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Anestetic [448]
3 years ago
12

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is 0.1 and independent of other

years. What is the probability of a hurricane hit at least once in the next 5 years
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

0.40951  

Step-by-step explanation:

P(none in five years)   = 1 - 0.1 = 0.9

P(at least one) = 1 - P(none in five years)

= 1 - 0.9^{5}

= 1 - 0.59049

= 0.40951

So the probability of a hurricane hit at least once in the next 5 years is  0.40951  

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The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If th
Ierofanga [76]

The number of cars that have passed through the intersection is 245.

<h3>How many cars passed through the intersection?</h3>

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases.

The equation that represents direct variation is; c = wk

Where:

  • c = number of cars
  • w = number of wrecks
  • k = constant of proportionality

1085 = k31

k = 1085 / 31

k = 35

c = 7 x 35

c = 245

To learn more about direct variation, please check: brainly.com/question/27573249

#SPJ1

3 0
2 years ago
3|1/2x + 5| + 7 = 5
egoroff_w [7]

Answer:

<em>x is -34/3 and -26/3</em>

Step-by-step explanation:

Given the expression

3|1/2x+5| + 7 = 5

Removing the modulus sign

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(1/2x+5) + 7 - 7= 5 - 7

3(1/2x+5) = -2

Open the bracket

3/2 x + 15 = -2

Subtract 15 from both sides

3/2 x + 15-15 = -2 - 15

3/2 x = -17

3x = -2*17

3x  = -34

x = -34/3

<em>Hence the value of x is -34/3</em>

<em>For the negative function:</em>

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(-(1/2x+5)) + 7 - 7= 5 - 7

3(-1/2x-5) = -2

Open the bracket

-3/2 x - 15 = -2

Add 15 from both sides

3/2 x + 15-15 = -2 + 15

-3/2 x = 13

-3x = 2 * 13

-3x  =26

x = -26/3

<em>Hence the value of x is -26/3</em>

4 0
3 years ago
Name the property illustrated.<br><br> 1 + 4 = 4 + 1
aleksley [76]

Answer: Communitive property of addition

Step-by-step explanation:

The communitive property states that if you reverse the order of a multiplication or addition problem you will get the same result.

communitive property examples

x + 2 = 2 + x

xy = yx

4 0
3 years ago
Can anyone help me please.
Delvig [45]
How am I suppose to help you if I can’t see the words. It’s too blurry.
3 0
3 years ago
!please help!<br> what is 22/22-12/22?
inn [45]
22/22-12/22= 10/22
Which can be simplified as 5/11
4 0
3 years ago
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