The probability of dry weather (D) = 1⁄2, rain (R) = 1⁄3 and snow (S) = 1⁄6
If it is dry the probability that someone will arrive on time is 4
/5.
If it rains the probability that someone will arrive on time is 2
/5.
If it snows the probability that someone will arrive on time is 1
/10.
Calculate the probability that somebody is late.
=============================================================
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?"
-------------------------
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".
-------------------------
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.
---------------------------
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
What is the MAD for the following data set? 5,15,10,35,25
I NEED HELP ON THE WRITE A STATEMENT PART ASAP!!!
Answer:
the answer
Step-by-step explanation:
Please answer I’ll make brainliest. I have other questions too that I’ll be posting shortly
Answer:
13.3 (rounded in the tenth place)
Step-by-step explanation:
equation: a^2 + b^2 = c^2
What we know :
a = 20^2 = 400
b = what we are looking for
c = 24^2 = 576
Our equation will be looking like :
20^2 + b^2 = 24^2
400 + b^2 = 576
Now we subtract 400 into 576
which equals 176 now we square root it
and get 13.2664 but we gotta square root it and that will lead you to have 13.3 as your answer
Answer:
31.24
Step-by-step explanation:
a^2+b^2=c^2
20^2=400
24^2=576
576+400=976
√976=31.24
Each side of a regular hexagon has a length of 2 ft 3 in. Find the perimeter of the regular hexagon
Answer:
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Step-by-step explanation:
jcjcjcjcjjcjcjcjcjc
Answer:
t is a regular hexagon of side 2′. So it can be divided into 6 triangles equal in all respects.The sum of all interior angle of hexagon =(n-2)*180 = (6–2)180 =720 deg. each interior angle =720/6 =120 deg.Side of the triangle divides this angle into two equal halves each = 60 deg.when two base angles of each triangle are 60 and 60 third angle will also become 60 making it as equilateral triangle. N ow the area of hexagon =6*the area of each equilateral triangle of base 2 ft.=6*1/2*2*h. h is the altitude of the triangle=2/2*tan 60 = rt3 =1.732 .NOW area of hexagon =6*1.732 = 10.392 sq.ft
How to find a side of a square when area is given?
Answer:
length =√area use this formula
The side length of square can be found by taking the square root of Area.
What are Squares?Square are closed polygons which consist of four sides and four angles.
Each angle is 90 degree.
All the sides are of equal length.
So, by the definition of square, we know that the side lengths of square are equal.
The formula to calculate the area of the square is,
Area = a², where a is the length of one side of the square.
Let Area be given, let it be equal to A.
Then,
a² = A
Taking square root on both sides,
a = √A
Hence the side length is found by taking the square root of Area.
Learn more about Area of Square here :
https://brainly.com/question/30556035
#SPJ7
Ronald’s parents have $35,000 saved and want to save a total of $125,000 for Ronald to go to college. Ronald’s parents began saving when Ronald was born and plan to save until he is 18 years old. Ronald is 5 years old now. About how much money do Ronald’s parents need to save each month?
Answer:
Money need to save each month = $576.92 each month
Step-by-step explanation:
Given:
Amount of money need to save = $125,000 - $35,000 = $90,000
Number of year remain = 18 - 5 = 13 year
Number of months = 13 x 12 = 156 months
Find:
Money need to save each month
Computation:
Money need to save each month = 90,000 / 156
Money need to save each month = $576.92 each month
Which property is represented below 16•5•2=2•5•16
A. Associative property of addition
B. Associative property of multiplication
C. Commutative property of addition
D. Commutative property of multiplication
Answer:
D
Step-by-step explanation:
dot in the numbers show multiplication, it like to solve x equation
Will give brainiest to correct answer with explanation
Suppose 9x + 12 donuts were sold on
Friday and 4x - 3 were sold on Saturday.
What is the total number of donuts sold?
Answer:
jesus is always the answer
Step-by-step explanation:
jesus jesus
Triangle ABC is similar to triangle XYZ solve for t?
Answer:
t = 6.5
Step-by-step explanation:
This is a Khan question
PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Answer:
ummm ummm i dont know
Step-by-step explanation:
Answer:
B (-5,5)
Step-by-step explanation:
-12+a/2=-6
-7+a=-12
a=-12+7
a=-5
-3+b/2=1
-3+b=2
b=2+3
b=5
if you answer i will give you brainliest
Answer:
OK hiiiiiiiiiiiiiiiii.
Help! this homework id due tomorrow! (3-5-2021) Please help!
Answer:
432 inches.
Step-by-step explanation:
The formula for finding the area of a triangle is;
[tex]\frac{b*h}{2}[/tex]
Using this, we can find the area of each individual piece.
[tex]\frac{6*6}{2} =18[/tex]
Now that we have this, we simply multiply 18 by 24, which gives us 432.
for each line, determine whether the slope is positive, negative, zero or undefined. (this is homework.)
Answer:
I think 1 is negative, 2 undefined, 3 negative, 4 positive
Step-by-step explanation:
Answer:
1. zero
2. undefined
3. negative
4. positive
What is the value of the function? f(x)=(−2)^3 (3)^0 (4)^−2
Answer:
-1/2
Step-by-step explanation:
hello :
f(x)=(−2)^3 (3)^0 (4)^−2
(−2)^3 = -8
(3)^0 =1
(4)^−2 1/ (4)^2 =1/16
so : f(x) = (-8)×(1)×(1/16) = -8/16 = -1/2
please help i don’t understand
Step-by-step explanation:
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What is the value of x
Which angle marker refers to APD?*
E
D
Р
B
O
1 - Orange
2 - Green
3- Blue
Ο Ο
4 - Purple
O
None
Answer: None
Step-by-step explanation:
angle APD would suggest that P is the vertex (where the rays of the angle originate) and A and D would be the rays that extend outward from the vertex forming an angle. This angle is not marked on the diagram.
What is the greatest common factor of 50, 42, and 30?
Answer:
2
Step-by-step explanation:
[tex]50 = 2 \times 5 \times 5 \\ \\ 42 = 2 \times 3 \times 7 \\ \\ 30 = 2 \times 3 \times 5 \\ \\ common \: factor \: = 2 \\ \\ gcf = 2[/tex]
help me plsssssssssssssssssssssssssssss
True or False? k= 1 is a solution to the inequality 9k + 5 > 18. True or False
Answer:
False
Step-by-step explanation:
Answer: False
Step-by-step explanation:
Please help. Will give Brainliest
Answer:
A dilation
Step-by-step explanation:
I did this in math
Hope I helped! Have a nice day! Plz mar as brainliest!!! :D
-XxDeathshotxX
Answer:
This is a nonrigid transformation called a dilation.
Step-by-step explanation:
A dilation is when a pre-image's dimensions are altered in proportion with the pre-image. The image has a proportional relationship with the pre-image. The shape can get larger or smaller in size.
Shelby can type many words (w) in a minute (t). Which equation shows the number of words she can type in 5 minutes?
w=5t
w=t+5
w=t5
Answer:
w = 5t
Step-by-step explanation:
usually, numbers are written before the letters.
Answer:
you have your answer to this but hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
how are you
4(2x-1)=36
How do I answer this
Answer:
x=5
Step-by-step explanation:
4(2x-1)=36
first distribute
8x-4=36
add 4 to both sides
8x=40
divide both sides by 8
x=5
Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.
Answer:
frrffrwfr
Step-by-step explanation:
Solve the two-step equation.
-0.45x + 0.33 = -0.66
What is the solution?
x = -2.2
x = -1.4
x = 1.4
x = 2.2
Answer:
x = 2.2
Step-by-step explanation:
-0.45x + 0.33 = -0.66
-0.45x = -0.99
x = 2.2
Brainly plz :))
30000 at 8% per year for 10 months equals to
Answer:
2000
Step-by-step explanation:
S.I=P×rate / 100×time
30000×8 / 100×5/6
=2000
Write the fraction or mixed number as a percent (7/20)
Answer:
it would be 35% and as a decimal its 0.35
Step-by-step explanation:
hope that helps
Answer:
35%
Step-by-step explanation:
7/20 = 35/100 (you multiply by 5)
35/100 = 35%
Help me with this yes im lazy 2 pages thats it.
Answer:
2.)[tex]\frac{1}{4}/3=\frac{1}{4}*\frac{1}{3}=\frac{1}{12}[/tex] s yes she is correct
3.)[tex]\frac{1}{5}*\frac{1}{7}[/tex]
4.)C[tex]\frac{1}{5}/2= \frac{2}{5}[/tex],D[tex]\frac{1}{12}/5=\frac{1}{60}[/tex],E
6.)[tex]\frac{1}{8}/3=\frac{1}{24}[/tex]
Step-by-step explanation:
im not very good at word problems so i didnt do the secnd page sorry
Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
A golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball.
The ground doesn’t exert a force on the golf ball.
The force is zero because the golf ball has little mass.
Answer:
A and B
Step-by-step explanation:
Answer:
golf ball striking the ground is a collision.
The ground exerts an equal force on the golf ball. y-step explanation:
PLATO