. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

      [tex]P(U |D ) = 0.198 [/tex]

b

   [tex]P(O\ n \ B) = 0.188[/tex]

c

  [tex]P(O | B) =   0.498 [/tex]

Step-by-step explanation:

The total number of deaths is mathematically represented as

      [tex]T   =  16 +  23 + \cdots  +  16[/tex]

        [tex]T   =623 [/tex]

The total number of deaths in 1996 - 2000 is mathematically represented as

     [tex]T_a =  16 +  23+ \cdots + 30[/tex]

      [tex]T_a = 235 [/tex]

The total number of deaths in 2001 - 2005 is mathematically represented as

     [tex]T_b =  17 +  16 + \cdots + 23[/tex]

      [tex]T_b = 206 [/tex]

The total number of deaths in 2006 - 2010 is mathematically represented as

     [tex]T_c =  15 +  17 + \cdots + 16[/tex]

      [tex]T_d = 182 [/tex]

Generally the the probability that it would occur under the tree given that the death was  after  2000 is mathematically represented as

     [tex]P(U |D ) = \frac{P(A \ n\  U )}{P(A)}[/tex]

Here  [tex]P(A \ n\  U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

         [tex]P(A \ n\  U )   = \frac{Z}{ T}  [/tex]

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

         [tex]Z =  35 +  42[/tex]

=>       [tex]Z =  77 [/tex]

=>       [tex]P(A \ n\  U )   = \frac{77}{ 623}  [/tex]

=>      

Also

     [tex]P(A)[/tex] is the probability of the death occurring after 2000  and this is mathematically represented as

        [tex]P(A) =  \frac{T_b  +  T_c}{ T}[/tex]

=>      [tex]P(A) =  \frac{ 206+  182}{623}[/tex]

=>  

So

         [tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+  182}{623}}[/tex]

=>      [tex]P(U |D ) = 0.198 [/tex]

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

      [tex]P(O | B) = \frac{T_z}{ T}[/tex]

Here [tex]T_z[/tex] is the total number of death outside / camping before 2001  and the value is  117  

So

            [tex]P(O \ n \ B) = \frac{117}{623}[/tex]

=>          [tex]P(O\ n \ B) = 0.188[/tex]

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

       [tex]P(O | B) =  \frac{ P( O \ n \ B)}{ P(B)}[/tex]

Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as  

          [tex]P(B ) =  \frac{T_a}{T}[/tex]

=>       [tex]P(B ) =  \frac{235}{623}[/tex]

So

          [tex]P(O | B) =  \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]

=>       [tex]P(O | B) =   0.498 [/tex]

what is the product 7/11 and 3/7?​

Plizzz helppp I don't know how to do it helpp​

Day 2- Real World- Midpoint

While planning the layout of her yard, Laura created a grid

system representing her backyard. On the grid, Laura placed

the center of a herb garden at the coordinates (3.14) and wants

to place a bird bath at the point (7,29). If Laura wants to

position the center of a flower garden so that the bird bath is

halfway between the herb and flower gardens, at what

coordinates should the center of the flower garden be placed?

(11, 150

O (11,44)

O (4,44)

O (4,15)

Help

Answer this please and thank you

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Ca
MG3
OB. 0 - 28 = 0
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7
O D. 28 = 0 = 0

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Х
-7
-3
1
5
9
13
-
- 12
yl -28
4
20
36
52
С C
10
>

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(8,-4), (8,2), (3, -3), (3, 1), (-1,-1)
(2.0), (4,0), (2, 1), (4, 1), (2, 3)
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3
y=-2 +4
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Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.


PART A:The number of hours that makes the equation true is

Options: 24, 27, 29,31,34


PART B:Round your answer to the nearest whole number. The manager's prediction is

Options: equal to, less than, greater than


the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

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