Answer:
12.7 cm
Step-by-step explanation:
ABC
12² = 6² + BC²
12² - 6² = BC²
144 - 36 = 108
CB² = 108
√108 = 10.392
CB = 10.392
CBD
Sin (55°) = CB / CD
0.81915 = √108 / CD
CD = 10.392 / 0.81915
CD = 12.686
CD = 12.7cm
The answer is: Yes, all conditions for inference are met.
Answer:
18
Step-by-step explanation:
multiply 7 and 3
reduce 15/5 to 3
subtract 21-3
18
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of times is n = 20
The probability of getting three or more heads in a row is 
The probability of getting three or more heads in a row or three or more tails in a row is 
Generally given that it is a fair coin , then 
Here P(T) is probability of getting three or more tails in a row
Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as
=> 
=>
Answer:
mean=4.44
standard deviation=1.67
Step-by-step explanation:
The mean and standard deviation for the number of erroneous returns per batch can be calculated using binomial distribution. The binomial distribution is used because
i) There are one of two possible outcomes( error or no error) that can be categorized into success and failure.
ii) The experiment is repeated fix number of times 12.
iii) The probability of success remains constant at each trial i.e. 37%
iv) The trails are independent.The mean and standard deviation of binomial distribution are np and √npq
Here, n=12, p=0.37 and q=1-0.37=0.63
mean=12*0.37=4.44
standard deviation=√12*0.37*0.63=√2.8=1.67
