Luz speaks Spanish fluently. For every 102 words she speaks, she only mispronounces 6 words. What is the probability the next word she speaks is said correctly?

The probability that the next word she speaks is correct is 16/17, .9412, or 94.12%.

Step-by-step explanation:

First find the probability of getting a word incorrect, this is done by taking the number of words incorrect and subtracting that from the total. Then taking the difference and putting it over the total.

p(correct)=(102-6)/102

p(correct)=96/102

p(correct)=16/17

p(correct)=0.9412

Therefore the probability that the next word she speaks is correct is 16/17, .9412, or 94.12%.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

16.9 times 2.85

step-by-step explanation: