Answer:
Step-by-step explanation:
<u>Let the integers be:</u>
- n, n + 1, n + 2 and n + 3
<u>Their sum is 114:</u>
- n + n + 1 + n + 2 + n + 3 = 114
<u>Solving for n:</u>
- 4n + 6 = 114
- 4n = 108
- n = 108/4
- n = 27
<u>The numbers are:</u> 27, 28, 29 and 30
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
Answer:
Step-by-step explanation:
F = ma
ma = F
a = F/m
Answer:
2 face cards
Step-by-step explanation:
By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
Answer:
x=7 because 25-4=21 and 21 ÷3=7
