Given:
The equation of ellipse is
To find:
The length of the minor axis.
Solution:
The standard form of an ellipse is
...(i)
where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.
We have,
...(ii)
On comparing (i) and (ii), we get
Taking square root on both sides.
Consider only positive value of b because length cannot be negative.
Now,
Length of minor axis =
=
=
So, the length of minor axis is 8 units.
Therefore, the correct option is B.
Answer:
Step-by-step explanation:
Given
Solving (a): The mean of the 6 samples.
This is calculated as:
So, we have:
Solving (b): The sample standard deviation.
This is calculated using:
So, we have:
The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
<h3>How to solve Algebra Word Problems?</h3>
Team A won 3 more medals than two times the medals won by Team B.
If the number of medals won by team B is x, than;
Number of medals won by team A = 3 + 2x
Number of medals won by team B = x
Also, we are told that Team A won 9 more medals than Team B.
Thus;
(3 + 2x) = x + 9
2x - x = 9 - 3
x = 6
3 + 2x = 3 + 2(6) = 15 medals
Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.
Read more about Algebra Word Problems at; brainly.com/question/13818690
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Answer:
Step-by-step explanation:
1. Find the millilitres of chlorpheniramine
V = 2 × 100 mL = 200 mL
2. Convert millilitres to ounces
3.Convert ounces to bottles
Since 10% of $100 so 100(0.10) = 10, they both make an additional deposit of $10. So, they have the same amount of money after the first additional deposit.
After the first additional deposit, Leroi has 1110+ 10 = $120. Sylvia has 110 + 0.10(110) = 110 + 11 = $121. So she has more money after the second deposit.
<u>Sylvia will continue to have more money after a month and a year since 10% of the balance is going to be greater than the $10 deposit that Leroi is making. </u>