granite state airlines serves the route between new york and portsmouth, nh, with a single-flight- daily 100-seat aircraft. the one-way fare for discount tickets is $100, and the one-way fare for full- fare tickets is $400. discount tickets can be booked up until two weeks in advance, and all discount passengers book before all full-fare passengers. over a long history of observation, the airline estimates that full-fare demand is normally distributed, with a mean of 56 passengers and a standard deviation of 23, while discount-fare demand is normally distributed, with a mean of 88 passengers and a standard deviation of 44.
Answers
The airline estimates that demand for full-fare tickets follows a normal distribution with a mean of 56 passengers and a standard deviation of 23, while demand for discount tickets follows a normal distribution with a mean of 88 passengers and a standard deviation of 44.
Granite State Airlines operates a route with a 100-seat aircraft, offering two types of tickets: discount and full-fare. Discount tickets cost $100 and can be booked up to two weeks in advance, whereas full-fare tickets cost $400. The airline has observed historical data and determined that demand for full-fare tickets is normally distributed with a mean of 56 passengers and a standard deviation of 23. On the other hand, demand for discount tickets is also normally distributed but has a higher mean of 88 passengers and a larger standard deviation of 44.
Additionally, the airline follows a booking policy where all discount passengers book before any full-fare passengers. This implies that the airline first accommodates all passengers who have booked discount tickets and then assigns remaining seats to full-fare passengers. By understanding the demand distribution and the booking policy, Granite State Airlines can make informed decisions regarding ticket pricing, capacity allocation, and revenue management strategies to optimize their operations on the New York to Portsmouth route.
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Related Questions
please help asap..A rice dish requires 1/3 cups of rice for every 3/4 cups of water. How many cups of rice is needed per cup of water? Enter your answer in the boxes as a fraction in simplest form.
Answers
2.25 cups of rice is needed for a cup of water
From the question, we are told that a rice dish requires 1/3 cups of rice for every 3/4 cups of water. This can be expressed as:
1/3 cups of rice = 3/4 cups of water
For a cup of water;
x = 1 cup of water
Divide both expressions
1/3x = 3/4
Cross multiply
9x = 4
x = 9/4
x = 2.25
Hence 2.25 cups of rice is needed for a cup of water
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Samir recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Instrument # of Students Guitar 6 Bass 4 Drums 6 Keyboard 7 Eighth Grade Students Instrument # of Students Guitar 9 Bass 9 Drums 9 Keyboard 10 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a fraction in simplest form.
Answers
Using it's concept, it is found that there is a \(\frac{17}{23}\) probability that a seventh grader chosen at random will play an instrument other than drums.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of 6 + 4 + 6 + 7 = 23 seventh graders.Of those, 23 - 6 = 17 play instruments that are not the drum.Hence:
\(p = \frac{17}{23}\)
There is a \(\frac{17}{23}\) probability that a seventh grader chosen at random will play an instrument other than drums.
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find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
Answers
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
\(\mathbf{A =176}\) --- area of the shaded region
\(\mathbf{w = 2}\) --- the width of the shaded region
The area of the complete circle would be:
\(\mathbf{A_1 =\pi (r + w)^2}\)
The area of the small circle is:
\(\mathbf{A_2 =\pi r^2}\)
So, the area of the shaded region is:
\(\mathbf{A = A_1 - A_2}\)
Substitute known values
\(\mathbf{176 =\pi (r + w)^2 - \pi r^2 }\)
Substitute 2 for w
\(\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }\)
Expand
\(\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }\)
Open brackets
\(\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }\)
Cancel out line terms
\(\mathbf{176 =4\pi r + 4\pi }\)
Divide through by 4
\(\mathbf{44 =\pi r + \pi }\)
Factor out pi
\(\mathbf{44 =\pi(r+ 1) }\)
Divide through by pi
\(\mathbf{r + 1= \frac{44}{ \pi} }\)
Substitute 22/7 for pi
\(\mathbf{r + 1= \frac{44}{ 22/7} }\)
Using a calculator, we have
\(\mathbf{r + 1= 14}\)
Solve for r
\(\mathbf{r= 14 -1}\)
\(\mathbf{r= 13}\)
Hence, the value of r is 13
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Need help if (x+yi)+(2(x+yi)+3i)=9,what is x+yi?
Answers
Answer:
A
Step-by-step explanation:
(x+yi)+(2(x+yi)+3i)=9
x+yi+2x+2yi+3i=9
3x+3yi+3i=9+0i
equating real and imaginary parts
3x=9,x=9/3=3
3y+3=0
3y=-3
y=-3/3=-1
x+yi=3-i
If a item is $30 and the is 20% off the regular price how much would it be
Answers
20% is 6
30-6=24
$24
Answer:
20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.
Step-by-step explanation:
What is (x − 3)(x + 3) expressed as a binomial????????????????
A.2x − 9
B.x2 − 9
C.x2 + 9
D.2x − 6
Answers
Step-by-step explanation:
B.x2-8 it this because u work brakets first
DOES ANYONE KNOW ANY OF THIS PLZZZ!!
Answers
Answer:
okay so I can complete this BY tommorow at 6:00pm Eastern Standard Time which is 7pm central time and 4AM mountain time. All of which is monday. Sound good?
Step-by-step explanation:
ALSO. 4, 5, 6 are PAGES 4, 5, 6 or the second second page? the pages go 1, 2, 1, 2, 3, final. Or am I answering 2. D?
A line contains the points (82, −96) and (87, −86).
What is the slope of the line in simplified form?
Answers
Answer:
The slope is 2.
Step-by-step explanation:
ΔX = X2 - X1 = 87 - 82 = 5
ΔY = Y2 - Y1 = -86 - (-96) = -86 + 96 = 10
ΔY/ΔX = 10/5 = 2/1 = 2
If ƒ(x) = 2x³ – 11x² + 13x − 4 and x − 4 is a factor of f(x), then find all of the
zeros of f(x) algebraically.
Answers
Answer:
The zeros of ƒ(x) are 4, 1, and -2.
Miko and her parents rent boats for the afternoon. Her parents rent a canoe and Miko rents a kayak. • It costs $20.49 to rent a canoe plus an additional $7.49 for each hour. • It costs $17.99 to rent a kayak plus an additional $5.99 for each hour. Miko and her parents rent one canoe and one kayak for the same amount of time, and their total cost for the rentals is $78.92. Write and solve an equation to determine the amount of time, in hours, that they rented the kayak and canoe.
Answers
Answer:
Kayak and Canoe rented for 3 hours
Step-by-step explanation:
Let the time for which they rent canoe & kayak = x hours
Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x
Given] Total canoe & kayak cost = 78.92
So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92
20.49 + 17.99 + 7.49x + 5.99x = 78.92 ; 38.48 + 13.48x = 78.92
13.48x = 78.92 - 38.48 ; 13.48x = 40.44
x = 40.44 / 13.48 ; x = 3
3 hours
help with this question!
Answers
Answer:
y=4x
Step-by-step explanation:
a proportional relationship has to cross through the origin and all of the other answers have y intercepts and if it has a y intercept then it will not pass through the origin.
A company has two large computers. The slower computer can send all the company's email in minutes. The faster computer can complete the same job in minutes. If both computers are working together, how long will it take them to do the job
Answers
Both the computers will take 18 minutes to do the job together.
The slower computer sends all the company's email in 45 minutes.
The faster computer completes the same job in 30 minutes.
Let's take minutes t to complete the task together.
As they complete one job, we get the following equation:
\(\frac{t}{45}\)+\(\frac{t}{30}\)=1
LCM of 45 and 30 is:
45 = 3 x 3 x 5
30 = 2 x 3 x 5
LCM = 2 x 3 x 3 x 5 = 90
Now, solving for t;
⇒\(\frac{2t+3t}{90} = 1\\\frac{5t}{90} =1\\5t=90\\\)
Dividing both sides by 5;
\(\frac{5t}{5}=\frac{90}{5}\)
We get t = 18
Hence, it will take both the computers 18 minutes to do the job together.
A company has two large computers. The slower computer can send all the company's emails in 45 minutes. The faster computer can complete the same job in 30 minutes. If both computers are working together, how long will it take them to do the job?
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What is the value of x
I will give brainliest
Answers
Answer:
52
Step-by-step explanation:
answer = fifty two
x = 52
Answer:
X+90+90+128=360(total sum of quadrilateral)
X+180+128=360
X+308=360
X=360-308
X=52
Which statement is correct? A foot is 3 times the length of a yard. An inch is 12 times the length of a foot. A foot is 12 times the length of an inch. A yard is 36 times the length of a foot.
Answers
Answer: A foot is 12 times the length of an inch. (1 foot = 12 inches)
Step-by-step explanation:
If a loan is taken out for $278 at 10% and costs the borrower $174.12 in simple interest, how many years was the loan for? ROUND YOUR ANSWER TO THE NEAREST WHOLE YEAR
Answers
Data:
Loan=$278 at 10%
A simple interest is calculated for payments on the initial capital.
If the total interest was $174.12.
If the interest is on a year. You calculated the interes of one year. The 10% of $278:
\(278\cdot\frac{10}{100}=27.8\)In a year the interest is $27.8.
Then, $174.12 divided into $27.8 is the number of years of the loan:
\(\frac{174.12}{27.8}=6.26\approx6\)Then, the loan was for 6 yearsA clothing designer determines that the number of shirts she can sell is given by the formula S = −4x2 + 80x − 76, where x is the price of the shirts in dollars. At what price will the designer sell the maximum number of shirts? a $324 b $19 c $10 d $1
Answers
To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.
The equation for the number of shirts sold is given by:
S = -4x^2 + 80x - 76
This is a quadratic function in the form of:
S = ax^2 + bx + c
To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:
x = -b / (2a)
In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:
x = -80 / (2*(-4))
x = -80 / (-8)
x = 10
Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.
What i the meaure in radian for the central angle of a circle whoe radiu i 9 cm and intercepted arc length i 7. 2 cm?
Enter your anwer a a decimal in the box. Radian
Answers
The central angle (in radians ) is 0.8 radians.
What is a cricle ?
A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.
we know that,
arc length = radius * central angle (in radians)
and central angle (in radians) = arc length / radius
by substituting the given values
arc length = 7.2
radius=9
we get,
central angle (in radians) = 7.2 / 9
=0.8 radians
Hence , the central angle = 0.8 radians
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Hilda has $210 worth of $10 and $12 stock shares. the numbers of $10 shares is 5 more than twice the number of $12 shares. how many of each does she have?
Answers
If Hilda has $210 worth of $10 and $12 stock shares and the number of $10 shares is 5 more than twice the number of $12 shares, then the number of $10 shares and $12 shares she has is equal to 15 and 5 respectively.
The number of $10 shares and $12 shares can be calculated by forming linear equations.
Consider the number of $10 shares to be x and the number of $12 shares to be y.
x = 2y + 5
10x + 12y = 210
Putting the value x = 2y + 5 in the second equation,
10x + 12y = 210
10 (2y + 5) + 12y = 210
20y + 50 + 12y = 210
32y + 50 = 210
32y = 210 - 50
32y = 160
y = 160 ÷ 32
y = 5
Putting y = 5 in the first equation,
x = 2y + 5
x = 2(5) + 5
x = 10 + 5
x = 15
Hence the number of $10 and $12 shares she has is calculated to be 15 and 5 respectively.
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Write as a expression The sum of 20 and x.
Answers
Answer:
20 x
20/x
x= 2054८7%९९९६$६६६$99%९६$---%97%७७७%77747799777%००444444&७७%7%७७%७%
Can u pls help me with this question
Answers
Answer:
21 is the answer your welcome
Use long division to find the quotient below.
(x2 + 3x - 18) + (x-3)
Answers
Answer:
6x-21
Step-by-step explanation:
Which equation is true when p=0.6
A) p + 6 = 1.8
B) 10p = 6
C) 0.6p = 10
D) p - 1 = 0.4
Answers
Answer:
B
Step-by-step explanation:
Its not A because when you plug in 0.6 in for P it gives you 6.6=1.8. (0.6)+6=1.8
Its B because when you plug in 0.6 in for P it gives you 6=6.
10(0.6)=6
Its not C because when you plug in 0.6 in for P it gives you 0.36=10.
0.6(0.6)=10
Its not D because when you plug in 0.6 in for P it gives you -0.4=0.4.
(0.6)-1=0.4
Determine the intercepts of the line.
y = 80 - 18
Answers
Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
Are the two triangles congruent?
Choose 1 answer:
A. Yes
B. No
C. There is not enough information to say.
Answers
Answer:
The shown triangles have the same angles 96° and 61°, and the same length 6.
Thus, the two triangles are congruent.
Step-by-step explanation:
We know that two triangles would be termed as congruent If:
Their corresponding sides have equal lengthTheir corresponding angles have equal measureThe orientation of a congruent triangle can be different.
Consider the two triangles shown.
Though their orientation is different, both triangles have the same angles 96° and 61°, and the same length 6.
Therefore, the two triangles are congruent.
Answer:
Yes
Step-by-step explanation:
It’s right on khan academy
Sidney Industries is implementing an activity-based costing system. Expected usage and costs for its manufacturing activities for the upcoming year are as follows. Cost Pool Estimated Cost Cost Driver Estimated Activity Machine maintenance costs $168,000 Number of machine hours 650 Engineering change orders $576,000 Number of change orders 43,600 Hazardous waste disposal $94,000 Pounds of hazardous waste generated 10,300 Total Overhead Cost $898,000 Actual results for Job 356 are as follows: Total DM cost incurred: $663,000 Total DL cost incurred $224,600 324 machine hours 18,900 change orders 3,860 pounds of waste Calculate the following (round intermediary calculations to two decimal places): 1. Predetermined overhead rate for each activity. 2. Manufacturing overhead applied for each activity. 3. Total job cost for Job 356.
Answers
Predetermined overhead rate for each activity: Machine maintenance costs: $258.46 per machine hour, Engineering change orders: $13.22 per change order, Hazardous waste disposal: $9.13 per pound of waste.
Manufacturing overhead applied for each activity: Machine maintenance costs: $83,800, Engineering change orders: $249,348, Hazardous waste disposal: $35,306.
Total job cost for Job 356: $1,235,054.
To calculate the predetermined overhead rate for each activity, we divide the estimated cost by the estimated activity:
Machine maintenance costs: $168,000 / 650 machine hours = $258.46 per machine hour.
Engineering change orders: $576,000 / 43,600 change orders = $13.22 per change order.
Hazardous waste disposal: $94,000 / 10,300 pounds of waste = $9.13 per pound of waste.
The total job cost for Job 356 is the sum of the direct material cost, direct labor cost, and manufacturing overhead applied:
Total job cost = Total DM cost incurred + Total DL cost incurred + Total manufacturing overhead applied
Total job cost = $663,000 + $224,600 + ($83,800 + $249,348 + $35,306) = $1,235,054.
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Point X is chosen at random on AE-. Find the probability that X is on CE- .
Answers
Probability of any point X on line BD is 1/2 , on line BC is 3/10, on line AB is 1/2 and on line AC is 4/5.
A, B, C and D are four points on a line. Length of AB is 5, length of BC is 3, length of AC is 8, length of CD is 2 and length of AD is 10.
Probability of any point X on line BD = ( length of BD / length of AD) = (5/10) = 1/2.
Probability of any point X on line BC = ( length of BC / length of AD) = 3/10.
Probability of any point X on line AB = ( length of AB / length of AD) = 5/10 = 1/2.
Probability of any point X on line AC = ( length of AC / length of AD) = 8/10 = 4/5.
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What is the solution to the system of equations? 2x – y = 7 y = 2x 3
Answers
Answer:
I will assume the second equation is y=2x^3. If it is y=2x+3 or y=2x-3, the lines will never intersect: they have the same slope (2):
Step-by-step explanation:
2x – y = 7 can be rewritten as: y = 2x -7. It has a slope of 2. The second equation, y = 2x 3, isn't clearly written. If the 3 has a plus or minus sign, then the lines will never intersect: they have the same slope, 2.
I'll assume the second equation is y=2x^3.
See attached graph.
which two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers? (select all that apply.)
a. sine
b. cosine
c. tangent
d. cosecant
e. secant
f. cotangent
Answers
The cosecant, secant, and cotangent functions are defined as the reciprocals of the sine, cosine, and tangent functions, respectively which have two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers.
These functions also have a period of 2π and their ranges depend on the range of the corresponding parent function.
Therefore, correct answer will be a. sine, b. cosine and c. tangent.
The trigonometric functions are mathematical functions used to describe relationships involving lengths and angles of triangles. These functions include sine, cosine, tangent, cosecant, secant, and cotangent. Each of these functions has its own unique properties, including period and range.
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sovle number 8 pls and thankyou
Answers
Answer:
1/3125
Step-by-step explanation:
5^-2-3
=5^-5
=
1/5^5
= 1/3125
0.0025
0.05 * 0.005
= 0.0025
helppp
The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^3– 12x^2-x+15
A. True
B. False