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Fofino [41]
2 years ago
7

The performance of a cyclist in a race is affected by whether it rains or not that day. The probability the cyclist crashes is 5

/8 when it rains and 1/8 when it's dry. On a given day the probability of rain is 1/3 . What is the probability that the cyclist doesn't crash on any given day? please help me
Mathematics
1 answer:
ZanzabumX [31]2 years ago
4 0

To solve this problem, we have to consider the fact that if the probability that the cyclist may crash due to some circumstance. The probability the cyclist doesn't crash at any given day is 3/8

<h3>Probability</h3>

The probability the cyclist crash when it's wet or dry will be the

P = P_w_e_t * P_d_r_y

  • P(wet) = 5/8
  • P(dry = 1/8

The probability the cyclist crash on any given day is

P = \frac{5}{8}*\frac{1}{8} =\frac{5}{64}

we can subtract 1 from the value above to find the probability the cyclist doesn't crash at any given day

P = 1 - \frac{5}{64} \\P=\frac{3}{8}

The probability the cyclist doesn't crash at any given day is 3/8

Learn more on probability here;

brainly.com/question/24756209

#SPJ1

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4 years ago
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<h3>Answer is  0</h3>

===========================================================

Explanation:

Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.

If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.

------------

Or put another way,

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------------

You can use the change of base formula to directly calculate this log

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Step-by-step explanation:

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