Answer:
3b: 1/26
4i: 1/4
4ii: 1/13
4iii 1/13
4iv: 1/13
4v: 3/13
Step-by-step explanation:
3b. there are 26 letters in the alphabet, and there is only 1 S, thus the answer is 1/26
4i: There are 13 cards in each suite, so there is a 13/52 = 1/4 chance.
4ii: There are four aces (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iii: there are four 7's (Spades, Hearts, Diamonds, and Clubs) so thus the answer is 4/52 = 1/13
4iv: there is a king in each of the suites, therefore the answer is 4/52 = 1/13
4v: there are a total of 12 court cards (4 kings, 4 queens, and 4 jacks) thus the answer is 12/52 = 3/13
Answer:
(x+3)^2+(y+2)^2=80
Step-by-step explanation:
Since a stop sign is an octagon it has eight sides. So the perimeter will be:
p=8x, p=perimeter and x=side length. We are told that the perimeter is equal to:
16x^2-80x so we can say:
16x^2-80x=8x subtract 8x from both sides
16x^2-88x=0 factor out 8x
8x(2x-11), since we know x>0
x=11/2
x=5.5 units
Let the speed of the joker initially be x mi/hr
after reduction, the new speed will be: (x-1) mi/hr
but
time=(distance)/(speed)
hence :
Total time taken will be:
4/x+5/(x+1)=41/20
solving for x we get:
x=21.585 mi/hr
thus the initial speed was 21.585 mi/hr after reduction the new speed was 20.585 mi/hr
