Answer:
Race completed in 48 minutes.
Step-by-step explanation:
Let the speed of Max on hoverboard is = x
Then as per question speed of Victoria on hoverboard = 3x
Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3
Now we will form the equation.
As we know the formula speed = distance/time
Let the time taken by both to complete the race be t minutes.
Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard
Then the equation will be
12(3x)+(1/3)x(t-12)=xt
So 48 minutes it took to complete the race.
Answer:
g(-2)=3
g(0)=-5
g(3)=2
Step-by-step explanation:
g(-2)= -2(-2)+ 3(-2) - 5
4-6-5
2-5
g(-2)=3
g(0)= -2(0) + 3 (0)-5
0+0-5
g(0)=-5
g(3)= -2(3) + 3(3)-5
-6+9-5
3-5
g(3)=2
Given:
Sample mean = 65.4
Standard deviation = 1.2
Sample size = 45
Confidence level = 99%
To find:
The confidence interval.
Solution:
The formula for confidence interval is
where, 
is sample mean, z* is confidence value, s is standard deviation and n is sample size.
Confidence value or z-value at 99% = 2.58
Putting the given in the above formula, we get
Therefore, the correct option is D.
If we consider the center of the habitat to be a point - then a circle with a radius of 1.5 km <u /><u />would satisfy the problem.
The path would go around the point (habitiat) and would always be 1.5 km from that point.
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
is the component for state
, then you have
which means
. So the state vector is
.
