Answer:
Probability = 0.0288
Step-by-step explanation:
For the first draw.
There are total of 52 cards in a deck of cards and a total of 26 red cards in a deck of cards.
Probability of drawing a red= 26/52
Probability = 0.5
For the second draw. Actually the initial card drawn was replaced. Total number of face cards are 12.
Probability of drawing a face card = 12/52= 0.23076923
For the third draw .
There are 13 diamond cards in total.
Probability of a diamond = 13/52
Probability = 0.25
Probability of red,face, diamond= 0.5*0.23076923*0.25=0.028846
To four decimal place = 0.0288
A_{5} = a_{1} + 4d = -5 + 4 x 6 = 19
Answer:4.64
Step-by-step explanation: I took the test on this and it was correct
Recall that for all t,
cos²(t) + sin²(t) = 1
Now,
x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)
y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)
so that substituting into the identity above, we get
((x + 7)/5)² + ((y - 9)/5)² = 1
which we can rewrite as
(x + 7)²/25 + (y - 9)²/25 = 1
(x + 7)² + (y - 9)² = 25
and this is the equation of a circle centered at (-7, 9) with radius 5.
