Answer:
24 square units
Step-by-step explanation:
For such questions it is convenient to choose the "base" to be a segment that is aligned with one of the coordinate axes. Here, the horizontal segments will serve. Their length is the difference between the x-coordinates of the end points, -2 -(-6) = 4, for example.
The height is measured perpendicular to the base, so will be the difference between the y-coordinates of the horizontal segments: 2 -(-4) = 6.
The area is given by the formula ...
A = bh
A = 4·6 = 24 . . . square units
Answer:
<h2>M(-6, 4)</h2>
Step-by-step explanation:
The formula of a midpoint of (x₁, y₁) and (x₂, y₂):
We have two points (-3, 7) and (-9, 1).
Substitute:
Answer:
the set of elements that are common to each of the given sets
Step-by-step explanation:
Do you know what n equals so i can solve it?<span />
Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81
