The odds in favor of Amanda unlocking the treasure chest is 1/5.
We have to find the odds in favor of Amanda's character unlocking the treasure chest. Odds in favor is the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
[tex]P (A) = \frac{no.of favorable outcomes}{no. of unfavorable oucomes}[/tex]
P(A), is used to denote the probability of the event A.
Before finding out the odds in favor, we need to find the probability of her unlocking the treasure chest {P(T)}
Total no. of outcomes = 6 (as a dice has 6 sides)
Number of outcomes desired = 1 (that unlocks the treasure chest)
Therefore, the probability of unlocking the treasure chest
P(T) = Number of outcomes desired/ Total no. of outcomes = 1/6
P(T) is our favorable outcome.
Any other outcome would be unfavorable,
Therefore, the number of unfavorable outcomes would be
= Total no. of outcomes - number of the desired outcomes = 6-1 = 5
Thus, applying the formula for P(A)
P(A) = no. of favorable outcomes/ no. of unfavorable outcomes
= 1 / 5 (Ans)
Thus, the odds in favor of Amanda unlocking the treasure chest is 1/5.
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Divide R240 in the ratio 2:3?
Answer:
96:144
Step-by-step explanation:
240/5=48
48*2=96
48*3=144
So your answer is 96:144
Seats for Sale
State's football program has risen to the ranks of the elite with postseason bowl games in each of the past 10 years, including a national championship game. The Bruins (as the fans are called) fill the stadium each game. Season tickets are increasingly difficult to find. In response to the outstanding fan support, State has decided to use its bowl revenues to expand the stadium to 75,000 seats.
The administration is confident that all 75,000 seats can be sold at the normal price of $40 per game ticket; however, Frank Pinto's job, as athletic director, is to get as much revenue out of the stadium expansion as possible. In addition to stadium boxes for wealthy alums, Frank would like to take this opportunity to repurpose existing seats. A certain number of seats (yet to be determined) would be set aside for premium ticket holders who would pay $200 per ticket for the privilege of 50-yard line seats with chair backs and access to indoor concessions. The question is, how many fans would be willing to pay such a premium? If too many seats are designated in the premium sections, they could remain vacant. Too few premium seats would lose potential revenue for the program.
Frank has decided that if the plan has any chance of success, unsold premium seats should not be sold at reduced rates. It would be better to donate them to local charities instead. Gathering data from his cohorts at peer institutions, Frank has put together the following probability distribution of premium ticket holders. The data begin with 1000 tickets since Frank already has requests for 999 tickets from alumni donors. He is asking for your help in performing the analysis.
No. of Premium Tickets Probability
1,000 0.10
5,000 0.30
10,000 0.24
15,000 0.15
20,000 0.10
25,000 0.06
30,000 0.05
a. Using revenue management, determine how many seats should be reserved for premium ticket holders.
b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?
c. The administration is unsure about Frank's plan. The VP of finance thinks an expected value of the number of premium seats would produce better results. How would the number of premium seats change using expected value? Considering the possible outcomes, which approach yields the most potential revenue?
Answer:
a. To determine how many seats should be reserved for premium ticket holders, Frank can use revenue management techniques. One common method is to use the expected revenue per seat, which is calculated by multiplying the number of seats by the expected price per seat and then multiplying that by the probability of that number of seats being sold. Frank can then compare the expected revenues for different numbers of premium seats and choose the number of seats that maximizes the expected revenue.
b. If the number of premium seats is 1,000, then the expected revenue is:
(1,000 x $200 x 0.10) + (75,000 - 1,000) x $40 x 1 = $200,000 + $3,000,000 = $3,200,000
If the number of premium seats is 5,000, then the expected revenue is:
(5,000 x $200 x 0.30) + (75,000 - 5,000) x $40 x 0.7 = $3,000,000 + $2,330,000 = $5,330,000
If the number of premium seats is 10,000, then the expected revenue is:
(10,000 x $200 x 0.24) + (75,000 - 10,000) x $40 x 0.76 = $4,800,000 + $3,768,000 = $8,568,000
and so on for the rest of the numbers.
From the above calculations, we see that the expected revenue is maximized at 10,000 premium seats, which is expected to generate $8,568,000.
c. Using the expected value of the number of premium seats would be calculated by multiplying the number of seats by its probability. The expected value of the number of premium seats is:
1,000 x 0.10 + 5,000 x 0.30 + 10,000 x 0.24 + 15,000 x 0.15 + 20,000 x 0.10 + 25,000 x 0.06 + 30,000 x 0.05 = 10,000.
Comparing this with the number of seats obtained by maximizing the expected revenue (10,000), we see that both approaches yield the same number of premium seats. This means that both approaches would yield the same potential revenue.
2(x+2y)=2x+4y is it proportion
2 1/5 of the quotient of 5 5/11 and 2 2/5
Please help me!
Answer:
21 and 18.48 respectively
Step-by-step explanation:
to solve this question,first we need to identify the quotients by dividing the numbers and multiply each by 21/5
The quotient of the [tex]\frac{55}{11}[/tex]=5
[tex]\frac{21}{5}[/tex] of 5 = [tex]\frac{21}{5}[/tex]×5=21
The quotient of the [tex]\frac{22}{5}[/tex]=4.4
[tex]\frac{21}{5}[/tex] of 4.4 = [tex]\frac{21}{5}[/tex]×4.4=18.4
so, the answer is 21 and 4.4 respectively.
Samuel will arrive at the airport on the first plane after 10 am Airplanes arrive every 50 mins beginning at 6 am when will samuels plane arrive?
Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
What is algebraic expression?An algebraic expression is a mathematical expression that uses coefficients, unknown variables, algebraic operations, and constants. However, it is not acceptable to use an equality symbol in an expression.
Mathematical expressions and sentences come in a wide variety. the relationships between equations, numerical expressions, and algebraic expressions.
The difference between 10 am and 6 am
is 4 hours, So the the time he arrives will be a multiple of 50 grater than 4 hours
50x > 4 × 60
50x > 240
x > 240/50
x > 4.8
x = 5 (as 5 is nearest single digit no. to 4.8)
50x = 50 × 5
= 250 minutes
250 mins = 4 hours and 10 mins
6 am + 4 hours and 10 mins
= 10 hour and 10 min or 10:10 am
Thus, Samuels plane arrive will arrive at 10:10 am, in the given algebraic problem.
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Please help me solve this i'm not sure what else to do
The equation of the line in point-slope form is obtained as y = -2x + 4.
What is the point-slope form?
Point-slope is the general form of a linear equation which is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
The line passes through point (x1,y1) = (0,4)
The slope of the line is m = -2.
The formula for point-slope form of equation is -
y-y1=m(x-x1)
Substituting the values in the equation -
y - 4 = -2(x - 0)
y - 4 = -2x
y = -2x + 4
Therefore, the equation is obtained as y = -2x + 4.
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Which inequality is represented by this graph?
Question 8
You decide to begin saving toward the purchase of a new car in five years. If you put
RM1,000 at the end of each of the next 5 years in a savings account paying 6 percent
compounded annually, how much will you accumulate after 5 years?
If you save RM1,000 at the end of each of the next 5 years in a savings account paying 6 percent compounded annually, the future value or the amount you will accumulate after 5 years is RM5,637.09.
What is the future value?The future value is the compounded present value of the periodic deposits.
The future value formula or FV table can determine the accumulated future value of periodic investments.
We can also use an online finance calculator to determine the future value.
N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = RM0
PMT (Periodic Payment) = RM1,000
Results:
Future Value (FV) = RM5,637.09
Sum of all periodic payments = RM5,000(RM1,000 x 5)
Total Interest = RM637.09
Thus, in 5 years, you will have an accumulated future value of RM5,637.09 in the savings account.
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Which of the following quadratics would have the roots of 1+ or 1- ^2.
The quadratic equation for the given roots is x²-2x-1=0. Therefore, option 4 is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The roots of the quadratic equation are 1±√2.
Here, x=1+√2 and x=1-√2
x-1-√2=0 and x-1+√2=0
Now, (x-1-√2)(x-1+√2)=0
= x(x-1+√2)-1(x-1+√2)-√2(x-1+√2)=0
= x²-x+√2x-x+1-√2-√2x+√2-2=0
= x²-2x-1=0
Therefore, option 4 is the correct answer.
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How does the use of internal rhyme affect the poem? A. It adds suspense by means of the steady repetition of similar sounds. B. It makes the speaker seem more sympathetic since he is so clever at rhyming. C. It helps create and maintain the poem's playful tone. D. It creates more emotional impact for the poem by emphasizing emotional words.
The use of internal rhyme affect the poem by: C. It helps create and maintain the poem's playful tone
What is internal rhymeInternal rhyme tend to occurs when words that are in the same line of a poem rhyme with one another.
The use of internal rhyme can tend to add more musical quality to a poem and it as well help to create cohesion within a line or stanza. Internal rhyme also help to a sense of playfulness in the poem.
Therefore we can conclude that the correct option is C.
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Put the answer please!
The inequality that represents the interval shown on the number line is:
5 ≤ x ≤ 9
How to express the interval shown?We want to use inequality notation to define the interval shown on the number line.
We can see that the first point is marked with a closed circle, at x = 5.
And then we have another closed circle at x = 9
The closed circles means that these points are solutions to the inequality, so we need to use the symbols:
≤ and ≥
Then we can write the inequality:
5 ≤ x ≤ 9
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Help please!
(8^2003+6^2003)/49=?
Answer:
2^6009 + 6^2003 / 49 ig lol
determine whether the three points P=(-7,6,-8), Q=(-8,4,-11), R=(-9,3,-14) are colinear by computing the distances between pairs of points
Answer:
To determine whether the three points P, Q, and R are colinear, we can calculate the distances between pairs of points using the distance formula:
d(P,Q) = √((-8 - (-7))^2 + (4 - 6)^2 + (-11 - (-8))^2) = √((-1)^2 + (-2)^2 + (-3)^2) = √14
d(Q,R) = √((-9 - (-8))^2 + (3 - 4)^2 + (-14 - (-11))^2) = √((-1)^2 + (-1)^2 + (-3)^2) = √9
d(P,R) = √((-9 - (-7))^2 + (3 - 6)^2 + (-14 - (-8))^2) = √((-2)^2 + (-3)^2 + (-6)^2) = √19
If the three points are collinear, the distance between any two points should be a multiple of the distance between the other two points. Since √14, √9, and √19 are not multiples of each other, it can be concluded that the three points P, Q, and R are not collinear.
The gate code at your apartment complex is three numerical digits followed by the "#" sign. If each code
contains non-repeating digits, how many possible gate codes does your apartment complex have?
There are 720 possible gate codes your apartment complex have.
What is algebra?The subject matter of the math discipline of algebra is symbols and the arithmetic operations performed on them. Variable describes these symbols because they don't have any fixed values. We frequently notice values that are in constant flux in our day-to-day problems.
To represent these shifting values, however, is always necessary. These values are frequently represented in algebra with symbols like x, y, z, p, or q; these symbols are referred to as variables.
The gate code at your apartment complex is three numerical digits followed by # sign.
There are 10 digits (0 to 9).
Compute the number of possible gate codes if each code contains non-repeating digits as follows.
The first 3 place in the code must be filled by three non-repeating digits.
So, there are 10 possibilities for the first digit, 9 possibilities for the second digit and 8 possibilities for the third digit.
Hence, the three non-repeating digits can occur in 10×9×8 ways.
The three non-repeating digits are followed by "#" sign. The sign # can occur in only one way.
Combine the above results and obtain the number of possible gate codes as,
10×9×8×1=720
Thus, there are 720 possible gate codes.
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An Egg Farm
Rob lives on an egg farm with 5,287 chicken hens. Rob collects the chicken eggs every
day. One day Rob collects 4,056 eggs. The eggs are placed in egg cartons of twelve eggs
per carton and are shipped to stores. The egg cartons must be carefully placed in
shipping boxes. Each shipping box holds twenty-four egg cartons. The shipper can
deliver no more than fifteen shipping boxes of eggs at a time. Can Rob ship all 4,056
eggs in the same shipment? Show all of your mathematical thinking.
Yes, Rob can ship all 4,056 eggs in the same shipment.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Rob lives on an egg farm with 5,287 chicken hens. Rob collects the chicken eggs every day. One day Rob collects 4,056 eggs.
The eggs are placed in egg cartons of twelve eggs per carton and are shipped to stores.
Here, number of cartons required =4,056/12
= 338 cartons
The egg cartons must be carefully placed in shipping boxes. Each shipping box holds twenty-four egg cartons.
Number of shipping boxes =338/24
= 14.08
The shipper can deliver no more than fifteen shipping boxes of eggs at a time.
Yes, Rob can ship all 4,056 eggs in the same shipment.
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PLSSS HELPP
IMAVE ATTACHED
Answer:
38[tex]\sqrt{3}[/tex]
Step-by-step explanation:
6[tex]\sqrt{5x5x3}[/tex] + 4[tex]\sqrt{2x2x3}[/tex] We can pull out a pair of 5's and 2's
6(5) [tex]\sqrt{3}[/tex] + 4(2)[tex]\sqrt{3}[/tex]
30[tex]\sqrt{3}[/tex] + 8[tex]\sqrt{3}[/tex]
38[tex]\sqrt{3}[/tex]
Date:
1.Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers,how many did Erica sells
The cost of the 20 papers will be $200.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers the cost is $90, Erica sells 20 newspapers.
The cost of 20 news papers will be calculated as,
Cost = ( 90 x 20 ) / 9
Cost = $200
The complete question is given below.
Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers the cost is $90, Erica sells 20 newspapers. What is the cost?
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Use computer drawing software to construct a quadrilateral with two pairs of parallel sides and ywo angles measuring 125°. What geometric shape describes this quadrilateral
The geometric shape formed is a rhombus.
What is quadrilateral?A quadrilateral is a four-sided shape enclosed shape, where the sum of the internal angle is 180°.
Here,
It is mentioned in the question, we have to construct a quadrilateral with two pairs of parallel sides and two angles measuring 125°.
So, the construction of a quadrilateral is shown.
As seen in the figure, the figure is of a rhombus.
Thus, the geometric shape formed is a rhombus.
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What is the meaning of the absolute value of a number?
A.the direction a number is located with respect to zero
B. the distance a number is located from zero
C.the value of a number after it has been rounded up
D.the value of a number after it has been rounded down
Factor completely 640-10x^2
Answer:
Step-by-step explanation:
640 - 10x^2 = (4x-10)(160 + 4x)
The factors of 640-10x^2 are (4x-10) and (160 + 4x).
Find the perimeter of triangle ABC. Round your answer to two decimal places.
2
4
6
8
10
-2
-4
-6
-8
-10
2
4
6
8
10
-2
-4
-6
-8
-10
A
B
C
The perimeter of Triangle ABC, given the triangle in drawn in the graph, would be 40 .54 units .
How to find the perimeter ?To find the perimeter of the triangle , you first need to find the lengths of the sides of the triangle .
The lengths would be the distance between the points A , B , and C .
The vertices are : A ( - 1 , - 8) , B ( -4 , 6 ) and C ( 4 , 9 ) .
The distance between the points can be found by the formula:
= √(( x₂ – x₁ )² + ( y₂ – y₁) ²)
The distance between AB is 14.3 units
The distance between BC is 8. 54 units.
The distance between AC is 17.7 units.
The perimeter is:
= 14.3 + 8. 54 + 17. 7
= 40 .54 units
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solve for x,y answer
Step-by-step explanation:
here it is earning more money to the doctor said the
Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?
Answer
Step by step explantion:
bsf= 26
Eliana:98
SS teacher=203
David=55
Step-by-step explanation:
m= music
bsf: m
eliana:4m-6
David:2m+3
SS teacher: 2(4m-6)+7
m+4m-6+2m+3+8m-12+7
382=15m-7
7+ +7
389=15m
/15m /15m
m=26
multiply 26 to each one of them
Jan-
London
Watters
Lesson 14: Fractional Lengths in Triangles and
Prisms
x3³5 OA=bhis
trange
G
Kes
ktf
421
Illustrative
73/
Cool Down: Triangles and Cubes
5
A triangle has a base of 3 inches and an area of 5 square inches. Find the height
of the triangle. Show your reasoning.
10
3
im
16-21 x 17
Fat
17
(
먹호를 30 50%
5.
When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.
what is triangle ?Since a polygon has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a pyramid that has vertices A, B, and C. When the three factors are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sections and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.
given
triangle's surface area is equal to 1/2 * b*h
5 = 1/2 * 3 * h
10 = 3h
h = 3.33 inches.
When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.
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HELP
IMMAGE ATTACHED
Answer:
[tex]\frac{y-7}{y+8}[/tex]
y cannot equal -8
Step-by-step explanation:
[tex]\frac{(y-7)(y-5)}{(y+8)(y-5)}[/tex] y-5 cancel out
[tex]\frac{y-7}{y+8}[/tex]
Select all of the expressions equivalent to (0.5p + 7) + (0.3p-6).
A.1 +0.8p
B.-6.5p+7.3
C.7.5p - 5.7
D.0.8p + 1
E.7.3 -6.5p
A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 450,000 – 400p where q equals the number of units demanded and p equals the price in naira. The total cost of producing q units of the product is estimated by the function C = 400,000 + 200p + 0.0005q²? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal?
The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Identify the optimal number of units to produce in order to maximize annual profit ?The company should create 1 unit of production in Plant 1 in order to optimize its earnings.
Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by
P = 78 – 15 Q, where Q = Q1 + Q2.
For instance, the company will generate four units in Q2 if it produced two units in Q1.
The negative demand for the firm's goods will range from 33 units
(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),
depending on the production output.
The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.
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pls help me asap iready now
the answer is there
60 students so. my brainly is glitchng sorry
5 situati de lipsa de respect in familie
Answer:
1. Nevoia de a te certa sau de a-i critica pe cei din familie prin limbaj cu conotatii negative sau prin tonul vocii.
2. Nerespectarea deciziilor familiei sau nerespectarea responsabilitatilor asumate.
3. Abuzul verbal sau emotional, inclusiv insultele sau minciunile.
4. Negarea dreptului la intimitate sau la spatiu personal.
5. Ignorarea afectiunii si a momentelor importante din familie.
5. Solve △YZX using Law of Sines when m∠Y=79°, m∠Z=81° and x=9.
Angle X= y= z=
Using sum of angles in a triangle theorem and sine law, the angle x is 20 degrees, while the length of y and z are 25.83 and 26 respectively.
What is Law of SineSine law is a mathematical law that states that the ratio of the lengths of two sides of a triangle to the sines of the angles opposite to them is constant. It is also known as the sine rule or the law of sines.
This is represented mathematically as;
x /sin X = y / sin Y = z / sin Z
To find angle X, we can simply use the theorem of sum of angles in a triangle.
X + Y + Z = 180°
X + 79 + 81 = 180
X = 20°
Using sine law
x / sin X = y / sin Y
9 / sin 20 = y / sin 79
y = (9 * sin 79) / sin 20
y = 25.83
Using sine rule again
z / sin Z = x / sin X
z / sin 81 = 9 / sin 20
z = (9 * sin 81) / sin 20
z = 25.99≅ 26
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