Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
If the linear function has the domain (-2, -1, 0, 1, 2). Then the range of the function h(x) = 2x + 3 will be (-1, 1, 3, 5, 7).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The function is given as
h(x) = 2x + 3
The linear function has the domain (-2, -1, 0, 1, 2).
For x = -2
h(-2) = 2 (-2) + 3
h(-2) = -1
For x = -1
h(-1) = 2 (-1) + 3
h(-1) = 1
For x = 0
h(0) = 2 (0) + 3
h(0) = 3
For x = 1
h(1) = 2 (1) + 3
h(1) = 5
For x = 2
h(2) = 2 (2) + 3
h(2) = 7
More about the domain and range link is given below.
brainly.com/question/12208715
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Answer:
Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment
In parallelogram ABCD, AC is a diagonal.
Given: 
and 
As, we know that opposite angles in parallelogram are equal.
therefore,
Now, in ΔADC
Sum of the measures of angles in a triangle is 180 degree.
Substituting the values of 
and we have;
or
Subtract 
from both sides we get
Therefore, the measure of angle CAD is 
.
Easy it's like regular subtraction
-2 -2=-4 if it's the same sign you add
-2+4=2 different is subtract
