Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
<u>Independent events:</u>
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
<u>Dependent events:</u>
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
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12 cards = $15.00
1 card = $15.00 ÷ 12 = $1.25
Answer: $1.25
Answer:
- When Three sides of the triangle are known
- Two sides of the triangle is known and corresponding angle is included
- Two angles known and their included side given
- Two angles known and the length of a non included side is given
Step-by-step explanation:
The measure that will determine a unique triangle are
- when Three sides of the triangle are known
- Two sides of the triangle is known and their corresponding angle is included
- Two angles known and their included side given
- Two angles known and the length of a non included side is given
unique triangles are termed unique because they can be drawn only using one way
Answer:
252
Step-by-step explanation:
To answer the equation, you first need to note that it asks for surface area.
To find surface area, you use an input formula, known as <em>SA=2lw+2lh+2hw</em>. 'H' stands for height, 'L' stands for length, and 'W' stands for width.
Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.
<em>SA=2(6)(3)+2(6)(12)+2(12)(3)</em>
<em>SA=252</em>
<em>Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations. </em>
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
