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Explanation:
Define the following events
D = weather is dryR = weather is rainyS = weather is snowyL = person is lateT = person is on timeWe are given the following probabilities
P(D) = 1/2P(R) = 1/3P(S) = 1/6Then we're further told that "if it is dry, then the probability someone will arrive on time is 4/5". We can condense that into the notation
P(T given D) = 4/5
The "given D" means that we know 100% that event D has occurred. So we're seeing how event T behaves because of D occurring. In other words P(T given D) is the same as saying "What is P(T) when we know D has happened?"
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The instructions also mention that "If it rains, the probability someone is on time is 2/5" tells us we have the notation
P(T given R) = 2/5
And also, the probability someone is on time if it is snowy is
P(T given S) = 1/10
due to it saying "If it snows, the probability that someone will arrive on time is 1/10".
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To recap so far, your teacher told you these three conditional probabilities
P(T given D) = 4/5P(T given R) = 2/5P(T given S) = 1/10They are conditional due to the "given" as part of the probability. They depend on the given event happening.
Subtract each fraction from 1 and we end up with these complementary probabilities
P(L given D) = 1/5P(L given R) = 3/5P(L given S) = 9/10I'm using the idea that P(A)+P(B) = 1, where A and B are complementary events. One or the other event must happen. Either you are on time, or you are late.
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Recall the conditional probability formula is
P(A given B) = P(A and B)/P(B)
which rearranges to
P(A and B) = P(A given B)*P(B)
We'll use this idea to get the following
P(L and D) = P(L given D)*P(D) = (1/5)*(1/2) = 1/10P(L and R) = P(L given R)*P(R) = (3/5)*(1/3) = 1/5P(L and S) = P(L given S)*P(S) = (9/10)*(1/6) = 3/20This means,
P(L) = P(L and D) + P(L and R) + P(L and S) ..... law of total probability
P(L) = 1/10 + 1/5 + 3/20
P(L) = 2/20 + 4/20 + 3/20
P(L) = (2+4+3)/20
P(L) = 9/20 is the probability someone is late
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answer:
h=20
i=75
g=55
Step-by-step explanation:
20 is equal to h
75 is equal to i
g looks like its in the middle of them so you would subtract the two and be left with 55
g=55
im not the best at math so im sorry if its wrong.
Answer:
H= 20
I= 75
G= 20
Step-by-step explanation:
What is the best estimate of the total number of crabs found in the Mid-Atlantic region? Help please
Answer:
100
Step-by-step explanation:
because i got it right
HELP THIS BS IS DUE IN 20 MINS!!!!!!!
Answer: 5.5
Step-by-step explanation:
If each sandwich is $5.5 then the slope must be y=5.5x
Help!!!!!!!!!!!!!!!!!
Answer:
-64
Step-by-step explanation:
9/10 = d/6.4 what does d equal
what is the length of BC ?
Answer:
b = √12
Step-by-step explanation:
Pythogerom Thyrom
a^2 + b^2 = c^2
2^2 + b^2 = 4^2
4 + b^2 = 16
Find the value of b
4 - 4 + b^2 = 16 - 4
b^2 = 12
b = √12
The measures of the angles of a triangle are shown in the figure below. Solve for x. 620 39°
Answer:
6.29
hope this helped
Step-by-step explanation:
:)
Can someone please help me with math
I need it fast
Find the value
Answer:
a)7
b)x=6
Step-by-step explanation:
Answer:
z = 4, x = 6
Step-by-step explanation:
(a)
[tex]\frac{5z+1}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )
5z + 1 = 21 ( subtract 1 from both sides )
5z = 20 ( divide both sides by 5 )
z = 4
(b)
[tex]\frac{5x}{3}[/tex] + 3 = x + 7 ( multiply through by 3 to clear the fraction )
5x + 9 = 3x + 21 ( subtract 3x from both sides )
2x + 9 = 21 ( subtract 9 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
HELP AND I WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
A hospital has to be patrolled by security guards 24 hours a day. Seven security guards are ordered to split each day’s guard duty equally. How long will each security guard spend on guard duty in one day? Record your answer in hours rounded to the nearest tenth.
Answer:
3 hours
Step-by-step explanation:
24/7 = 3.42 hours and rounded that will be 3 hours
WILL GIVE BRAINLIEST
All of the following are possible ways to write the expression "n - 3" as a phrase EXCEPT:
1. n minus 3
2. n subtracted from 3
3. 3 fewer than n
4. n decreased by 3
Answer:
#2 is the answer
Step-by-step explanation:
it is basically saying 3-n but its n-3 so its #2
Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)
9514 1404 393
Answer:
(x+ (-4), y+ (-4))
Step-by-step explanation:
After point D is reflected across the y-axis, its coordinates are ...
D(-1, 2) ⇒ D'(1, 2)
This is the point that gets translated to F(-3, -2). The translation is ...
F -D' = (-3, -2) -(1, 2) = (-3-1, -2-2) = (-4, -4)
Then the translation rule is ...
(x, y) ⇒ (x+(-4), y+(-4))
PLEASE HELP I DONT UNDERSTAND
Answer:
112
Step-by-step explanation:
Divide 1111 By 999 and you get 1.1121121121121
So 112 is repeating over and over in the decimal.
112 is repeated 4 times and starts to repeat again.
Hope that helps!
The ratio of the number of Rutgers basketball fans to the number of Seton Hall basketball fans is 10:2. What fraction of the fans are Seton Hall fans?
Answer:
1/6 of the fans are Seton Hall fans
Answer:
2/12
srry if I'm wrong
The black triangles are similar. Identify the type of segment shown in blue and find the value of the variable. altitude base hypotenuse median Question 2 y=
Answer:
Hello your question is incomplete attached below is the complete question
answer : ALTITUDE , x = 24
Step-by-step explanation:
The type of segment shown in Blue is ALTITUDE segment
This is because
Angle BCD = Angle CEG (opposite angles)
Angle ACD= Angle CFG (opposite angles)
Angle ADC = Angle BCD= Angle CEG = Angle CFG
It can be seen that the triangles are similar hence
18/27=16/x
therefore X =24
Jamie's truck has a 40-gallon gas tank.
• The tank is one-fifth full of gas.
• Jamie is filling the rest of the tank with gas that costs $1.89 per gallon.
What is the approximate cost for Jamie to completely fill her tank?
Answer:
$60.48
Step-by-step explanation:
hope this helps!!
Your mom is throwing a huge party for your graduation! Her total budget for the party is $1050. She must pay a fee of $400 to hold your party at Dave & Buster's. She is responsible for paying $50 for each guest so that they can eat and play. How many guests, g, can you invite to your graduation party?
Step-by-step explanation:
She has 1050
400 of that is the DB fee
Now she has 650 dollars
650/50 per person is 13
She can have 13 people
show that (3x+7)² -84x = (3x-7)
could someone plz help me on this :,)
Answer:
C if its a parallelogram than opposite sides are parallel
Simplify the expression.
t+2+6t
Answer:
2t + 8
Step-by-step explanation:
add the like terms.
A six-sided number cube is rolled once and a random card is pulled out of a deck of cards. Find the total outcomes.
What are you trying to find the total outcome of any card?
Step-by-step explanation:
answer 1/52 ; 1/6
Step-by-step explanation:
Check the picture and thanks
Answer:
I think the answer would be 'a'
I need help with 2.04, 2.06 and 2.08!!
Answer:
Sorry I can't help with2.08
Hope the remaining helped
PLS mark BRAINLIEST
image
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 1 options:
A)
Yes; AA; ΔIGF ∼ ΔMNL
B)
Yes; SAS; ΔIGF ∼ ΔMNL
C)
Impossible to determine.
D)
The triangles are not similar.
Answer:
Yes; SSS;Triangle AYM Triangle EDC The answer will be D is the correct answer choice.
Step-by-step explanation:
simplify please ......
Answer:
Simplifying
5x + 5x = 10x
Combine like terms: 5x + 5x = 10x
10x = 10x
Add '-10x' to each side of the equation.
10x + -10x = 10x + -10x
Combine like terms: 10x + -10x = 0
0 = 10x + -10x
Combine like terms: 10x + -10x = 0
0 = 0
Step-by-step explanation:
Answer: 5x+5x=10x²
10x=10x²
10x²+ -10x²=0
10x+-10x²=0
10x(1+ -1x)=0
ignore the factor 10
Step-by-step explanation:
If you watched any or both of these movies, make a 5 sentence summary about it
(ill give brainly and 25 points) :)
Answer:
Disney The Jungle Book (the first one): Mowgli (played by Neel Sethi) is a young boy that was raised by a family of wolves. One day he has to leave his home when the fearsome tiger, named Shere Khan (voiced by Idris Elba) unleashes a powerful roar. With aid from a panther (voiced by Ben Kingsley) and a care-free bear (voiced by Bill Murray), Mowgli meets a ton of new jungle animals. A few of which include a slithery python and a friendly ape. Along his way, Mowgli learns valuable lessons about life in this movie full of fun and adventure.
The Jungle Book (the second one): This is a classic Walt Disney animation that is based on Rudyard Kipling's book. Mowgli is a young, abandoned child who was raised by wolves. One day his peaceful life is threatened by the evil tiger, named Shere Khan (voiced by George Sanders). Mowgli must leave his wolf family behind in order to return to the "man village." Throughout his quest he is not alone, aided by a panther named Bagheera, and later on, a carefree bear named Balloo, he traverses the jungle's many perils.
Step-by-step explanation:
Hope this helps :)
I need help with this
Find the solution of the system of equations.
10x+6y= 16
−10x+5y= 50
Answer:
( − 2 , 6 )
x = − 2
y = 6
Step-by-step explanation:
Arianas goal is to reach $600 the first week she raises 30% of $600 .The second week she raises 50% of the $600 How much money does Ariana raise in the first two weeks?0
Answer: The amount raised by Ariana in the first two weeks =$480
Step-by-step explanation:
Given: The first week she raises 30% of $600 .
The second week she raises 50% of the $600.
Amount raised in the first week = 50% of $600
= 0.50 x 600
= $ 300
Amount raised in the second week = 30% of $600
=0.30 x 600
= $180
The amount raised by Ariana in the first two weeks = $300+$180
= $480
Hence, The amount raised by Ariana in the first two weeks =$480