Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2
Average speed is the total distance traveled by an object at a certain period of time. To calculate for the average speed we divide the total distance covered by the total time. We do as follows:
Average speed = 560 meters / 25 seconds = 22.4 m/s
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0
Solve this quadratic for x:
x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5 (answer E)
1/2a + 2/3(30)= 50
1/2a + 20 = 50
1/2a= 50-20
1/2a= 30
A= 30(2)
A= 60
The solution is 60.
Hope this helps!
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>