Answer:
x=2
Step-by-step explanation:
Answer:
The probability that Katie will draw a face card on her next turn is 3/13, or approximately 23%.
Step-by-step explanation:
In a regular deck, there are four suits (clubs, spades, hearts and diamonds). Each suit has 13 cards that go from 2 - 10 plus the Ace, King, Queen and Jack. Since Katie is playing using a 26-card deck of only two suits, then there are only two kings, two queens and two jacks in the entire deck. In order to find probability, we form a fraction where the denominator is the total number of outcomes, in this case 26, and the numerator is the number of desired outcomes, in this case the total number of face cards in the deck - 6. So, the probability that Katie will choose a face card on the next turn is 6/26, which simplifies to 3/13 in lowest terms.
Answer: The value of y=9.
Answer:
Hello!
I gave a picture of the dot reflected across the x axis! and heres the coordinates!
Original coordinates: 3, -7
New coordinates: 3, 7
Answer:
Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have
Therefore, the value of 
is 
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,
