Answer:
i^0 = 1
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
This pattern repeats itself over and over again. If it is a large exponent, divide the exponent by 4. Then, apply that remainder to the rule explained above
EXAMPLE: i^207
207/4 = 51 remainder 3.
i^3 is -i,
so i^207 = -i
hope this is what you were looking for
Answer:
Loonie is incorrect
Step-by-step explanation:
Both these numbers are divisible by 7. This means we can right the ratio keeping in mind every value added is like adding a 7. Now that we understand that 7 goes into these values we can divide them by 7. 35 divided by 7 is 5 and 42 divided by 7 is 6. The ratio would be 5:6 meaning Loonie is incorrect.
I guess that Z is more consistent
Using the normal distribution, the probability is given as follows:
.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with .
The parameters for the binomial distribution are:
p = 0.5, n = 13.
Hence the mean and the standard deviation are:
- .
Using continuity correction, the desired probability is P(X > 9.5), which is <u>one subtracted by the p-value of Z when X = 9.5</u>, hence:
Z = 1.66
Z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485, then:
.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
No.
Step-by-step explanation:
9 Does not go into 47 or 23