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
Write the given expanded form into the standard form of a number.
4
4
T-Th + 5
+
5
T + 1
+
1
H-Th + 9
+
9
O + 3
+
3
M + 7
+
7
Th
Answer
44,005 + 5,001+ 100,009 + 93 + 3,000,007+ 7,000
Step-by-step explanation:
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
help lol
The FOIL method helps you remember how to multiply each term in one ____________ by each term in the other ____________.
The FOIL method helps you remember how to multiply each term in one binomial by each term in the other binomial.
What is FOIL method?FOIL is the standard method of multiplying two binomials.
The word FOIL is an acronym for the four terms of the product:
First (“first” terms of each binomial are multiplied together)Outer (“outside” terms are multiplied—that is, the first term of the first binomial and the second term of the second)Inner (“inside” terms are multiplied—second term of the first binomial and first term of the second)Last (“last” terms of each binomial are multiplied)We try to explain this using an example.
[tex]= (2x+1)(3x+ 5)\\\\=(2x * 3x) + (2x * 5) + (1* 3x) + (1 *5)\\\\= 6x^{2} + 10x + 3x + 5\\\\= 6x^{2} + 13x + 5[/tex]
Learn more about FOIL method here
https://brainly.com/question/27785127
#SPJ2
please help asap…………
I will give BRAINLIEST plz help
Answer:
-0.37
-2.86
0.91
0.19
1.46
Step-by-step explanation:
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.
Answer:
8.89 feet
Step-by-step explanation:
[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89
Cuanto le mide a messi la tula ?
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
ANYONE CAN HELP ME ?? :)
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
Is -5/2 greater than 3?
Answer:
No -5/2 is not greater than three.
Step-by-step explanation:
You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.
Answer:
No
Step-by-step explanation:
[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.
Positive integers don't have a plus sign in front of it because we already assume it is there.
your internet provider offers two different plans. One plan costs $.02 per email plus a $9 monthly service charge. the other plan costs $.05 per email with no service charge.
Answer:
Step-by-step explanation:
y=.02x+9 - First Part
y=.05x - Second Part
the quotient of y and 8 is greater than 10
Answer:
Well the ineqaulity here would be
y/8 > 10
Or in simpler terms
y ÷ 8 > 10
If you were to solve
y > 80
Please help!!!!! (worth 45 points)
Answer:
5 + (-5) and 8 + (-8)
Step-by-step explanation:
Sum of zero means when you add them you get 0
so the others are wrong
-5 + (-5) = -10 because you have -5 and you add another -5
-12 + (-12) = -24 you start with -12 and you add another -12
Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.
Which general rule should you follow as you collect variable terms on one side of an equation?
Answer:
You should always Use addition or subtraction to separate the variable on one side of a equation.
Step-by-step explanation:
On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
Learn more on AP here: https://brainly.com/question/24072079
Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
I need help with these two questions!! HELP
Answer:
AB and GF are skew
DH and BF are II
EF and HG are skew
ABCD and EFGH are II
Step-by-step explanation:
II is parralell or side by side.
Skew would be like intercepting with one another.
Have an awesome day! :D
The table below shows the incomplete values as y varies directly as
x. Calculate the missing values.
y =10 20_
x =5_ 2
Answer:
y=30
x=3
Step-by-step explanation:
~may it help you~
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality.
Answer:
<-2
Step-by-step explanation:
i took the test
Answer:
<-2
Step-by-step explanation:
k12
all quiz answers for a crown!
Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.
Let d represent the distance Jane drove. Which inequality represents this situation?
−6.3+d≥−4 1/2
−6.3+d>4 1/2
−6.3+d>−4 1/2
−6.3+d≥4 1/2
The inequality that represents the situation is as follows (where d
represents the distance Jane drove):
−6.3 + d > 4 1/2
She lives on a straight road that goes east and west.
d = distance Jane drove.
She started from a point 6.3 miles west of her home and drives a certain distance to the store. Therefore,
She drives
-6.3 + dThe store is more than 4 1/2 miles east of her home. Therefore,
- 6.3 + d > 4 1/2read more: https://brainly.com/question/25658107?referrer=searchResults
Answer:
Hope this helps!
Help me pleasee asap !!
Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°
Will give brainliest!
Answer:
1.) 1 1/3
2.) 6/7
Step-by-step explanation:
1.) 16/12 = 4/3 = 1 1/3
2.) Add the numerators if the denominators are the same already
Answer:
1. 1 1/3
2. 6/7
3. 1 1/4
Step-by-step explanation:
For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.
5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:
5 1 6
----- + ------ = -------
7 7 7
To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4
HOPE THIS HELPS :)
Write three consecutive multiples of 13 in a general form.
Answer:
answer given in step by step...
Step-by-step explanation:
13x+13(x+1)+13(x+2)=312
13x+13x+13+13x+26=312
39x+39=312
39x=312-39
39x=273
x=7
first number=13x=13*7=91
second number=13(8)=104
third number=13(9)=117
List the first six common multiples of 6 and 9
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation: