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3 years ago

If Miranda flips a coin twice, what is the probability that both coins will land heads up?

Mathematics

2 answers:

Rashid [163]3 years ago

8 0

Answer: The probability that the first coin will land heads up is : 50

The probability that the second coin will land heads up is

The probability that both coins will land heads up is : 25

Step-by-step explanation:

kozerog [31]3 years ago

5 0

Answer:

Answer: The probability that the first coin will land heads up is : 50

The probability that the second coin will land heads up is

The probability that both coins will land heads up is : 25

Step-by-step explanation:

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A spherical pressure vessel is required to contain 1.5 m3 of compressed natural gas at 22 MPa . If the tank is made of A516 grad

kifflom [539]

Answer:

The required thickness of the tank wall is 87.7668 mm.

Step-by-step explanation:

Given :

Volume of vessel is V=1.5 m³.

A spherical pressure vessel is of compressed natural gas at P=22 MPa.

If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa.

i.e. $\sigma_{max}=150\ Mpa$

To find : What is the required thickness of the tank wall?

Solution :

The diameter of the vessel is given by,

$\frac{d}{2}=\sqrt{\frac{3V}{4\pi} }$

$\frac{d}{2}=\sqrt{\frac{3\times 1.5}{4\times 3.14}}$

$\frac{d}{2}=\sqrt{\frac{4.5}{12.56}}$

$\frac{d}{2}=\sqrt{0.358}$

$\frac{d}{2}=0.598$

$d=1.196\ m$

Convert into mm,

$d=1.196\times 1000=1196.82\ mm$

The thickness of the wall tank is given by,

$t=\frac{Pd}{2\sigma}$

$t=\frac{22\times 1196.82}{2\times 150}$

$t=\frac{26330.04}{300}$

$t=87.7668$

Therefore, the required thickness of the tank wall is 87.7668 mm.

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3 years ago

Write 56 as a product of primes. Use index notation when giving your answer.

mixas84 [53]

Answer:

56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

Step-by-step explanation:

We need to write 56 as a product of primes.

Prime Numbers:

Numbers that are divisible by 1 or itself.

Now, writing 56 as product of primes

56 = 2 x 2 x 2 x 7

Now, Use index notation when giving your answer.

Index Notation:

Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2

So, answer will be:

$56 = 2 \times 2 \times 2 \times 7$

$=2^3 \times 7$

So, 56 as a product of primes using index notation is: $\mathbf{2^3 \times 7}$

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3 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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