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DiKsa [7]
3 years ago
10

A fair coin is tossed 3 times in a row What is the probability that heads appears on only the last toss

Mathematics
1 answer:
Pavel [41]3 years ago
8 0

Answer:

1/8

Step-by-step explanation:

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Evaluate the expression 5 x (8+6-2)
Rom4ik [11]

Answer: 60

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
Kruka [31]

Answer:

Surface area of the cube = 216 square units

Step-by-step explanation:

Let the length of a side of a cube = x unit

Diameter of the sphere inscribed in this cube = length of a side of the cube

Volume of the sphere = \frac{4}{3}\pi r^{3}

Where r = radius of the sphere = \frac{x}{2} units

36π = \frac{4}{3}\pi (\frac{x}{2})^{3}

36π = \frac{4x^{3}\pi }{24}

36×24 = 4x³

x = \sqrt[3]{\frac{36\times 24}{4} }

x = 6 units

Length of a side of the cube = 6 units

Surface area of the cube = 6×(Side)²

                                          = 6×(6)²

                                          = 216

                                          = 216 square units    

3 0
3 years ago
To the nearest hundredth, what is the value of x? <br> 36.08<br> 41.51<br> 47.81<br> 72.88
Crazy boy [7]

Answer:

B

Step-by-step explanation:

Using the law of sines, we can make a proportion.

But first, we'll need to solve for the unknown angle.

We add up the two known angles and subtract that by 180.

90 + 41 = 131

180 - 131 = 49

So the unknown angles is 49.

Then, we can use the law of sines.

Make the equation.

sin(90)/55 = sin(49)/x

Simplify this using a calculator and you get around 41.51 or option B.

5 0
2 years ago
The incenter is the center of the _______ circle of a triangle
blagie [28]

Answer:

In

Step-by-step explanation:

An incircle is a circle inside a triangle that touches all three sides of the triangle.

5 0
3 years ago
A building may fail by excessive settlement of the foundation or by collapse of the superstructure. Over the life of the buildin
patriot [66]

Answer:

0.1536

Step-by-step explanation:

The computation of probability that the building failure will occur over its life is shown below:-

P(building failure) is

P(ES \cup C)\\\\ = P(ES) + P(C) - P(ES\cap C)\\\\ = P(ES) + P(C) - P(ES) P (C | ES)\\\\ = 0.12 + 0.06 - 0.12 \times 0.22

now we will solve the above equation

= 0.18 - 0.0264

After solving the above equation we will get

= 0.1536

Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.    

3 0
2 years ago
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