So to factorise an expression, you put it into a form where if you expanded the brackets, you'd get the given expression.. if that makes sense. Therefore, you need to multiply the 3 by something to get 18a, and so the first term is 6a. You don't need to multiply 3 by anything to get 3, so the second term is 1. The final result looks like:
3(6a + 1)
The margin of error can be calculated using the t
statistic. The formula for margin of error is given as:
<span>Margin of error = t * s / sqrt (n) ---> 1</span>
Where,
t = the t score based on the given confidence level and
degrees of freedom
n = number of samples = 21
s = standard deviation = 7.1
Degrees of freedom = n – 1 = 21 – 1 = 20
Based on the standard probability tables for t, the t
score is:
t = 0.860
Substituting into equation 1:
margin of error = 0.860 * 7.1 / sqrt (21)
margin of error = 1.33
The range is:
range = 30.1 ± 1.33
range = 28.77, 31.43
Therefore the commute time to work is between 28.77 minutes
and 31.43 minutes.
Answer:
A3
B4
C6
D5
E2
F7
G1
Step-by-step explanation:
I matched the letter to number :)
The centripetal acceleration of the object is .
Explanation:
We have,
Radius of a circular path is 2 m
It takes 5 seconds to complete 10 revolutions. It means its angular velocity is :
The centripetal acceleration of the object is given by :
So, the centripetal acceleration of the object is .