The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>
The equation of the ellipse is given as:
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
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With a typical 52-card deck that has 4 jacks, Margaret is playing a game. The game is initiated by the first player to choose a jack. When choosing first, Margaret's probability of selecting Jack is 1/13.
The same will occur since probability will be determined using the formula necessary outcome divided by total outcome.
Here, the total number of cards in the deck (total outcome) equals 52.
Given that Margaret can select any of the four jacks, the necessary result (number of jacks) is 4.
Probability is 4/52, or 1 by 13, which is the required probability for the question.
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The switching from old gas guzzlers to more fuel-efficient cars is an example of substitution effect.
Substitution effect is the switching of customer from a more expensive product to a cheaper product. This is usually because of an increase in price or a decrease in the customers income.
Substitution effect can be positive for consumers if they can continue to by the products they like. Also, this effect can be negative for consumers if it results in fewer choices of that product or products of lower quality.
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