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kifflom [539]
4 years ago
12

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability of a lock

without all even digits? There to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is
Mathematics
2 answers:
kicyunya [14]4 years ago
7 0

Answer:

To find the total number of outcomes for this event, find the permutation of ⇒ 9.

The total number of outcomes is 3024

The total number of favorable outcomes is a permutation of ⇒ 4

The probability that the lock code consists of all even digits is ⇒ 24 out of 3,024.

Step-by-step explanation:

Elenna [48]4 years ago
6 0
Probability of lock code with all even digits =  (4/9) ^ 4 =  256/6561 = 0.039 

So probabiilty of lock without all even digits = 1 - 0.039  =  0..961.
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Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as
stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

a=7\ cm\\c=13\ cm

substitute

13^{2}=7^{2}+b^{2}

Solve for b

169=49+b^{2}

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

we have that

<em>Jayden's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\b=13\ cm

substitute and solve for c

7^{2}+13^{2}=c^{2}

49+169=c^{2}

218=c^{2}

c=\sqrt{218}\ cm

c=14.76\ cm

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\c=13\ cm

substitute

7^{2}+b^{2}=13^{2}

Solve for b

49+b^{2}=169

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

therefore

Sheridan's Work is correct

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Answer:

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Step-by-step explanation:

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