1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
3 years ago
14

In August 2012, tropical storm Isaac formed in the Caribbean and was headed for the Gulf of Mexico. There was an initial probabi

lity of .69 that Isaac would become a hurricane by the time it reached the Gulf of Mexico (National Hurricane Center website, August 21, 2012).What was the probability that Isaac would not become a hurricane but remain a tropical storm when it reached the Gulf of Mexico?Two days later, the National Hurricane Center projected the path of Isaac would pass directly over Cuba before reaching the Gulf of Mexico. How did passing over Cuba alter the probability that Isaac would become a hurricane by the time it reached the Gulf of Mexico? Use the following probabilities to answer this question. Hurricanes that reach the Gulf of Mexico have a .08 probability of having passed over Cuba. Tropical storms that reach the Gulf of Mexico have a .20 probability of having passed over Cuba.What happens to the probability of becoming a hurricane when a tropical storm passes over a landmass such as Cuba?
Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Answer:

1. The probability that Isaac will not become a Hurricane by the time it reaches the Gulf of Mexico is 0,31

2. The probability of the storm becoming a hurricane is reduced if it passes over a landmass.

Step-by-step explanation:

Hello!

1. In the first part of the problem you have an event A: "The tropical storms Isaac will become a Hurricane by the time it reaches the Gulf of Mexico" and it's associated probability is P(A): 0,69

The event "The tropical storm Isaac will not become a hurricane by the time it reaches the Gulf of Mexico" is the complement of A, symbolized as A^{c}. What we need to calculate now is the associated probability of the complement

<u>Applying Axiomatic probability it follows that:</u>

P(A) + P(A^{c}) = 1

<u> From the formula we can clear the desired probability:</u>

P(A^{c}) = 1 - P(A)

P(A^{c}) = 1 - 0.69

P(A^{c}) = 0,31

The probability that Isaac will not become a hurricane by the time it reaches the Gulf of Mexico is 0,31

2. The second part asks: How did passing over Cuba alter the probability that Isaac would become a hurricane by the time it reached the Gulf of Mexico?

<u>Information: </u>

"Isaac will pass directly over Cuba before reaching the Gulf of Mexico"

"Hurricanes that reach the Gulf of Mexico have a 0,08 probability of having passed over Cuba."

"Tropical storms that reach the Gulf of Mexico have a 0,20 probability of having passed over Cuba"

<u>Now we have three events to take into consideration</u>

A "The tropical storms Isaac will become a Hurricane by the time it reaches the Gulf of Mexico"

A^{c} "The tropical storm Isaac will not become a hurricane by the time it reaches the Gulf of Mexico"

B "The tropical storm has passed over Cuba"

<u>And the probabilities</u>

P(A) = 0,69

P(A^{c}) = 0,31

         <em>>The events A and B are dependable, because "having passed over Cuba" affects the probability of "The tropical storm becoming an Hurricane", the same happens between A^{c} and B. Therefore the later probabilities are conditional probabilities and we can symbolize the as:</em>

P(B/A) = 0,08

P(B/A^{c}) = 0,20

The probability we need to calculate for this part is symbolized as:

P(B∩A) "The tropical storm has passed over Cuba" and "The tropical storms Isaac will become a Hurricane by the time it reaches the Gulf of Mexico"

<u><em>The conditional probability in defined as:</em></u>

<em>P(B/A) = P(B ∩ A)/P(A)</em>

<u>Then:</u>

P(B∩A) = P(B/A)*P(A)

P(B∩A) = 0,08*0,69

P(B∩A) = 0,0552

The probability of the storm becoming a hurracane is reduced if it passes over a landmass.

I Hope you have a SUPER day!

You might be interested in
Brandy set her watch 4 seconds behind and it falls behind another 1 second every day. How many days had it been since brandy las
kari74 [83]

Answer:

18 days

Step-by-step explanation:

Let x represent number of days.

We have been given that Brandy's watch falls 1 second every day. So Brandy's watch will fall 1x seconds behind in x days.

We are also told that Brandy set her watch 4 seconds behind, so Brady's watch will be behind by total x+4 seconds in x days.

Since Brady's watch is 22 seconds behind, so we will equate x+4 by 22 to solve for x as:

x+4=22

x+4-4=22-4

x=18

Therefore, Brandy set her watch 18 days ago.

5 0
2 years ago
Read 2 more answers
WHO KNOWS HOW TO DO THIS LET ME KNOW
jeyben [28]

Answer:

Step-by-step explanation:

7). Since, ∠4 and ∠5 are the linear pair of angles,

    m∠4 + m∠5 = 180° [Supplementary angles]

    72° + m∠5 = 180°

    m∠5 = 180° - 72°

    m∠5 = 108°

8). Since, ∠6 and ∠7 are the vertically opposite angles,

    Therefore, ∠6 ≅ ∠7

    m∠6 = m∠7

    3x + 94 = 9x - 38

    9x - 3x = 94 + 38

    6x = 132

    x = 22

    m∠6 = 3(22) + 94 = 160°

    m∠7 = 9(22) - 38 = 160°

9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.

    m∠2 + m∠3 = 180°

    (13x + 54) + (2x + 36) = 180°

     15x + 90 = 180°

     15x = 90

     x = 6

     m∠2 = 13(6) + 54 = 132°

     m∠3 = 2(6) + 36 = 48°

7 0
2 years ago
Look at the question below
Anna [14]

Answer:

D = 18 miles

Step-by-step explanation:

The coordinate of a library = (4,3)

The coordinate of the school = (-5,3)

We need to find the distance between the library and the school. We can use the distance formula i.e.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles

As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles

So, the correct option is (c).

4 0
3 years ago
How many hours in 1 year?
oee [108]
8765.82 is s how many hours are in one year exactly
8 0
3 years ago
Read 2 more answers
company x has 50 employees and company y has 60 employees. both companies have the same number of full-time employees, but compa
Sloan [31]

Using the simplification, company y has 17 number of part-time employees.

In the given question we have to find how many part-time employees does company y have.

From the question, company x has 50 employees and company y has 60 employees.

Both companies have the same number of full-time employees, but company y has 3 more than twice the number of part-time employees that company x has.

Let company x has A number of part-time employees.

According the given statement

Company y has number of part-time employees = 2A+3

Let company X and Y have B number of full-time employees.

So the total number of employees in company x;

A+B = 50....................(1)

The total number of employees in company x;

2A+3+B = 60

Subtract 3 on both side we get

2A+B=57....................(2)

Subtract Equation 2 and 1

2A+B-(A+B)=57-50

2A+B-A-B=57-50

A=7

Now putting the value of A in equation 1

7+B=50

Subtract 7 on both side we get

B=43

As, Company y has number of part-time employees = 2A+3

Company y has number of part-time employees = 2×7+3

Company y has number of part-time employees = 14+3

Company y has number of part-time employees = 17

Hence, company y has 17 number of part-time employees.

To learn more about simplification link is here

brainly.com/question/2804192

#SPJ4

8 0
1 year ago
Other questions:
  • The table shows values for the two functions f and g for different values of x.
    15·2 answers
  • 2x + 5 = 8x - 13 Solve the equation. Do not use decimals in your awnser
    5·2 answers
  • PLEASE HELP, WILL MARK BRAINLIEST, 15 points
    6·1 answer
  • Math question need help
    15·1 answer
  • 13. F(x)= -2x squared help please
    7·1 answer
  • Which variable in the following equation represents the slope of the line? y=mx+b ​
    10·2 answers
  • 1. Solve MMXXVII -MCMXCII<br>A.LV<br>B. XLV<br>C. XXXV<br>D. XXV<br>E. XV​
    13·1 answer
  • What function graph has the greatest slope?<br> A. G(x)<br> B. F(x)<br> C. J(x)<br> D. H(x)
    9·1 answer
  • If b is the midpoint of ac<br> Ab = 2x and ac = 5x + 8<br> Find bc
    14·1 answer
  • Your home was built 5 years ago, and there were three ants. The ant population grows in such a way that each year the number of
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!