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steposvetlana [31]
3 years ago
7

The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for o

ne occurrence, 0.03 for two occurrences, and 0.001 for three occurrences during the next 50 years. Assume that the chance of four or more occurrences is negligible during the next 50 years. If a tornado hits a structure, the probability that it will suffer damage is 70%. Assume that the damage from multiple tornadoes is statistically independent. What is the probability that a structure will not suffer any damage from tornadoes in the next 50 years
Mathematics
1 answer:
hoa [83]3 years ago
8 0

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

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6 0
3 years ago
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Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?
insens350 [35]
<h3>hello!</h3>

What is \sf{\displaystyle\frac{1}{4}} of 12?

In order to find it, we should divide 12 by 4:-

3

Now, solve our word problem:-

Matthew bought 12 roses. \sf{\displaystyle\frac{1}{4} } of these roses were white.

And we already know how to solve this problem :)

Hence,

\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

8 0
2 years ago
Choose the expression that is equivalent to the expression
nadezda [96]

Answer:

A. n

Step-by-step explanation:

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4 0
3 years ago
Jenna is opening a clothing store. She plans to start by selling T-shirts. If it costs her $7 for each shirt, $2 for ink per shi
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PLEASE HELP SO I DONT GET GROUNDED
alina1380 [7]

Hence , the housing expense is mounted expense , food expense is variable expense, insurance and expense is variable expense and emergency fund is mounted expense.

  • Fixed expenses: These are prices that mostly stay constant, like your monthly rent or mortgage.
  • Variable expenses: These are prices that fluctuate or are unpredictable, like feeding out or automotive repairs.

Fixed expense and variable expense:

Housing expense refers to mounted expense since the House rent remains constant per month for many years and afterward, it should modification.

Food expense refers to variable expense that since family doesn't have constant food a day and therefore the rate of purchase of food would possibly modification a day within the market.

Insurance refers to the variable expense because the there is chances of getting sick all members in a mother as well as not at any member get sick .

Emergency fund refers to mounted expense as it is fixed price everyone has to give for future .

Learn additional concerning the expense here:

brainly.com/question/3636923

#SPJ1

6 0
1 year ago
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