Answer:
(x)^2 (y)^2
---------- + --------- = 1
4 3
Step-by-step explanation:
The standard equation for an ellipse is
(x-h)^2 (y-k)^2
---------- + --------- = 1
a^2 b^2
The center is at (h,k)
The vertices are at (h±a, k)
The foci are at (h±c,k )
Where c is sqrt(a^2 - b^2)
It is centered at the origin so h,k are zero
(x)^2 (y)^2
---------- + --------- = 1
a^2 b^2
The center is at (0,0)
The vertices are at (0±a, 0)
The foci are at (0±c,0 )
The vertices are (±2,0) so a =2
The foci is 1
c = sqrt(a^2 - b^2)
1 = sqrt(2^2 - b^2)
Square each side
1 = 4-b^2
Subtract 4 from each side
1-4 = -b^2
-3 = -b^2
3= b^2
Take the square root
b=sqrt(3)
(x)^2 (y)^2
---------- + --------- = 1
4 3
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
5-minute period
This means that
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
There are 35 ways to get a sum of at least 3 when rolling 2 dice.
Out of the 36 possibilities, the only way to NOT have a sum of at least 3 is by rolling two 1's.
Answer:
Greater to lesser :
Step-by-step explanation:
The denominator in the first fraction is 100 and 300 in the second, which means the first one was multiplied by 3 ( 100 * 3 = 300)
Multiply the numerator by 3: 33 * 3 = 99
The answer is 99.