Answer: (21,12)
Step-by-step explanation:
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.
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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
Solve the equation square root x+4-3=1 for the variable. Show each step of your solution
So can you just explain how to do it
by how much does 32 exceed 8
Answer:
by 24
Step-by-step explanation:
32-8 = 24
how many times does 0.7 go into 90
Answer:
128.57
Step-by-step explanation:
Answer:
128.571428571
Step-by-step explanation:
90 divided by .7
find the value of x ?
Answer:x=33.6
Step-by-step explanation:
You would set up the equation 6/5 = x/28 Then you would cross multiply 6•28 then divide by 5
Answer:
Answer:33.6
Step-by-step explanation:
I just know it.
Factorizar
1. (a+ b)^3 − 27
2. 2x^2+7x+3
Answer:
1) (a+b) = 3
2) (2x+1)(x+3)
Step-by-step explanation:
Jenna did 5 sit-ups on Saturday, 7 sit-ups on Sunday, 10 sit-ups on Monday, 14 sit-ups on Tuesday, and 19 sit-ups on Wednesday. If this pattern continues, how many sit-ups will Jenna do on Thursday?
same and bethan share £54 into the ratio 5:4 how much does each person get
Answer:
Sam gets £30 and Bethan gets £24
Step-by-step explanation:
5:4
5+4=9
£54/9= £6
£6 x 5= £30
£6 x 4 = £24
Therefore, Sam gets £30 and Bethan gets £24
Please help!!!!.................,
Answer:
I think it's 45 lmk if I'm wrong lol
the area of a Trapezium is 132 cm². Its height is 14 cm the larger parallel side is longer than the other by 16 cm. find the length of the parallel side. Please someone help!!
1/2 (a+b)h
1/2 (a+16)14=132
8×14=112
14÷2=7
132-112=20
20÷7 =2.857142857
so then a= 2.86 (3sf)
For more questions like that turn it into equation the make a subject of formula
round 58.9871 2 decimal place
Answer:
58.9871 rounded to the second decimal place is 58.98.
Step-by-step explanation:
What is cos43 equal to
Answer:
0.73 (rounded to hundredths)
Step-by-step explanation:
cos(43) = 0.73135... = 0.73 rounded to hundredths
find the area of the parallelogram
Answer:
30 cm^2
Step-by-step explanation:
3x10 = 30
Answer=
Area of this parellellogram is 32CM
Hope this helps...Bye
Don't forget to follow me
How long is the blue line in inches? Enter your final answer as a simplified fraction.
Answer:
0/12
Step-by-step explanation:
Answer:
13/15
Step-by-step explanation:
to the nearest tenth, what is the height of the square pyramid shown below?
Answer:
D
Step-by-step explanation:
if you can't see it or don't understand something just tell me:) Good luck and I hope it helped.
Is it a function or not a function?
Answer:
Not a function
Step-by-step explanation:
there's two 9's
GIVING BRAINLIEST!!!!
If the total length of all the meteors were distributed equally between each meteor, how long would each one be?
If the total length of all the meteors were distributed equally between each meteor, how long would each one be?
A) one and one thirty sixth inches
B) one and one thirty eighth inches
C) one and one fortieth inches
D) one and one forty second inches
Answer:
I DID THE QUIZ!
Step-by-step explanation:
The answer is
1 1/40
If five times a whole number increased by 3 is less than 13, then find the solution set.
[tex]5^{2}= 55[/tex]
Answer:
bugahhh
Step-by-step explanation:
bugahhh
Answer:
2 is actually 11
Step-by-step explanation:
5 x 11 = 55
divide 5 from both sides to get,
2 = 11
I think you meant two as a variable maybe?
someone help
.
.
.
.
.
.
.
.
....
.
.
Answer:
What is the question??
Step-by-step explanation:
:/...
-1 -10 - 3) - 50 - 9a
-1 -1 0= -11 -3=--14-50=-64
Answer:
-64-9a
Step-by-step explanation:
(✿◡‿◡)╰（‵□′）╯
Answer the photo below thanks
Please explain your answer
Answer:
A = 1863
Step-by-step explanation:
There are a few ways you could do this but I will do the one I know best.
Keep in mind the area is the L(enght x W(idth) = A(rea)
There are two long rectangles if you cut off the square in the middle so find the area of those two first.
31 x 23 = 713
713 x 2 = 1426 (Did this to get the area for both of them.
Now find the area of the square.
23 x 19 = 437
The you would add them all up together to get 1426 + 437 = 1863
Hope this helps :)
Answer:
1,863
Step-by-step explanation:
ok I will try to explain my answer as easy and under standable as posable.
ok what I did is the left and right side of the building I drew two lines down the middle to crate two huge rectangles on each side and one small rectangle in the middle ok. hope you understand! if you don't click the file down below.
ok after you see the file you will under stand a lot better.
ok
what I did is on the left and right triangle I did 31 tall and 23 wide. what you do I multiply the two numbers.
31 x 23 = 713
then the middle triangle is 23 wide and I did 31 - 12 to get the tall of the triangle since it did not give it to you so I got 19.
so I multiplied 23 by 19 and got 437.
so you adding all three triangles and I get 1,863 by
713 + 713 + 437 = 1,863
hope this helps
Hi what is 34+35????
Answer:
69
Step-by-step explanation:
The boxplot below displays the arm spans for 44
students.
Which of the following is the five-number summary for
the distribution of arm spans?
O 140, 160, 170, 180, 210
O 143, 162, 168, 180, 202
O 143, 165, 175, 185, 200
O 145, 158, 168, 182, 202
140 150 160 170 180 190 200 210
Arm Span (cm)
Answer: B.
Step-by-step explanation: I got it right on edg.
John used 6/8 of a cup of frosting to decorate some cakes. He divided all the frosting equally between 6 cakes. How much frosting did john use on each cake?
Answer:
1/8 of a cup of frosting on each cake
Step-by-step explanation:
Answer: 1/8
Step-by-step explanation:
What would you multiply by to decrease a number by 8%
Answer:
0.92
Step-by-step explanation:
take the 8 away from 100 = 92
then divide the 92 by 100
then you have your answer 0.92
What is the solution for m
PLZZZZZZ HEEEELP WILL MARK BRAINLIEST!!!!!!!!
Answer:
w [tex]\geq[/tex] -2
Step-by-step explanation:
i think that the answer would be w [tex]\geq[/tex] -2
Answer:
w>-2
Step-by-step explanation:
Divide both sides by -10.
These 12 shapes are put into a bag. If you reach
into the bag 60 times, replacing the shape after
each time, predict how many times you would pull
out a circle.
25 times
20 times
30 times
15 times
-5 x 7 + 9 x 5/5
What is the answer
Scroll down for answer.
-5 x 7 = -35
9 x 5/5 = 9
-35+9= -26
-5 x 7 + 9 x 5/5 = -26
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I hope this helped!