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Leto [7]
3 years ago
5

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth . what is the proba

bility of a hurricane at least once in the next 5​ years?
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1

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

-----

= 1 - 0.90^5

= 1 - 0.59049

=0.40951 or 0.41.

41% probability that there will be a hurricane at least once in the next 5​ years.

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Can someone please help?? what’s the measure of the vertex angle
maw [93]

Answer:

120 deg

Step-by-step explanation:

There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.

The measure of the vertex angle is 2 * 60 deg = 120 deg

Answer: 120 deg

7 0
3 years ago
a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie
Ratling [72]

Answer:

12\pi (inches)^{2}

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = 24\pi (inch)^{2}

Find the volume of the cone?

We know the area of cone = \pi r(r+s) -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

24\pi=\pi r(r+s) -------(1)

\frac{24\pi }{\pi r} =r+s

\frac{24}{ r}-r =s

Put r value in above equation.

s =\frac{24}{ 3}-3

s=8-3

s=5

The side s = 5 inches

We know the side of the cone formula

s^{2}=r^{2}+ h^{2}

h^{2}=s^{2}- r^{2}

Put r and s value in above equation.

h^{2}=5^{2}- 3^{2}

r^{2} = 25-9

r^{2} = 16

r = 4

The volume of cone is

V = \frac{1}{3} \pi r^{2} h

Put r and h value in above equation.

V = \frac{1}{3} \pi (3)^{2}\times 4

V = 12\pi (inches)^{2}

The Volume of the cone is 12\pi (inches)^{2}

7 0
3 years ago
Solve v^3 = -26 where v is a real number.<br> Simplify your answer as much as possible.
il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to -\sqrt[3]{26}.

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

5 0
3 years ago
Y=–6x+2<br> –12x – 2y=–4<br> How many solutions does this linear system have?
DerKrebs [107]

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

<h3>Linear equation</h3>

y = -6x + 2

-12x - 2y = -4

  • Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

  • Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

  • Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

Learn more about linear equation:

brainly.com/question/4074386

#SPJ1

3 0
2 years ago
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
elena-s [515]

Answer:

63

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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