Answer:
a) 25%
b) 50%
c) 87.5%
Step-by-step explanation:
There are
number of outcome in total.
a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.
- HHHH
- HHTH
- HTHH
- HTTH
b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%
- HHHH
- HHHT
- HHTH
- HHTT
- THHH
- THHT
- HTHH
- TTHH
- TTTT
- TTTH
- TTHT
- HTTT
- HTTH
- THTT
Answer:
He failed to flip the inequality
y ≤-1/2x-4
Step-by-step explanation:
-x-2y ≥8
Add x to each side
-x+x-2y ≥x+8
-2y ≥x+8
Divide by -2. Remember to flip the inequality
-2y/-2 ≤-1/2 x +8/-2
y ≤-1/2x-4
Shawn shaded the wrong side of the line.
Y is less than or equal to . He failed to flip the inequality
18 / 2 = 9 || 9 x 3 = 27. Therefore, 27 students are registered in Bob’s class.
Answer:
y=-.5x+4
Step-by-step explanation:

<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
where
(h, k) is the vertex. In the given equation,
, the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)