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
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Choices for the first blank :
(SSS)
(SAS)
(AAS)
(ASA)
(AAA)
(SSA)
(HL)
Second blank choices :
Can be proven or cannot be proven congruent
Answer:
They are congruent by HL
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
2 right triangles.
Hypotenuse and 1 leg are congruent.
-8/9 - (2 1/3)
show all your work
Answer:
1 8/9 - 1 2/3 = 2/
9
≅ 0.2222222
Step-by-step explanation:
How do you solve fractions step by step?
Conversion a mixed number 1 8/
9
to a improper fraction: 1 8/9 = 1 8/
9
= 1 · 9 + 8/
9
= 9 + 8/
9
= 17/
9
To find a new numerator:
a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/
9
= 9/
9
b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17
c) Write a previous answer (new numerator 17) over the denominator 9.
One and eight ninths is seventeen ninths
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 17/
9
- 5/
3
= 17/
9
- 5 · 3/
3 · 3
= 17/
9
- 15/
9
= 17 - 15/
9
= 2/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen ninths minus five thirds = two ninths
Х
у
10
-4
2
1
6
-5 help pls
Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.
help it’s due monday number 12
Answer:
a. 5
Step-by-step explanation:
Given that Sophia bought 3 bags of candy, and each bag has 15 pieces:
[tex]3*15 = 45[/tex]
Sophia has 45 total pieces of candy.
If Sophia would like to fill 9 party bags with the candy she has bought, she must divide the 45 total pieces of candy into the 9 party bags:
[tex]45[/tex] ÷ [tex]9=5[/tex]
Therefore, each party bag will have 5 pieces of candy in it.
Answer:
A. 5
Step-by-step explanation:
A, since you can follow these steps:
First, find how many total pieces of candy must be distributed. This is always what needs to be answered in this sort of question.
In this case, it is 3 bags of candy ⋅ 15 pieces of candy in each.
The result - from 3(15) - is 45 total pieces of candy.
Now, we see that we're distributing that value among 9 people (this is another correct way of wording it).
So the result is 45/9, which then results in 5 pieces of candy for 9 guests.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
How many 6 are in two
thirds
Hi I really need help with this question please 15 POINTS!!
What effect does replacing x with x + 6 have on the graph for the function f(x) ? f(x)=|x+3|−2
The graph is shifted down 6 units.
The graph is shifted up 6 units.
The graph is shifted right 6 units.
The graph is shifted left 6 units.
Answer:
answer attached
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppp
Answer:
£120
Step-by-step explanation:
original_price = discounted_price / (1 - discount / 100)
78/(1-35/100)=120
Determine if the statement is true or false.
Justify your response.
If one vertex of a slope triangle is at (0,0), the other vertex on the line will be the point that represents the simplified unit rate or slope
The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).
Explain about the Slope triangle?A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.
The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.
This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.
To learn more about Slope triangle refer to:
https://brainly.com/question/24820338
#SPJ2
4x+3+3=-2
help asappl
Answer:
x = − 2
Step-by-step explanation:
20x29 devided by 9+20=?
help
Answer:
20
Step-by-step explanation:
[tex] \frac{20 \times 29}{29} = 20[/tex]
Answer:
20X29 devided by 9+20=84.4444444444
If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be
Assuming u make 15 dollars a hour for normal pay?
Answer:
first week would be $750 second week would be $825
If your pay is every two weeks it would be $1575
Step-by-step explanation:
The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in like 15 minutes so please hurry)
Would appreciate brainly <3
3x-4y=
3x−4y=
\,\,9
9
-5x+4y=
−5x+4y=
\,\,-23
−23
Answer: (7,3)
Step-by-step explanation:
[Please check]: I decoded the equations as follows:
3x-4y=9 and −5x+4y=-23
We can solve this by either of two methods: Algebra and graphing.
Algebra:
Add the two equations:
3x-4y=9
−5x+4y=-23
-2x = -14
x = 7
Use x=7 to solve for y:
3x-4y=9
3(7)-4y=9
21 -4y = 9
-4y = -12
y = 3
----
The solution is (7,3)
======
Graphing:
See the attached graph. The lines intersect at (7,3)
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answer:
whaat?
Step-by-step explanation:
heeeeeyyyyy someone can aswer plz? Thx
Answer:
b)
x=65+32 [ being ext. angle of triangle is equal to the sum of two opposite interior angle]
therefore x=97°
PLS HELP!!!!!!! I AM GIVING BRAINLIEST!!!!!
Select the correct images.
Select the parent function and its graph.
Answer:
The answer in image one is f(x)=2x Left
The answer in image two is f(x)=x Center
the answer in image three where right Right
Answer:
The answer is f(x) = x. Its the second graph.
Step-by-step explanation:
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away
The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.
From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.
Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:
= 3 + (0.25 × m)
= 3 + 0.25m
In conclusion, the function is 3 + 0.25m.
Read related link on:
https://brainly.com/question/25767370
(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.
Answer:
queen's width = 60 in
queen's length = 80 in
king's width = 76 in
king's length = 80 in
Step-by-step explanation:
-queen's wide = ???
-same length = queen's wide + 20
king size:
-king's wide = queen's wide + 16
-same length = queen's wide + 20
queen's area = x
king's area = x + 1280
area = width * length
let's call queen's width and king's width "qw" and "kw" respectively
let's call queen's length and king's length "ql" and "kl" respectively
Q area:
qw * (qw + 20)
qw² + 20qw = x
K area:
(qw + 16) * (qw + 20) = x + 1280
qw² + 36qw + 320 = qw² + 20qw + 1280
qw² - qw² + 36qw - 20qw = 1280 - 320
16qw = 960
qw = 960 / 16
qw = 60
ql = 60 + 20
ql = 80
kw = 60 + 16
kw = 76
kl = ql
kl = 80
hey guys can u check my answers, if you see one thats not correct pls correct me!
Answer:
b. 300 c. 18 d. 30
Step-by-step explanation:
b. 400/4=100, 100*3=300
c.0.3*10=3, 3*6=18
d.0.75*10=7.5, 7.5*4=30
Answer:
B C and D are incorrect
Step-by-step explanation:
1/2 • 13 is 6.5
3/4 • 400 = 300
(0.3)•60 = 18
(0.75) • 40 = 30
Brainliest please
what fraction is not equivalent to 2/6? 1/3, 12/36, 4/12, 6/9
Answer:
6/9
Step-by-step explanation:
1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal
2.
Which is the solution of the system of equations?
y = x - 4
y = -3x
A. (3, -1)
B. (-3, 1)
C. (-1, 3)
D. (1,-3)
Please explain
Answer:
x = 1
y = -3
Step-by-step explanation:
There are 2 ways, in this case the best way is by substitution so:
y = x - 4
y = -3x
basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.
y = -3x
so that means that
-3x = x - 4
you solve the equation:
-3x - x = -4
-4x = -4
x = -4 : -4
x = 1
Now we know that x is 1 so now we find out what is y
y = 1 - 4
y = -3
x+3y-xy=3
x^2+y^2+xy=3
Answer:
Y = 1
Step-by-step explanation:
on a graph this would be a circular shape and y= 1
These tables of ordered pairs represent some points on the graphs of lines p and r.
Which system of equations is represented by lines p and r?
9x−4y=−92x+4y=15
3x−y=−127x+3y=21
2x−y=−82x+y=7
x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3
Answer:
The answer above mine is correct and here is why.
Step-by-step explanation:
Please rate this answer choice 5 stars and leave a thanks, You do not need an acount to do this.Which equation has a value less than 2,175?
1 x 2,175 = ________
2 x 2,175 = ________
two halves x 2,175 = ________
one half x 2,175 = ________
Order from greatest to least: 3.008,3.825,3.09,3.18
Answer:
G: 3.825
3.18
3.09
L: 3.008
Step-by-step explanation:
G is greatest, L is least.
Hope this helps!
5
7
2
8
1) what is the area (square units)
guys is there a way to change your age on brainly i pressed the wrong age and now brainly thinks im in high school when im in middle school.
also solve this problem so i can put it under math.
what is 176x 1,789
Answer:
i dont think so...
Step-by-step explanation:
314864
Answer:
314,864 is the product.
Step-by-step explanation:
176 x 1,789= 314,864
PLEASE HELP, DUE TOMORROW
