Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Arrived home after 7 p.m.Event B: Got home by bus.The percentages associated with arriving home after 7 p.m. are:
14% of 17%(by car).62% of 83%(by bus).Hence:
[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]
The probability of both arriving home after 7 p.m. and using bus is:
[tex]P(A \cap B) = 0.62(0.83)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]
0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.
You can learn more about conditional probability at https://brainly.com/question/14398287
A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?
Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
If M.p = 3,240 and S.P = 2,754 then discount=
The discount is 486.
The discount will be:
= 3240 - 2754
= 486
-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answer:
One Solution
x = -9/2
Step-by-step explanation:
mabel spent 4 hours editing a 3 minute long video she edits at a constant ratehow long does mabel spent to edit a 9 minute video
4/3=1.3 repeating
1.3repeatingx9= 12/9
find the value of x and y
from geometry
urgently
Can someone help me with these questions, please explain your answer. :D
Answer:
2, last
Step-by-step explanation:
1.
The divisibiliy by 9 rule is that if the sum of all digits is divisible by 9 then the number is divisible by 9.
? + 1 +2 +5 +8 = ? + 16
what number is
-greater then 16
-the closest to 16 and divisible by 9
18 so ? = 2 because 2+16 = 18
2 + 1 +2 +5 +8 = 18
18 is divisible by 2 so 21,258 is divisible by 9
2.
The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60 because all of those numbers you can multiply by another and the answer will be 60.
1*60 = 60; 2*30 = 60; 3*20=60; 4*15= 60; 5*12= 60; 6*10=60.
John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?
Answer:
900
Step-by-step explanation:
12 * 3 * 5 * 5 = 900
900
Pls help if you only know the correct answer!!! Thanks!!
Answer:
Step-by-step explanation:
Help please! I don’t understand
Answer:
one real solutions
Step-by-step explanation:
two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
1/3(x-6)=16
Please help me out
Answer:
[tex] \frac{1}{3} (x - 6) = 16) \times 3 \\ x - 6 = 3 \times 16 \\ x = 48 + 6 \\ \color{yellow} \boxed{ x = 54}[/tex]
Answer:
x=54
Step-by-step explanation:
i used a app its great and best for these types of questions
Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?
:)))) NO NEED SOLUTION.
which product is greater (-4) x (-6) or (-7) x (-8) explain how
Answer:
(-7) × (-8)
Step-by-step explanation:
(-4) × (-6) = 24
(-6) × (-7) = 42
Help please I really need it!!!
Answer:
They are similar
Step-by-step explanation:
If a triangle has the same two angle as another one it means that they are similar triangles. this is because all triangles have 180 degrees shared between all of the angles in them. that is the case for these triangles.
hope this helps!
Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.
Write an expression to show the total number of shows Johan has recorded after w week.
Answer:
32+6w=x
Step-by-step explanation:
Johan already has the 32
he is adding 6 every week which gives you the total-x
if it was two weeks, 32+6(2)= 32+12=44
1) State the area of the given trapezoid.
7 meters
9 meters
15 meters
A) 63 square meters
B) 67.5 square meters
C) 99 square meters
D) 135 square meters
Answer:
a=99
Step-by-step explanation:
The answer is 99 square meters. I took this quiz, so I know the answers. I hope you get a good grade!!
Help please will mark brainliest if correct
Answer: x = 1 and x = -1
how do I show how the area of a rectangle is found when the area is 2352cm²
Answer:
Just Multiply L×B And you'll get it
And if you want me to solve then give a image!
Hope its helps!
Mark me BRAINLIESTQuestion is on picture attached
Answer: a. they are alternate exterior angles.
b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.
14x + 2 = 9 + 13x
14x + 2 = 13x + 9
14x = 13x + 9 - 2
14x = 13x + 7
14x = 7 + 13x
14x - 13x = 7
x = 7
To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7
100 = 100
So, we are correct.
Would appreciate brainly <3
Determine the scale factor between the two shapes
given: abc ~ xyz
Answer:
2
Step-by-step explanation:
The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.
Write the equation of line given points (2,3)(-2,-5). write the equation in standard form.
[tex]\text{Given that,}\\\\(x_1,y_1) = (2, 3) ,~~~ (x_2,y_2) =(-2,-5)\\\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-5-3}{-2-2} = \dfrac{-8}{-4} = 2\\\\\\\text{Equation with given points,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 2(x -2)\\\\\implies y -3 = 2x -4\\\\\implies 2x -y = 1[/tex]
PLEASE HELP ME I NEED SOME ASSISTANCE
Answer:
It is C
Step-by-step explanation:
Khan Academy I use it trust me
You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.
The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675
The question allows that we choose the amount being paid as rent as of now.
Let the rent paid as of now be; $3,000
In essence; after the first year; the amount increases by 3.5% to become;
1.035 × $3,000= $3,105.After the second year; we have;
1.035 × $3,105= $3,213.675Ultimately; the amount to be paid after 2 years will be; $3,213.675.
When given the opportunity to change rent contracts;
A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.Read more;
https://brainly.com/question/24712879
Someone plz help me :(
Step-by-step explanation:
option A is correct answer
Answer:
Should be C if not then A
Step-by-step explanation:
I need #7 done (show work) will give brainliest
Answer:
see explanation
Step-by-step explanation:
(7)
∠ RPS + ∠ QPR = ∠ QPS , substitute values
8x + 7 + 9x + 16 = 40 , that is
17x + 23 = 40 ( subtract 23 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
How do you make a circle graph without any extra space?
Answer:
draw a circle, and draw the degrees
Step-by-step explanation:
I’ll give brainliest and thanks and 5 stars
Solve for c and d.
Answer:
c = 58, d = 50
Step-by-step explanation:
c = 180 - 50 - 72 = 58
d = 180 - 72 - 58 = 50
Answer:
C = 58
D = 50
Step-by-step explanation:
C is 58 as all angles on a straight line add up to 180 degrees
D is 50 as all angles within a triangle add up to 180 degrees
(72+58 = 130, 180-130 = 50)
When resting, a spring measures 73.3 millimeters. When the spring is
compressed, it measures 51.29 millimeters. Find the percent of
decrease in the length of the spring. Round to the nearest percent if
necessary
Answer:
-30%
Step-by-step explanation:
The percentage change in length is given by ...
percent change = ((new length) -(original length))/(original length) × 100%
= (51.29 -73.3)/73.3 × 100%
= -22.01/73.3 × 100% = -0.30027 × 100%
= -30%
The decrease in the length of the spring was 30%.
Answer:
30
Step-by-step explanation:
because divide
if f(x)= -13, find x
Find the slope of the line given the following points on the line:
(-6, 4) and 2, 7)
Answer:
3/8
Step-by-step explanation:
Answer:
[tex]\boxed{\sf Slope:3/8}[/tex]
Step-by-step explanation:
To determine the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]
[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]
[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]
_______________
[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]
[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]
_________________________________________