Answer: The sequence is geometric
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.
Common difference = given term - the term before it
In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.
Common ratio = given term/the term before it
Looking at the given sequence,
1) d = 6 - - 2 is not equal to - 18 - 6
Therefore, it is not an arithmetic sequence
2) r = 6/- 2 = - 18/6 = - 3
Therefore, it is a geometric sequence.
The population is increasing by 1500 each year and starts at 1970 population ( = 4800) so the equation is
y=1500x+4800
Answer:
See below.
Step-by-step explanation:
Again, another great question!
This should be under physics, as it involves Work = Force * Distance. As Anne pushes the wheelbarrow with a force of 70 Newtons with respect to an angle of 50 degrees horizontal, the horizontal force is 70( cos 50 ). The distance over which the work is done is 25 meters, so work should be -
Work = ( 70( cos 50 ) )( 25 ),
Work = ( About ) 1124.87 Joules
<u><em>The work done when Anne pushes the wheelbarrow a distance of 25 meters, is 1124.87 Joules</em></u>
Answer:
C. 0.98
Step-by-step explanation:
Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.
P(B<0) = 0.9*P(A<0)
P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))
P(Z<-x/y) = 0.9*P(Z<-2)
P(Z<-x/y) = 0.0205
x/y =2.04
Or y/x = 1 /2.05
y/x =0.49
Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)
= 2*(y/x)
= 2*0.49
= 0.98
