Answer:
(a) 7.69%
(b) 25%
(c) 2.78%
Step-by-step explanation:
(a)
In a deck of 52 cards there are 4 aces.
The odds in favor or the probability of selecting an ace is:
Thus, the probability of selecting an ace from a random deck of 562 cards is 7.69%.
(b)
The outcomes of each toss of a coin is independent of the other, since the result of the previous toss does not affect the result of the current toss.
The probability that both the tosses will end up in heads is:
Thus, the probability that both the tosses will end up in heads is 25%.
(c)
The sample space of two dice consists of 36 outcomes in total.
Out of these 36 outcomes there is only 1 Boxcar, i.e. two sixes.
The probability of a boxcar when two dice are rolled is:
Thus, the probability of a boxcar when two dice are rolled is 2.78%.
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
Check the picture below.
the line you drew for y = 2x +3 is correct, now recall that the line for x = 3 is just a vertical line, in red, and that y = 2 is just a horizontal line, in green.
now all lines are solid because all are using ⩽ or ⩾, meaning the borderline is included, and you can do a "true" "false" region check if you wish, but less than 3 is to the left of the red one, greater than 2 is above the green one and less than 2x + 3 is just to its left.
Answer:
A'(1, 0 ), B'(1, 2 ), C'(3, - 2)
Step-by-step explanation:
using the rule, add 3 to the x-coordinate and subtract 2 from the y- coordinate of the original points.
A' = (- 2 + 3, 2 - 2 ) = A'(1, 0 )
B' = (- 2 + 3, 4 - 2 ) = B'(1, 2 )
C' = (0 + 3, 0 - 2 ) = C'(3, - 2 )
71,500 square miles or 185,180km^2
