portion of the population was selected for the sample in order to learn more about the population as a whole. The purpose of statistical analysis is to draw conclusions about the population using data from the sample.
The number of weeks in a month= 4.
Using the given table the estimated number of sales for the month are:
Salted caramel: 51 x 4 = 204
Gingerbread: 31 x 4 = 124
Mint: 99 x 4 = 396
Hence, based on the past week's sales data, the baker can expect to sell Option C 220 caramel, 130 gingerbread, and 420 mint choco chip cookies.
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4 feet are cut from a 12 foot board. What is the percent decrease in length
Answer:
There was a 33.3% decrease in length.
Step-by-step explanation:
4/12 = 0.33333333
0.333333*100 = 33.3%
juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
2. Claire earns $92, 400 a year gross pay as a company president. She has 5%of her gross pay deposited into a 401(k) retirement plan. How much money does Claire's company deposit into her 401(k)
retirement plan each month?
$300
$385
$275
$325
Therefore , the solution of the given problem of unitary method comes out to be choice B $385 is the correct response.
An unitary method is what ?The objective can be accomplished by using what was variable previously clearly discovered, by utilizing this universal convenience, or by incorporating all essential components from previous flexible study that used a specific strategy. If the anticipated claim outcome actually occurs, it will be feasible to get in touch with the entity once more; if it isn't, both crucial systems will undoubtedly miss the statement.
Here,
We must first determine how much is deducted from Claire's gross salary annually for the 401(k) plan in order to determine
how much money is deposited into her retirement account by her employer each month.
Since we are aware that Claire contributes 5% of her total income to her 401(k),
we can figure out how much she contributes as follows:
=> 0.05 x $92,400 = $4,620
As a result, Claire's 401(k) plan deducts $4,620 from her total income each year. We can reduce this amount by 12 (the number of months in a year) to determine how much it is per month:
=> $4,620 ÷ 12 = $385
As a result, Claire's employer contributes $385 each month to her 401(k) savings account.
Therefore, choice (B) $385 is the correct response.
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Can someone please help me answer these I’m gonna have a lot of these on my test I just need help answering this one and if you could please try to explain it to me to that would be great
The formula for percent from the board can be expressed this way:
The total number of students that like pineapple pizza * 100.
The total number of students
A (i). The part is the number of students that like pineapple pizza which is 5.
(ii). The whole is the total number of students namely; 7 + 12+ 5 + 3 + 6 = 33.
(iii). Plugging the part and whole into the equation, we will have: 5/33 * 100
(iv). Final answer is = 15.15%
What is a percentage?A percentage is a mathematical expression that is aimed at calculating the proportion of a given quantity out of 100. In the question, we are requested to find what proportion of students like pineapple pizza.
To get the answer, we first have to determine the number of students that like pineapple pizza which is 5 according to the table. Next, we get the sum of students which is 33. The percentage will then get the fraction and multiply the result by 100. The final answer is 15.15%.
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(a) In the figure below, m VW = 54° and m X Y = 94°. Find mVZW.
(b) In the figure below, mAEB = 58 degrees and mCD = 39 degrees. Find mAB
Answer: 65
Step-by-step explanation:
GIVING BRAINLIEST FOR RIGHT ANSWER (provide proof please i need to know how you got the answer)
Can someone help me out with this?
The equation in slope-intercept form that describes the relationship in the graph is: y = -20x + 100.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It contains one or more variables, and the values of these variables can be solved for to make the equation true. An equation can be represented using symbols, numbers, and operators such as addition, subtraction, multiplication, division, and exponents. Equations are used in many fields of mathematics and science, and they are a fundamental tool for solving problems and making predictions.
Here,
Part A:
The equation in slope-intercept form that describes the relationship in the graph is:
y = -20x + 100
Part B:
To determine the equation, we need to find the slope of the line passing through the two given points.
Slope, m = (change in y) / (change in x)
m = (0 - 100) / (5 - 0)
m = -20
The y-intercept can be found by substituting the slope and any point on the line into the slope-intercept form of the equation:
y = mx + b
100 = (-20)(0) + b
b = 100
Therefore, the equation in slope-intercept form is:
y = -20x + 100
Part C:
In the given situation, the slope represents the rate of decrease in the percentage of battery remaining per hour. The negative value indicates that the percentage of battery remaining decreases over time, and the magnitude of the slope (-20) indicates that the battery percentage decreases by 20% per hour.
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volume of a sphere = ³, where r is the radius. The radius of a spherical planet is 6052 km, and its mass is 4.87 × 1027g. Calculate the density of the planet in kilograms per cubic metre (kg/m³). Give your answer in standard form to 3 s.f.
Answer:
5240 kg/m³
Step-by-step explanation:
You want the average density of a planet with radius 6052 km and mass 4.87×10^27 g.
Unit conversionThe mass is given in grams, and the corresponding unit in the desired answer is kilograms. There are 1000 g in 1 kg, so 4.87×10^27 g = 4.87×10^24 kg.
The radius is given in km, and the corresponding unit in the desired answer is meters. There are 1000 meters in 1 km, so 6052 km = 6052×10^3 m. (We could adjust the decimal point, but we choose to let the calculator do that.)
DensityThe units of density tell you it is computed by dividing the mass by the volume:
ρ = mass/volume
The volume of the sphere is found using the given formula, so the density is ...
ρ = (4.87×10^24 kg)/(4/3π(6052×10^3 m)^3)
ρ ≈ 5240 kg/m³
The average density of the planet is about 5240 kg/m³.
__
Additional comment
This is comparable to the average density of Earth, which is about 5520 kg/m³.
You are given 0.10 g samples of Na, Y. Go, and Mn. List the samples in order of the amount (moles) from smallest to largest OY
Therefore, the order of the samples from smallest to largest amount (moles) of OY is: Go, Y, Na, Mn.
In order to list the samples in order of the amount (moles) from smallest to largest OY, we need to calculate the number of moles of each element. Let's start with the given samples:Na -[tex]0.10 gY - 0.10 gGo - 0.10 gMn - 0.10 g[/tex]
Now, let's find the number of moles of each element:Na: The molar mass of Na is 22.99 g/mol.Number of moles of Na = mass of Na/molar mass of Na= 0.10 g/22.99 g/mol= 0.00435 molY: The molar mass of Y is 88.91 g/mol.Number of moles of Y = mass of Y/molar mass of Y= 0.10 g/88.91 g/mol= 0.00112 molGo: The molar mass of Go is 118.71 g/mol.Number of moles of Go = mass of Go/molar mass of Go= 0.10 g/118.71 g/mol= 0.00084 molMn: The molar mass of Mn is 54.94 g/mol.
Number of moles of Mn = mass of Mn/molar mass of Mn= 0.10 g/54.94 g/mol= 0.00182 molNow, we can list the samples in order of the amount (moles) from smallest to largest OY:Go (0.00084 mol) < Y (0.00112 mol) < Na (0.00435 mol) < Mn (0.00182 mol)
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In a car park,
the number of cars: the number of vans = 7:4
the number of vans: the number of lorries = 3:2
The total number of cars, vans and lorries in the car park is 205
How many vans are in the car park?
Therefore , the solution of the given problem of unitary method comes out to be the parking lot has 60 trucks.
What is an unitary method?It is possible to accomplish the objective by using this widespread convenience, pre-existing variables, or all significant components from the initial Diocesan adaptable survey that adhered to a specific methodology. If it doesn't, both of the essential components of a term confirmation outcome will undoubtedly be lost, but if it is, there is going to be another opportunity to contact the entity.
Here,
Let's begin by giving the unknowns variables:
x = number of vehicles
Van count = 4 times
Since there are 205 cars overall, the number of lorries is equal to (205 - 11x).
The value of x can be determined using the second bit of knowledge:
=> 4x/3 = (205 - 11x)/2
When we simplify this solution, we obtain:
=> 8x = 3(205 - 11x)
=> 8x = 615 - 33x
=> 41x = 615
=> x = 15
We can now determine the quantity of vans:
Van count = 4x = 4(15) = 60
Consequently, the parking lot has 60 trucks.
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one-tailed two-tailed a) a pharmacist wants to test whether the effect of a placebo is different from zero. b) holdem motors wants to test whether the mean time to assemble a car is less than 24 hours. c) ihi insurance wants to test whether the mean time to process a claim is less than 7 days
The appropriate type of test for each scenario is a) a two-tailed test, b) a one-tailed test, and c) a one-tailed test.
a) This would be a two-tailed test as the pharmacist is testing for a difference, rather than a specific direction of effect.
b) This would be a one-tailed test as Holdem Motors is specifically testing whether the mean time to assemble a car is less than 24 hours, rather than testing for a difference in either direction.
c) This would be a one-tailed test as IHI Insurance is specifically testing whether the mean time to process a claim is less than 7 days, rather than testing for a difference in either direction.
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bobby has 37 pineapples and johnny has 35 times more pineapples than bobby. how many more pineapples does johnny have than bobby?
Johnny has 1258 more pineapples than Bobby.
Bobby has 37 pineapples, Johnny has 35 times more pineapples than Bobby. To find how many more pineapples does Johnny have than Bobby, we can use the below formula,
More pineapples = Johnny's pineapples - Bobby's pineapples
Let x be the number of pineapples that Bobby has. Therefore, the number of pineapples owned by Johnny is 35x.
It is given that Bobby originally has 37 pineapples, thus x = 37. The number of pineapples Johnny has = 35*37 = 1295
Thus, difference in number of pineapples between Johnny and Bobby:
=1295-37 = 1258
Therefore, Johnny has 1258 more pineapples than Bobby.
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math hw please helpppp
The characteristics of each function has been explored based on the table below.
The graph of each function is shown in the image attached below.
How to complete the table and graph the functions?In order to use the given functions to complete the table, we would have to substitute each of the values of x (x-values) into the function and then evaluate as follows;
A. f(x) = 2x
x process f(x)
-2 f(-2) = 2(-2) -4
-1 f(-1) = 2(-1) -2
0 f(0) = 2(0) 0
1 f(1) = 2(1) 2
2 f(2) = 2(2) 4
B. G(x) = x²
x process f(x)
-2 f(-2) = (-2)² 4
-1 f(-1) = (-1)² 1
0 f(0) = (0)² 0
1 f(1) = (1)² 1
2 f(2) = (2)² 4
B. H(x) = 2ˣ
x process f(x)
-2 f(-2) = (2)⁻² 1/4
-1 f(-1) = (2)⁻¹ 1/2
0 f(0) = (2)⁰ 1
1 f(1) = (2)¹ 2
2 f(2) = (2)² 4
In this scenario and exercise, we would use an online graphing calculator to plot each of the given functions as shown in the graph attached below.
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How tell what the equation is if the vertical line is going through the y-axis?
Answer:
The equation of a vertical line in the graph, which is parallel to y-axis is x = a. The slope of a vertical line is infinity or undefined as it has no y-intercept and the denominator in the slope formula is zero.
Step-by-step explanation:
A random sample of 100 likely voters in a small city produced 59 voters in favor of CandidateA. The observed value of the test statistic for testing the null hypothesis H0: p = 0.5 versus thealternative hypothesis H1: p > 0.5 is: D(a) z= 0.59 — 0.5/√0.59(0.41)/100(b) z= 0.59 — 0.5/√0.5(0.5)/100(c) z= 0.5 — 0.59 /√0.59(0.41)/100(d) z= 0.5 — 0.59 /√0.5(0.5)/100(e) z= 0.59— 0.5/√0.5(0.5)/100
Therefore, the observed value of the test statistic for testing the null hypothesis H0: p = 0.5 versus the alternative hypothesis H1: [tex]p > 0.5[/tex]is z= 1.8. The correct answer is (e) z=[tex]0.59— 0.5/√0.5(0.5)/100.[/tex]
In this particular question, the observed value of the test statistic for testing the null hypothesis H0: p = 0.5 versus the alternative hypothesis H1: p > 0.5 is to be determined. The question provides a random sample of 100 likely voters in a small city, which produced 59 voters in favor of Candidate A. The formula for calculating the test statistic is as follows:
z= (p- P) / sqrt[P(1-P) / n]
where p is the sample proportion, P is the hypothesized population proportion, and n is the sample size.
Substituting the given values into the formula, we get:
z= [tex](0.59- 0.5) / sqrt[0.5(0.5) / 100][/tex]
z= [tex]0.09 / 0.05[/tex]
z=[tex]1.8[/tex]
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How much will a new TV be worth now if it depreciates by 9% each month, and you bought it new 8 months ago for $2740?
Give your answer to two decimal places.
How much it's worth after 8 months =$
Answer:
To find out how much the TV is worth now, we need to apply the depreciation rate of 9% to the original price for 8 months:
First, let's calculate the value after the first month:
Value after 1 month = $2740 - (9% of $2740) = $2501.40
Now, let's calculate the value after 2 months:
Value after 2 months = $2501.40 - (9% of $2501.40) = $2275.80
We can continue this process for 8 months to find the current value:
Value after 3 months = $2071.67
Value after 4 months = $1888.81
Value after 5 months = $1725.10
Value after 6 months = $1579.92
Value after 7 months = $1452.16
Value after 8 months = $1339.53
Therefore, the TV is worth $1,339.53 now.