Answer:
Sector area = (central angle / 360) * PI * radius^2
Sector area = (1/6) * PI * 3^2
Sector area = 9/6 * PI
Sector area = 4.7123889804
Step-by-step explanation:
Answer:
Step-by-step explanation:
A to C
y = b + mx
b = y-intercept
m = slope of line
Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.
The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.
Looking back we can see that our variables now have value so we can plug them into our formula.
y = b + mx
b = 0
m = 3
Substitute
y = 0 + 3x
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.
I believe the answer should be 77
Answer:
The square of a prime number is prime
