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
nika2105 [10]
3 years ago
10

According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 ye

ars. What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?
Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

According to geologists, the San Francisco Bay Area experiences five earthquakes with a magnitude of 6.5 or greater every 100 years.

One earthquake each 100/5 = 20 years.

What is the probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years?

40 years, so \mu = 40/20 = 2

This probability is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

13.53% probability that no earthquakes with a magnitude of 6.5 or greater strike the San Francisco Bay Area in the next 40 years

You might be interested in
Use the hundreds try to find a mystery number The number has 2 even digits the number in the tens place is greater than the numb
AlladinOne [14]

Answer:

84

Step-by-step explanation:

2 even numbers and its sum is 12: 4, 8 and 6, 6

tenth place > ones place   84

8 0
3 years ago
Read 2 more answers
Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴​
Sholpan [36]

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

4 0
2 years ago
Read 2 more answers
Help with this system of equations !! y = 3x + 21; y = -7x + 2
s2008m [1.1K]
C) x = -19/10 because when solving it with substitution u get x=-19/10 & y=153/10
3 0
3 years ago
What is the median of the followng set of number 1,6,8 and 10
erastova [34]

The answer is 2.5

Step-by-step explanation:

Formula = (N + 1 / 2th) term

So,

Total numbers (N) = 4

Now,

(N + 1 / 2th) term

= (4 + 1 / 2th) term

= (5 / 2th) term

= (2.5th) term

<em>If</em><em> </em><em>you</em><em> </em><em>like</em><em> </em><em>it</em><em> </em><em>plz</em><em> </em><em>make</em><em> </em><em>me</em><em> </em><em>brainliest</em>

3 0
2 years ago
Algebra find the unknown digit to make each statement true 6.837&gt; 6.83 miss number &gt; 6.835
Tamiku [17]
So <span>the missing digit must be "6".</span>
8 0
3 years ago
Other questions:
  • Becca paid $5.80 for 21/2 pounds of beef. How much did she pay per pound
    6·1 answer
  • If Robert was on a train and he ate 7 apples in 20 minutes, and the train takes 2 hours to get Florida how many apples will he h
    11·2 answers
  • If XP = 4 and PT = 1, in square units what is the area of the shaded portion of larger circleX?
    6·1 answer
  • A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
    9·1 answer
  • If you eat 12 strawberries in 3 minutes, how long will it take to eat 8 strawberries at that rate?
    10·1 answer
  • Which function represents exponential decay?
    9·1 answer
  • Heyy! i’ll give brainliest please help
    12·1 answer
  • Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15
    8·1 answer
  • Write an inequality to represent each sentence. Use n for the variable.
    9·2 answers
  • Visual domain and range
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!