Travel agents collected data from recent travelers about their modes of transportation for their vacations, They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train.
Answers
Using Venn probabilities, it is found that the probability is [tex]P(A \cap T^{c}) = 0.3[/tex]
In this problem, the events are:
Event A: Traveled by airplane.Event T: Traveled by train.Event [tex]T^{c}[/tex]: Did not travel by train.The desired probability is:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
The probabilities are:
37% traveled by airplane, hence [tex]P(A) = 0.37[/tex]8% traveled by train, hence [tex]P(T^c) = 1 - 0.08 = 0.92[/tex]37% traveled by airplane, 62%(100 - [37 + 8 - 7]) did not travel, hence [tex]P(A \cup T^c) = 0.37 + 0.62 = 0.99[/tex]Then:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
[tex]P(A \cap T^{c}) = 0.37 + 0.92 - 0.99[/tex]
[tex]P(A \cap T^{c}) = 0.3[/tex]
A similar problem is given at https://brainly.com/question/24707032
Answer:
B: .30
Step-by-step explanation:
edg 2021
Related Questions
1000+1000-1000
I will give you branlys answer
Answers
Answer:
1000+1000-1000= 1000
Step-by-step explanation:
First you start by adding 1000 with 1000
1000+1000= 2000
Then Subtract,
2000-1000= 1000
Hope This Helps !!
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a positive slope and has a formula of y = x. The parallelogram has points E (3, negative 3), F (5, negative 3), H (2, negative 5), and G (4, negative 5). What are the coordinates of the image of vertex G after a reflection across the line y = x? (–4, –5) (4, 5) (–5, 4) (5, –4) Mark this and return
Answers
9514 1404 393
Answer:
(c) (–5, 4)
Step-by-step explanation:
The rule for reflection across the line y=x is ...
(x, y) ⇒ (y, x)
G(4, -5) ⇒ G'(-5, 4)
Solve the given equations. PLEASE show your work. Answer if it has No solution or Infinite many solutions.
-17 + 2(1 + 3x) = x - 5(3 - x)
Answers
Answer:
Infinite.
Step-by-step explanation:
[tex]-17+2(1+3x)=x-5(3-x)[/tex]
Expand:
[tex]-17+2+6x=x-15+5x[/tex]
[tex]6x+15=6x+15[/tex]
[tex]6x=6x[/tex]
[tex]0=0[/tex]
Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.
Please help me with this question
Answers
Answer:
M: (-2,6)
M': (-2,-6)
X coordinate
M' would be (2, 6)
when it's reflected over the y-axis, the x coordinate changes signs (becomes positive)
using agona} John ran 6/7 per day, he already for 8days. what is the total distance that he ran for 8 days ?
Answers
1. A ride descends from 100 meters straight down to 0 meters. The distance from the ground at any time is represented by the graph. The slope of the line is -4/5 between 0 and 125 seconds. How far did the ride descend in the time indicated by the marked vertical distance on the graph? (Orange line)
2. A car travels at a rate of 65 mph on a flat highway. How long did it take the car to get from a distance of 123 miles to 318 miles on its journey? (purple line)
Answers
9514 1404 393
Answer:
12 m3 hoursStep-by-step explanation:
1.The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...
(change in distance)/(15 s) = -4/5 m/s
change in distance = (-4/5 m/s)(15 s) = -12 m
The ride descended 12 meters in the time indicated on the graph.
__
2.Again, the slope is "rise"/"run".
65 mi/h = (318 mi -123 mi)/(travel time)
travel time = (195 mi)/(65 mi/h) = 3 h
The car took 3 hours to get from 123 miles to 318 miles.
Need all of these answered please
Answers
alternate entireror angles are congurent by this rule you can find your answer by solving the equation
Leah is making cookies for her birthday party she wants to double the recipe and uses 1cup of sugar and 3 1/2 cups of flour.how many cups of sugar and flower does the original recipe call for.
Answers
Divide everything by half
Since she doubled the recipes, divide all by half.
1 cup of sugar / 2 = 1/2 cup of sugar
3 1/2 cups of flour / 2 = 7/2/2 cups of flour = 7/4 cups of flour or 1 3/4 cups of flour.
Answer:
Sugar: 1/2 Flour: 1 3/4
Step-by-step explanation:
1 cup of sugar
3 1/2 cups of flour
Since the recipe is doubled you'll divide the ingredients by 2.
Sugar: 1÷2=1/2
Flour: 3 1/2÷2=7/4
=1 3/4
Hope this helps :)
Below is an excerpt from the home loan contract Kyle signed with his bank.
“The sum of the principal of the loan and all applicable interest will be divided into 360 monthly payments according to the amortization schedule.
The Buyer shall make each monthly payment by the first day of the month it is due. A payment not received by the first day of the month it is due will be considered delinquent. A payment not received by the fifteenth day of the month it is due will be subject to a late charge of $75.00. If a payment is not received by the last day of the month it is due, the Buyer and transaction shall be reported to the appropriate credit agencies.
In the event of delinquency, the Buyer may divide any payment not received into not more than three equal installments to be included on the next consecutive monthly payments. Notification of the Buyer’s intent to do so must be made by written letter or phone call to the phone number and address listed below within one business week of delinquency.”
Kyle failed to make his payment by the first of this month. Kyle’s monthly payment is currently $1,200. If Kyle decides to split the missing payment into two parts and pay it over the next two months, which of the following statements is false?
a.
Kyle will be reported to a credit agency.
b.
Kyle will be charged a $75 late fee for the missing payment.
c.
Kyle has one business week to inform his bank of the late payment.
d.
Kyle’s monthly payments for the next two months will remain $1,200.
Answers
Use a table to find the solution to the situation.
Larry's small business has $30,000 in its bank account and makes automatic monthly payments that total
$10,000. If he stops making deposits to that account, when would the automatic payments make the
value of the account zero?
The value of the account would be zero in months.
Answers
Answer:
Step-by-step explanation:
30,000 /10,000= 3 months
The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.
Answers
Answer:
x=9.5 and y=5.5
Step-by-step explanation:
x+y=15
x-y=4
add
2x=19
x=9.5
y=15-9.5
y=5.5
x=9.5 and y=5.5
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
4/5a - 8 = a + 2 solve for a
Answers
Answer:
a=-50
Step-by-step explanation:
(5, -2); slope =-1 please help I need answers asap
Answers
Answer:
y = - x + 3
Step-by-step explanation:
Assuming you require the equation of the line
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 , then
y = - x + c ← is the partial equation
To find c substitute (5, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - x + 3 ← equation of line
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $37.27
what is the amount of the tip is approximately
Answers
Round $37.27 to $37.00
Then multiply $37 by .2
Find the value of x. Show all work.
(7x + 6)°
(6x - 7)º
Answers
Answer:
42x-42
Step-by-step explanation:
(7x)(6x)+(6)(-7)=42x°-42°
Can u tell answers of all the given questions? Plz
Answers
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answers
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
50 points! don't answer if you don't know! Thank You
#1 Jeanne's bank account earns interest annually. The equation shows her starting balance of $200 and her balance at the end of five years, $267.65. At what rate r did Jeanne earn interest?
r= %
(Type an integer or decimal rounded to the nearest tenth as needed.)
#2 The volume of a soap bubble is 62.3mm^3 Find the radius and diameter of the soap bubble. Use 3.14 for pie.
The radius of the bubble is about mm.
(Round to the nearest tenth as needed.)
Answers
Answer:
1. 6%
2. what is the radius of 2
Step-by-step explanation:
Answer:
#1 = Rate = 0.025
#2 = m^2
Step-by-step explanation:
#1
1. starting balance = 200
balance at the end of 4 years = 220.82
2. 200.82 = 200(1+r)^4
220.82
________ = (1 + r)^4
200
1 + r = (1.1041)^1/4
1 + r = 1.025 - 1
r = 0.025
Rate = 0.025
#2
62.3m⋅m^3=62.3m^4
3.14=62.3m^4
m⋅m=m^2
Hope this helps, have a nice day/night! :D
If it did help please mark as brainliest!
Please help me and give explanation on how you got your answer if not that’s fine
Answers
The reason is because well first of the plotted dot is filled in with means that x needs to be less then or equal too so to represent that you put the line under the less then symbol and none of the other options have that exact symbol
The arrow is going to the left this is stating that x needs to be less than -2
If it’s wrong then I apologize because I don’t really remember this
please help me
this question is too much hard
I think that my brain stopped working
Answers
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
Answers
Evaluate the expression.
8P2
Answers
Answer:
8×100+P×10+2×1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answers
Answer: it takes 1/5 revolutions per foot and the slope is 5
Step-by-step explanation:
The graph of a linear function has a negative slope. Describe the end behavior of this function.
As the value of x increases, the value of y [ A. decreases , B. increases ].
As the value of x decreases, the value of y [ A. decreases , B. increases ].
Answers
Answer:
1. A
2. B
Step-by-step explanation:
It would look like y = -m(x) + b.
For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
As you can see from the example,
If the value of x increases, the value of y will decrease and vice versa
For the negative slope equation y = -x as the value of x increases y decreases.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.
It would look like y = -m(x) + b.
As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
Therefore, for the negative slope equation y = -x as the value of x increases y decreases.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ2
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Answers
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
geometry math problems
which one would be the correct answer
Answers
=======================================================
Explanation:
Your teacher wants you to use the angle-angle-side congruence theorem, which abbreviates to AAS. Note in the diagram that we have two pairs of angles marked.
Angle P = Angle U (double arcs)Angle Q = Angle S (single arcs)So we have the info about the angles being congruent, and that takes care of the two "A"s in AAS.
We just need a pair of sides to be congruent. Specifically, we need the pair of sides that are not between the angles mentioned for either triangle. If we went for this option, then we'd go for ASA instead of AAS. The order is important.
So we have two possible answers
PR = UTQR = STIf either of those were given to us, then we can use the AAS theorem. Unfortunately PR = UT isn't listed, but QR = ST is listed. So this is why choice B is the answer.
Side note: Both QR and ST are opposite the double arc angle.
Answer:
QR≅ST
Step-by-step explanation:
With AAS congruence, you need 2 angles and a non-included side. On ΔPQR, that could be either PR or QR. PQ is the included side as it is between the angles, and therefore cant be used for this congruence theorem.
As said above, it can be either PR or QR, but it has to be QR in this case as there is no answer option for PR.
On the other triangle, the corresponding side is ST. ∠S and ∠Q are corresponding, and US is the included side, so that leaves only ST.
Finally, the information you need to prove that the triangles are congruent is QR≅ST.
Myra ordered 648 roses for her flower shop. Her helpers made boquets for every 8 roses.How many bouquet of roses were made for sale?What is the solution
Answers
bouquet of roses were made for sale : 648/8 = 81
ok done. Thank to me :>
4 CHALLENGE 35 toes—how
many
feet?
Hint Draw a picture to help.
How many in all?
Answers
Find a 33 matrix Sij so that the product SijA is the same as the matrix A after applying the row operation Ri $ Rj .
Answers
Answer:
We want the ith row of the new matrix SijA to be the old jth row of A, so we need the ith row of Sij to extract the jth entry of column of A.
This mean the ith row of Sij must have a 1 in the jth entry and 0's everywhere else.
Similarly, the jth row of Sij must have a 1 in the ith entry and 0's everywhere else.
in the piecewise notation this is
(Sij)kl ={1 if k=i and l=j, 1 if k=k and l=i; 1 if k=l but k#i,j, 0 otherwise
Step-by-step explanation: