Answer: 5-6i
The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.
Answer:
<h3>The option D) 1.50 is correct</h3><h3>That is the standard error of the sample mean is 1.50</h3>
Step-by-step explanation:
Given that a population that consists of 500 observations has a mean of 40 and a standard deviation of 15.
A sample size is 100 taken at random from the given population.
<h3>To find the standard error of the sample mean :</h3>
From the given Mean=40 and 
For N=100
<h3>The formula for standard error is

</h3>
Substitute the values in the above formula we get



∴ 
<h3>∴ The standard error of the sample mean is 1.50</h3><h3>Hence the option D) 1.50 is correct</h3>
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes