Airline information for three years is given in the table.What was the probability that a scheduled flight in 2018 was canceled.
Answers
Solution:
From the given table;
Let x represent the delayed flights in the year 2018
The total delayed flights is
\(598+x+877=2321\)Solve for x
\(\begin{gathered} x+1475=2321 \\ Collect\text{ like terms} \\ x=2321-1475 \\ x=846 \end{gathered}\)846 flights were delayed in the year 2018.
The total flights in the year 2018 is
\(=3197+846+68=4111\)The number of flights canceled in 2018 is 68
Total flights in 2018 is 4111.
The probability that a scheduled flight in 2018 was canceled will be
\(\begin{gathered} Probability=\frac{Required\text{ outcome}}{Total\text{ outcome}} \\ P=\frac{68}{4111} \end{gathered}\)Hence, the answer is 68/4111
Related Questions
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
Answers
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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PLEASE HELP ME ASAP !!!!!
Answers
Answer:
Step-by-step explanation:
1a) the y intercept, or 20
b) from 0 weeks to 1 week the difference is 10
c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20
2a) the y int, is the same as the x(number of games played) being zero, so here it is 25
2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week
2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25
Given ΔVXY and ΔVWZ, what is VW?
Answers
Answer:
21.6
Step-by-step explanation:
44-27.5=16.5
line segment VX-36= line segment VW we will call line segment VW C
C-36=VX we will call line segment VX H for Hypotenuse
Ratio 27.5/44 = 0.625 the ratio must be the same.
So 36/0.625=57.6 so 57.6-36= 21.6
I got three different answers. This checked out twice../
Solve the following inequality for x.
-26 + 13r + 2 > 2 – 13r
Answers
Hey there!
\(Answer:\boxed{r>1}\)
\(-26+13r+2>2-13r\)
Let's start by simplifying both sides of the inequality.
\(13r-24>-13r+2\)
Now add 13r to both sides of the inequality.
\(13r-24+13r>-13r+2+13r\\26r-24>2\)
Now add 24 to both sides of the inequality.
\(26r-24+24>2+24\\26r>26\)
In our fourth/last step, we will divide both sides of the inequality by 26.
\(\frac{26r}{26}>\frac{26}{26}\\ r>1\)
\(\boxed{r>1}\text{ is your final answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
what is the length of an arc which substends an angle of 60digree at the center of a circle of radius 1/2m?
Answers
0.5236 meters is the length of the given arc.
The formula for the length of an arc is given by:
Arc Length = (θ/360) * 2πr
Where:
θ is the central angle in degrees.r is the radius of the circle.In this case, the central angle is 60 degrees and the radius is 1/2 meters.
Plugging the values into the formula, we have:
Arc Length = (60/360) * 2π(1/2)
Arc Length = (1/6) * π
Arc Length = π/6
Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.
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Sorry about asking this question again
Answers
Answer:
1. 6 2. 5 3. 4 4. 3 5. 2
Step-by-step explanation:
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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PQ is parallel to RS. Pr and QS are perpendicular to PQ and RS .
Answers
Answer:
1:1
Step-by-step explanation:
saw it online
I am needing help. I do not understand these types of problems.
Answers
For angle 45 degree, hypotenuse side is 15 and base side is x.
Determine the measure of side x by using trigonometry.
\(\begin{gathered} \cos 45=\frac{x}{15} \\ 0.707=\frac{x}{15} \\ x=15\cdot0.707 \\ =10.605 \end{gathered}\)Thus value of x is 10.605 m.
Answer: x = 10.605 m
1/4+1/6 in fractions
Please help me I’m giving you 25 pints things
Answers
3+2/12
Answer: 5/12
Step by step:
1)Find the LCM of 6 and 4 =12
2)set both fractions to over 12 and do whatever you done to the bottom to the top
3)1x3=3 1x2=2
4)3+2 =5
Answer: 5/12
Tanisha bought 2 skirts and 3 pairs of pants for $220. A week later she bought 1 skirt and 3 pairs of pants, at the same prices, for $185. How much is each skirt?
Answers
Answer:
220.00
-185.00
= 35.00 the difference of what was paid at the same prices.
Help pls
Stuck on this question
Answers
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
I am not sure how to approach this problem or where to start? How would I be able to solve this problem?
Answers
Answer:
5.7
Step-by-step explanation:
We can use a proportion to solve the problem:
24 : 100 = 1.37 : x
x = (100 * 1.37)/24 = 137/24 = 5.7
Estimate a 15% tip on a dinner bill of $79.42 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
I don't know if this is right but
Tip Total: $ 12
Total (Bill + Tip): $ 92
Sorry if this is wrong
Step-by-step explanation:
Answer:
$12 tip
Step-by-step explanation:
For this problem let's first round our bill amount to the nearest ten dollars. So $79.42 becomes $80.00. From here we will simply need to find 15% of $80.00 which can be found simply through multiplication as follows:
$80.00 * 0.15 = ?
$80.00 * 0.15 = 12
So, we can say the estimated 15% tip for the bill is $12.
Cheers.
The graph shows four ordered pairs that representation which ordered par represents that is not equivalent to the others A 212 B 3.1 (5.24 D 16,361
Answers
What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77
Answers
Answer:
Its a
Step-by-step explanation:
Absolute valye of -|16|
Answers
Answer:
16
Step-by-step explanation:
The absolute value of a number is how far the number is from 0 on the number line. 16 is 16 numbers away from 0, so the absolute value of -16 is 16.
Answer:16
Step-by-step explanation:
Express 3.75 into Fraction
Answers
Answer:
375/100
Reduce to lowest term
15/4 or 3 3/4
7 What is the sum of 89 +6
Answers
Hope this helps:)
Answer:
95
Step-by-step explanation:
refer to the above table. if the consumer buys both product x and product y, how much will the consumer buy of each in order to maximize utility?
Answers
If the consumer buys both product X and product Y, the consumer buy of each to maximize utility will be 3X and 4Y.
Product X Product Y
Quantity MUx Quantity MUy
1 32 1 24
2 28 2 20
3 24 3 16
4 20 4 12
5 16 5 8
If the consumer can only buy product X, consumer buy and the total utility will be 5X and 120.
If the consumer buys both product X and product Y, the consumer buy of each to maximize utility will be 3X and 4Y.
When the consumer purchases the utility-maximizing
combination of product X and product Y, total utility will be 156.
A consumer is in equilibrium and is spending income in such a way that the marginal utility of product X is 40 units and Y is 16 units. The unit price of X is $5. The price of Y is: $2 per unit.
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The complete question is :
Based on the table below showing the marginal utility schedules for product X and product Y for a hypothetical consumer. The price of product X is $4 and the price of product Y is $2. The income of the consumer is $20. how much will the consumer buy of each in order to maximize utility?
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
How do you solve and graph f(x)=3x-6/x+1
Answers
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Answers
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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can somebody help answer this one for me its very difficult for me :[
Answers
Answer:
Step-by-step explanation:
This is a proof. You need to use theorems and definitions to get to your answer. You cannot make any assumptions without a definition for it. You can you use the information that you have proven from previous statements.
m<1 = m<2 Given
QP = QR Given
m<3 = m<4 Vertical Angles
m<1 + m<3 + m<P = 180 Triangle Sum Theorem
m<P = 180 - m<1 - m<3 Subtraction
m<P = 180 - m<2 - m<3 Substitution
m<2 + m<4 + m<R = 180 Triangle Sum Theorem
m<R = 180 - m<2 - m<4 Subtraction
m<R = 180 - m<2 - m<3 Substitution
m<P = m<R Transitive
m<Q = m<Q Reflexive
ΔQTP ≅ ΔQTR ASA
We proved that the triangles are congruent by proving an angle, a side and another angle are the same.
<Q and <Q same
QR and QP same, this was give
<R = <P same through proof
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
Answers
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Assuming all parabolas are of the form y=ax^2+bx+c, drag and drop the graphs to match the appropriate a-value
Answers
Answer:
x variable speed up the process to be done by its own but it's not like we can do to get it to get done and we will be eating much the only and I will get it s the same thing but not the one I was w
The graphs that match the respective values of a are; a = 4 is first graph; a = 1 is third graph; a = 0.25 is 2nd graph
How to interprete graph of parabola?The general equation of parabola is;
y = a(x - h)² + k, where the vertex coordinates are (h, k).
where a is the leading coefficient of the parabola equation.
If a is positive, then the parabola opens up but if it is negative then the parabola opens down.
a = 4 is the largest value of a in absolute value.
Then this corresponds to the thinner parabola which is the first one from the left.
a = 1 Is the middle value of a, then this corresponds to the third graph from the left.
a = 0.25 Is the smallest absolute value of a, and as such this one corresponds to the widest graph which is the graph at the middle.
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Taylor uses 32 buttons for every 4 blouses she sews.
What is the ratio of blouses to buttons?
Answers
Answer:
1:8 , 1/8
Step-by-step explanation:
4 blouses / 32 buttons
= 1 blouse / 8 buttons
(4 and 32 share a GCF of 4)
Answer:
I think it would be 1 to 8
Step-by-step explanation:
32 divided 4 equals 8. So for every 1 blouses she uses 8 buttons. So the ratio would be 1( blouse )to 8(buttons).
Here are a triangle and a rectangle . width The area of the rectangle is 6 times the area of the triangle. Work out the width of the rectangle.
Answers
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
Answer: The Width of The Rectangle = 13.5 cm
Step-by-step explanation:
Area of a right triangle = \(\frac{ab}{2}\)
(a= 9, b= 8)
= \(\frac{9\cdot 8}{2}\)
=36
______________________________
Now,
Area of a rectangle = \(36\cdot 6\)
= 216 (since the area of a rectangle is 6 times the area of the triangle)
_______________________________
(w= width, l= length= 16)
A= \(w\cdot l\)
216 = \(w\cdot 16\)
∴ w = \(\frac{216}{16}\)
= 13.5
∴ Width = 13.5
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
I=-425x^(2) + 45,500x-650,000
What is the youngest age for which the average income of a lawyer is $275,000
Answers
The youngest age for which the average income of a lawyer is $275,000 is 27.91 year.
Quadratic Equation helps solve quadratic equations. First, put the equation into the form ax²+bx+c=0. where a, b, and c are the coefficients. Then plug these coefficients into the equation.
(-b±√(b²-4ac))/(2a) . See examples of solving various equations using formulas
The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:
I = - 425x² + 45500x - 650000 .......... (1)
If the average annual income of the lawyer at the age of x years is $275000, then from the equation (1) we can write
- 425x² + 45500x - 650000 = 250000
I=-425x^(2) + 45,500x-650,000
275000 = -425x^(2) + 45,500x-650,000
-425x^(2) + 45,500x -650000-275000=0
425x^(2) -45,500x +925000=0
x = 900/17 ± 10√(1810)/17
= 77.96 and 27.91
here we are not accepting the ans 77.96 because we have already less value which is 27.91 so final ans will be 27.91
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At the end of 2008, the number of text messages sent one month was
110.4 billion. If 270.3 million people used text messaging, about how
many did each person send that month? Round to the nearest whole
number.
Answers
The average number of text messages sent during the month by each person was 408.
What is the average?The average is the total number of a data set divided by the number of items on the data set.
The average is the same as the mean, which is a central value of a data set.
The total number of text messages sent in a month in 2008 = 110.4 billion
(110,400,000,000)
The total number of people using text messaging = 270.3 million (270,300,000)
Average text messages per person = 408. 44 (110,400,000,000/270,300,000)
Thus, we can conclude that, on average, each person in the population texted 408 messages per month in 2008.
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