Answer:
About 1.23 standard deviation above the mean
Step-by-step explanation:
From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation
That would be through calculating the z score as follows;
z-score = (x - mean)/SD
where x is the given value
z-score = (87-71)/13 = 1.23
Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean
Answer:
Step-by-step explanation:
Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).
The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.
The method is called the pigeon hole method.
We know that domain of log(x) is ∀ x>0.
=>
domain of log(7x) is also ∀ x>0, or (0,∞) in interval notation.
The direct path back forms a right triangle. Use the Pythagorean theorem:
X = sqrt(4^2 + 2^2)
X = sqrt(16 + 4)
X = sqrt(20) = 2sqrt(5)
X = 4.472
Round the answer as needed.
